diff --git "a/data/dm_maths/full_data/1770_11255.jsonl" "b/data/dm_maths/full_data/1770_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1770_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 0.5562972 months in decades?\nAnswer: 0.00463581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 1 + 2, -p = 4*b - 757. Let g = 188 - b. Let w(n) = 2*n - 4. Let r(h) = 2*h - 4. Determine g*w(i) + 3*r(i).\nAnswer: 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-16) + 3\/(-2). Is p smaller than -5\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69303 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*p = -23 + 3756, -p = -5*f + 3749. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, 3, 6, 17, 42, 87, 158, 261?\n\"Answer: g**3 - 5*g**2 + 9*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -245, -242, -237, -230?\n\"Answer: n**2 - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4609*g + 51 = -4605*g - 3*x, 3*x + 15 = g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1263785 + 0.103619. Let v = k + -0.23. What is v rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37\/155 + 5\/31. Which is the second biggest value? (a) 2 (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11281.45 + 11319. What is h rounded to 1 dp?\nAnswer: 37.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -75*z**2 - 6*z - 10. Let a be g(-3). Let j = a - -1159. List the prime factors of j.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -68*q**4 + 2*q**3 + 30*q**2 + q + 3. Let c(i) = i**4 + 2*i**3 + i - 1. Let p(a) = -c(a) + h(a). What is the third derivative of p(y) wrt y?\nAnswer: -1656*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35138 (base 9) to base 10\nAnswer: 23444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 2*y - 5*y + y + y - y + (-4*y + 2*y + 7*y)*(0 + 2 - 9))*(0*y + 3*y - 2*y) as x*y**2 + u + n*y and give x.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Let t(p) = p**2 - 4*p + 1 + c - 3*p**2 + p**3. Is 10 a factor of t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + -21100102222?\nAnswer: -21100110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 3, 0.7, -83166, 1.5?\nAnswer: -83166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21544*j + 21480*j + 9354 = 3018 for j.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -24\/5 (c) 0.4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 5044\/156)*6\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 25 + 5 = 5*f, -x = -3*f + 4. What is the tens digit of 9\/(225\/(-40))*x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 126, 268\/3 in descending order.\nAnswer: 126, 268\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -233?\nAnswer: -233.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**2 + 2*o. Let i = -729 + 725. Let c(s) = 36*s**2 - 15*s. Calculate i*c(j) - 30*x(j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - j)*(j - 3*j**2 + 2 - 2) + 2*j**3 + 4*j**3 - 4*j**3 + (-3*j**2 + 3*j**2 - 2*j**2)*(-2*j + 2 - 2).\nAnswer: 9*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 4, 0.2, 0.1, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/12)\/((-303)\/(-19089)))\/(3\/2)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + f + 127. Is o(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -668, -228, 210, 646, 1080, 1512?\n\"Answer: -u**2 + 443*u - 1110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 45. Let t(s) = 19*s**3 - 2*s**2 - 3. Let o be t(3). Let u be 1\/x*4 - o. Round u to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2178, 4354, 6530, 8706, 10882, 13058?\nAnswer: 15234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/10 and -107\/1144.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/5)\/f)**(4\/19)*(f*f*f*f**(-3))**(-6) assuming f is positive.\nAnswer: f**(-24\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 498, 982, 1466?\n\"Answer: 484*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-197)\/985 + -1 + (4 - 1 - 2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 240804*l**2 + 120386*l**2 + 120394*l**2 - 1.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 345*g**2*l**2*s + 2*g**2*l*s + 15*g*l**2*s - 9*g*l - l**2*s wrt g.\nAnswer: 690*l**2*s + 4*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 713719*f*h**3 - 4*f*h**2 - 50233*f*h wrt h.\nAnswer: 4282314*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -2*s - 53, 2*q - 915*s + 34 = -917*s for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*r = -2*r - 221, 869 = 4*d + 3*r. What is the remainder when d is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342905 times 3.4?\nAnswer: 1165877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 1566711 = -5*p + 1566701, 0 = -3*x - p + 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qff when three letters picked without replacement from fqfffqj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 246181455 a multiple of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 + 23*j**2 - 13*j - 8. Let s = 59 + -71. Let w be c(s). Solve p = -3*r - 8, -3*r = -0*r - w*p - 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-2)))\/b*b**(-4))\/(b**(-6)*b**(1\/2)\/b) assuming b is positive.\nAnswer: b**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/7)*p**(1\/6))**44 assuming p is positive.\nAnswer: p**(1342\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 120, 242, 364, 486, 608?\n\"Answer: 122*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166702 - 166702 - 1042*j**2)*(j - j + 4*j) - 5*j**3 + 6*j**3 + j**3.\nAnswer: -4166*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 5*k**2 - 5*k + 1. Calculate w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, d: 2, z: 1, g: 4, u: 1}. Give prob of sequence gggz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b = 3. Let v = -38 + 42. Solve f = m - b, -f + 1 = -v*m + 7*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18904, 18907, 18910, 18913, 18916?\n\"Answer: 3*x + 18901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-99)\/(-6) - 3\/6. Let c be b*2\/(8\/3). List the prime factors of (0 + c)*(-4)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 176\/8*(0 + 1). Calculate the greatest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 55566340, 111132682, 166699024?\n\"Answer: 55566342*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/21, -38, -22, 2, 49, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 59*z - 4. Let a(i) = -119*i + 9. Let r(f) = 6*a(f) + 13*l(f). Is 24 a factor of r(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 633 - (4 + 6 + -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(95)\/sqrt(125))**2.\nAnswer: 684\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -460 - -466. Let w be r\/(0 - 2) - (-132)\/22. Solve -w*d - 9 = 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.1576 - -20.2.\nAnswer: 17.0424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -61*r - 2. Let y(i) = -110358*i. Give y(v(p)).\nAnswer: 6731838*p + 220716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 869*f + 12160. What is l(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001447 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04196 + -260.78804. Let g = -261 - x. What is the closest to 2\/7 in -0.3, 1\/4, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27311285 rounded to the nearest 10000?\nAnswer: 27310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 h when three letters picked without replacement from {g: 1, r: 2, h: 2, q: 1, a: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (-4)\/((-24)\/(-14)). What is the third biggest value in -0.13, v, 0.4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -201*h - 164. Give q(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 11) + (8 - -2 - 7 - -1) - -20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18402300 (base 10) in base 13?\nAnswer: -3a74147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 143, 158, 127, 44, -97, -302, -577?\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -24*w. Let y(i) = -3*i. Let t(j) = -j. Let g(o) = 6*t(o) - y(o). What is f(g(d))?\nAnswer: 72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 1842, -68, 2.\nAnswer: -68, 2, 63, 1842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n**2 - 2*n**3 + 5 + 5*n**2 + 2*n**2 as t*n**3 + k*n + v*n**2 + g and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -137 + 132 - 38 - (2 + (0 - 1))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 159, 350, 527, 684, 815?\n\"Answer: -t**3 - t**2 + 201*t - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((-24)\/(-10))*-4. Suppose 1 = -f + 8. Suppose 6*z - z + f = 2*s, 5*z + s + 19 = 0. Sort c, 4, z in increasing order.\nAnswer: c, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 33*m - 174. What is the first derivative of 135*i**2 - 135*i**2 + 176 + 185*i**m wrt i?\nAnswer: 740*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7732*z = 7639*z + 465. Solve -2\/15*r**z - 56\/15*r - 16\/5*r**2 + 4\/5*r**4 + 22\/15*r**3 + 0 = 0 for r.\nAnswer: -2, -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3839.1344 + -0.1.\nAnswer: -3839.2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006683 rounded to 7 decimal places?\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 4:29 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -197, -131, -21, 133, 331, 573, 859?\n\"Answer: 22*h**2 - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3208.7 + -3209. Do x and 682 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-6)*8\/6. Let r = 27.2 - 26.74. Let n = 0.06 - r. Which is the nearest to 0.2? (a) -3 (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2354 + 2.\nAnswer: -2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 103 = 142. Suppose -109596 = f*g - 257*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14723?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 9:31 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -2358?\nAnswer: 2358.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152603 is divided by 576.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 179*n**4\/12 - 259*n**3\/6 + 2*n**2 - 125. What is the derivative of x(j) wrt j?\nAnswer: 358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 864*y + 861.\nAnswer: 3*(y + 1)*(y + 287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x**2 + 0*x**2 + 4*x**2)*(1 - 3 + 0) - 6*x**2 - 4*x**2 - 4 + 11*x**2 to the form r*x**2 + p*x + f and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x. Let r(l) = 36*l**2 + 45*l + 45. Let c(d) = -d**2 - d - 1. Let n(w) = 45*c(w) + r(w). Calculate n(m(o)).\nAnswer: -225*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -17*a**2 + 3919*a - 10126. What is i(228)?\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 32, 68, 120, 188, 272, 372?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 172201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1)*f))**(1\/22) assuming f is positive.\nAnswer: f**(1\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 - 2*p. Let w(h) = 4*h**2. Give w(u(j)).\nAnswer: 36*j**4 - 48*j**3 + 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -202101?\nAnswer: -202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 37. Let f = u - -20. Let a(b) = -b**2 + 4*b - 1. Determine a(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13387 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/6)*n**(1\/10)*((n\/n**(-2\/7)*n)\/n)\/n**(4\/13) assuming n is positive.\nAnswer: n**(1244\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*y + 12 + 55 - 96 + 19 + 11.\nAnswer: -272*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**3*q**2 - 2*m**3*q - m**2*q + 9*q**2 + 2*q wrt q?\nAnswer: -4*m**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - -1 - (-3 + (22 - 15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -152 - -154. Let p(a) be the second derivative of -3*a + 0*a**3 + 0 + 1\/6*a**4 + 0*a**c. Let x(q) = -3*q. Determine p(x(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -34, 22, 54, 13 in increasing order.\nAnswer: -34, -4, 13, 22, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - n - 2. Let c be d(3). Let j = 68 - c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 - 1197892*c\/7 - 179368155458\/7.\nAnswer: -2*(c + 299473)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvv when three letters picked without replacement from {j: 1, v: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2. Let k = -6 + 8. Let b(d) = 4*d - 4*d - d**k. Determine b(f(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/9 + 0)*3. Let m be (52\/(-6))\/(g\/(-6)). Let t = 128 + -102. What is the highest common factor of m and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by -3*(0 + 2) - -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -11, -1, -2\/11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13073 + -2967561\/227. Let b be 4\/(-66)*29655\/1362. Let y = b - z. What is the common denominator of y and 32\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -274*p**4 + 12*p**3 + 2*p**2 - 18062 wrt p.\nAnswer: -1096*p**3 + 36*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)\/(n**(-3\/8)\/n))\/((n**(-1\/5)\/n)\/n**(-7)) assuming n is positive.\nAnswer: n**(-1159\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 9 - 24. Suppose 2*u - 8 = -2*n, -9*u + 13 = 2*n - 6*u. Let d be 16301 - (o - (3 + n)). Round d to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 k when four letters picked without replacement from {l: 7, k: 9, a: 2}?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -55, -18 in ascending order.\nAnswer: -55, -18, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpmd when four letters picked without replacement from {u: 5, d: 1, p: 2, b: 6, m: 1}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n\/(n\/(n\/n**(-6\/5))))\/n))\/(n**(-2\/25)\/n*n))\/(n**26*n*n**(-20)) assuming n is positive.\nAnswer: n**(-203\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -12944?\nAnswer: -12942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1 + 2*z + 0 - 1. Let j(a) = 5*a**2. Give j(p(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11454*u**2 + 47 + 11404*u**2 + 5*u**3 + 140*u - 55 - 92 - 20 = 0. What is u?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8*a = -16. Suppose 12 = -a*d + 16. Which is bigger: d or 2\/243?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.093 - -0.007. Let f = -0.4 + q. Let m = -8 - -6. What is the fourth smallest value in 3\/7, m, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -2 - 4 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 6*a**2 - 5*a**2 + 2 + 3*a**2. Let q be m(-2). Let v = 10 + q. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1151, -42, 1\/10, 1\/8?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*h = 56, -4*s - 29 = 4*h + h. Let f = 11 + s. Which is bigger: f or 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2343634833.\nAnswer: 3, 109, 383, 18713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -39235*s - 431608. Determine i(-11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.8, -126, 5, -3\/5, 0 in ascending order.\nAnswer: -126, -3\/5, -1\/2, 0, 0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*z + 4, 0 = -5*s - 25*z + 27*z + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07856 * -241.\nAnswer: -18.93296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(405))\/(-2*sqrt(81) - sqrt(81)).\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7023 + -210769\/30. What is the common denominator of v and -89\/758?\nAnswer: 11370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 - 4*d + 3. Let u be t(2). Suppose -35*x + 127*x - 460 = 0. Solve -v + 4*s - u + 2 = 0, -5*v = x*s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vovhvoq. What is prob of sequence ooq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108)\/sqrt(3))\/sqrt(12) + 0)*3)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/11)\/d**2)**(-3\/5)*(d\/d**(-3\/8)*d*d\/d**(-1\/3))\/d**22 assuming d is positive.\nAnswer: d**(-4541\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 22 + 42 + 2*b to l + m*b and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(0 - 6\/(-3)). Suppose -5*a + 2*l = -3*l - 245, f = -4*l + 16. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 16 = 0, 12 = i - 3*i + 3*y. Suppose -3*b = 3*f, -8 = 2*b - i. What is the third derivative of -f*w**2 - 15*w**2 - 6*w**3 + 40*w**3 wrt w?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/120 + s**4\/12 + 8*s**3\/3 + 11*s**2 - 5. Factor m(k).\nAnswer: -(k - 8)*(k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 15*v**2 + 13*v + 3. Let k be b(-14). Let n = 32 - k. Suppose 0 = -n*z + 9*z + 354. What are the prime factors of z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u + 945 = -10*u - 11*u for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.9 - 29. Which is the second biggest value? (a) -4 (b) t (c) -0.2 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*c + 358*c + 4*j + 2 = 0, 0 = c + j + 11 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/5 (b) 1\/4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -7. Suppose z - 4*r**2 + 3*r**3 - 1 + 4*r - 6*r - r**3 = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -11*w + 217. Suppose -20 = -10*i + 7*i + 5*h, -h = -4*i + 4. What are the prime factors of k(i)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18532 = -12*a + 1760. List the prime factors of a.\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 1:56 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 7*q - 3. Let a be (5 - 9)\/(2\/4). Let u be i(a). Suppose -k = -t + 14 + 7, 86 = 4*t - u*k. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5545784215 to the nearest integer?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45669 and 2769.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*u - 2*z + 8 + 18, -15*u + 3*z + 72 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*q**2 + q**5 + 6 - 6 + 0 wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 29. Let u = -2\/233 + 245\/1398. Let q = -702 - -707. Which is the second smallest value? (a) u (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - g - 4)*(0*g + 0*g + g**2 + (-g + 3*g - g)*(2*g + 3 - 3)).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 28*y**3 - 6*y**3 - 15*y**3 - 3*y**3 - 7*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3337030 is divided by 1023?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2166 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/24 + (-57)\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(17*f - 1 + 17*f - 32*f) - f + 4*f + 0*f.\nAnswer: 9*f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1260722*y**4 - 833017?\nAnswer: -5042888*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9869478 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11243753?\nAnswer: 11243753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Let u = 103\/15 + -7. Put g, u, 6 in increasing order.\nAnswer: u, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m + 1. Let h(u) = -u. Let t be 6\/(-90)*10*(-3 + -3). Give t*h(a) - 3*p(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 44, 230*r - 233*r - 31 = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 0*v**3 + 5*v + 1\/6*v**4 + v**2 + 0. Determine c(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + -57 + 58 - -134.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -9. Calculate the common denominator of 5\/12 and (1\/(-16))\/(p\/(-42)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002775876 to seven decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1110111?\nAnswer: 1111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2658*i + 4751 = -27145 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/11 + 21467358*y**2 - 6970317943010448*y\/11 + 6970317706869512\/11 = 0 for y.\nAnswer: 1, 59035234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 8. Suppose m = o + 4*o - 345. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 + -41 - (4 + -1) - 15) + 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243123863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 2*t - 5*t. Let q be (-456)\/(-14) - 339\/(-791). Let f = t - q. Calculate the smallest common multiple of 18 and f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + -10 + 17\/2. Sort 11, q, -2 in decreasing order.\nAnswer: 11, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -28*r**2 - 2*r - 2. Let p(h) = 29*h**2 + 3*h. Suppose f - 10*f - 27 = 0. Let w(z) = f*b(z) - 2*p(z). What is the first derivative of w(q) wrt q?\nAnswer: 52*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21452869 to the power of 1\/3, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2 + 5*z. Let o(a) = -a**2 + 3*a**2 + 13*a - 16*a. Let m(j) = -5*o(j) - 3*x(j). Let q(c) = 7*c**2 - 3*c**2 + 0*c**2 + 0*c**2. Determine m(q(s)).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 932 + 54 = 2*a - 4*n, 4*a - 1994 = -3*n. Calculate the least common multiple of 426 and a.\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 - 3*o + 0*o - 5*o**2 + 2*o + 10 + 8*o. Determine i(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 4*u**2 + 4*u + 1. Let n be j(-3). Let b be (n - -1)\/((-3)\/12). Let a = b - -2. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -1\/3 (c) 9 (d) -0.011\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7625 = 461*z - 7939 + 4335 - 3062 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36630283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/20 and -107\/490.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, g: 1, r: 3, s: 6}. Give prob of sequence rqq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2\/4 - 482415*a - 3859240.\nAnswer: -5*(a + 8)*(a + 385924)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -1.8. Let k = -1.1 - w. Let q = -0.01 - 1.99. Which is the nearest to -2\/5? (a) q (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from opgopgpoggopgp.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/4 - 279*f**3 + 25383*f**2 + 104904*f + 106032.\nAnswer: 3*(f - 188)**2*(f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 2. Let n(k) = 0 + 0*k - 3 - 2*k. Let i(c) = 2*n(c) + 3*p(c). Let m(l) = l - l - l + 2*l. Give m(i(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + -2 - (-8 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 7:10 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -501064, -1002137, -1503212, -2004289, -2505368?\n\"Answer: -q**2 - 501070*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 5)*((0*w**3 + 0*w**3 - 2*w**4)*(3 + 0 - 2) - w**3 + w**3 - w**4 + 0*w**4 + w**4 - 2*w**4 + (2 - 3*w**2 - 2)*(5*w - 3*w**2 - 5*w)).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 + 3. Let z(c) = -2*c**2 + 5*c. Let m(b) = -2*b. Let d(g) = -5*m(g) - 2*z(g). Calculate q(d(j)).\nAnswer: 64*j**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*p + 114 = 0. Let r = -27 - p. Suppose 0 = 2*t - 3*b + 16, 4*b + 23 = -5*t - 17. Are t and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 1:20 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -37.2, 0, 4, -0.2 in increasing order.\nAnswer: -37.2, -0.2, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2221 - 2156. Calculate the greatest common divisor of w and 650.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 7*d + 14. Give u(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 4) + (-6 - -10 - (1 - 16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-300)\/765 + 1\/17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -29*t**4\/4 - 289*t**3\/3 - 3*t**2\/2 - 12*t + 108. Find the second derivative of z(v) wrt v.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 3. Let z(x) = -8 - x + x - 3*x. Calculate -11*a(w) + 4*z(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u**4 + 5*u**3 - 60*u**2 - 55*u - 10 = 0. What is u?\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - o = 57118, 2*o - 15965 = -h + 12594. List the prime factors of h.\nAnswer: 28559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:44 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/14 + (-46)\/161. Suppose -3*l - v*a + 10 = -3*a, -l + 5*a - 6 = 0. Solve l = -4*b - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8662391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {x: 2, s: 5, h: 5, m: 7}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8448652227449 - 8448638412343.999802. Let n = 13815088 - a. Let x = 17 + n. Round x to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {s: 6, o: 1, x: 5, j: 1, q: 1, z: 3}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -728*s**3 - s - 321 wrt s.\nAnswer: -4368*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42902 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31619071*g**2*y**2 - 4*g**2 - 2*g*y**2 + 7*g*y - 2*g + 59673*y**2 - y + 1 wrt g.\nAnswer: 63238142*y**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 6585048*s - 27101785726440.\nAnswer: -2*(s - 8231310)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j. Let a(u) = -269335*u. Let n(o) = 866*o. Let v(x) = 4*a(x) + 1245*n(x). Calculate v(g(t)).\nAnswer: -5810*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -23, 48, -2, 3, 18 in decreasing order.\nAnswer: 48, 18, 3, -1, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3 + -1 + 3 + -5 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 78872673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4.9 * -95906\nAnswer: 469939.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(61\/(21594\/(-295)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 2:38 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-1*9\/(-6). Suppose -f*n + 2*x = 2*n - 26, -5*n = x - 32. Solve -o = o - n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*o**2 + 24*o**3 - 106*o**2.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -15*k**3. Let w(a) be the first derivative of 3*a**4\/4 + 6. What is -4*r(y) - 21*w(y)?\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 12:04 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 7*u - 4. Let r be x(-8). Suppose 0 = r*k - 991 - 373. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6+-15.809\nAnswer: -9.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/368*598\/338.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 736, 1171, 1606, 2041?\n\"Answer: 435*r + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3732 and 1842?\nAnswer: 1145724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**4\/18 + 28*h**3\/27 - 25*h**2\/9 + 8*h\/3 - 420. Factor v(b).\nAnswer: -2*(b - 12)*(b - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 14*d - 22. Let l be r(12). Suppose 2*u - 4 = -l*j - 2, j = 3*u + 5. Solve 0 = -j*b + 7 + 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 4. Let n be q(-7). Let k = n - 3. List the prime factors of 30 + (-4)\/8*k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**3 - 4*v - 4. Let d(z) = z**3 + 17*z**2 + 16*z - 1. Let s be d(-16). Let c(l) = -l**3 - l - 1. Determine s*j(b) + 4*c(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 less than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21932529 is divided by 556?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 5 + -7 + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -722. List the prime factors of w.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r - 3. Let u(m) be the first derivative of -5*m**2\/2 - 4*m + 6. Let j(z) = 4*b(z) - 3*u(z). Let o(d) = 693 - 693 - 7*d. What is j(o(v))?\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 7*u**2 - 4*u + 6. Let j be v(4). Let k(q) = q**2 - 7*q + 12. Let z be k(-15). What is the greatest common divisor of z and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 23*g**3 + 13*g**2 - 9*g + 2. Let b(f) = 11*f**3 + 6*f**2 - 4*f + 1. Let m(j) = -13*b(j) + 6*r(j). Let x be m(-1). Solve 0 = 4*n - 2*n - x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 12:01 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 16*n + 11. Let k = -319 + 320. What is the tens digit of z(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 52290736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -23. Suppose l*m - m = -66. Let p = 48 + m. Solve 3*t = 8*t + p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 + -42. Let s be 1\/((-5)\/2025*-5). Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2199 divided by -5?\nAnswer: 2199\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6252*b**2 + 9*b - 96 wrt b?\nAnswer: -12504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctwm when four letters picked without replacement from {m: 1, w: 1, c: 1, t: 1, s: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*m - 92*m - 21*m + 25*m)*(-1 - 1 + 1).\nAnswer: 124*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 6557 = -4*m + 6519, 11*t = -2*m - 79 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n**2 + 11*n**2 - 2*n**2 + 2 - n. List the prime factors of q(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.054 + 0.946. What is the smallest value in -9, -4, d?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 19 = -5*z, -5*v + 0*z = -5*z - 35. Let b be 2\/v + (-1149)\/(-12). Let y = 401 - 389. What is the greatest common factor of b and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5336, 1050, -3 in increasing order.\nAnswer: -3, 1050, 5336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119*a - 63*a + 3 - 59*a)*(a**3 + a**2 + 2*a**2 + a**3).\nAnswer: -6*a**4 - 3*a**3 + 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19388345\/4 or 4847085?\nAnswer: 4847085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35*t**3 + 2*t + 282 wrt t?\nAnswer: 105*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**3 - 56*i**2 + 18*i + 113. List the prime factors of r(21).\nAnswer: 37, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124042830804 - 124042830804 + 2*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**4 - 3*i. Let c = -9 + 13. Let x(z) = -2*z**4 - 3*z. Let b(j) = c*x(j) - 5*t(j). What is the second derivative of b(q) wrt q?\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4*b + 15 = 0, v + 0 + 16 + 0 = 15*b - 18*b - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Let z be (-1)\/6 - 15\/18. Is 8 a factor of (z + 19\/3)*d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 9*h**2 + 5*h + 4. Determine j(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-42)*4*24\/(-480)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**4\/24 + y**3\/2 - 26*y**2. Let s(i) = i**3 + 6*i**2 + 5*i - 5. Let v be s(-5). What is z(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16, -17, -16, -13, -8?\n\"Answer: x**2 - 4*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 + 4*s**2 + 0*s**2. Let k(y) be the third derivative of 0*y**4 - 10*y**2 - 1\/12*y**5 + 0*y + 0 + 0*y**3. Determine k(f(p)).\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616712540?\nAnswer: 2, 5, 2143, 14389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31392 divided by -327?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/471057 <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -12868 + 3*x**3 + 8*x**2 - 2*x**3 - 17*x + 12870. What is v(-8)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/831 and 19\/1385?\nAnswer: 4155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.203582 tonnes to milligrams.\nAnswer: 3203582000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*q + 78*q = 1360 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691498 is divided by 204.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*z + 87 = 173 + 751 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n**2 + 37*n + 16. Give g(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2010.138ml?\nAnswer: 2.010138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22202112210 (base 3) in base 14?\nAnswer: 46bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w + 6. Let r(x) = -7*x + 7. Let d(u) = -2*u**3 - 31*u**2 - 45*u - 39. Let i be d(-14). Give i*y(g) - 2*r(g).\nAnswer: -7*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156712 and 3971.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2 - 11*i + 1345. Suppose 3*z + 4 = 4*z. Suppose -k - 2*c + 0*c = -14, -z*k = -c - 83. Calculate the remainder when k is divided by s(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*g**2 + 96*g**2 - 172*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 14 = 4*j - 0*j, -2*u - 4*j = -10. Let g(c) = 5*c + 25*c**2 - 2*c - 7*c - 1 + 3*c. Calculate g(u).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7466, -15284, -23102, -30920?\nAnswer: -38738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 784+4\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5)*(-170)\/(-85)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1336*m**2. Let b(s) = 2*s**2. Calculate b(k(v)).\nAnswer: 3569792*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101572 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 - 7*z**2 + 3*z - 3. Determine i(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 5*h**2 - 2*h + 12. Determine q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14882211 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, -129, 1, 4701 in descending order.\nAnswer: 4701, 151, 1, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.9745 times 72\nAnswer: 70.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1606 + -1605.981. Let s = 48.043 - 48. Let r = s + w. What is r rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*h + 4031 = -5704. Calculate the greatest common factor of h and 5302.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129\/5 - 25. Let u = 0.2 - 0.3. Let l = 2 + -1.6. Which is the biggest value? (a) l (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x + 4*l = 19, 0 = -5*x + 5*l + 20. Let b be 7\/((-77)\/(-22)) - (-28)\/x. What is the second biggest value in -4, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6107284830?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 4*x**2 - x - 3. Let r be s(3). Suppose -2*y - y - r = 0. Let h(b) = 12*b**2 + 2*b + 1. What is the remainder when 21 is divided by h(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n. Let l(v) = -5*v - 7. Calculate l(s(w)).\nAnswer: -60*w - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*z + 4*d - 34 = 95*z, 4*z = 2*d + 18. Solve -w - h + 8 = 0, 9*w - 13 = z*w - h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52781, 211136, 475063, 844562, 1319633?\nAnswer: 1900276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2549318.\nAnswer: 2, 179, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:55 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikki when four letters picked without replacement from {i: 2, o: 2, k: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56564 and 1286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 0)*(555\/35 - -2). Let i = d - -36. Sort i, 0.4, 4, -3.\nAnswer: -3, i, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-8\/9)\/(f**16\/f))**(-1\/31))**15 assuming f is positive.\nAnswer: f**(715\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.71 + 36.29. Let n = a - 37.000051. Round n to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**4\/4 - 11*l**3\/3 + 13*l**2\/2 - 23*l + 18. Let f be q(-12). What are the prime factors of 10\/f - (-639)\/7?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/8*30\/(-9). Let t(i) be the first derivative of i**2 + 0*i - 3 + 0*i**4 + 1\/5*i**j + 0*i**3. What is the second derivative of t(l) wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -16, -1, -24138, -29 in decreasing order.\nAnswer: -1, -2, -5, -16, -29, -24138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 18 = t, 4*t = 3*p - 7 + 3. Suppose -10 = -p*d - 6. Let w = 8 - d. Solve -5*v + w = 22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690447.\nAnswer: 11, 239, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792*o + 788*o = -f - 1125, 0 = 3*o - 4*f - 860. Solve -2*w + o - 266 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*v - 281 = -70 - 1765 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -7*k**3\/3 + k**2\/2 - 9*k. Let j be r(1). Let v = 23 + j. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*p - 44*p - 23*p - 38*p)*(4*p - 16 + 16).\nAnswer: -292*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 234 (base 6) to base 13\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.27 + -0.27. What is the smallest value in p, -1\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 16*g**2 + 34*g - 239. What is z(-9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.3, -0.06, 0.3, -1033\/2?\nAnswer: -1033\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -9*h**3\/2 - 11*h**2\/2 - h. Let d(f) = 41*f + 17. Let w(z) = -5*d(z) - 8*l(z). Does 23 divide w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 11, -5971, 0.\nAnswer: -5971, -6, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - (16 - 35 - -37).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2403547 is divided by 38766.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/29, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 32, 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.106 - 0.046. Let q = -0.048 + r. What is the biggest value in 3\/5, -0.5, q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 55.525501617.\nAnswer: 56.025501617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130*q**5 + 5356*q - 1612*q**4 - 5*q**2 + 131*q**5 + 1612*q**4 + 136*q**3 wrt q.\nAnswer: 20*q**3 + 816*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213634 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.5, -6, 2\/7, 2\/15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 23*l - 14 = 0. Let f be (-932)\/(-6) - l\/21. Calculate the highest common divisor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-5 + 1 + 0). Let j be g - (-9)\/(9\/2). Let r(w) = w**3 - 2*w**2 - 3*w - 1. Let u be r(3). Put j, -4, u in descending order.\nAnswer: j, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57b7d (base 14) to base 9.\nAnswer: 354843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 3986, -1, 14, 0 in descending order.\nAnswer: 3986, 14, 0, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17631 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3, 4*m - 162973 = 3*o + 2952. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x + 43104 = -705*x + 123*x - 376*x for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9824, 9765, 9608, 9305, 8808?\n\"Answer: -8*m**3 - m**2 + 9833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123139 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.025433? (a) -0.2 (b) 13\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 0 - (18 - 23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3.821, 16, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4310*u + 510. Is j(3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.5 (b) 4 (c) -60 (d) 3 (e) 5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + v + 3 = 9, -36 = -4*u + 4*v. Suppose -5*a = -2*w - 12, -a + u*w = 2*a - 11. Solve 0*j - 6 = a*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238083293 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 - 107. Let h be -4*(2 + (-17)\/c). What is the greatest common factor of h and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/7 + 1424*p + 3878625\/7 = 0. Calculate p.\nAnswer: -375, 10343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)\/k**2)\/(k**(-6)*k\/k**(1\/8))*(k**0)**(-48)\/(k**2)**(-1\/48) assuming k is positive.\nAnswer: k**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxj when three letters picked without replacement from jkjxwjjkkwjx?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + o**2 + 3*o - 3. Let l be q(4). Let m = -83 + l. Suppose -m*w = -4*w + n - 24367, -n + 36552 = 3*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 8*g = 444. Calculate the remainder when g is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/2 - 128*g**3\/5 + 9319*g**2\/10 - 8547*g + 113256\/5 = 0.\nAnswer: -78, 24\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2 - 2100*t + 16544 = 0. What is t?\nAnswer: 8, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o - 4. Let n(u) = 2*u**2 + 3*u + 4*u**2 - 3 - 5*u**o. What is the units digit of n(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01127445 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**3 + 2*u**3 + 6*u**2 - 4*u**3 + u**4 - 5*u**2 to i + p*u**4 + q*u + d*u**2 + m*u**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**5\/10 + 5*a**4\/3 + 8*a**3\/3 + 6*a**2 - 28*a. Is 15 a factor of h(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 2:06 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -634378 (base 10) to base 5\nAnswer: -130300003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 56a2 + 5e?\nAnswer: 5711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1270*h + 310*h - 29984 + 101084 = 0 for h.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, t: 2}. What is prob of picking 1 b and 2 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1\/2)*v)\/v*v**(-1\/2)*v*v\/(v*v*(v\/(v**(-2\/5)\/v))\/v)*v**(-6))**(-47))**34 assuming v is positive.\nAnswer: v**(59126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*r = -6*j - 4, -3*j = -4*r + 2. Suppose 0 = -4*h + j*x, -x = 5*h + x. Suppose s + h*s = 3. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 109, 166, 223, 280?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151.933 - 1.633. Let c = n - 22.3. Let x = c - 128.0000055. What is x rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Suppose -3*z - 62 = -y + 76, -4*z + 362 = 3*y. Suppose 0 = q*u + y - 456. What is u rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*v**3 - 219*v**2 + 219 wrt v.\nAnswer: 6*v**2 - 438*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 59*r**2 + 447*r - 155. What is i(-50)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1 = -44. Let p(n) be the third derivative of -n**6\/120 + n**5\/15 - n**4\/6 + n**3\/2 - 5*n**2. Let g be p(3). Solve g = 3*s + v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 13\/4. Which is the closest to o? (a) -2\/15 (b) 15 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2523 (base 8) to base 12.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*a - 100 = 460 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4) + 1)*12. Let r(y) = y**3 - 5*y**2 - 7*y + 5. Let s be r(j). What is the remainder when 25*(-6)\/(-3) + s is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q = 2*d - 21*q + 286, 2*d - 2*q = -286. Let i(n) = 39*n + 1. Let y be i(-2). Let l = y - d. What is the remainder when l is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11890683 and 172746?\nAnswer: 71344098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*g + 6*l + 8, 8 = 4*g + 2*l. Suppose 0*u = g*u. Suppose u = -0*j - 2*j + 24. Calculate the remainder when j is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 91*t**4\/12 - t**3\/6 - t**2\/2 - 3*t. Let l be g(-1). Let i = 19 - 6. Calculate the highest common factor of l and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3845 - -1448?\nAnswer: 5404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1498*b + 750*b + 140*b**3 + 748*b.\nAnswer: 140*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/((-6)\/(-24)). Suppose -b*r + 2 = -34. Calculate the greatest common divisor of 90 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + k + 2)*(0*k**2 + 2*k**2 - k**2)*(2 - 4 + 4)*(-6*k**2 + 4*k**2 + 3*k**2).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 8:32 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 464*s = 469*s - 5, 3 = b + 3*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -601 - -601. What is the fourth biggest value in d, 1\/3, 0.4, 7\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/60 + 13*x**4\/12 + 23*x**3\/6 - 922*x**2. Determine q(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*g - 4*h, 7*g - 4*g + 5*h + 5 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 565\/6*8\/40 and 117\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2855015 and 235.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3 - 1318\/(-6). Let v(d) = 35*d - 17. Let z be v(3). Let k = z - 68. Calculate the greatest common factor of k and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/6)\/((-2)\/(-42)). Suppose -17 = -5*w - r. Let t(j) = -w*j - 1 + 2*j + 8*j - j. Give t(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 70*i**4\/11 + 412*i**3\/11 + 504*i**2\/11 - 112*i\/11 - 64\/11 = 0. What is i?\nAnswer: -4, -2, -2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36\/((64\/(-180))\/(-8)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.6 - -3.6. Let x = 39.9 + -22.6. Let o = s + x. Which is the closest to o? (a) 2\/3 (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81.14 + -1.14. Let w = 80 - y. Let t = -0.1 - 0. Sort t, 3, w.\nAnswer: t, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*a - 27. Solve 0 = -4*o - 21 + a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**2 + 4*h + 5. Is 3 a factor of w(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.23 (b) 0.43 (c) -6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 11*g - 2. Let d be j(-11). Let k be 3\/d + 382799967\/(-22). Round k to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + k - 1. Let j(c) = -2*c**2 - 4*c + 3. Give j(i) + s(i).\nAnswer: -3*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -6. Suppose 5 - 15 = -3*z + n*i, i - 4 = 0. What is the highest common divisor of 15 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*x**3 - 33912*x + 788981 with respect to x.\nAnswer: -90*x**2 - 33912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3313798 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10341 (base 6) in base 12?\nAnswer: -9b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4692695?\nAnswer: 5, 7, 134077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1560*i**3 - 2*i**2 + 1424*i?\nAnswer: -9360*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011 (base 3) to base 11.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 7, 0.04, 0.1, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 134581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1218847312 minus 72?\nAnswer: -1218847384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4 + 1 + 1 - 3 - 1 + 0 + 3 + 0 + 0 - 1 + (-6 + 5 + 2)*(0 - 5 + 4))*(-51*u + 51*u - 45*u**2)*(3*u**2 + 4*u**2 - 4*u**2) - 2*u**4 + 2*u**4 + u**4.\nAnswer: -134*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -2, 2\/49, 0.35, -1, -4, 174?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-605)\/(-33)*((-276)\/30 + 8).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1120767 + -138.2.\nAnswer: 1120628.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3024, 6046, 9068, 12090, 15112, 18134?\nAnswer: 21156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 7*s. Let n be x(-7). Put 0.3, -2, n in increasing order.\nAnswer: -2, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9748*b - 3*z = 9751*b, 2 = -z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4120 and 47148250.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -49*r + 392. Let a be p(8). Do 0.002 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-623)\/(-445))\/((-2)\/(-10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 743.1042 and 0.04?\nAnswer: 743.0642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and -10\/771 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o + 6 = 25*o. Does 9 divide o + 7\/3 + 808\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 - 7*o**2\/3 + 10*o\/3.\nAnswer: o*(o - 5)*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 154751, 154749, 154737, 154709, 154659?\n\"Answer: -p**3 + p**2 + 2*p + 154749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20433 + -1130?\nAnswer: 14303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316630*l - 316799*l - 4563 = 0 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-8) + 196\/(-49).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 67796?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let g be 3\/6 + (-3)\/d. Let u = g - -1. Solve u = -4*l - 0 - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35664 divided by 1486\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4, 112, 5 in descending order.\nAnswer: 112, 5, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 347917 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.39626727 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 8:47 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3184)\/(-18) - 1\/(-9). Let c = 0 - -2. Suppose 4*s + l = -l + 346, -5*l + p = c*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 + 112. Suppose 25 = 4*y - 3*c + 5, -5*c = 0. Suppose -g - 2*w = -5*w - 4, -y*w + 68 = 3*g. What is the remainder when m is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*3 + (9 - -1643) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83247128, 83247122, 83247112, 83247098, 83247080, 83247058?\nAnswer: 83247032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/29 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 26 = 660*d - 657*d, 0 = 5*j - d - 23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -48\/574457 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 35. Suppose -3*q + 9 = v*q. Is 12\/7 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1066*t**3*y**3 - 6*t**2*y**3 - 45*t**2 wrt t.\nAnswer: -6396*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 125637, 125547, 125457, 125367, 125277?\n\"Answer: -90*s + 125727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11491, -11472, -11421, -11332, -11199, -11016, -10777?\nAnswer: -10476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -92 + 2. Suppose 194*x + 415 = 199*x. Calculate the remainder when x is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*p, -2*v + 2*p + 6 = -34. What is the highest common factor of 141 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 949?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -2. Suppose 1 = -3*z - 17. Let q be (9\/z)\/(30\/8). What is the biggest value in y, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350491, -701314, -1052137?\nAnswer: -1402960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329128?\nAnswer: 2, 41141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-3 + (-5 - -14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (77\/(-21) + 3)*-39*5. Let v = -37 + k. Suppose 3*b - 34 = 23. Calculate the remainder when v is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)\/(x*x\/x**(-2\/7)*x))\/(x*(x*x*x\/(x*x**(-6)))\/x*x**(1\/4)))\/((x*x\/x**0*x)**37*x**(-2)\/(x*x\/x**(-1\/10))) assuming x is positive.\nAnswer: x**(-50023\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, x: 2, s: 3, y: 9}. What is prob of sequence uy?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1714367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*s**5 - 18*s**5 - 2*s**2 - 4*s**2 wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -324992381 - -324991970.9999482. Let d = 410 + p. What is d rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189?\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -18. Let k(a) = -2*a**3 - 3*a - 3. Let z(i) = -i**3 - i - 1. Suppose 0 = 2*p + 3*p + 30. Let j = p - -4. Calculate j*k(f) + w*z(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5384.116g?\nAnswer: 5.384116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27598020283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -80280.059157 and 466.\nAnswer: -79814.059157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -256 + 256 + 4*d + 0*d as n*d + h and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10453*a + 10268.\nAnswer: 10453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 1866*c + 7508. What is u(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 + -65. Factor 14\/5*p + m*p**2 + 4\/5.\nAnswer: 2*(p + 1)*(5*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.1 and -1.453.\nAnswer: -16.1283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pppoppoppo?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*m**2 - 13\/4*m**4 + 0 - 1\/4*m**5 + 0*m - 12*m**3 = 0. Calculate m.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 0 + 0*p**5 + 9*p - 7\/6*p**4 + 0*p**3 + 0*p**2 - p**6. Find the third derivative of f(q) wrt q.\nAnswer: -720*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 3*o**2 - 73*o - 8294. Give q(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2998796*i + 2998795*i - 51 - 5997588*i.\nAnswer: 3*i - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 369363, 1477481, 3324337, 5909931, 9234263?\n\"Answer: 369369*n**2 + 11*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 11 = 1. Let q be 8\/(-10)*4\/((-32)\/20). Suppose -4*a + l + 24 = -3*l, q = 5*a + 2*l. Solve -k = 5*v + 5*i, -9 = a*i + i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i - 870 = -20568. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d + 85. What is w(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380 + 51 + 54 + 275 - 3159*a.\nAnswer: -3159*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 4*z - 17. Let r be i(7). Let h(w) be the second derivative of 0 + 1\/80*w**5 - 2*w + 1\/8*w**3 - 1\/8*w**2 - 1\/16*w**r. Factor h(q).\nAnswer: (q - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2. Let p be 5*6\/10*3. Suppose k - w - 5 = -0*k, 0 = -3*k + w + p. Let h(z) = -k*z**2 - 3*z**2 + 6*z**2. What is y(h(f))?\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*y**5 - 533*y**4 + 24070*y**2 - 3*y + 2?\nAnswer: 4080*y**2 - 12792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-28))\/(12\/126)*-4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + a - 4*t - 2225, a + 3*t = 445. What are the prime factors of a?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -41 in descending order.\nAnswer: 1, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 199495, 398985, 598475, 797965, 997455?\n\"Answer: 199490*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*l + 300. Let f be 4\/(4 + -3 + 0). Suppose 68 = -0*q + f*q. What is the remainder when l is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4394 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1*sqrt(75) - (sqrt(75) + (sqrt(75) - (sqrt(75) + 5 - sqrt(75) - sqrt(75)) - sqrt(75)) + 4)) + -4)**2.\nAnswer: 210*sqrt(3) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-36))\/(((-1479)\/29)\/153)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-240)\/252)\/(-10) - 1928\/(-42). Solve 65*l = 42*l - j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 288.9599 - -0.0401. Let o = 251 - v. Is o less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2112*i - 46458. Calculate g(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 9. Let u = 2 - -16. Suppose 2*z - 14 = 5*v, u = 5*z - 2*v - 2*v. Solve -b + 4*n + o = 0, -5*n + z = -b + 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -38*i + 28*i. What is the remainder when 14 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, -1\/2, 8, 1, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 + 4*m - 32. Let i be q(8). Let u = -196 + i. Let b = -103\/66 - -2\/33. Sort u, b, 4 in increasing order.\nAnswer: u, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158\/(-80) - 80\/(-50)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2 - 415530*n + 8633259045 = 0 for n.\nAnswer: 41553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 12810794?\nAnswer: 140918734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*p - 455*p + 792 = -176*p. Solve 0 = -p*w + 198 - 282 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*2\/(-3))\/(((-3930)\/(-585))\/(-131))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 25. Let j be (0 + -5)\/((-4)\/24*2). Let f be p(j). Let a(l) = 153*l**2 + 2*l - 2. Is a(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 4 (c) 0.5 (d) 1354 (e) 5\/4 (f) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 5*b**2 - 13*b + 76. Let a be h(4). Factor a*j**3 - 3*j**4 + 2*j**2 - 9*j**3 + 2*j**4 + 44*j + 3*j**2 - 47*j.\nAnswer: -j*(j - 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12043 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3647*k - 2091. What is the units digit of d(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:39 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12246 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 24*g + 1. Let o(l) = 49*l + 3. Determine 2*o(r) - 5*q(r).\nAnswer: -22*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.11 and -0.7.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-11\/5)*(k\/(k\/(k**(-1\/5)*k)))\/k)**(2\/81)*k**(-2\/9)\/(k\/(((((k**(1\/13)*k)\/k)\/k)\/k)\/k))*k**(-1\/2)*(k**1\/k)\/k assuming k is positive.\nAnswer: k**(-59809\/10530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l - 6. Let y(j) = 2515*j - 2. What is p(y(r))?\nAnswer: -20120*r + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**4 + 41*i - 41*i + (-2 + 2*i + 2)*(2 - 2 - 2*i**3) + 2*i**4 + 0*i**4 + 0*i**4 to r*i**4 + p*i**3 + z*i**2 + q + j*i and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 203*u - 9248. Give b(-63).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2104 - -1188.\nAnswer: 1188.2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 c, and 1 j when three letters picked without replacement from {d: 1, h: 2, j: 4, c: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*t + 35, 5*q = 4*t - 10 - 21. Let a = q - 1. Sort -10, -1, a, 5.\nAnswer: -10, a, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 1 (c) -4\/3 (d) -0.015\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 91 - 42 + 21 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:13 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from {f: 5, a: 5, u: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 7*d**4\/6 + 25*d**3\/6 + 16*d. What is the second derivative of b(s) wrt s?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 228 = 5*l. Suppose n + 2*n - l = 0. What is the remainder when (-21)\/(-28) - (-884)\/16 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/66)\/(27\/12). Let d = -5\/22 + p. Do 0 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i - 28*i + 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 114*g**2 - g. Let o be p(-1). Suppose 5*c + 20 = o. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -24*j + 13. Let g(b) = -13*b + 7. Let o be (209\/(-76))\/(2\/(-8)). Let r(u) = o*g(u) - 6*f(u). Calculate r(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9\/1517?\nAnswer: 9\/1517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -179*s**2 + 7*s + 5. Give c(-1).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 21 + 23*f**3 + (3 - 2*f**3 - 3)*(-2 - 2 + 5) + 22*f - 11*f**3 - 22*f to the form r + v*f**3 + b*f**2 + g*f and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-478)\/(-12) + (-1)\/(-6). Let d be 2\/3*18\/4. What is the units digit of 1\/(u\/(-14) + d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 + 3*b + 7. Let u(x) = -x**2 + x + 2. Let t(s) = -3*q(s) + 8*u(s). Suppose -3*p = 9*l - 4*l - 30, -3*l + 4 = -p. Calculate t(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*d - 4*b, 8*b - 4*b = -d - 3. Is (-2)\/(8\/(-8)*d) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7154410 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 202 + -15. Calculate the remainder when c is divided by (-64)\/(-1) + 2 + -2.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + 4 + -10 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 329 + -329. Which is the second smallest value? (a) 5\/9 (b) -5 (c) -0.2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/5 + 4\/5*m**2 + 2\/5*m**3 - 14\/5*m = 0. Calculate m.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tturuutttrtufufwtw. What is prob of picking 1 w, 2 f, and 1 t?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -12359?\nAnswer: -13\/12359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -4*j - 21, -5*j + 4*m = 5*m + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5765, 23041, 51813, 92075, 143821, 207045, 281741, 367903?\nAnswer: 465525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1073*b + 179321 - 29101 = 0 for b.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/15)\/((n*n**(-10))\/n*n*n*n)*n**6\/(n\/((n\/n**28)\/n)) assuming n is positive.\nAnswer: n**(-241\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 33, 0, 26, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emndx. What is prob of sequence de?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5821.5 - -5820.9. Let g = -26 + 51\/2. What is the nearest to g in v, -5, 8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 23*k - 274. Let r be v(12). Factor -r*j + 2 + 1\/2*j**2.\nAnswer: (j - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k. Let q(x) be the third derivative of -x**5\/60 + x**3\/3 - 7*x**2. Let t(y) be the first derivative of q(y). Calculate o(t(b)).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.22 in 1.1, 3\/7, -0.04, 5, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -495899\/141 + 3517. Is -1 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -859 + 868. Solve 4*t - 28 = -2*g, -5*g = z*t - 4*t - 45 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185065 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37143, 74280, 111417, 148554?\nAnswer: 185691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27129119 is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5 + 14766042*s**4 + 14766034*s**3 - 44298122*s**2 - 14766036*s + 29532080 = 0. Calculate s.\nAnswer: -7383020, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, 51, 5, 1432\/5, -1\/8 in increasing order.\nAnswer: -1\/8, 0, 0.2, 5, 51, 1432\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(1228 - 68*j - 1228)*(2*j**4 - 17 + 49 + 76).\nAnswer: 136*j**5 + 7344*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/55720 and -83\/39800.\nAnswer: 278600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 5*d - 3. Let u be ((-2)\/(-4))\/((-2)\/12). Let y be g(u). Suppose 3*v = -y*i - 6 + 18, 5*v + 4 = i. Solve 5*m - 2*m + 12 = v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 982723*p - 1545. Let y(q) = -7618*q + 12. What is 4*u(k) + 515*y(k)?\nAnswer: 7622*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 1\/60*d**5 + 0*d**3 + 0*d**2 + 1\/180*d**6 + 3\/4*d**4 + 24*d + 0. Let f(v) be the third derivative of q(v). What is f(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -9*x**2 + 4*x + 3. Let m(a) be the second derivative of -a**4\/4 + a**3\/6 + a**2\/2 - 4*a + 4. Determine -2*g(b) + 7*m(b).\nAnswer: -3*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.34570503 to one decimal place.\nAnswer: 77.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 1. Let d be v(-1). Suppose -3*h = 3*m - 8*h - 24, -m + 4*h + 15 = d. Let b be -3 - ((-3)\/m + 0). Is b greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 1\/4*o**2 + 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -4 (c) 0.8 (d) -199 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k - 34. Suppose 6*d - 6 = 3*d. Suppose -d*p = -4*q - 0*p + 44, -p = -q + 10. What is the units digit of f(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.1345811 rounded to zero decimal places?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5*s = 13, -7*m + 29 = -s + 24 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 12:25 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4810758 to the nearest integer?\nAnswer: 2193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165719.\nAnswer: 165719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 3*m**2 + 2*m**2 + (m + 5*m + 9*m)*(0 - 4*m + 0) - 9*m**2 + 10*m**2 + 21*m**2 as b*m**2 + j*m + h and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxak when four letters picked without replacement from {x: 5, k: 2, a: 3}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (3 + 1 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2164 - 3845. Let i = g - 4130. What is i rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -499*v**3 - 12*v**2 - v - 71. Let h(u) = 996*u**3 + 27*u**2 + 2*u + 143. Let n(s) = 4*h(s) + 9*l(s). Find the second derivative of n(r) wrt r.\nAnswer: -3042*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5864633036.\nAnswer: 2, 1153, 1271603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7))\/((-2888)\/2527).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -28, -1 in descending order.\nAnswer: 1, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 2*o + 1. Suppose -d + 3*f = -6, 3*d = -3*f - 0*f - 18. Let j(t) = -t**2 + t - 1. Determine d*q(s) - 5*j(s).\nAnswer: -s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + n - 84 - 20, 5*n - 112 = -2*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/2)\/b)\/b*b\/(b\/(b\/b**(-3\/4)))*b**15\/b*b\/((b*b**(-9\/4))\/b))**(-2\/13) assuming b is positive.\nAnswer: b**(-31\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 370740 and 370740 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1503, 1510, 1527, 1560, 1615?\n\"Answer: r**3 - r**2 + 3*r + 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1756, -5, -2, 3 in increasing order.\nAnswer: -1756, -5, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1651, -1644, -1625, -1588, -1527, -1436?\n\"Answer: d**3 - 1652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5006 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 456430 = 5*o, 5*o = 7*u - 12*u - 456440. Let l = -713 + u. What is l rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 2*r - 1. Let n be v(-3). Suppose n*b - 4 - 2 = 0. Let 2*i**2 + 4*i**4 - 3*i**4 - 4*i**b + 3*i**2 - 2*i = 0. What is i?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4050 + 23d?\nAnswer: -3d12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*k)*(-32*k - 7*k + 9*k) as h + b*k + i*k**2 and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 32 = 3*z, -200*b - 28 = -196*b - 3*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3359.\nAnswer: 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 22*v - 29. Give k(-11).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.259 to 1 dp.\nAnswer: 100.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(-1 + sqrt(2299)) - sqrt(152)\/(sqrt(8) - sqrt(88)\/(sqrt(33)\/sqrt(3)) - sqrt(8))).\nAnswer: -4 + 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11110000100101011001 (base 2) to base 12\nAnswer: -3b6335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19934 - -19935. Let d = 0 + -5. What is the nearest to 2\/7 in t, d, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058342 to the power of 1\/2, to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 8509*f**2 + 1440049*f - 160. Give j(-166).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -0.57. Let g = b - -0.03. Suppose 0 = -o + 6*c - 2*c + 8, 3*o = 4*c. What is the third smallest value in g, o, -2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7517204*b. Let u(k) = -2*k. Calculate u(d(m)).\nAnswer: 15034408*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - 4*w + 0*w + 0*w in the form c*w + q and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + 3*sqrt(102))\/sqrt(2) - (sqrt(51) - (sqrt(3264) - sqrt(3264)*4)))\/(((sqrt(108)*2 - sqrt(108)) + sqrt(108))\/(-5*sqrt(36)))*4.\nAnswer: 210*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -733952 by 1.\nAnswer: -733952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-1*-1 - (-2 + 1*sqrt(19)))*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 4 (c) -4\/39 (d) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 7. Suppose 9 = -u + i - 0*i, 2*u = 4*i - 28. Let t = 16 + -13. Put z, u, t in increasing order.\nAnswer: z, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 623?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (434*w + 963*w + 67*w)*(1 + 2 - 2) + 0*w - 6*w + 5*w - w + 5*w - 3*w + (0*w - w + 3*w)*(0 + 0 - 1).\nAnswer: 1462*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 1417297628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/160)\/(2\/8*-2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from smxssxxssxmsmmsxsss?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 25 - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(-10) - (-2)\/5. Suppose 5*a - 42 = 23. Suppose 10*v - a*v + 9 = 0. Is s smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + w = 193, 5*p = -w - 164 + 487. Suppose 3*h - 5*h + 6 = 0. Suppose h*u = -u + 208. What is the highest common factor of u and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/5)\/(-2) - (-12)\/(-20). Suppose n = 3*i - 15 + 12. Let b(t) = 83*t - 3. What is the units digit of b(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = 10*d + 45. Let f be 28\/d - 40\/(-300). Let q be (-34)\/(-6) + f\/(-3). What is the highest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*z - 3 + 2, 4*h - 6 = z. Let k(m) = -7*m**2 + 2*m - 1. Calculate k(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3807921.\nAnswer: 3, 13, 251, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 95372 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 8\/45 (b) -27\/23 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5 less than or equal to 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19476\/4869*8\/(-1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 501806121 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11)*h\/h**(-7\/3))\/(h\/(h\/((h\/(h\/(h*h\/h**(-8\/7))))\/h)))**(6\/7) assuming h is positive.\nAnswer: h**(-1397\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 4 - 12)*(10*o + 10 - 10) to a*o + u and give a.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132*h + 141*h + 325*h)*(-h**2 + h**2 - h**3)*(10*h + 6*h + 4*h) - 4 + 2*h**5 + 4.\nAnswer: -11958*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 855 + 371 - 131 + 236 - 93 - 238*z wrt z?\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1796019\/(-236))\/(-73) + ((-22)\/11)\/((-16)\/(-10))\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i + 2. Suppose 382 = -i*u + 5*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30765 = -119*p - 25767 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18612 and 1410?\nAnswer: 93060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/16)\/(7915\/202624)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.3 + -5.5. Let i = -24.972 + -0.028. Let f = i - l. What is the second smallest value in -5, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-300)\/(-205)) - (-198)\/(-45)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/30 - z**4\/4 + z**3\/2 + 3*z**2. Let q be k(2). List the prime factors of (8 + -3 + -2)*q.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (-4*sqrt(91)*2 - sqrt(91)) - sqrt(91))\/(-5*(sqrt(7) + (sqrt(7) - sqrt(21)\/sqrt(3)))) + -3.\nAnswer: -3 + 9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63*5\/(-175)*15.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 178*h**2 - 736*h + 744.\nAnswer: 2*(h - 2)**2*(h + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5859756?\nAnswer: 2, 3, 7, 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, and 1 z when three letters picked without replacement from vzzzt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -5. Suppose 4*f = 8 + d. Suppose -5*g + 170 = 5*h, f*g - g = -5. Solve -14 = 4*u + n + 11, 3*n = -4*u - h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -959 (b) -0.5 (c) 5 (d) -3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 4*t + 5. Let o be j(-4). Suppose 4*u + 18 = o*y - 24, 0 = -4*u + 8. Calculate the remainder when y is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -256, -260, -268, -280?\n\"Answer: -2*d**2 + 2*d - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6699 or -6942?\nAnswer: -6942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5957 times 3.23\nAnswer: -19241.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44760, -43649, -42538, -41427, -40316, -39205?\nAnswer: -38094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 4 - 2)*(3 - 4 - 1) - 2 + 2 + 1)*(-39*n + 36*n - 25*n) in the form w + d*n and give d.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 - (-4 - 0 - (-43 - -35))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -11. Do n and -3 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 150942?\nAnswer: 2, 3, 11, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*g = -z + 8, z + 8 = 4*g. Let w(t) be the second derivative of z*t**3 - t**2 + t + 0 + 1\/20*t**5 + 0*t**4. Differentiate w(k) wrt k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 4*g - 2. Sort -4, g, 0, 3 in descending order.\nAnswer: 3, g, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9558 + 63a3?\nAnswer: 1191b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 530 and 345097310?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, g: 5, i: 4, w: 6}. Give prob of picking 2 u.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 3*j = -12. Let c = 57 + -49. What is the lowest common multiple of c and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/48 + (-517)\/462.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5\/n*n)**(15\/7)*((n\/n**(-7))\/n)\/((n**(-12\/7)\/n)\/n*n))**(17\/2) assuming n is positive.\nAnswer: n**(2431\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 20. Let x = 23 + -15. What is the least common multiple of a and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*a + 13*a - 7*a)*(a**2 + a**2 - 4*a**2) + a**3 - 16*a**2 + 41*a**2 - 12*a**2 + (-a**2 + 5*a - 5*a)*(-4 - 2*a + 4).\nAnswer: 11*a**3 + 13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3137715, 6275412, 9413111, 12550812?\nAnswer: 15688515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 4. Suppose 4*h - 5*u + 20 = 0, 3*u - 4 - t = 5*h. Let z = 48.5 + -45.5. Which is the closest to h? (a) -1 (b) 4\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7876387543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 2*b + 3*y - 34, 2*y + 13 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -46*z - 1515. Determine l(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-11194)\/(-4) - 36\/72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*z + z + 4, -5*c = 5*z + 5. Let o be (-1 + (-39)\/z)*42\/28. Let h = -57 + o. Solve x = 5*n + 16, h = -3*n - 4*x + 5*x - 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53050748.\nAnswer: 2, 37, 347, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 228, 3268, 9108, 17742, 29164?\n\"Answer: -r**3 + 1406*r**2 - 1171*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3895417750 to the nearest integer?\nAnswer: 62413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 + -5 + 1 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*32\/216?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 33*l**2 + 80*l - 349. Give j(35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + (-48 - 18) - (-3 - (6 + -3 - -38)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 + 2 = 0. What is the units digit of 3878\/35 + -6 + u\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = -4*w, -2*w + 3*w = 3*j - 23. Suppose -9 = -0*r + 2*r + b, 3*r + 4*b + 11 = 0. Let o = j - r. What is the remainder when 20 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -4\/7, 2\/15, 1, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.59 * -0.5.\nAnswer: -8.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.112601 + 0.113. What is m rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 + 26 - (-15)\/2*(-32)\/(-48). Solve -r*o = 7*o - 186 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764329 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: Simplify (((l*(l*l\/(l*l\/(l**6*l)))\/l*l)\/l)\/l**(-7))**37 assuming l is positive.\nAnswer: l**518","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-4) + -2 + 21\/12. Let y(c) = -c**3 + c**2 + c + 15. Let p be y(0). Suppose -2*l = b*l + p. Let z(g) = g + 1. Calculate z(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28112867 to the nearest integer?\nAnswer: 5302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10))**(-9)*(((l*l\/(l**33\/l))\/l)\/l)\/(l*(l**(7\/6)*l)\/l) assuming l is positive.\nAnswer: l**(335\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 4?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3 - 34395*g**2\/2 - 24616044*g + 86366952 = 0. What is g?\nAnswer: -2868, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(1 + o**3 - 1) - 78*o**3 + 209*o**2 - 209*o**2.\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15314 and 7410.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 416, -6 in descending order.\nAnswer: 416, 58, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 6:53 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-60)*(2 + 17\/(-6))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -23, -42, -63, -86?\n\"Answer: -n**2 - 14*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4da (base 14) in base 12?\nAnswer: -694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707373524.\nAnswer: 2, 3, 5801, 24527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*a = 33*a - 334. Let v(y) be the first derivative of 1\/5*y - 8 - 1\/4*y**a - 1\/40*y**4 + 2\/15*y**3. Factor v(k).\nAnswer: -(k - 2)*(k - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3201 - 2012003011?\nAnswer: -2011333210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21346*q = -21408*q - 1302 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34092*h**3 - 17044*h**3 - 17049*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*w = 5 - 1, -4*v + 4*w = -20. What is the greatest common factor of 93 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68198 is divided by 537?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4596 - -5.3.\nAnswer: 4601.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((5850\/(-90))\/(-2600))\/(2\/(-10)*-3)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 836*t**4 + 1170 wrt t?\nAnswer: 3344*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22474*q**4*u + 25*q**2*u - 42717*q - 9*u wrt q?\nAnswer: -269688*q**2*u + 50*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -33012412113?\nAnswer: -33012412123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/15*((-228)\/(-54) - (-4)\/(-1))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1758 - 3261 + 1503 + 2*i**2. Let u(b) = 8*b**2 + 346. What is x(u(r))?\nAnswer: 128*r**4 + 11072*r**2 + 239432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, d: 1, v: 10, n: 1}. Give prob of picking 3 v and 1 d.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -35. Suppose n*p + 1 = -3, c + 5*p = -3. Find the second derivative of 170*q + c*q**5 - 166*q + 25*q**5 wrt q.\nAnswer: 540*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(1\/(-3) + (-2)\/3). Which is the closest to p? (a) -0.3 (b) 2\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.49, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-six fifths of a decade?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**3 - 2*d**2 - 3*d - 3. Let y be j(-2). Suppose -y*o = -21*o - 180. What is the remainder when o is divided by (-8)\/(2\/(2*-1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 + -77. Suppose -2*c - p*c + 23 = 5*o, 2*o = 6. Suppose -f + 120 = c*h, -2*f - 5*h + 0*h + 240 = 0. 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: What is the tens digit of 377904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350\/20*(-24)\/(-10) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/16524860 and -39\/28918505.\nAnswer: 115674020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -11. Let d = x - 26. Solve -5*t + d = 5*v, 4*t - 9 = -5*v + 2*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**4\/4 + a**3 - a - 1. Let l be w(2). Let q = 45 - 40. Solve q = -2*r - l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11996987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/63*-6 - 256\/(-14). Solve 6*b + 0 = -r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4 - 10*z**3 + 22*z**2 + 66*z + 36 = 0. Calculate z.\nAnswer: -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 4 = 9*s - 4*u, -4*u = 8. Suppose 3*a - a = -s*w + 260, 5*a = -3*w + 195. Factor 38*b**4 + 15 - 4*b**4 + 90*b**3 + b**4 + w*b + 5*b**5 + 110*b**2.\nAnswer: 5*(b + 1)**4*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -725 != -725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.71 times 25\nAnswer: 42.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(605)*-2)**2 + (2*sqrt(605)*6)**2) - (sqrt(605) + 5*(3*sqrt(605) + sqrt(605)) + 3 + sqrt(605) + sqrt(605) + -3).\nAnswer: -253*sqrt(5) + 580800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1511 divided by 5063.\nAnswer: -1511\/5063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43924171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/81 and -25\/33.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 151650, 151795, 152036, 152379, 152830, 153395, 154080, 154891?\n\"Answer: h**3 + 42*h**2 + 12*h + 151595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 0)*(5*r**3 - 2*r**3 - 12*r**3).\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028 is divided by 177?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -116\/4672395 and -35\/978.\nAnswer: 9344790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 7926.\nAnswer: -21\/2642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h*h**(-2\/73)*h)**11 assuming h is positive.\nAnswer: h**(-4037\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 11776 and -0.01.\nAnswer: 11775.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5 = -3*b - 1, 0 = -5*b - 3*s + 19. Suppose 0 = 5*f + 10, -f = -q + b*f + 6. Solve 4*i - 4*d = q, -4*i = d + 17 - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Let p be q*(-3 + 0)\/36. Let r = 1\/206 - -1027\/618. Which is the second biggest value? (a) p (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 19*z**2 + 14*z - 70. Let m be y(-18). Suppose -n + 5*n - 1530 = -t, -m*t = -3*n + 1153. What are the prime factors of n?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -10. Let d(h) = -5*h + 6. Let m(l) = -5*l + 6. Let i(n) = 6*d(n) - 5*m(n). Let o be i(-6). Calculate the greatest common factor of u and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2160?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7768 divided by 1\nAnswer: -7768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11*j**2 - 606*j + 95475. Let h(t) = -31*t**2 - 1820*t + 286426. Let g(l) = -6*h(l) + 17*q(l). Factor g(v).\nAnswer: -(v - 309)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*p + 8. Suppose -5*z + 4*s = 16 + 12, 0 = 4*z - 5*s + 26. Which is the smallest value? (a) p (b) 2\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029438 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(68) + sqrt(68)*2*6)*-1)\/(sqrt(4) + (sqrt(256) - sqrt(4))*-6 + (sqrt(576) - (sqrt(576) - (sqrt(576) - sqrt(576)*4)))).\nAnswer: -65*sqrt(17)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -419796192 and -14.1?\nAnswer: 419796177.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 67. Let m be g*(2 - 296\/20). Let u = m + 61. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h + 4. Let g be z(3). Let b be -1 + (0 - 8) + 5. Let i = b + g. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 64, 101, 152, 217, 296, 389?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52024 + -30285. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 16. Suppose -5*l = -7 - 3. Suppose 0 = -l*q + 4*o + 60, 0*q - 72 = -4*q - 4*o. What is the smallest common multiple of q and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30190291 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -10. Suppose -y + u - 3 = 0, 27 - 8 = 2*y + 3*u. Suppose -y*n - 8 = -6*n. Solve -f = -4*c + n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367 + 367 + 15240*s**2.\nAnswer: 15240*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/(1\/(-3)). Suppose -1 = 5*c - 6. Suppose c - 3 = -n. Are n and l equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 1\/40*c**5 + 0*c**3 - 1\/140*c**7 + 1\/224*c**8 + 0 + 2*c**2 + 0*c**4 + 0*c - 1\/80*c**6. Factor i(z).\nAnswer: 3*z**2*(z - 1)**2*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 129, 223, 393, 663?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 17, b: 3}. What is prob of picking 3 b?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 14*s**2 - 13*s - 3. Let w be p(-15). Let y = 33 + w. Suppose y = 12*c - 4*c - 1000. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -2)*(5 + 9). Suppose -4*w + r = -169, w + 2*r - 39 - 1 = 0. What is the highest common divisor of g and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491284.\nAnswer: 2, 263, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -885\/53 and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4)*(-8)\/6. Let h be 48\/4 - (-4)\/v. Solve -2*x + 4*i - 8 = 0, 4*i = -2*x - i + h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**4 + 4*q**4 + 0*q**4)*(-9*q - 12*q + 22*q).\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -112, -107, -98, -85, -68, -47, -22?\n\"Answer: 2*q**2 - q - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 1. Let y(f) = -6*f + 4. Let l(c) = 4*s(c) - y(c). Let a be l(5). Solve 3*q + 2 = a*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 4*n + 12. Suppose n*q = -b - 2*q + 20, 4*b + 5*q - 80 = 0. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 4. Let r = 1.5 - 5.5. What is the third biggest value in -1\/3, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 0 + 0 + (2 - 1 + 0)*(3 - 3 - 2*q**2) + q**2 - 2*q**2 + 3*q**2 + q**2 + 3*q**2 - 3*q**2 + (-2 - 2 + 3)*(3*q**2 + 0*q**2 - 4*q**2).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxr when three letters picked without replacement from {r: 2, x: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -20 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414 a factor of 6570057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**2 - 2400*j**2 - 3844*j**2 as t*j**2 + l + r*j and give t.\nAnswer: -6238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9766*y - 23094*y - 3020*y - 21877*y.\nAnswer: -38225*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**7\/2520 - o**6\/80 - o**5\/20 - o**4\/12 + 3*o**2. Let i(t) be the second derivative of j(t). Determine i(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 1\/11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 1453823\nAnswer: -1453823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14683 + 14683. Which is bigger: q or 1\/4071?\nAnswer: 1\/4071","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200020201020 - 10?\nAnswer: 200020201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/((-8)\/(-32))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3960 and 703340?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1437 - 1437.1. Is -1.39 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*s - 8*s + 32 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 244*f - 313. Let d be w(2). Calculate the highest common factor of 35 and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + 125 = 4*p, -7*p - 4*s = -5*p + 32 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 27. What is the lowest common multiple of 1 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*2)\/sqrt(3))\/(sqrt(9)\/sqrt(12)) + 2 + sqrt(55)\/(2*sqrt(5) + sqrt(5) - sqrt(5)) + -4.\nAnswer: -2 + 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 2:08 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llbdclllllbllclllll?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9097 - 9093. Which is the third biggest value? (a) -0.3 (b) 0.0326 (c) r (d) 5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - -205. Let z be c\/108*(-8)\/(-3). Solve -3*j = -z*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, 3, -2, -1 in decreasing order.\nAnswer: 118, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (529144\/2940 + -180)\/((-2)\/(-10))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-16)\/(-4)*3\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/28 and 32\/391.\nAnswer: 10948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:33 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12570671 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4885, 39149, 132151, 313261, 611849?\n\"Answer: 4895*j**3 - j**2 + 2*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(52))**2 + (sqrt(156)\/(sqrt(300) - sqrt(12) - sqrt(12)) - (-1 + sqrt(13) + -2)).\nAnswer: -2*sqrt(13)\/3 + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52220 - 0?\nAnswer: 52220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.7 - -27. Let i = q + -1.82. Round i to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*v - 8510, 14*v = 2*i + 9*v - 5671. List the prime factors of i.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2545, -2540, -2535, -2530, -2525?\nAnswer: -2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10*q**3 - 5*q. Let a(u) = 30*u**3 + 14*u. Determine 5*a(j) + 14*s(j).\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/225, 5, -0.2, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(900) - sqrt(900))\/sqrt(12) + (sqrt(96)\/sqrt(2)*-5*-2)**2.\nAnswer: 20*sqrt(3) + 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129 a factor of 717210991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 1, -152, -21 in decreasing order.\nAnswer: 5, 1, 0, -21, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -1019, -0.3, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 41\/8, 344\/3, -31, -2\/3, -3?\nAnswer: 41\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1094 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21271 - 3329. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1.23, 2, 0.3, 45, -3 in decreasing order.\nAnswer: 45, 2, 0.3, 2\/9, -1.23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105454*g + 52702*g + 52725*g.\nAnswer: -27*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 127*u**2. Let r(p) = 6787*p. Give r(g(l)).\nAnswer: 861949*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 34 (b) 1 (c) 2\/13 (d) -0.05 (e) 0.05 (f) 1\/2 (g) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45008 and 1450?\nAnswer: 1125200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/3 (b) -27 (c) -14 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182\/17*s - 180\/17 - 2\/17*s**2 = 0.\nAnswer: 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 52312940, 52312944, 52312948?\n\"Answer: 4*k + 52312936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 97*h**5\/5 + 2*h**3 - 3*h**2\/2 + 107. Find the third derivative of c(w) wrt w.\nAnswer: 2328*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20786 greater than 20787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 6*s - 13. Let c be w(6). Let y(l) = -2*l**3 - 20*l**2 + 18*l + 9. Let b be y(c). Suppose 8*k - 5*k = b. What are the prime factors of k?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 457, 922, 1387, 1852?\nAnswer: 2317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 245, 499, 759, 1025, 1297, 1575?\n\"Answer: 3*i**2 + 245*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 6. Let d be z(4). Suppose -d*c + 3 + 1 = 0. Suppose 0 = -2*a + c*n - 6, -5*n + 1 = -9. Which is smaller: a or -1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -19 - (-2394 - -2357).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49602 - 1091181\/22. Let i = -11127\/4 + 2763. What is the common denominator of i and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p - 3*p - 4 + 4 + 4*p.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3790364s?\nAnswer: 379036400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21788 (base 9) to base 8\nAnswer: -34242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 12 = -5*u, -4*u + 37 = i + 33 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -44 - 52 + m - 47*m**2 + 94 + 2*m. Determine h(1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2\/11 (b) 4 (c) -0.194 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -71*i - 30*i + 10*i + 353 - 9*i**2 + 7*i**2 wrt i?\nAnswer: -4*i - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11591194 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1165568167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 434452 and 408?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -10*j**2 + 40*j - 10. Let b(y) = -30*y**2 + 112*y - 28. Let h(p) = -5*b(p) + 14*k(p). Let d(g) = -59*g**2. What is h(d(v))?\nAnswer: 34810*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -61\/217, 146, -4?\nAnswer: -61\/217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/9 and -97\/13055490.\nAnswer: 13055490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -8. Put -0.5, 1, m in ascending order.\nAnswer: m, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 w, and 1 i when three letters picked without replacement from {w: 2, j: 3, i: 5}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1295 = -851*c - 5393 - 971 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 191\/4. Let x = -0.6 - -0.4. Let d = x + -0.2. What is the closest to 1 in d, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1404 and 23\/102.\nAnswer: 23868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4514009 or 4514004?\nAnswer: 4514004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*a - 3 = -218*a + 3*f, 4*f = 4*a + 12 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 861 - 868 - (-1 + (6 - 0)) - -31?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 65, -1850, -7727, -19540, -39263, -68870?\n\"Answer: -329*n**3 - 7*n**2 + 409*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*a - 182 = 331*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9724026, -9724013, -9724002, -9723993, -9723986, -9723981?\nAnswer: -9723978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -8. Let l be 4 - (5 - (-2 - (-1 - 3))). Let z = 10 + -8. Put l, 1\/3, z, i in descending order.\nAnswer: z, l, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110001110 (base 2) in base 11?\nAnswer: -758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -31*d. Let a(w) = -8*w. Determine a(l(u)).\nAnswer: 248*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 50119, 100241, 150347, 200431, 250487, 300509, 350491?\n\"Answer: -t**3 - 2*t**2 + 50135*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 - 37*s + 78. What is the smallest common multiple of 93 and i(2)?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and -7.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + (-2 + 1 + sqrt(833) - sqrt(833)))**2.\nAnswer: -14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 10 (b) 4.4 (c) 2\/9 (d) 0.5 (e) 823 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 242580787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184 - 108. Suppose -o = -14*c + 13*c. Suppose c = l - 5*g, 92 = l - g + 12. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110593 = 2702*p + 3017*p - 1292*p - 110757 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 987642 to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*y - 9, 5*y - 2*u = -0*y + 16. Let j(d) = 3*d - 2 - 5*d**3 + 6*d**3 + 3*d**3 - 4*d**2. Is j(y) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4090 - x + 2036 + 1998 - 37*x**2 to the form a*x + r + n*x**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -22. Suppose -18 = -y - 5*b, 0*b - 27 = -2*y - b. Let q = i + y. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(11)*2 - ((sqrt(11) + 2 - sqrt(11))**2 + 3).\nAnswer: -6 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 27*q**2 - 53.\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 268\/201 + 13\/15. Suppose -q + 2 + 3 = 0, 0 = 2*s - 3*q + 21. Let f = s - -5. Which is greater: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14447 is divided by 299?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16920442 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6f1 (base 16) to base 11.\nAnswer: -1376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 3*s**2 + 5*s + 4. Let c be b(-4). Let w(f) = f**2 - 6*f + 6. Let l be w(c). Solve 0 = -17*j + 20*j + l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/210)\/((-61)\/((-10248)\/144)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t**2 - 6*t - 4*t**2 + 10*t)*(2*t + 8*t - 6*t) + (-2*t + 2*t - t**3)*(-2 + 1 + 2) to the form u + j*t**2 + d*t + f*t**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -10. Let n = 2 + u. Suppose 4*t = -n*t + 32. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 7*l + 6. Let x be n(-6). Suppose x = -4*d + d - 72. Let k be (8\/d)\/(1\/6). Which is the second biggest value? (a) 3\/4 (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 13*o + 16. Let d be w(14). Suppose d*c - 4*v + 2*v = 70, 0 = -c - 4*v + 30. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/728 - 58\/203. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 22. Suppose 2*y + j = 23. Solve 0 = -2*a + 6*a + y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.24145 centuries to months.\nAnswer: 29089.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 10134.83g?\nAnswer: 10.13483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 1. Suppose -2*c - 7 = -1. Let j(p) = -6*p**2 - 9*p - 3. Let u(r) = c*y(r) - j(r). What is the second derivative of u(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 = -0*w. Suppose -2*o = -8*o + 252. Suppose -82 = -10*m - o. Solve 5*f + 5*r = w, f = -m*r + 9 + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**5 - 5*w**4 + 5*w**3 + 5*w**2.\nAnswer: -5*w**2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -206*c - 157. Let m(f) = -2*f + 2. Let t(n) = -3*m(n) - v(n). What is the first derivative of t(u) wrt u?\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:40 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 1763?\nAnswer: -1763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1111333 (base 4) to base 10\nAnswer: 5503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (68\/51)\/((-8)\/(-438)) is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 305 = -3*a - 206 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + 10 - 4 - (-53 + 128)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8424 - -12088. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.7592*423\nAnswer: -5397.1416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1)*m*m*m*m)**(3\/5)*(m**2)**(1\/22))**(-4\/9) assuming m is positive.\nAnswer: m**(-548\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514.0975ml to litres.\nAnswer: 0.5140975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -353?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 4*n + 16 = -8*q, -n = -3*q + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 632 = 3*d. Suppose 27 = 5*c - d. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19064 + -36519.\nAnswer: -55583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 186 = -20*v. Suppose -7*l - 3 = -v. Suppose 0 = -l*q + 350 + 506. List the prime factors of q.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((-496)\/(-124))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 116*q - 101*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 233980*l**2 - 6*l - 6900 wrt l.\nAnswer: 467960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 6. Let v(u) = u**3 - 51*u**2 - 12. Give 6*m(k) - 3*v(k).\nAnswer: -3*k**3 + 147*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*h - 3909 + 1063 = 0, -i + 734 = 4*h. Suppose 5*x - i - 1261 = 0. Is x 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 {s: 12, y: 2, f: 3}. Give prob of sequence fs.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(11)*-1 + 5 + (sqrt(11) + sqrt(110)\/(sqrt(10) - (sqrt(250) + sqrt(10))))*1)**2.\nAnswer: 48*sqrt(11) + 6961\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t + 11. Let h(f) = f - 2. Let d(b) = 11*h(b) + 2*k(b). Give d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*5\/(-30))\/((-3)\/6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1002058.\nAnswer: 2\/501029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + 32 + 16 - 85 + 2 to the form y*k + q and give q.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12428297851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20320321.\nAnswer: 7, 17, 170759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-1 - (-13)\/15). Let v = z + 1\/5. Find g such that 1\/3*g**2 + v - 2\/3*g = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3780)\/225)\/28*-40.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + d - 45 + 43, 8 = 3*t + 4*d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 722832198 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 + 737*u\/3 + 17088.\nAnswer: -(u - 801)*(u + 64)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 224 + -219. Suppose -n*w + g + 4224 = -5968, -4*w + 8168 = 4*g. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002839162 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/36*-3*(-2 - 1). Let x be ((-1)\/g)\/(((-20)\/32)\/(-5)). Does 0.8 = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 12*q**2. Let d(i) = i**2 + 2*i - 2. Let g be d(2). Let h = 8 - g. Let f(a) = 3*a**2 - h*a**2 - 2 + 2. What is f(t(w))?\nAnswer: 144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9814.\nAnswer: 2, 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36395 + 35920.9216. Let j = x - -475. Let y = j + -0.9. What is y rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29360.894 + -29390. Let w = 0.106 + u. Is w >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - i**2 - 2*i + 11. Let m be j(0). Suppose -3 = -m*b + 8*b. Let t = 203.978 - 204. Are b and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 43. Suppose 3*b + 5*g - 12115 = v, b - 4045 = -0*b - 3*g. Round b to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -812694, -812691, -812688, -812685, -812682?\nAnswer: -812679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4118 + -4101. Solve 4*z = -s + 3*s - 14, 5*z = 3*s - a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.37 in 1\/4, 4, 3.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63724592.\nAnswer: 2, 31, 128477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - 28)*(2 + -3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102814 + -3805868\/37. Let l = r - -44671\/1036. Find the common denominator of 9\/4 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a gram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 41568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3\/8))\/(r**(5\/6)*r))**(-22\/3) assuming r is positive.\nAnswer: r**(319\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636611755?\nAnswer: 5, 13, 433, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*h - 18*h - 117*v + 697 + 118 = -120*v, 100 = -5*h + 5*v for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 9*t**2 + 9*t + 13. Let g be r(10). Suppose -2*m - 2*u = -20, -2*m + u + 8 + g = 0. Suppose m = -w - 6. Do w and -13 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - -13102321201?\nAnswer: 13102321231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256020 divided by 4.\nAnswer: 64005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4005, -2425, -845, 735?\nAnswer: 2315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**7\/105 - 19*i**6\/60 + 31*i**5\/30 + 17*i**4\/4 - 2*i**2 + 43*i - 1. Factor j(x).\nAnswer: 2*x*(x - 17)*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4439 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 11*l**2 - 11*l + 4. Calculate the remainder when c(12) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + 0. Suppose 0 = -d - 4*n + 18, 3*n + 7 = -2*d + 33. Let w = a - d. Calculate the remainder when 19 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 10. Let u be b(-8). Sort 9, u, 4 in descending order.\nAnswer: 9, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 + -123. Suppose -122 = -5*b - 3*z, 4*b + 49 - 149 = -k*z. Solve -4*f + 30 = -5*o, o + 0*f = 4*f - b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 1314, 0.07, 3, -4, -32?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14892 is divided by 244?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 93873 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 123 - 260 + 137 - 2*n - 9*n**2. Let g = -18 + 16. Determine f(g).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -17*n + 89. Is w(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2247 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 31, 8, 0, -4.\nAnswer: -4, -3, 0, 8, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -22) + (-58)\/(-8)*16\/(-20).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 424. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1358 and 37829796.\nAnswer: 37828438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-12) - (-2)\/12. Suppose 3 - 2 = i. Let z = i - v. What is the remainder when 1 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(10) + (sqrt(10)*2 + sqrt(10))*-4) - (1 + sqrt(1088) - sqrt(1088))*4.\nAnswer: -4 - sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**9\/1512 - z**7\/140 - z**6\/90 - z**3\/2 - z. Let j(p) be the second derivative of q(p). Solve j(a) = 0 for a.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*t = 549*t + 2*p - 1036, 163*t - 8 - 17 = 160*t - 2*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**5\/60 + 3*z**4\/8 + 17*z**3\/6 - 39*z**2 + 4*z. Give p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bf992 + -9?\nAnswer: bf989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233470739 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + (sqrt(108) + 3)**2 + 1.\nAnswer: 42*sqrt(3) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0, 2\/11, 4.\nAnswer: 0, 2\/11, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 5*y + 4. Suppose 0 = -v + 2*v - m - 1, -5*v - 5*m + 35 = 0. Give u(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-1)*(-26)\/5967*-17.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*y - 6 = -3*u, y + 3 = -3*u. Suppose -4*g + 38 = -g - 4*i, u = -5*g + i + 35. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 2 - (8 - 2 - 8). Solve 2*t - i*s + 14 = 0, 2*s - 4 = -t - t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12166 - -0.2.\nAnswer: 12166.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 349*1\/(-3)*(-5 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3658, 7412, 11190, 14992, 18818, 22668?\n\"Answer: 12*r**2 + 3718*r - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16916435*g + 1874212 wrt g?\nAnswer: -16916435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14811 + 207461\/14. Find the common denominator of 31\/7 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 - 8*u + 59. Let m be s(-11). Let v be -5 + ((-1)\/(-2))\/(17\/m). Solve v = -7*h + 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 - -100?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/5*(-55)\/(-22)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2088.33 to the nearest ten.\nAnswer: -2090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2468664 and 660528?\nAnswer: 686288592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (-6*sqrt(85)*-1 + sqrt(85))) + sqrt(85))\/(sqrt(55)\/sqrt(44)).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0030787078 to five dps.\nAnswer: -0.00308","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Convert -164405 (base 8) to base 10.\nAnswer: -59653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 - 18 = -2*r. Let p be 9\/2*r\/(-9). Solve -4*k = -0*k - p, -c + 5*k = 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c2 - 7c9?\nAnswer: -707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 + 39*j - 19. Let r be u(16). Which is smaller: r or -166?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d**(7\/2)))\/d*d*d**(1\/2))**(1\/3)*(d**1*d)**38*(d\/(d**(1\/4)*d*d))**(-18) assuming d is positive.\nAnswer: d**(587\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3278760 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: Solve 4*i + 19 = -3*s - 8, -4*i + 3*s = -3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(2 - 22\/8)*4. Calculate the greatest common divisor of 93 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-9 + -5 - -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h = 27*h - 72. Suppose -5*j = -25 + 5. Calculate the smallest common multiple of h and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 - 18162 - f**2 + f**2 - 18162 + 36324.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0*s + 15. Suppose 3*l = 0, -p + 36 = -s*l - 2*l. What is the greatest common factor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2. Let v(y) = 652982838*y. Give t(v(s)).\nAnswer: -426386586722534244*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 5, -10\/117081, 1.3?\nAnswer: -10\/117081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t**5 - 639*t**4\/4 - 487*t**3 + 57*t**2\/2 + 500*t + 525\/4 = 0.\nAnswer: -7, -5, -1, -15\/52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, c: 3}. What is prob of picking 1 c and 3 l?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 13*z - 413. Let v be h(32). Solve 0 = 19*r + v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1207 + -1119. Suppose 0*n + 4*n = 44. What is the greatest common divisor of n and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 170*u - 19411. Determine g(114).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5 = -2*c, -25 = 5*q + 128*c - 130*c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/7 - 182286*v**2\/7 + 593347440*v + 4153614368\/7 = 0 for v.\nAnswer: -1, 45572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*r - 118*r - 10 = 0. Let y(k) = -k**3 + k + 1. Let g(o) = -o**3 + o - 1. What is r*y(d) - g(d)?\nAnswer: 2*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 97332493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.9 + -0.5. Let z = -2 - -7. Let q = z - x. Which is the nearest to -0.1? (a) 2 (b) 2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(-2*x**2 + 0*x**2 + 6*x**2)*(-832*x + 63*x**3 + 832*x).\nAnswer: 756*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 3)*((-64)\/36)\/8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -43. Let t = n - -45. What is the nearest to -0.7 in -0.2, 2\/17, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 400691451?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*13\/(-6)*10. Let a = i + 42. What is the units digit of 2\/(-7) + a\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*d**2 + 33442*d**4 - 33767*d**4 - 2*d**2 - 7*d wrt d.\nAnswer: -7800*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 446*v + 3425*v + 1852*v + 664*v + 193*v in the form f*v + w and give f.\nAnswer: 6580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037975 to five dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -3 + -1*sqrt(275) + 1 + 4)*-1)**2 + -1.\nAnswer: -60*sqrt(11) + 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -14*n - 58 - 65 + 187 - 64. Let v(x) = 174*x**2. What is r(v(d))?\nAnswer: -2436*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 27 = 3*d. Let x be 12\/27 + (-2)\/d. Suppose 2\/9 - 2\/9*v + x*v**3 - 2\/9*v**2 = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 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: What is the derivative of -343*h*s**3 - h*s**2 - 383*s**3 wrt h?\nAnswer: -343*s**3 - s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -133044?\nAnswer: -133040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 6:15 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -23423110?\nAnswer: 23423102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10338, -20645, -30952, -41259, -51566?\n\"Answer: -10307*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(612) + 0 + -2)**2 + (-5 + 1*((sqrt(612) + 0 - sqrt(612)) + 5))**2.\nAnswer: -84*sqrt(17) + 661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/p)**(14\/5)*(p**1)**(-23)*(p**(-2\/7))**(-2\/35)\/(p**2\/(p\/p**(-1))) assuming p is positive.\nAnswer: p**(-7003\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*j + 2*m + 228, 12 = 3*m. What is the remainder when 2512\/j - 6\/(-45) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2923641?\nAnswer: 3, 7, 31, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(sqrt(1331) - (sqrt(1331)*1 + 4))**2 - (-4 + -3*(-2 + sqrt(1331)*-1)))*1.\nAnswer: -33*sqrt(11) + 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1890 and 1149880410?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10233 - -2?\nAnswer: -10231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4685 + -4087. What is the greatest common factor of d and 364?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*u = 105*u + 126. Calculate the remainder when 164 is divided by u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*c**2*w**2 - 7*c**2*w - 129096*c*w**2 - 4*w + 43347 wrt w?\nAnswer: -94*c**2 - 258192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001111 + 10012220?\nAnswer: 2011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*q + 415*q + 107*q**2 - 67*q**2.\nAnswer: 40*q**2 + 556*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3117763*h**3 - 2*h**2 - 320*h - 7399 wrt h?\nAnswer: 18706578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 17385*u - 17382.\nAnswer: -3*(u + 1)*(u + 5794)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 44*l**2 + 35*l**2 + 10*l**2 + 3*l**3. Let q(b) = -5*b**3 - 2*b**2 - 6*b. Let x(z) = q(z) + 2*s(z). Factor x(t).\nAnswer: t*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from bztwmtbm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293 + 1 - 342 = -317*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9551025\/5967)\/25 + 1\/(-39)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**3 - 8*s**2 + 4*s + 37. Give l(-7).\nAnswer: -1412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10438016, 20876034, 31314052?\n\"Answer: 10438018*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/77 and -3394 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 + 419*d**2 + 692*d + 405. Give t(-138).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 21*m - 25 - m**3 - 25*m**2 - 13*m. Let n(t) = -t**3 + 13*t**2 - 35*t + 119. Let z be n(11). What are the prime factors of u(z)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9674, 0, -10, 5, 1, 22, 3 in increasing order.\nAnswer: -10, 0, 1, 3, 5, 22, 9674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23995*l**2*u**2 - 37*l**2 + 10*l*u**2 + 5*l + 138 wrt u?\nAnswer: 47990*l**2*u + 20*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 8. Let v be k(-5). Suppose -4 = 5*h - 3*c - 5, 11 = h + v*c. Solve -h*o + 5*q + 35 = 0, o - 15 = -0*q + 2*q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352836*s - 352882*s = -1886 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6946\/5 - 1384. What is the common denominator of ((-3)\/6)\/(10\/(-36)) and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 57?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*p + 604*p - 10*c = 32, -p = -2*c - 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t**2 - 14*t + 2. Give w(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153389 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 16, g: 2}. Give prob of sequence pppp.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 4. Let y = r - 23. Which is greater: -1\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -1\/2*m**3 + 0 - 3\/2*m - 2*m**2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.93 + 1.8. Let i = 4.924 + 0.206. Let y = x + i. Do y and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, h: 3}. Give prob of picking 1 h and 2 j.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c. Suppose -2*g - t + 35001 = -g, -5*g + 175001 = t. Suppose c = 2*y - y - g. Round y to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v. Let t(q) = -3*q - 28. Let i be t(-10). Let w(z) = z**i - 3 + 1 + 2. Give k(w(y)).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6. Let g be 6\/4*(32\/360 - y). What is the closest to 0 in 1\/2, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -b + 4, -1799*b - 38 = -1795*b - 2*u for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let m = 0 + y. Let t = -134 - -135. What is the remainder when m is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f. Suppose -6*c + 2*c + 36 = f. Solve -j = 7*l - 3*l - c, -3*j - 24 = -5*l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -180 + 214. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30627731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9*j = -t + 17, -2*j = 4*t - 14. Suppose 0 = -4*u + 5*u - j. Find the third derivative of -6*n**4 - u*n**2 + 2*n**2 + n**4 wrt n.\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -72, -82, -98, -120, -148?\n\"Answer: -3*x**2 - x - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21526340?\nAnswer: 2, 5, 11, 97847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 7 + -46 + -8 + -5 + 14.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + d**3 + 0*d**3 + (2*d**2 + 0*d**2 - 4*d**2)*(4 - 3*d - 4) + (4*d + 3*d**2 - 4*d)*(19 + 13*d - 19).\nAnswer: 47*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 2:24 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnylgllyylggnllgnn. Give prob of sequence lgly.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3 - 19647*u**2 + 42889401*u - 31209187461 = 0. What is u?\nAnswer: 2183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77024*x**3 + 77148*x**3 + 39*x**4 - 3*x**2 - x - 36*x**4 to z*x**3 + n*x**2 + r + c*x**4 + w*x and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05697558769 rounded to four decimal places?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = -2*q - 576, q + 5 = 0. Let h be (-14)\/(-21) - 946\/6. Let s = h - u. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6331658503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u + 84. Let m(v) = -3*v + 246. Let f(t) = -5*t + 451. Let a(p) = -6*f(p) + 11*m(p). What is j(a(s))?\nAnswer: 12*s + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 1. Let u(g) = 1709*g - 676*g - 2 - 352*g - 679*g. Suppose 5*o - 5*z - 45 = -0*o, -3*o + 17 = -z. Give o*u(a) - 6*r(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -15 + 12 + -2 + 18 + -25?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 5*g - g)*(-2*g**3 - 3*g**3 + 3*g**3) + 15*g**4 + 2*g**4 - 5*g**4 + 246*g**4 - 151 + 151 as o*g + h*g**4 + a + r*g**2 + x*g**3 and give h.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1684 + 9*h**3 + 1669 - h**3 + 337*h**2.\nAnswer: 8*h**3 + 337*h**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+207392602\nAnswer: 207392601.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(((-1 - 3) + 3)*-1). Let i(z) = -3*z - 6. Let h(l) = -l - 1. Give m*h(r) + i(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (-39 - -60) + -22?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 0*m = 45. Let i(l) = -l**2 - l + 174. Let s be i(0). Let n = s - 873\/5. Which is the third biggest value? (a) n (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = r - 7. Let z(o) = -1 + 3*o - 5*o - r*o + 2*o**2 + 3*o. What is the units digit of z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*-5*48\/(-60))\/(((-6)\/1)\/(-12)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26419296 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.03*-280.8.\nAnswer: 2535.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - (3 + -1)) + -452 + 445.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.346772 less than -0.4?\nAnswer: -0.053228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b + 1. Let i(s) = -s. Determine i(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 246239163?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0306326 - 677868.\nAnswer: -677867.9693674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2592*i + 60990 = 987*i for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 85*g**2 + 989*g + 19. What is b(-52)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let c be 6\/(-9) - (-152)\/(-6). Let j(h) = 10*h + 9. Let q(s) = -12*s - 12. Let w(n) = 4*j(n) + 3*q(n). Determine c*v(z) + 6*w(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 6:11 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -11, 2391, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 + (-163 - -167 - ((3 - -2) + 3))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a + 252 = 5*j, 98 = 2*j - 4*a. Calculate the remainder when 202 is divided by j.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 12*c**3 + 5*c**2 - 5*c + 5. Let s(u) = 6*u**3 + 3*u**2 - 3*u + 2. Let a(o) = 3*m(o) - 5*s(o). What is the derivative of a(n) wrt n?\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 50 = -p - 4*p, 0 = 3*z - 4*p + 106. Let g be 105\/z + 15\/10. Which is the closest to -2? (a) 1 (b) g (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*p**2 + 1253*p - 1123*p - 11*p**2)*(0*p + 4*p - 15*p) to s*p + m*p**2 + r*p**3 + g and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23011133 to the power of 1\/3, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 18*v**2 - 25*v + 169. What is the tens digit of s(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h - 41*h = -45. Solve -9*w - h = -12*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-135.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (-5)\/3)*-9. Solve a = -2*z - 3*t + 2*t, 0 = 3*z + 2*t + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(6\/(6\/(-3))). Suppose -s - 97 = -99. Solve 5*p = 3*x, -s*x - 1 = -3*p - z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 0*l**3 - 1 + 0*l**4 + 0*l - 4\/3*l**6 + 0*l**5 + 7\/2*l**2. Find the second derivative of i(k) wrt k.\nAnswer: -160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*i - 22, 0 = -i - 0*i - 2*a + 16. Let b be 0\/(3\/(i\/4)). Suppose b = 5*j - 77 - 183. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-2) - (-3)\/(-6). Suppose -19 = 5*b - 79. Calculate the remainder when b is divided by ((-1)\/r)\/((-2)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9408*k**5 - 60634896*k**4 - 240485613*k**3 - 234041991*k**2 + 8590080*k - 77388 = 0. What is k?\nAnswer: -2, 1\/56, 6449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1222 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 12:26 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -2*o + 20 + 0*o**4 + 29\/2*o**3 + o**2 + 4\/5*o**5. What is the second derivative of g(c) wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*z - 50, 3*z + 23 + 12 = 2*s. Calculate the least common multiple of 22 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1396371558 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p + 18*p - 6 - 10*p - 13*p. Let i(t) = -22*t**2 + 7*t - 28. Let g(z) = -15*z**2 + 5*z - 20. Let q(h) = -7*g(h) + 5*i(h). Calculate q(n(l)).\nAnswer: -405*l**2 - 540*l - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 + u**2 - u. Let i(f) = -28*f**3 + 7*f**2 - 7*f + 1. Determine i(j) - 6*p(j).\nAnswer: -16*j**3 + j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 20065*f + 492. Is g(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**2 + 164*y**2 + 6*y**2.\nAnswer: 181*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1454, -1455, -1456, -1457, -1458?\n\"Answer: -h - 1453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 467\/636?\nAnswer: 467\/636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 198171 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/2539 - 352909\/15234. Let c = -3036 - -337001\/111. Let u = -3541\/2220 + c. Find the common denominator of m and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -7. Solve 5 = -x*m - 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z - 12 = 0. What is the units digit of ((-30)\/4)\/((-3)\/z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459523507 to the power of 1\/4, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0090702475 rounded to 4 dps?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8 + 119\/(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -551 (base 9) to base 3.\nAnswer: -121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -558, -1548, -1, 3 in increasing order.\nAnswer: -1548, -558, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 = 15, 0 = -4*l + 4*z + 20. Let b be ((-1)\/5)\/(0 - -1). Let v = 2\/5 + b. Is v < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/17 + (-21 - 18970\/(-595))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 281*u**2 + 52*u - 50. Calculate the remainder when o(1) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238098 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -2 (c) -1 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -1\/27*k**6 + 1\/9*k**4 + 0*k - 6 + 0*k**5 + 0*k**3 - 1\/9*k**2. Factor g(j).\nAnswer: -2*j*(j - 1)**2*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/14651 and 77\/46?\nAnswer: 29302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {h: 2, x: 1, u: 1, p: 1, d: 1, j: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8331408l to millilitres.\nAnswer: 833.1408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.6318525 + -0.23?\nAnswer: 10.4018525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/((-96)\/56 + (-4)\/14). Suppose 8*j - 3 - t = 0. Suppose 2*m = 4*q - 668, -4*m + 133 = j*q - 201. Is q a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27690*u**3*v**3 + 18*u**3*v**2 - 2*u*v**3 - 71*u*v**2 - 3*u*v + 2*v wrt u?\nAnswer: 166140*u*v**3 + 108*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 1*-4 - 0. Let g(u) = 18*u**3 + 2*u**2 - 2*u + 1. Let l be g(1). Let k = 18 - l. Sort 1, z, k in ascending order.\nAnswer: z, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*w - 1063 - 1945. What are the prime factors of w?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3057, -3055, -3053?\nAnswer: -3051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-116)\/36 + 0)\/3 and (-480)\/1120 - 839\/(-210).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b. Let k = -5 - -18. Let i = -77 - -75. Let p be k\/i + (-2)\/(-4). What is g(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157078 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - -22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -5, 2.\nAnswer: -5, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:20 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*z = 37*z + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + -2 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyyt when four letters picked without replacement from oytyyoytt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = -3*v. Suppose -3*k + v*k = -3. Let q = k - -10. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + j - 1 = 0, 36 = 58*y - 54*y + 4*j. Let q = 14 - 8. Which is the nearest to q? (a) y (b) 0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 192116435*r + 253739900 wrt r.\nAnswer: 192116435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4124)\/12*(-1740)\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(21\/4))**(12\/7) assuming t is positive.\nAnswer: t**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 + -106. Suppose -3*m + 13123 = -a, 5*m + 13111 = 8*m + q*a. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3568*o + 23 = 2*j + j - 2*j + 3569*o, 16*j = 5*o - 94 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*x = -1, 2*j + 29*x = 33*x - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 3:00 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.1 (b) 1\/5 (c) -249 (d) -6.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(210\/(-75))*6\/(-2)*2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 13*v = 315. Let n = v - 1. Calculate the common denominator of n and 39\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 869793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -46503264.\nAnswer: 186013056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b + 99. Give i(-33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3005, -3033, -3099, -3221, -3417?\nAnswer: -3705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b = 0. Suppose 2*q = -3*r + 3, 3*q = -2*r - b*q + 2. What is the derivative of -5*j**2 + 6*j**2 + j**2 - r + 0 wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*d - 80 = 0, -3*x - 2*d + 106 = 2*x. Suppose x = 3*w + o, 37 = 5*w + o - 1. Calculate the highest common divisor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 9 = 5*u, -2*u - 6*a + 5*a = 3. Let g(n) be the first derivative of -1 + 5\/2*n**2 + u*n. Let i(z) = -z. Give i(g(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 473.4 + -473.7. Put -0.6, b, -7 in descending order.\nAnswer: b, -0.6, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/3597750 and -44\/1845.\nAnswer: 3597750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2627770*o**6 + 19*o**4 - 133834140*o**2?\nAnswer: 315332400*o**3 + 456*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191353, -382666, -573897, -765004, -955945, -1146678, -1337161, -1527352?\nAnswer: -1717209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6702293083?\nAnswer: 41, 43, 607, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f**(-1)*f)*f)\/f))**(-3\/4)\/(f**3*f*f**(2\/9)) assuming f is positive.\nAnswer: f**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**5\/30 - p**4\/8 - 4*p**2. Give a(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -688, -4 in ascending order.\nAnswer: -688, -12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**3 - 2 + 9*p**2 - 3*p - 5 - 1 - 4*p**3. Let g be i(-9). Let t = 64 + g. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 49*n**3 + 19*n**2 - 38*n - 360. Let j be g(-34). Round j to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*g - 124*g. Suppose 0*l = 3*l - 36. Solve g = 3*h - l + 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 - -70. Solve 3*i - 18 = -3*r, 2*r - r - 8 = -o*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**6\/120 + t**5\/3 + t**3 - 48*t**2. Let u be d(20). What are the prime factors of ((-60)\/u)\/(-1 - 17\/(-19))?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*m**3 - 1 - 58*m**3 - 2 to d*m**3 + v*m + x*m**2 + u and give d.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 438975 plus 5.6?\nAnswer: 438980.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 11*q + 7. Calculate the remainder when a(3) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149842 is divided by 21406.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 496190.3 nanometers?\nAnswer: 0.04961903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126 - -128. Let y(i) be the third derivative of 0 + 0*i + 0*i**3 + 1\/30*i**5 - 5*i**f + 0*i**4 + 1\/24*i**6. Find the third derivative of y(d) wrt d.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3, -3*f + 3*c = 6*c + 114. Let q = 42 - f. Let m = -86 + q. Sort -1, -2, m in increasing order.\nAnswer: m, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/32)\/((-9)\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2. Let k(r) = -37*r. What is k(n(w))?\nAnswer: -74*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -928*q**2 + 80369 + 964*q**2 - 80369.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fddd when four letters picked without replacement from ffdfddfdfddd.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 379065360.244+-0.2\nAnswer: 379065360.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/57342 and -70\/25593.\nAnswer: 25746558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/11155 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -1. Suppose -491 = 38*g - 118*g - 11. Is 117\/13*x\/g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 + 5 = -31*h. Suppose t - 24 = -4*z - 9, -h*z - 5*t + 3 = 0. Solve -4*b = 5*a + 16, z*b - a - 4*a = 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -401 - -404. Find the third derivative of 2701*z**2 + 36*z**j - 217*z + z**5 - 1352*z**2 - 1351*z**2 wrt z.\nAnswer: 60*z**2 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 775 by 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = p - 4*u - 10, -2*u + 2 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 628*f + 626.\nAnswer: 2*(f - 313)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbbhlhhbbb. Give prob of picking 1 l and 1 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a. Let b(i) = 4*i + 6581. Determine b(g(w)).\nAnswer: -4*w + 6581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 97, 218, 341, 466, 593, 722?\n\"Answer: q**2 + 118*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -14*i - 20 + 10*i**2 - 12*i**2 - 8*i**2 - i**3. Let v be b(-9). Solve -3*a + 5*k - v = 0, -4*a - 1 = 3*k + 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(-18) + 1 + 2 + 2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g - 408788 = 102772. What is g rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**4 - 18*p**3 + 596*p**2 - 1160*p - 9172. Let n(k) = -k**4 + k**3 + k**2 - 2*k + 11. Let x(l) = -4*n(l) + w(l). Factor x(f).\nAnswer: -2*(f - 8)**2*(f + 3)*(f + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b = 140. Let j = -23 + b. What is the remainder when 43 is divided by (-4)\/j + 0 + (-34)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/50 - 891\/(-110). Solve -j*l + 56 = -0*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (520*a**3 - 12*a**2 + 3*a + 13*a**2 - 548*a**3)*(2*a - 2 + 2) as x*a**4 + h*a**3 + q + z*a**2 + l*a and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.444 - -0.331. Let h = 0.225 + w. Which is the fourth biggest value? (a) h (b) -0.4 (c) 0.1 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:43 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**5 + 12517*m**4 + 115473*m**3 + 102902*m**2 - 180976*m - 49920 = 0?\nAnswer: -3120, -8, -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**6\/24 + 67*z**3\/6 - 5*z**2 - 73. Let s(o) be the second derivative of q(o). What is the first derivative of s(p) wrt p?\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j + 0*j**2 + 7*j**2 - 6*j**2 + 9. Let h be q(4). What is the second derivative of 6*b + 0*b**5 + 4*b**h + 6*b**5 - 12*b wrt b?\nAnswer: 200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61 - 60)*(-3)\/(9\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*n - 11*n - 6*n + 9*n**2)*(0 - 2 + 0 + 2 - 2 - 1 + (5 - 2 - 4)*(5 - 1 - 5) + 17 - 3 + 30) to the form r*n**2 + g*n + b and give g.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 992 - 1731. Let n = c + 893. List the prime factors of n.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2929946 and -2929897 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j**3*w**2 + 353717*j**3*w - j**3 + 3*j**2*w - 2*j*w**2 + 21*j*w - 4*j - 3572*w**2 wrt j.\nAnswer: -30*w**2 + 2122302*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 + 4042933*g**2\/4 - 1010733*g.\nAnswer: -g*(g - 4042932)*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/3367 or 0?\nAnswer: 10\/3367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2. Let m(n) be the first derivative of 7*n**6\/360 - 31*n**3\/3 - 33. Let r(h) be the third derivative of m(h). What is b(r(t))?\nAnswer: -98*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2368 divided by -4\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in 0.2, 1.38, 0.0093?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -800660 divided by -9310.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4541903271.2129999 - 4541931502.32. Let n = -28229.107 - h. Let x = n - 2. What is x rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 2, 1 - 5 = 2*w - 3*z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 - -107. Suppose j + 4*q - 4 = 2*q, -4*j + 4 = -4*q. Let g(h) = h**j + 23 - 26 - 9*h + 0*h. Give g(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (1 - -785))*2\/10. Suppose -p + 151 = -2*c. Solve 0 = -4*v - c*q - 19, -4*q - 11 = 2*v - q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.065669 to three dps.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-4)\/(-18)*(-351)\/4914.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55471 + 55479. Let h = -18 + 46. Calculate the remainder when h is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 157259 = -2*n - 0*d - 157325, 9*n = -2*d + 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/120 - s**5\/12 + 7*s**4\/24 - 5*s**3\/6 - 26*s**2. Give m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2981*i + i**2 + 6922*i + 13*i**2 - 3941*i.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1283 or 2\/5?\nAnswer: 1283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 10920.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2380 - -3433. Calculate the greatest common factor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, n: 1, t: 4, l: 1, p: 4}. What is prob of sequence yp?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -45. Calculate the greatest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 2*j + k, 0 = 2*j - k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10530259, -21060527, -31590799, -42121075, -52651355?\nAnswer: -63181639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + 2.3. Let d = -3 + 2.6. What is the smallest value in f, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**3 - 5*l**3 + l + 2*l**3 + (-261*l**3 + 942*l**3 - 466*l**3)*(-1 + 2 - 2) to q*l**2 + m*l + s*l**3 + f and give s.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/21 + 1 + 139604\/28. Let m = 3676 + d. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -139*b - 14. Let p(x) = -138*x - 10. What is 3*p(y) - 2*w(y)?\nAnswer: -136*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31815313683361*w**2 + 65*w**3 - 31815313683361*w**2.\nAnswer: 65*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = 3. Suppose -4*z + 21 = m + 1, -d*z + 15 = 0. Suppose -4*c = -m*c - 212. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 1, c: 4, d: 1, s: 1}. What is prob of picking 1 c and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 4 = -2*y - 2*d, -8 = 4*d. Calculate the common denominator of 4\/120*y - 2 and -103\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -392*l**3 + 12*l**2 + 645. Let a(s) = 392*s**3 - 16*s**2 - 645. Let d(m) = -3*a(m) - 4*j(m). What is the derivative of d(p) wrt p?\nAnswer: 1176*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/(-155)*2*(-2)\/8.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122002200100200 - 102?\nAnswer: 1122002200100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.8 (b) 181 (c) -5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 160 = 168. Find s such that -5*s**3 + 3*s**3 - 5*s**3 - 10*s**2 - s**5 + 8*s + 9*s**t - 4 + 5*s**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 13*m - 22. Give t(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -941.\nAnswer: 376.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -11120243333?\nAnswer: 11120243341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 8) to base 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(833) - (4 + 0 + sqrt(833))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -38\/6539305?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392 and 1911?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkdhqku. What is prob of picking 1 u and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*h**2 - 60*h + 9*h**2 - 45 - 13*h**2.\nAnswer: -5*(2*h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2299, -3190, -4081, -4972?\n\"Answer: -891*h - 1408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18388 - 18383. What is the closest to -15 in 0.6, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10 + (-707)\/(-70) + (-156)\/(-40). Which is smaller: t or -2\/87?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4 - 616*g**3 + 71608*g**2 + 7162848*g + 135210384 = 0 for g.\nAnswer: -34, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) 0.3 (c) 1301\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = c - 3*z, c + 2*c = z - 7. Let q(g) be the third derivative of g**4\/6 - g**3\/6 - 344*g**2. Give q(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695 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: What is the least common multiple of 3454 and 10?\nAnswer: 17270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 4:25 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28\/405 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 43 = 4*q, -q + 2*v - 1 = -23. Suppose -2*u = -3*a - q, -a - 4 = -u + 1. Solve -13 = d + u*k, 9 = -4*d + 5*k + 42 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 x, and 1 e when four letters picked without replacement from xdddbbxelbxrbdxdxddl.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 120 = -3*w. Solve -3*j + w = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 11 - (7 - -1)) + 33.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-6)*0\/(-1). Let f(w) = w - 3. Let p be f(7). Suppose -2*t + 2 + p = k. Solve -4*d - j + 13 = 0, t*d + 4*j - 7 = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65.3 - 5.3. Let p = 14261.39 - 14322. Let i = p + h. Round i to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2352492ug to grams.\nAnswer: 0.0000002352492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 96498 (base 10) to base 12\nAnswer: 47a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 121, 243, 365, 487?\n\"Answer: 122*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.496 - 19. Let v = o - -0.5. Round v to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + (558 - -4))\/((-4)\/2). Let p = 10117\/36 + c. What is the common denominator of (-138)\/240 - (1 - -1)*1 and p?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 12*m - 4. What is the least common multiple of 32 and o(2)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314, 166, 18?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2550 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87407063 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2312 (base 5) in base 13?\nAnswer: 1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*d + 2498*d**2 + 8*d + 13*d + 12*d in the form f*d**2 + h + a*d and give f.\nAnswer: 2498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 259 - 250. Let b = -26 + 41. What is the remainder when b is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -2 (b) 3 (c) 3\/7 (d) 29408 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*-2 - 413\/472.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 - 2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 771 divided by -356\nAnswer: -771\/356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7356.92 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287660206 to the nearest integer?\nAnswer: 16961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 704 and 21560?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -14. Suppose 3 = -i*z + 15*z. Suppose -z + 11 = 2*t. Which is the closest to -1? (a) 4 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o**2 - o. Let z(i) = -2*i. What is z(u(x))?\nAnswer: 12*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -313*g + 311*g. Suppose 5*t - 197 = -2*h, g*h + 0*h = 4*t - 172. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*2\/((-30)\/(-9)). Suppose 0 = -n + y + 3*y - 6, -3*y = -m. What is the first derivative of -2 + 0 - 5 + n*d + 4 wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32319 and 69559?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-4) + (-33)\/(-12). Let z = d - -4. Solve -5*m - q = -5*q + 16, 0 = -2*m + 2*q - z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/81 - (-38)\/(-72). Is i <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 303 - 783. Let a be -1 - (61 - -2)\/(-3). Calculate the greatest common divisor of a and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1752\/(-365)*(-50)\/6. Solve 31*x - 29*x - 1 = 3*q, 5*x - p = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/7*-2 + -1. Let c be ((-540)\/(-25))\/6 + 3\/(-5). Suppose -c*l + 4*l = -3*j + 1, 3*l = -6. Which is smaller: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 30, 8, -1, 110, 2\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106.2 - 106.1. What is the closest to 0 in 0.4, n, -3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*r**4 - 1450*r**3 + 3020*r**2 - 600*r.\nAnswer: 5*r*(r - 30)*(r - 2)*(9*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/28 - (-2)\/7. Suppose 0 = -3*o + d*o + 15. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.136 + -5.136. Let t = r - -1. Let w = 6 - 4. What is the second biggest value in 5, w, -1\/6, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -194, 1, 60, 4, 7.\nAnswer: -194, -2, 1, 4, 7, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 10 + -18 + 2 + 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.6, -0.5, 7\/5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*n + 2*j - 8, 1 = n - j. Suppose -r = -5*d + 13, -n*r + 3*d - 21 = 22. Calculate the lowest common multiple of 9 - 4\/r*-2 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4)*(-4)\/3. Let g(s) = 2*s**w - 3 - 2 + 5. Let h(v) = 4*v. What is g(h(p))?\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqfejefjqfffj. Give prob of picking 2 f.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24, -29, -34, -39, -44?\n\"Answer: -5*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from luwluwavvuvwuln. Give prob of sequence uawv.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(5 + (-6 - -6) + 1).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1\/8, 2\/5, 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/11 in -3, -2\/15, -2\/5, -0.3, 4, 8289?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y - 22. Suppose -990*a = -982*a - 40. Give c(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5241, -1\/3, -5\/2, -2.1 in ascending order.\nAnswer: -5241, -5\/2, -2.1, -1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 - 29752*c**2 - 2223852*c + 2253600 = 0.\nAnswer: -75, 1, 7512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((725\/(-58))\/(-25))\/((-1)\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*l = -6*g + 10, 6 = 2*l. Suppose 5*f - 60 = f + g*h, -2*f = -h - 26. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269535 is divided by 12251.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/750 and -143\/336660.\nAnswer: 8416500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 2838 and 2840 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 11 = -4*v, 4*d = -0*v - 15*v + 26 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.9205 - 14.9205. Let i = -11 - 7. Let p = 31 + i. Sort p, m, -3\/7 in increasing order.\nAnswer: m, -3\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -3*z - 19, 25 = -z + 13*l - 17*l for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-47)\/47)\/(2\/10) - 5. Let y(f) = -2*f - 5. Determine y(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/5, 35 in ascending order.\nAnswer: -1\/5, 0.2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(1584)*-2 + (sqrt(1584)*-1 + sqrt(1584))*1 + 4*(sqrt(1584) + 1) + -4 + -2.\nAnswer: -2 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 1:45 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 + -68. Let z = -33.8 + q. What is the nearest to z in -3, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9 = 2*l + 44, -3*l - u - 54 = 0. Let w = 473\/25 + l. Is w at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7012194 divided by -16422?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 6*t. Let u(b) = 3*b. Give u(a(j)).\nAnswer: 3*j**2 - 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 145, -1738998.\nAnswer: -1738998, -1, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38.5 - 38.6. Which is the nearest to 1? (a) f (b) 0.4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -20. Let p be (8\/1)\/g*58. Suppose 0 = 2*o + 2*o - p. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/4*(-16)\/(-28). Let c = 6 + -18. Let h be (-14)\/8 - 9\/c. Is g less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + x + 27. What is j(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7875 and 3932375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.44805 and -16?\nAnswer: -23.1688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9198?\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 720*c = -2205, -2*m + 31*c - 15*c - 13*c = -9 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 6*x. What is i(6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10667010 and 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 7*d**2 - 12*d**2 + 2*d**2.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44162.431 rounded to the nearest ten?\nAnswer: 44160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u = 4*w + 2164, -1291 = -3*u - 5*w. Suppose 7263 - 2623 = -16*b. Let t = u + b. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20862 or 4.03?\nAnswer: 20862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 145 + 169*l + 162*l + 229 - 355*l in the form d + q*l and give d.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 80*y**3 - 13*y**3 - 208*y**3 + (3*y - y + 0*y)*(-58*y**2 + 90*y**2 - 49*y**2).\nAnswer: -175*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -1 (c) -2 (d) -42 (e) -38 (f) -0.4 (g) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 - 297*i - 16507. What is x(-35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10}. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {e: 6, i: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**3 - 5*q**2 + 5*q + 15. Let c(n) = -2*n**3 + 3*n**2 - 3*n - 8. Determine -5*c(s) - 3*f(s).\nAnswer: -2*s**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1718 - -2912. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.95848 less than 0.243?\nAnswer: 3.20148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17871 or 17872?\nAnswer: 17872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 8*j**2 - 41*j - 7. Let u(s) = s**3 - 9*s**2 + 27*s + 8. Let g(m) = 3*h(m) + 4*u(m). Calculate g(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mms when three letters picked without replacement from msmmmmmmmmmmmmmmmm.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 + 6*f**2 - 8*f + 7. Let m be (0 + 1)*(-6 + (-36)\/(-4)). Let g be w(m). Calculate the greatest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 5313)\/((-9)\/3). Let q = 1748 - g. Find the common denominator of q and -30\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0561 and 137251.\nAnswer: 137250.9439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 - -142. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -47?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/80 and 27\/34880.\nAnswer: 34880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 17*b**3 + 1 + 38*b**3 + 6 with respect to b.\nAnswer: 63*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861529 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 46*c**2 + 7*c + 7. Let j be i(-10). Let u = 290349\/64 - j. What is the common denominator of u and -127\/12?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 9. Suppose 3*d - f*h - 11 = h, -2*d = -2*h - 8. Solve d*c + 0 = -10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -408*a**2. Let s(k) = 4*k. Determine s(o(y)).\nAnswer: -1632*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**3 - r**2 - r + 1. Let x(m) = -m**3 + m**2 + m - 1. Suppose 2*c - 1 = 3*c. Let q = 0 - c. Give q*f(u) + x(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2*c**2 - 473*c - 69*c + 470*c + 4.\nAnswer: 2*c**2 - 72*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2294807\/24263 - -1797\/19. Let y be 27\/756*14*0. Is y greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -15*h + 14*h - 9, -4*h - 27 = -r. Solve 5*p + 9 = -r*b + 3, -p = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 14*u**2 + 39*u - 14. What is the units digit of g(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -340\/75749 or 1?\nAnswer: -340\/75749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from wwfwfwffwfwfw?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 4:25 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -24*g**3 + 1582*g**2 + 104*g + 1870. Determine q(66).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 253?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10*g - 7. List the prime factors of t(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247580 is divided by 123154?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 3. Let c(u) = 4*u - 6. Let r be c(3). Let i(b) = 8*b + 13. Let s(z) = r*i(z) + 26*n(z). Let x(k) = -2*k**2. Give x(s(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5.612 times -0.061\nAnswer: 0.342332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7807\/6, -8.52, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i**2 + 0 + 30*i + 3\/2*i**4 + 3\/2*i**3 = 0 for i.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) - sqrt(84)\/(sqrt(12)*5) - sqrt(14)\/(sqrt(6)\/sqrt(3)) - (((-4 + sqrt(7) - sqrt(7)) + 1)**2 - ((-2*sqrt(70))\/sqrt(10))**2)).\nAnswer: -76 + 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/22 - (2 + 124\/44)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -53 + b615?\nAnswer: b582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.5 - -9.5. Let h(w) = w + 4. Let g be h(-2). Which is the nearest to -0.1? (a) g (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 12 = 4*s, -t + 4*s - 12 = -0*t. Suppose -7*z + 3*z = -c + 3, -2*c + 5*z + 3 = t. What are the prime factors of c - ((-30 - 0) + -1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = b - 33, -132 = -31398*b + 31394*b - 5*y for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-1 - sqrt(228))\/sqrt(12))**2 + 3*sqrt(684).\nAnswer: 76 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33*(-2 - (-7)\/3). Suppose i + z = 2*b - 0*i, -18 = -b + 3*i. Let d(k) = k**2 - k + 2. Let y be d(b). Calculate the greatest common factor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90158947 * 3\nAnswer: 270476841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 260364469 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 u be ((-21)\/(-14))\/(1 + -4). What is the second smallest value in u, -1, -5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 1\/5, -102.93 in ascending order.\nAnswer: -102.93, 1\/5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x - 23. Let y = 1 - -5. Let r be k(y). Solve r - 7 = 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 14 - 17)*(5 - 2 - 1)*(2 - 5 + 13)*(-x + 0 + 0) in the form v + q*x and give q.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 + 141. Put 3, v, 3\/5 in increasing order.\nAnswer: 3\/5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.3 + 0.7. Let z = k + 1. Suppose 2*o - 2 + 12 = -2*q, -4*q - 25 = 5*o. Which is the closest to -1? (a) o (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.97 + -0.03. Let d = -5 - k. Let r be 2\/6 - (-4)\/(-3). Which is smaller: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + y - 1. Let a(o) = 8*o**2 + 2*o - 7. Let k(z) = -a(z) + 3*v(z). What is k(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 - (-6)\/(-4). Let i be (-16)\/y - 56\/14. Solve -16 = q + i*b, 2*b = 4 - 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -141*k. Let t(o) be the third derivative of o**4\/12 - 146*o**2 - 1. Determine t(j(u)).\nAnswer: -282*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7416689210 rounded to the nearest 1000000?\nAnswer: 7417000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + y + 5. Let l be h(0). Is l less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -26*s - 24. Let n(g) = -81*g - 29 + 145*g - 66*g + 29. What is n(f(r))?\nAnswer: 52*r + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -592 - -2435\/4. Let a = 3377\/4 - 824. Find the common denominator of a and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11651 + -0.2?\nAnswer: -0.31651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 356256862, 356256863, 356256864, 356256865, 356256866, 356256867?\n\"Answer: z + 356256861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93022 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 - 682 = s. Let y = -3745854\/17 + 219340. Let g = y - s. Is 2\/9 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 98*m**2 - 298*m + 655. Determine o(-101).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 11*f + 30. Let o(w) = w - 5. Let u(j) = n(j) - 7*o(j). What is u(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137926 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -0.8, -0.4, 34 in decreasing order.\nAnswer: 34, 2, -0.4, -0.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l - 9. Determine b(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2\/39, 4\/87, -375, -1\/5.\nAnswer: -375, -1\/5, -2\/39, 4\/87, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 + 28. Let k(s) = 7*s. Give w(k(o)).\nAnswer: -196*o**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o + 12 = 28*o. What is the third derivative of 89*m**2 - 1 + 5 + 0*m**o - 4 - 3*m**3 wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 divided by -10782.\nAnswer: -119\/10782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31405131.\nAnswer: 3, 151, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 a factor of 131515328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -10\/3*j**4 + 0 - 4\/3*j**5 + 0*j - 2\/3*j**3 + 4\/3*j**2 = 0.\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14854906 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -6 - 244. Suppose -5 = -4*w + 3*w. What is the greatest common factor of w and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317720 divided by 2444.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84456 and 84.\nAnswer: 591192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3 + 10*o + o**2 + 3. Suppose d - 18*d = 69*d + 860. Give p(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 333190 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 4234, 26\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(((g*g**2)\/g*g)\/g)\/g*g*g**(1\/19)\/g*(g**(1\/3)\/g)**(-1\/28) assuming g is positive.\nAnswer: g**(1657\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 + 5 = -5*w, 4*k - 26 = -5*w. Let v be (-34)\/(-8) - w\/8. Suppose 0 = -l - v*m + 16, 5*l + 18 = -2*m + 170. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, l: 2, i: 3}. Give prob of picking 1 f and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-135)\/20)*(-20)\/(28320\/36)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a**2 + 19*a + 3. Let m(z) = -z**2. Give -4*m(b) - t(b).\nAnswer: -7*b**2 - 19*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u**2 + 4*u - 17. Let w(o) = 5*o**2 + 3*o - 16. Let m(b) = 5*h(b) - 6*w(b). Let y(p) = -2*p**2 - p - 4. Determine -3*m(t) - 8*y(t).\nAnswer: t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7953097499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -852*s + 420*s + 411*s.\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -1. Suppose -3 = n, -d = -2*d + p*n + 8. What is the units digit of d\/5*(-75)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-7)*123417\/(-6530). Factor -b*i - 3\/2*i**2 - 30.\nAnswer: -3*(i + 4)*(i + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 7*r + 18. Calculate h(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-1100)\/240 - (-10)\/(-8). Factor 5\/3*d + 25 - r*d**2 - 1\/3*d**3.\nAnswer: -(d - 3)*(d + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l**2 - 2*l - 38. Let x(m) = 3*m**2 - m - 19. Let w(b) = -5*x(b) + 2*y(b). What are the prime factors of w(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 10*f**2 - 8*f + 12. Let m be z(-9). Let n(u) = -u**2 + 2*u. Let x be n(m). Is -3\/2 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1933616 is divided by 2180?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k. Let m be u(2). Let l(v) = -2*v - 13. Let g be l(m). Let i(r) = 4*r + 2. Give i(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (7 - ((0 - (-10 + 3)) + -2)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 58*s + 5289 = -69*s for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**5\/60 + 2*g**3\/9 + 116*g + 1. Suppose i(k) = 0. Calculate k.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 3561 - 7845 - 8558 - k.\nAnswer: -k - 12842","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 1. Suppose 0*l - u = -2*l. Solve 0*j + l*j - 10 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*84\/180*16\/728?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 5*p - 44, 0 = -21*p + 22*p + 4 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2264*k + 488*k - 22028 = -36717 + 130129 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -422 - -218. Let p = -1213 - -1724. Let o = p + w. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.34 - 0.88. Let m = 0.18 - x. Let w = 3.3999925 - m. Round w to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 745711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 3*h + 5. Let z be x(2). Suppose -z*p + 3*w + 66 = p, 5*p - 4*w - 83 = 0. Let n = 39 - p. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rez when three letters picked without replacement from ededrdrezdddderedrz?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 545 + -472. What is the remainder when r is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(102) - -2*sqrt(102)*-6)*1)\/(1*sqrt(96) + (sqrt(6)*-3 - sqrt(6))*6).\nAnswer: 11*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 12*o**3 + o**2 + o + 13. Let q(g) = g**3 + g**2 + g + 1. Let l(a) = n(a) - q(a). What is the derivative of l(f) wrt f?\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 979 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -2 - (42 + -55) - (16 + -25)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2214\/5215 - 3\/745. Let a = 2 + -6. Sort 0.1, k, -9, a.\nAnswer: -9, a, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/2 + 30324974*l - 459802024050338 = 0. Calculate l.\nAnswer: 30324974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2132131 (base 4) to base 12\nAnswer: 5a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-111 - -142) + (2 - 1) + -10 + -11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**9\/113400 - w**8\/10080 - w**7\/4725 + 19*w**4\/6 + w**3\/3 + 33*w. Let o(n) be the third derivative of x(n). Factor o(d).\nAnswer: -2*d**2*(d + 1)*(d + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 22322 = 9*z + 21890, -21*l + 308 = 5*z for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 15*j**2 + 11*j - 21. What is a(14)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g - 0*g. Suppose -u + 5*v + 273 = 0, 7*v + 927 = 3*u + 10*v. Suppose -2*a = g*z - 532, -5*a = -5*z + u + 222. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 + 96. Suppose 2*u = 3 + n. Calculate the greatest common divisor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -383 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44a4 + -122?\nAnswer: 4382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8912794, -8912770, -8912746, -8912722?\n\"Answer: 24*g - 8912818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uububbuuububbbuburbb.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(5*(sqrt(190) - (sqrt(190)*1 - sqrt(190))) - sqrt(190))\/(sqrt(160)*2) + -3)*2)**2.\nAnswer: 60*sqrt(19) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -36831762192033?\nAnswer: -36831762192037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 19 + -2)*(-10824)\/(-108)*3.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523323501.\nAnswer: 3, 174441167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22.8, -3\/10, 5, 1, -3, 2\/105.\nAnswer: -22.8, -3, -3\/10, 2\/105, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1171868, -1171877, -1171886?\n\"Answer: -9*h - 1171859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (2 - (10 + -2) - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**4\/12 - s**3\/6 - s**2\/2 + s. Let f(b) = -b**2 + 4*b + 4. Calculate f(v) + 4*y(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3\/9 - k**2 - k\/9 + 1 = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119291265*b**4 + 65*b**2 - 215956*b wrt b.\nAnswer: 2862990360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-18))\/(7\/(-42)). Let o be (-2 + 5)\/(2 - i). Solve 2*w - o*w = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 12 = -3. Let t be (-6 - j)*19\/(-3). Suppose 2*r - 19 = t. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*y. Let m(c) = c**2 + y*c**2 + c**2 - c**2. Let v(t) = 2*t**2 + 3*t - 3*t. Calculate v(m(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40268048*l*p - 1445089*p wrt l?\nAnswer: 40268048*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2322*f + 9557*f + 4105*f in the form m + o*f and give o.\nAnswer: 11340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15453030 (base 6) to base 7.\nAnswer: 4454526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 - 53*g - 23. Let z(f) = f**2 - 13*f - 6. Let w(u) = 2*c(u) - 9*z(u). What is the remainder when 77 is divided by w(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(5\/2)\/a**4*(a\/(a**1*a))**(3\/10))\/((a**(-5\/4)*a**(4\/3)\/a)\/(a**(-2\/3))**(-5\/3)) assuming a is positive.\nAnswer: a**(41\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*d - 5255 - 5119 + 2940 = -235*d for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/2287 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-18)\/(j*j**(-3\/2)))**(-32\/3) assuming j is positive.\nAnswer: j**(560\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 - x**2 - 2*x - 4. Let w be u(2). Suppose 6 = -g + w*g. Suppose t + 14 = i, -26 = -i + g*t - 7. Solve 0*y + 3*y = -i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 273, 601, 1061, 1653, 2377?\nAnswer: 3233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -6. Let o be (10 - h)\/(1\/57). Suppose 4*g = o + 35. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 15) to base 2\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*16\/4 + -52. Let b = 52 + m. What is the derivative of -b*o - o - 5*o + 29 wrt o?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 191*t - 189*t - 90. Calculate the highest common factor of 10 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a factor of 109984243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 2805, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 62 = -4*o, -o - 5*v - 13 = -3*o. Let u = o + -5. Calculate the highest common divisor of 45 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1375, -2761, -4147, -5533, -6919, -8305?\nAnswer: -9691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127 - 127. Suppose m = y + 193 - 199. Solve 4*p + 2 = y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3 + 3\/2*w**3 + 0*w**2 - 9\/2*w = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 1247.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793202.\nAnswer: 2, 396601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1415729 (base 10) to base 12.\nAnswer: 583355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -303 + 2241. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**3\/17 + 201404194*x**2\/17 + 5070456069396606*x\/17 - 5070456270800802\/17 = 0.\nAnswer: -50351049, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 13) to base 7\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**7\/147 - 2*b**6\/105 + b**4\/21 + b**3\/21 - 4*b + 10. Let w(d) be the first derivative of q(d). Let w(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 436 = 5*i. Let q be (1 - -2) + i - 1. Suppose -c = 2*c - 3*x - q, 42 = c + 4*x. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**5\/15 - 3*n**4\/4 - 7*n**3\/3 - 19*n**2\/6 - 2*n + 13433. Solve y(r) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 + 3*b + 4. Give g(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u**3 + 5*u**2 + 2*u - 5. Let a(w) = 4*w**3 + 3*w**2 + w - 3. What is 5*a(z) - 3*d(z)?\nAnswer: -7*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**7\/1680 - t**5\/60 - t**2. Let q(v) be the third derivative of g(v). Let w(l) = l**2. Give q(w(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + 75.08. Let t = -3.8 - h. What is t rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 68, -33, 101, 0 in descending order.\nAnswer: 101, 68, 59, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324619 is divided by 106434?\nAnswer: 5317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-346 + 182 + 183 + 1 - 3 + 0 + 3 + 1 - 5 + (-1 + 5 - 3)*(-5 + 4 + 0) - 1 - 3 + 5)*(-5*q**3 + 7*q**3 + q**3) as x*q**2 + g*q + k + u*q**3 and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 12:03 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-10) + 42\/10. Solve -5*a + 5 + b = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491174027 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 19186*y**2\/9 - 76528*y\/9 - 76456\/9.\nAnswer: -2*(y + 2)**2*(9*y + 9557)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -93 - -114. Suppose -7*g + 56 = -b. Suppose 0 = v + 4*v + 3*q - 19, 5*q - g = 2*v. Solve -v*o - 4 = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 = -2*w, -5*w + 4 = -5*l - 1. Solve x + 1 = 0, -4*r + w = 2*x - x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*y + 28*y - 187*y + 50*y.\nAnswer: -56*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4734920 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/15)\/(((-33)\/10*-1)\/((-4422)\/5896))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -13. Suppose -5*z = m*p + 23, -2*p - 39 = 2*p + 5*z. List the prime factors of p\/4 + 1 - (-1 + -23).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**5\/20 + o**4 - 5*o**3\/3 - 17*o**2 - 46*o. What is the tens digit of w(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12)\/(42\/168)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/5 - 16\/60*18. Let r(i) = -i**3 - 7*i**2 - 5*i + 30. Let w be r(x). Let z(n) = n**3 - 4*n**2 - 3*n. Calculate z(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 342538205 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 35. Determine q(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49192\/27 - 10915\/6. What is the common denominator of p and 41\/42?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1765279.\nAnswer: 43, 61, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26420878 divided by -1?\nAnswer: -26420878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837405156.\nAnswer: 2, 61, 7530349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 5:40 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -247 divided by 4\nAnswer: -247\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53.42 + -53.5. Let q = -3 + 3.2. Suppose -5*p = h + 3, 3*p - 9 = 3*h + 4*p. Sort f, h, q.\nAnswer: h, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -43 (b) 5 (c) -1 (d) -0.4 (e) 0 (f) -225 (g) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 151?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5738404 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -130?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 + 164. Let k = 972\/11 + -87. Let y = k + -64\/55. Which is the second smallest value? (a) y (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -41436, -82874, -124312?\n\"Answer: -41438*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 72 + -4?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31964900 to the nearest integer?\nAnswer: 5654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**4 + h**3 + 1. Let f(i) = -i**2 - 6*i + 3*i**2 + 10*i**4 + 10*i**4 - 15 - 5*i**3 - 7*i**4. Let a(o) = 2*f(o) + 22*z(o). Let a(q) = 0. Calculate q.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5\/7 + 132*w**4\/7 + 2082*w**3\/7 + 7860*w**2\/7 + 1431*w + 4104\/7 = 0. What is w?\nAnswer: -8, -3, -1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-6))\/(12\/16). Which is greater: -10 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 50. Let x(i) = -4*i - 1. What is -x(k) + z(k)?\nAnswer: 5*k - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-15) + (-3)\/(-60))\/1. Which is the third smallest value? (a) 2\/5 (b) r (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 225 = -2*z, 2*u + z + 21 = 111. Let i = -903 + 857. What is the common denominator of u and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.01\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -3*(-10900)\/(-2025)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 13. What is the remainder when d(-8) is divided by (18\/4)\/(1\/6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnrkmmmnm. Give prob of sequence mvnr.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3741 is divided by 75.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0645953nm?\nAnswer: 0.00000000645953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5807 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*k + 72. Suppose -4*i + 29 = 4*l - 127, i - 40 = -2*l. Let v = i + k. What is the remainder when 52 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 6*h - 3. Let i be t(-4). Solve i*b - 3*f - 25 = 0, 2*b - 3*f = b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5531690?\nAnswer: 2, 5, 277, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(-2 + a + 2) - 6 + 4*a + 6)*(22*a + 204*a + a + 146*a).\nAnswer: 2238*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: -15 + (-17 - -1 - (-375 - -353))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -3. Let x be (-14)\/(-21)*2\/6. Put 1\/3, x, i in ascending order.\nAnswer: i, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 49 - 14)*(-15*w**2 + 6*w - 6*w) + 0 + 3*w**2 - 4*w**2 - 2.\nAnswer: -331*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 4:10 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 40*z**2 - 479*z - 2018. Calculate f(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -3\/5, 9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/22 and -2 - ((-508)\/(-80) + -3)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23362102 take away -2667419?\nAnswer: -20694683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 12*z**2 - 184*z - 3334. Give x(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 14. Let f(x) = x**2 + 4*x + 2. Let o be f(p). Suppose l - 9 = -5*u + 3, -2*l + o = -u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154 - -176. Solve -k = 5*d - 22, -k + 2*d + 9 = p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16610 is divided by 248.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j**2 - 22*j + 3. What is k(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -135823 greater than -135814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -34. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 11*n**2 + 7*n - 14. Let z(x) = 8*x + 6. Let b(h) = h + 15. Let w be b(-8). What is the remainder when z(w) is divided by y(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -167671 + 5*d + 121*d + 167913 + 187*d wrt d.\nAnswer: 313","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -53.6, 4, -556, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w - 18*w + 10*w)*(-w - 6*w + 8*w) + (1 - 1 + 2*w)*(0*w - 2*w + 4*w) - w**2 - w + w.\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2644*t = 1324*t + 1330*t - 250, -2*x - 2*x + 2*t = -3*t + 113 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5 + 180*c**4 + 2763*c**3 + 1542*c**2 - 15624*c = 0. What is c?\nAnswer: -31, -28, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 + 0*a - 3*a + 0*a**2. Let y(t) = -4*t + 20. Let f be y(6). Let k(w) = -4*w**2 - 4*w. Calculate f*k(z) + 5*x(z).\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62501.03cm to kilometers.\nAnswer: 0.6250103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71347.\nAnswer: 71347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/2*102656\/(-32080).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 428281 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 + 0.07. Let z = 0.14 - b. Let v = 4.89 + z. What is the nearest to 2 in 1\/4, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/2)*v)\/v)**(1\/15)*((v\/((v\/((v\/(v**0\/v))\/v))\/v*v))\/v)**(-5\/9)*(v**(1\/2)*v)**(5\/8)\/(v*v**0\/v)**3 assuming v is positive.\nAnswer: v**(233\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*h - 14 + 2 = 0, 0 = -4*y + 5*h - 6. Which is the nearest to -9? (a) -2\/9 (b) -4\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26405 is divided by 6596.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26a (base 11) in base 12?\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4313 - -4522. What is the remainder when 412 is divided by x?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.71 - -4.19. Let k = 5.1 - i. Which is the closest to -1\/4? (a) k (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2*d - 11 = 0, -3*t + 3 + 5 = d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a + 4*n = 72, -2*a - 5*n = -39. Let j be 8*(2 + 0 + -1). Suppose v = -1 + j. Calculate the remainder when a is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gop when three letters picked without replacement from pgoo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*j**2 + 370*j + 382*j + 398*j - 1151*j.\nAnswer: -72*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**4 + 90*t**3 - 85*t**2 = 0. What is t?\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16635 + -1\nAnswer: 16634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.013 in 0, -0.3, 4, 0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2259 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 2 + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 189*s**3 - 4*s**2 + 200*s**3)*(4*s**2 + 2 - 2).\nAnswer: 44*s**5 - 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3333777 to the nearest integer?\nAnswer: 1826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 22 - (-103 - -100)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1342725803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192552\/14768 - (24 + -6 + -5).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924637.\nAnswer: 7, 31, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 200. Determine d(-101).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by -80.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-4) + -6 + 1. Let b(s) = -58*s - 1. Is b(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2318433 and 145\/222.\nAnswer: 171564042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9401 = 286*a + 98*a - 1721. What is the second smallest value in -1\/6, -13, a?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 + -67. Suppose t = -2*p - 25. Let w = p - -95. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1346092815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 252425*g - 11468875. Let u(k) = 2*k - 95. What is 2*i(b) - 241450*u(b)?\nAnswer: 21950*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 1521?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l + 7 = b, -5*b + 4*l - 13 = 0. Let s(o) = -o. Let t be s(b). Solve -5*f - 2 = -2*g - 2*f, 3*g - t*f = 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417736 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -0.061 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 46*j + 5460. Let b be t(0). Suppose -13*s - s = -b. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 808*z + 102599 - 41191 for z.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 12 = 6*c. Let g = c + 11. Suppose 16 = 5*x - g. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 450\/(-55) + 3. Which is greater: -4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(143) - (sqrt(143)*1 + sqrt(143) + sqrt(143))))\/sqrt(11).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 558\/31*(-2)\/66?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3699.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-5)\/(180\/152)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3\/2)*-90. Let r = 0 + 2. Suppose r*d - n = -d. Solve -5*s + d = 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/109128 and -38\/2687277.\nAnswer: 21498216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + d**3)*(d - d + d) + (4*d**4 - 4*d**3 + 4*d**3)*(386 + 18 + 501).\nAnswer: 3621*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 - (23 - 19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*((d*d**(-2\/5))\/d)\/d*d)*d**2\/d)**(-2\/95) assuming d is positive.\nAnswer: d**(-24\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.785 - -7.485. What is the closest to 2\/7 in 1\/8, -3, o?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:34 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.6 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086806057 to the power of 1\/3, to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 7*m + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1015 + 17*b - 5*b - 91*b - 14*b - 363. Give m(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 0. Suppose -a = -f - 10. Suppose 2*u + 2 = 0, u + 3 = 4*o + 2*u. Calculate the highest common factor of o and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*l - 17*l - 25*l - 21*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -151 - -151. Solve x = 4*i + 6 - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 6*m + m - 10 = 0, -m - 191 = 13*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 607, 594, 567, 520, 447, 342, 199?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -20*m + 11. Let b(g) = 19*g - 11. Suppose z + z + 6 = 0. Let y(l) = z*q(l) - 4*b(l). Let n(s) = -3*s + 2. Calculate 11*n(r) - 2*y(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) 0.087 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 5\/3, -6, 0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-76)\/32 + 2 - 147\/888. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 3. Let f = -15 - -8. Let m(u) = -9*u - 290. Let l(k) = 26*k + 821. Let v(j) = 6*l(j) + 17*m(j). What is f*i(q) + 5*v(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0 - 6. Suppose a*h + h = 12. Suppose 0 = -4*n + 6*n - 24. Solve h + n = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z + 2. Let f be t(9). Suppose 2*j + 3*j + l = 56, 4*j = -3*l + f. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 80, 155, 280, 467, 728, 1075?\nAnswer: 1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 6 + 21 = 0. Suppose 4*c = -5*r - 10 - 9, v*r = 4*c - 5. Suppose -47*t = -5*p - 52*t + 15, -21 = -3*p - 5*t. Put c, 1, p, -2 in decreasing order.\nAnswer: 1, c, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.7. Let z = 0 + 3. What is the nearest to -1 in 0.2, z, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 230*n + 8770. What are the prime factors of c(87)?\nAnswer: 2, 5, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61 + -119 - -54) + (-1264)\/(-312).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3798, -30438, -74844, -137022, -216978, -314718, -430248?\n\"Answer: -t**3 - 8877*t**2 - 2*t + 5082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78111735*-4.\nAnswer: 312446940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 equal to 492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103043?\nAnswer: 3, 47, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z. Let s(q) be the third derivative of q**4\/24 + 4*q**2 + 2*q. Calculate s(w(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 974.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by -9?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((48\/12)\/492)\/(12\/(-18))*-8?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 371*x - 16. Let c(s) = -744*s + 31. Let u(n) = 3*c(n) + 7*o(n). What is the tens digit of u(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*u = -18, -2*q - 173 + 149 = -4*u. What is the biggest value in 5, 0, q, 0.07?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 1. Put o, -4, 13 in decreasing order.\nAnswer: 13, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(343) - sqrt(343))**2 - (sqrt(28)*1)\/sqrt(4).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Suppose -x*g = g + 15. What is the units digit of 1*(-5)\/(g\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -21. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-281*x - 381*x**4 + 371*x**4 + 579*x)*(-2*x + 2*x + 2*x).\nAnswer: -20*x**5 + 596*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 7:49 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 v when three letters picked without replacement from tftvttvfvt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632867779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -617*k**3 - 23*k**2 + 14*k + 40. Let m be o(19). What is m rounded to the nearest one hundred thousand?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -728 + 736 - (4 - -52).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 68 (c) 5 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(50\/(-120))\/(20\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -84.17 (b) 0.5 (c) 878\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 212313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -288 + 491. Suppose 5*b - 282 = c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16592532 divided by 1011?\nAnswer: -16412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5*b = 0, 4*b = -12*z + 17*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1902343?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/17, 1\/2, -5, -519?\nAnswer: -519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**3 - 3*y**2 + 2*y + 3. Let p be c(4). Suppose -z + 19 = 4*q, -4*z = z + 5*q - p. Suppose -3*g - 2*g = -z. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1293*b**3 + b**2 + 89*b + 1.\nAnswer: 7758*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Suppose 7*y - 10*y = -12. Factor 3*n**4 + q*n**2 + 0*n**y - 5*n**4.\nAnswer: -2*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/647808 and 19\/115957632.\nAnswer: 115957632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-1) - (-123716 + 5). Suppose -2*f = 20*f - l. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*n + 12 = w, -71 = -3*w + n. What is the common denominator of ((-6)\/w)\/(2\/17) and -41\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12072 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001525370393 to seven decimal places.\nAnswer: -0.0015254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1493915801\/548810 - 10\/54881. Let s = -2097 - 629. Let d = s + h. What is the common denominator of d and -91\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.14 - 14.14. Let y be 6\/(-27) - 2\/18. Let j be (4\/(-10))\/((-14)\/10). Which is the nearest to j? (a) y (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36575 is divided by 9139.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -2)\/(4 - 2). Suppose 0 = -h*x + 3*x + 15. Let z(p) = p + 9. Let s be z(x). Is s > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(539) - sqrt(539))**2 + sqrt(539).\nAnswer: -2156 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 3238.\nAnswer: 3238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 534 and 16001399.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 18*m + 41 + 3. Let d(o) = 2*o - 13. Let z(h) = 5*h - 26. Let a(k) = -7*d(k) + 3*z(k). Determine a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (717\/(-239))\/((-42)\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/15)\/(3\/20). Find l, given that -40*l + 40*l**3 + 42*l**s - 16*l**2 - 22*l**4 - 12 + 8*l**4 = 0.\nAnswer: -1, -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1105345243 + 22?\nAnswer: 1105345305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-10)*-2*5. Suppose 0*k + k = r. Suppose -3*m - k = 5*x - 115, -4*x - 5*m + 80 = 0. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/((-2)\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*a - 2. Suppose 4*o = 4*x - 52, -x - 7 = a*o - 0. Suppose -4*m - 5*i - x = 0, -m + 0*m - 2*i = 5. Solve y + m*t - t = 1, 3*t + 3 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30898472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 872.6931 milligrams?\nAnswer: 872693100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 601561, 2406381, 5414409, 9625639, 15040065, 21657681, 29478481, 38502459?\nAnswer: 48729609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 2 - 58)*(3*n - 75*n - 50*n)*(-4*n + 5*n + n) to u + f*n**2 + g*n and give f.\nAnswer: 18300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/3 - (-196)\/(-147)) + 18\/27)*168?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, p: 4, n: 9}. Give prob of picking 3 s.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 v when three letters picked without replacement from uuvvuuuvuuuvuuuuvu?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/3*(-2 - -29). What is the greatest common factor of i and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 5 + 7 - 3 - (-26 + 19)) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2653764693 to the nearest integer?\nAnswer: 51515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3465707 is divided by 9221.\nAnswer: 7832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -504518, -504522, -504528, -504536, -504546?\n\"Answer: -a**2 - a - 504516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/5))**(1\/39)\/((p*(((p\/(p**2*p*p))\/p)\/p*p)\/p)\/p**2) assuming p is positive.\nAnswer: p**(1177\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-49)\/(-5) - 5\/(-25). Suppose 2*b + 5*g - 10 = 0, 2*b + 2*g = g + 10. Solve 15 + r = b*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 6*k = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54819.\nAnswer: 3, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -380550 or -380647?\nAnswer: -380550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 667 + -674. What is the smallest value in z, 0.26, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywj when three letters picked without replacement from zjyjwjjwjzwywzjjjjz?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 times -1.48?\nAnswer: -69.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -393 + 147. Let j = a - -245.214. Round j to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**5 + 1184*l**4 - 15776*l**3 - 4736*l**2 + 63168*l = 0.\nAnswer: -2, 0, 2, 14, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 432808 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1064\/(-2964))\/(36\/(-117)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + g**2 - g + 4. Let h be m(0). Suppose -h*p + 19 = 2*v - 3*v, -2*p = -8. Calculate the common denominator of -45\/2 and (-30)\/(-24)*v\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2234, 2158, 2032, 1856, 1630?\nAnswer: 1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*w + 3*i - 18, i = 3. Let r(o) = -1. Let k(d) = -3*d - 1. What is w*r(t) - k(t)?\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4082, 14972, 33126, 58544, 91226?\nAnswer: 131172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*z**2 + z**3 + 157*z**2 + 250 - 80*z**2.\nAnswer: z**3 + 250","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29\/5758 + -460909\/518220. What is the common denominator of x and 103\/6?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5054 less than or equal to 5058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (1225\/(-350))\/(1\/(-16162)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 2:29 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 1\/24*d**4 + 0 + 0*d + 1\/6*d**3 - 9*d**2. Give i(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**2 - 159*c + 160. What is i(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 817.\nAnswer: -5\/817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 18*i**2 + 19*i - 6. Let g be y(17). Suppose -c + 5*c = g. Suppose -6 = -r - 4. What is the remainder when c is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/7 and 43\/26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1076 - -2?\nAnswer: -1074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 736 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6*l = -12. Suppose 0 = l*z + 4, 0 = -2*o + z - 0*z + 1263. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, -0.2, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:16 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.502, 64, 36?\nAnswer: -2.502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighty-nine halves of a kilometer?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x + 26. What is t(9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 67.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**8\/120 - 13*u**5\/60 - 3*u**3 + 16. Let h(y) be the third derivative of v(y). What is the second derivative of h(z) wrt z?\nAnswer: -168*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 11:36 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000137394 to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**4\/4 - l**3\/3 - l**2 + 3*l - 38. Calculate w(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b + 121. Calculate g(-41).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*a - a = -19, 4*a + 4 = 4*h. Let x(d) = 3*d - h*d - 2*d. Let q(r) be the third derivative of -r**4\/12 + r**2. Determine x(q(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -49, -3, -4, -2, 86, -11 in decreasing order.\nAnswer: 86, 2, -2, -3, -4, -11, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88732902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3265 - 0?\nAnswer: 3265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(sqrt(1260)\/sqrt(5) + -4) + (sqrt(7) + -2*sqrt(343) + -4 + sqrt(28)\/sqrt(4))**2.\nAnswer: 120*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2792320 is divided by 595?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -154, -34949, 2, 1 in decreasing order.\nAnswer: 2, 1, -154, -34949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30603*l**5 + 31209*l**4 - 29994*l**3 - 31206*l**2 - 609*l - 3 = 0 for l.\nAnswer: -1, -1\/101, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2 + 42*o - 92 = 0.\nAnswer: -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**2 - 3. Let w(g) = g**3 + 24*g**2 - 25*g - 37. Let k be w(-25). Let v = -34 - k. Does 20 divide i(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 50 = -4*f. What is the smallest common multiple of f and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 - 5*g + 111. Let u(q) = 4*q**2 - 4*q + 111. Determine -2*s(w) + 3*u(w).\nAnswer: 4*w**2 - 2*w + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4732, 9155, 13578, 18001, 22424?\n\"Answer: 4423*s + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.627 and 20755.\nAnswer: -13013.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaqaaaaaaaaaaaqa?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f + 26. Let r be h(-4). Solve r = -b + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*b = -0*b + 19, 3*q - 4*b = -29. Let v be (-2)\/q - (-35)\/(-21) - 588. Let g = v + 1034. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8314.24ml to litres.\nAnswer: 8.31424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-25) + 24\/10. Solve 4*v = 3*v - o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-4))\/(215\/(-40) - -5). Let q be ((-14)\/c)\/((-1)\/3). Let i be (3\/q)\/(7\/(-49)*-1). Solve 10 = -i*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-14) - (-22)\/14. What is the third derivative of 4*p**2 + 44*p**3 - 5*p**2 - 7*p + 2*p + 2*p**t wrt p?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3. Let j(m) = 6*m**3. Suppose 2*r - 6 = 3*o - 41, 0 = 4*r + 4. Determine o*x(s) - 2*j(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 11700*s**2 - 70284*s - 93744.\nAnswer: 3*(s - 3906)*(s + 2)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 (base 8) in base 12?\nAnswer: -b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*r**2\/9 + 45601682*r\/9 - 779516.\nAnswer: 2*(r + 1753911)*(13*r - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1838*x + 4 = 2*q + 1841*x, 5*q + 3 = -x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 - -3201102?\nAnswer: 3200302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-9)\/36*8\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 299718.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9 - (-9 - 14\/(-2))) + 10788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 61, 76, 97?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 756 and 756?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -188, -293, -398?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 110*s - 2293. Let a be i(28). Let h(n) = -3*n - 2*n**2 + 5*n + n**2. Give h(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - a - 24, 2*k + 2*k - 3*a = -32. Let o = k + 12. Let t = 256 - 254. Solve -t*l - 4 = -o*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.1 and 0.18.\nAnswer: 0.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 175452124 and 175452115 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = -4*y, 5*u + 2*y - 57 + 8 = 0. Let s be u\/44*-1*2. Let h = 2.1 + -2. Put h, 0.2, s in decreasing order.\nAnswer: 0.2, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2020 and -8818974178.\nAnswer: -8818972158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -11*g**2 + 149*g + 1. Let s(i) = 13*i**2 - 149*i - 1. Determine 4*a(q) + 3*s(q).\nAnswer: -5*q**2 + 149*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -11001000000?\nAnswer: 11000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.57033ml?\nAnswer: 0.00257033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962120 divided by 2364?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*j - 47*j + 54*j - 6438 = -14*j for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/9, -2870.3, -0.4 in increasing order.\nAnswer: -2870.3, -0.4, -2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/48*(-6885)\/7497?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -68836, -70221, -71606, -72991, -74376?\n\"Answer: -1385*m - 67451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t - 274. Let p = 139 + t. Put -70, -3, p in descending order.\nAnswer: p, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 2*g. Let x be -2 + 1 - (-1 + g). Suppose -2*s - 4 = i, x = 5*s + 5 + 15. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22, 174, 412, 736, 1146?\n\"Answer: 43*s**2 + 23*s - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 19. Let u be i(5). Let q(s) = -11*s - 64. Let w be q(u). Factor -21*t**3 + 6*t - 13*t**2 - 32*t**2 - 3*t**4 + w*t - 35*t.\nAnswer: -3*t*(t + 1)*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1603581.\nAnswer: 3, 7, 19, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*n + 2285*n**3 + 53*n.\nAnswer: 2285*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1280) - 3*sqrt(1280)*1))\/(-3*(-2*sqrt(90) + sqrt(90))*6).\nAnswer: 32*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 130606.36 and -9.\nAnswer: 130597.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.04, -0.0791, -1\/6?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2) + -8 + 18 + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 879*x - 3100*x + 1301*x as u + l*x and give l.\nAnswer: -920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.102954998 to three decimal places.\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - 2*q**3 + q + (2*q**2 - q**2 + 0*q**2)*((1 - 5 + 5)*(-2*q - 3*q + 3*q) + (-5*q + 3*q + q)*(12 + 7 - 30)).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75\/7 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118088 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 18837855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/26 + (-4)\/26. Suppose -m = -s*m. Suppose 3*a - 43 - 44 = m. Calculate the remainder when a is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866300 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 2, r: 5, y: 6, u: 2}. What is prob of sequence yr?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2383, -6890, -14397, -24898, -38387?\nAnswer: -54858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from aqxaaafaaqaaxa.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20161 + 89?\nAnswer: -20072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 29916?\nAnswer: 329076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o = -20*o + 22*o - 1984. Solve o*r - 62*r = s, 4*s + 4*r - 24 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 505.31025 to one decimal place.\nAnswer: 505.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3545 - 3733) + 104 + 1?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s - 56*s = 20*s - 1184200. Calculate the greatest common factor of s and 573.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4539525 and 300?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*i + 190*i = -197*i + 270 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*y - 270*y + 138*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 3:10 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12998614*b - 348 = -12998602*b for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 2. Let w be r(3). Let s = -3 - 3. Let d be 2\/2*s\/27. Which is bigger: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284730 is divided by 82.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca983 (base 14) in base 7?\nAnswer: -4111323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhhohfhshsshshh. Give prob of picking 2 f.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n**3 - 4*n**3 + 32*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 4*s + 2*s**2 + 0*s**2 - 11*s**2 in the form g + o*s + j*s**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 521*i**2 + 8*i + 9. Is d(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -241\/114 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2177*a**5 + 79040 - 79040 + 2975*a**2 wrt a?\nAnswer: 130620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/70 and -23\/154.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 6. Let h = 2 + 8. Let g = 5 - h. Let z be v(g). Which is smaller: 3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 50. Suppose v = a - 25 + 11. What is the greatest common divisor of a and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-130))\/(8\/(-5))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.5. Suppose -6*d = -9*d + 6. Let o be -3 + -1 + 9\/d. What is the biggest value in -2\/9, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 <= 176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -90. Suppose 10*j = -16 + l. Let v be 2 + 6 - (-1 + 0). Calculate the greatest common factor of j and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/9 and -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-3 - (4 - (-15 + 21))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-13)\/(-52)) - -16. Suppose 5*s - 22 = -m - 0, 3*s + m = 14. Solve 2*h + 18 = s*k, 5*h - 2*h - k = -a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687.872kg in milligrams?\nAnswer: 687872000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -931 - -933. Sort f, -1, -2\/7, -33 in ascending order.\nAnswer: -33, -1, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from {v: 4, r: 15}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + i**3 + 1 + (i**3 + 3*i**3 - 3*i**3)*(4 - 4 + 2) - 3*i**3 + 3*i**3 - i**3 - i**2 + i**3 + i**2 + 274*i + 100*i - 401*i + 85*i**3.\nAnswer: 88*i**3 - 27*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**2 + 234 + 2*f + f**3 - 234. Let o be u(2). Suppose -7*m + 28 = -o*m. Solve -c - m = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-87)\/4 + -1)\/8 and (-10728)\/(-1344) - 3\/(-8).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -95, -202, -341, -506, -691?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**2 + 3*j - 8. Let w(g) be the third derivative of g**5\/15 + g**4\/8 - 3*g**3\/2 - g**2 - 1453*g. Calculate 6*k(t) - 7*w(t).\nAnswer: 2*t**2 - 3*t + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - w = -10, -5*w - 16 = 3*f - 4*f. Let z = -4022\/3 - -1339. Which is the fourth smallest value? (a) 5 (b) -0.3 (c) f (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 719112, 719284, 719754, 720672, 722188, 724452, 727614, 731824?\nAnswer: 737232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o - 2. Let m be j(-20). Let q = -69 + m. Suppose 207 = 4*d - q. Calculate the remainder when d is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 703313, 703401, 703485, 703565, 703641, 703713?\nAnswer: 703781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 9970486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/45 - -41\/90. Let j = 1 + c. Let l = -4500.8 + 4501. Are j and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15977 - -15989. Let y = 4 + -10. What is the nearest to 0.1 in y, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -36*t - 42. Let z(p) be the second derivative of 37*p**3\/6 + 43*p**2\/2 - 18*p. Let h(r) = -4*l(r) - 3*z(r). What is the derivative of h(u) wrt u?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efev when four letters picked without replacement from tfttetevfvf.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 11*n**2 + 241*n - 2297. What is f(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10180*a + 837*a**2 + 10181*a - 165*a**2 + 556*a**2 + 1.\nAnswer: 1228*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 15*j**2 - 27*j - 11. Let o = -1257 + 1244. Give n(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (5 + -10 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**3 + 17*u**2 - 6*u. What is the lowest common multiple of 12 and h(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/72*(-27765)\/41956\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 23\/185998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4105, -2925, -14643, -31049, -52143, -77925?\n\"Answer: -2344*t**2 + 2*t + 6447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -589*d**2*z + 541*d**2 - 2*z**2 wrt z.\nAnswer: -589*d**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -95491.214 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 7*n**2 + n - 4. Let p be w(7). Suppose 2*y - 3*y = o, -p*o + y = 20. Put o, 1, -7 in decreasing order.\nAnswer: 1, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*v - 26*v. Solve -7*y + 5 = -2*y + 2*b, v = y - 3*b - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -990, -605, -220, 165, 550, 935?\n\"Answer: 385*m - 1375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/532328 and -93\/312343454.\nAnswer: 1249373816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6161 (base 7) to base 9.\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -7.481.\nAnswer: -7.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 406 + -81. Let o(q) = q - 198. Let a be o(0). Let t = z + a. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 150 = -24*f. Put -17, 3, f in decreasing order.\nAnswer: f, 3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 288*o**2 - 2596*o + 30. Calculate n(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:49 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160 + 112 - 486 + l**3 + 32 - 2*l**3 + 36.\nAnswer: -l**3 - 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1033, -1447, -2137, -3097, -4321?\n\"Answer: o**3 - 144*o**2 + 11*o - 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.50857t?\nAnswer: 8508570000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000567994295 rounded to six decimal places?\nAnswer: -0.000568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ccrhfcchwfhcfrrrfr?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d**2 - 5. Let z(l) = -4*l**2 - 3. Let w(q) = 3*f(q) - 5*z(q). Let a(x) = -2*x. Calculate w(a(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/13 and -73\/39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 51, -0.24 in decreasing order.\nAnswer: 51, 1, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 0*g**3 + 4*g + g**2 + 0 + 1\/12*g**4. What is the first derivative of i(b) wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -0.2, 749, -4.7 in ascending order.\nAnswer: -4.7, -3, -0.2, 1, 749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 4602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -320*c + 1. Let h be o(-1). Is 10 a factor of 22\/(-44) - h\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 144441333?\nAnswer: 144441342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccczzczcczzz. What is prob of sequence zzz?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*h**3 + 65*h**3 - 2 - 1 + 42*h - 10*h**3 - 29*h**3 in the form x*h**2 + l + q*h**3 + j*h and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gllnwbtnt. What is prob of picking 1 l and 1 b?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -3, 261, -5 in increasing order.\nAnswer: -5, -4, -3, 4, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701007999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**3 + 2*p**2 - 3346*p - 3812 wrt p.\nAnswer: 6*p**2 + 4*p - 3346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*x + 40 = 0, -a = -0*a - x - 5. What is the common denominator of 54\/119 and (-8)\/a - (-4757)\/4690?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*4\/24*4\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*z - 72*z + 176 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 229203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.48 (b) 1.9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1037\/(-2074))\/((-1)\/(-46))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*w - 1782 = -62*w + 531*w - 16054 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-64)\/416 + (-30)\/(-26))*-5. Let p(w) = -w**3 + 9*w**2 + 12*w + 10. Is 50 a factor of p(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (70 - 44)*1\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -458, -2 in descending order.\nAnswer: 3, -2, -458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 1. Suppose 3 = 3*k, -3*k + 4 = r - 5. Let q be s(r). Let v be 33\/(6 - 9\/3). Solve -5*t - 5*o - 9 = v, 0 = 3*t - q*o + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12454.059 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -320\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65465.1 + -65466.1. Let r = -29.9 - -33.16. Is r at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -529 - 1.929865409\nAnswer: -530.929865409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -6*g - 9, -2*i = i - 3*g + 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*x + 7*x - 3*x**3 - 17*x + 8*x wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 51 = 3*a, -4*a - 9 = 2*n - 49. Let u = n - 14. Sort -28, u, 3 in descending order.\nAnswer: 3, u, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s = -8. Suppose 4*w = -g - 5, s*w + 5*g + 1 - 8 = 0. Does 3 divide 2*((-11)\/(-2) + w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 22*t**2 + 9*t - 18. Is m(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-3\/8)*(u\/(u\/(u\/((u**8*u*u)\/u))))\/u*u*u\/u**(-6\/5) assuming u is positive.\nAnswer: u**(-217\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -16*v**2 + v + 2. Calculate j(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23789543 divided by 4?\nAnswer: 23789543\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/5 - 264*z**3 - 2649*z**2\/5 - 1326*z\/5.\nAnswer: 3*z*(z - 442)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 13. Let z be h(-13). Solve 3*m + m + 20 = z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30896 divided by -1.\nAnswer: 30896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**6\/2340 + h**5\/260 - h**3 - 15*h - 18. Let s(o) be the third derivative of z(o). Factor s(c).\nAnswer: -2*c*(c - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56604 is divided by 8086.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37971?\nAnswer: 3, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1257219 and 5142?\nAnswer: 2514438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 9:20 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1649.786655 to zero decimal places.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + i**2 + i + 1. Let x(d) = 170*d**3 + 33 - 83 - 3*d - 5*d**2 - 4*d + 42. Let z(o) = -5*v(o) - x(o). What is the second derivative of z(h) wrt h?\nAnswer: -1050*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 41. Suppose -40*a - m = -41*a. Find the third derivative of -a*i**2 - 4*i**2 - 17*i**5 - 4*i**2 wrt i.\nAnswer: -1020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/8, 2, -31, 6 in ascending order.\nAnswer: -31, -13\/8, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 5:28 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 + 778 = -9*x. Let o = x - -128. Suppose 13 = -2*t + o. What is the least common multiple of 8 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 23*i**3\/6 + i**2 - 3*i. Suppose -n + 4 = 2. Does 16 divide k(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 247?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*h**2 + (1 + 2*h - 1)*(6*h - 2*h + 3*h) + 5*h - 5*h + 2*h**2)*(-h**2 + 5*h**2 - 2*h**2).\nAnswer: 38*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41.73 - -42.23. What is the third smallest value in m, 0.014, -0.1, 3\/2, -1\/12?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 times 13001?\nAnswer: 858066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+1198714\nAnswer: 1198713.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1496322 * 0.086\nAnswer: -128683.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 652.8 - 653. Which is the nearest to -0.3? (a) -0.1 (b) -1 (c) 0.3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 5:34 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-12) - 24476\/(-2110).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-19209990)\/(-135))\/((-4)\/(-18)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 7:18 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -886*o = -641*o + 2205 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 757 - 760. Let w(n) = 13*n**3 + 3*n**2 - 4*n. Let l(t) = -t**3 - t**2 + t. What is d*l(y) - w(y)?\nAnswer: -10*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.20250039 rounded to four dps?\nAnswer: 1.2025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-4 - 1)) + (-5 - -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/7 (b) -0.4 (c) -12614 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t**2 - 9*t - 6*t**2 - 2 - 5*t**2. Let i be h(-4). Suppose p = 3 + i. Calculate the least common multiple of 29 and p.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-6)\/((-120)\/(-4))). Suppose p + 3 = 0, l*p = -4*a - 1280 + 5097. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o + 2*o + 4*o**2 + 15 - 13. Let r be n(1). Let d(b) = -12*b + 1. Let u be d(-2). Calculate the greatest common divisor of u and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-24) - 177\/(-18). Suppose 2*a + 2 = z. Calculate the smallest common multiple of a and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -62, 32, 320, 832, 1598, 2648?\n\"Answer: 5*d**3 + 67*d**2 - 142*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 98?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -191\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -771 = -57605*j + 58376*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 424\/7 - 60. Let g = 0.072 - -0.328. Put m, 0.5, 0, g in descending order.\nAnswer: m, 0.5, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, m: 6}. What is prob of picking 3 m?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.040774 to 3 decimal places.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 + 21*p**2 + 4*p + 86. What is l(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 6. Let i be ((-126)\/u)\/(-3 + -1 + 2). What is the derivative of -i + 30*s + 24*s - 21*s wrt s?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - a**2 + 35*a**3.\nAnswer: 35*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 8*q**2 + 11*q - 16. Let b be t(9). Let j be 2\/(-10) + 2 + -1. Let -2\/5*l**b - 2\/5 + j*l = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, m: 15}. What is prob of sequence qqmq?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -897 by -39.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8297*m**2 - 8297*m**2 - 11*m**3.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -571763, -571764, -571761, -571754, -571743, -571728, -571709?\n\"Answer: 2*d**2 - 7*d - 571758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22225398, 22225331, 22225264?\nAnswer: 22225197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-11)\/(-4))\/(5\/(-8)*312\/390) and (-141)\/(-21)*1\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**14*t*t))**(-6\/19)*(t*t**(-16))**27 assuming t is positive.\nAnswer: t**(-7611\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 158\/(-237)*(-6)\/(-22)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -7*c**3\/3 - 5*c + 7. Differentiate z(t) with respect to t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j - 8*j - 4*j)*(j**3 - 2*j**3 - j**3) - j**4 + j**4 - j**4 to f*j**4 + i*j**3 + g*j**2 + l*j + z and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123.65 or -220?\nAnswer: -220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*t + 157*t = -176 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14593 + -14594.3. Which is the second smallest value? (a) -0.4 (b) l (c) -24 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.528 - 12.228. What is the fifth biggest value in 1, 2\/9, 123, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 + 6*b**2 - 2*b**2)*(-20 - 24 + 35).\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*n + 4. Suppose 2*y - 101 = 5*b, -5*y = -3*y + b - 71. Let h(a) = y*a**3 - 3*a**2 - 20*a**3 - 20*a**3. Give h(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869 (base 14) in base 16?\nAnswer: 67d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12 + 4)*(-31)\/(-4). Let k = l + 153. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4863808?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -140c97a - 0?\nAnswer: -140c97a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 10*n + 2. Let t be f(-9). Suppose -5*l + 49 = -t. Solve -2*v + l = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49\/60 - 5\/12. Let r be 2\/17 + (-8)\/68. Find p such that 2\/5*p + 0 - z*p**3 + r*p**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 26292?\nAnswer: -26290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:08 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*m + 10, -3*m - 30 = -2*b + m. Suppose 3*n - b*n - 2 = -4*z, 6 = -3*z - n. What is the closest to z in 3, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1468?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*u - 613 + 613)*(u + 3 - 3).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/102270 and 145\/18.\nAnswer: 306810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 9167731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 12:27 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**4\/3 - 22475*c**3\/3 - 3406910*c**2\/3 - 23015920*c\/3 - 12997600 = 0.\nAnswer: -140, -4, -3, 4642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 5*v + 1. Let m(n) = 4*n**3 - 11*n + 2. Give 3*m(u) - 7*o(u).\nAnswer: -2*u**3 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 - 2*p + (-2 + 4 - 3)*(-3 + 2*p + 3) - 2*p - 3 + 3 + 2300*p + 715 + 111 - 2301*p to x + q*p and give x.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 2 + 3)*(0 + 0 + 2*l) - 29 + 6*l - 2*l - 2*l)*(l + l + l)*(0 - 2 + 0) as r*l**2 + q*l + j and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d - 129 = 19*d. Sort 1, d, -15, -1 in decreasing order.\nAnswer: d, 1, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -11890087?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 33*y - 3. Let i(s) = 21*s**2 + 222*s - 21. Let p(h) = -4*i(h) + 27*w(h). Suppose -b + 3 = -2. Let o be (15\/2)\/b*2. What is p(o)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1385 divide 53188155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.93, -9\/5, 0.1, -74?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u - 3*j - 81 = 0, 4*u = 3*j + 306. Find the first derivative of 35 - 11*k**3 - u + 35 wrt k.\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -8983245.\nAnswer: 7\/2994415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5872194 and 300240.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -56*i**2 + 5*i - 1. Let h be q(2). Let s = 219 + h. What is the smallest common multiple of s and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 857192622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -1\/6*p**2 - 11 - 1\/6*p**3 + 0*p - 1\/24*p**4. Factor d(g).\nAnswer: -g*(g + 1)*(g + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*f**3 - c**3*f**2 + c**2*f**2 - 1424*c*f**4 - 2*f**3 - 13*f**2 wrt f?\nAnswer: -12*c**3 - 34176*c*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4322342, -4322337, -4322332?\nAnswer: -4322327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 0 - 3)*(-x**3 + 5*x**3 - 3*x**3).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 6*j**2 - 133 - 8\/3*j**3 + 2\/3*j**6 - 4*j**4 + 0*j**5 + 8*j. Factor a(h).\nAnswer: 4*(h - 2)*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbjbwbjwbc. What is prob of sequence bc?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7*a = 3*t + 194, 3*a - 126 = -3*t. What is a rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-148350)\/(-43))\/(-30))\/5.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 - 119.5. Let g = 122 - 483\/4. Which is the nearest to x? (a) -2\/15 (b) g (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190 + 417. Let p = t + -604. Solve p*d = d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*s - 206312 = -120*s - 94*s. What is the highest common factor of s and 246?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -2*j + 3*j**3 - 5*j - 1 + 0*j. Let r(b) = 5*b**2 - 4. Let i be ((-96)\/(-27) - (-8)\/(-36))*(-30)\/(-20). Give i*r(h) - 3*p(h).\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -70) + -1 + -38\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176 + 221)*((-16)\/(-28))\/(20\/28)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 c, and 1 o when three letters picked without replacement from jbppcou?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**4\/24 - n**3\/4 + n**2\/2 + 40*n. Factor z(t).\nAnswer: (t - 2)*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2532067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 2*x - 2*x + 2*x. Give m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1.3. Let r = 0.30822 + 0.19178. What is the nearest to 5 in r, -5, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 571 and -0.05?\nAnswer: -28.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1409)\/(-9)*3 + (-3)\/(-9)?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 604*f - 3657. Calculate t(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*-1)\/sqrt(6).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 8 - 45*c**4 - 2*c - 11*c**4 - 14*c + 13*c as o*c**4 + f*c**2 + m*c**3 + z + b*c and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 + 5.04. Let i = h + -15. Let u = i - -9.99981. What is u rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*y + 3*d, 222018*y + 5*d + 19 = 222019*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 34?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 8 - 8)*(c**3 + 5*c**3 - 3*c**3)*(62 + 48 - 13).\nAnswer: -582*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -21*n + 2. Let w(m) = 7*m. What is w(d(p))?\nAnswer: -147*p + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 3\/7, -9, -0.3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agnffzsn. Give prob of picking 1 n, 1 f, 1 g, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 + 99*w**2\/2 + 6239*w\/4 + 3021\/2.\nAnswer: (w + 1)*(w + 38)*(w + 159)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 26 (c) -4 (d) -0.2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 3. Let r(t) = 6*t - 16. Let m(j) = -2*j + 5. Let v(l) = -10*m(l) - 3*r(l). Suppose -4 = -5*g + 11. Determine g*v(s) - 2*z(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -3\/1340, 2\/7, 2, 0?\nAnswer: -3\/1340","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 36 + 4. Let c(x) = 3*x**3 + 3*x**2 - 11*x + 9. Let n be c(p). Suppose 6*h - n = -h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145349 divided by -656?\nAnswer: -145349\/656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**2 - 8*i**2 - 3*i**2.\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10 - (10152\/(-810) + 14)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 472a (base 13) to base 8.\nAnswer: 23427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 5*r + 0*r)*(1 + 2*r**3 - 1) + (-9 + 0 - 1)*(3*r**4 + r**4 - r**4).\nAnswer: -34*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29567, 29569, 29571, 29573, 29575?\nAnswer: 29577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 2679.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 23, 44, 73, 110?\n\"Answer: 4*c**2 + c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 + 1129. Calculate the highest common divisor of 63 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/8008 and 125\/728.\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -554*s - 6562. Let l be o(-13). Calculate the greatest common factor of l and 2080.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3, -6*h = 5*b - h - 40. Suppose 2*k - 58 = -2*k - a, 5*k + 5*a = 65. Suppose 5*q = b*o - 0*o + k, -2*o - 9 = -3*q. Round o to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000729558447 rounded to six decimal places?\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3838*b**3 - 2*b**2 - 17*b - 8*b**4 + 6*b**4 + 2 - 3838*b**3 + 4 to l*b**4 + y*b**2 + j*b + m + d*b**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -118*r + 5658. What is the tens digit of q(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24578.\nAnswer: 2, 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7563 (base 10) in base 15?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 193, 276, 341, 382?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**4 - 2*s**2 - s. Let k(m) = 4*m**4 + 42*m**3 + 39*m**2 + m. Let i(t) = 3*k(t) + 21*l(t). Factor i(w).\nAnswer: 3*w*(w + 1)*(w + 3)*(11*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 12*r**2 - 1193. Let l(a) = 45*a. What is i(l(y))?\nAnswer: 24300*y**2 - 1193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 74334 and -397452?\nAnswer: 471786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 5*s - 4. Let x(l) = -l**2 + 4*l + 3. Let k = -21 + 19. Let m(p) = 2*p**2 - 12*p + 7. Let t be m(5). Determine k*c(u) + t*x(u).\nAnswer: -u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3190, -3194, -3202, -3214, -3230, -3250, -3274?\nAnswer: -3302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/(-18) - (-12)\/(-54). What are the prime factors of (-114)\/95*35\/b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121021020101 (base 3) to base 10.\nAnswer: 320203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20303 and 4485778?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 2, -8 in increasing order.\nAnswer: -97, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 2, u: 4, t: 1, g: 1, f: 2}. Give prob of picking 1 u, 1 g, and 1 f.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.078 + 0.178. Let t = -1.5 - -1.9. Let d = t + h. Which is the nearest to -2\/3? (a) 0.3 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n - 3. Let a(l) = -6*l - 4. Let g(q) = -4*a(q) + 5*j(q). Determine g(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -0*o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -341*f - 5727. Calculate the least common multiple of 182 and a(-17).\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 3*c - 16. Determine h(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1427050 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) -88451 (b) 1 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -28120 less than or equal to -28082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5*sqrt(70)*-2 + -6*sqrt(70)*2))\/(sqrt(70)\/sqrt(7)*-2 + sqrt(120)\/(sqrt(12)*-4)).\nAnswer: 176*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573\/(-51570)*1\/(4\/(-6))*(-10)\/(-12)?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**3\/3 - 190205*c**2\/3 + 7626200*c - 228966000 = 0.\nAnswer: -38161, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 391941 and 231.\nAnswer: 2743587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (-3 - (12 + 11 + (-17 - 1)))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -525031130 + 1?\nAnswer: -525031125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 2*o**2 + 5*o - 3. Determine u(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7375*l - 1 - 2423*l - 2.\nAnswer: -9798*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -69. Let u = 26 - q. Let l = -4.94 - 0.06. Put l, -1, u in increasing order.\nAnswer: u, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*f + 22 = -6, 4*r = -2*f + 24. Let q be -44*r\/(-32)*(2 - 0). Find the third derivative of -25*b**5 - 14*b**5 + q*b**5 + 12*b**2 wrt b.\nAnswer: -1020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 8:26 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.0303 (b) 69.6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 18 = -18. List the prime factors of 3\/(-1) + 1 - q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131721 is divided by 938?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 3:49 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 13) to base 5.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esssseaesssesis. What is prob of sequence ie?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 - 27.8. Let a = 26 + i. What is the third biggest value in -0.1, 3\/5, a, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34003 is divided by 1043?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-6)*(-56)\/(-84).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - h - 30. Suppose -h = -12*j + 7*j. Determine a, given that 4*a**2 + 15*a**2 - 3 + 8*a**j = 0.\nAnswer: -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 3. Let t be h(0). Let b be (-2 - -4)\/((-3)\/(-9)). Let i = b + t. Calculate the smallest common multiple of 8 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17325 - 9518. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/1547*7650\/1800?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2352*x + 6621*x - 80919 = 247387 - 55090 for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*i + r - 0*r, -i - 4*r = 17. Solve -i*s + 8*s + 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*u + 938248 - 938248.\nAnswer: 70*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1333, 11083, 37549, 89089, 174061, 300823, 477733, 713149?\nAnswer: 1015429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(84) + -4*(sqrt(84) - (sqrt(84)*-3 - sqrt(84) - sqrt(84))) + sqrt(84) - sqrt(84) - sqrt(84) - sqrt(84)) + sqrt(84))\/sqrt(12).\nAnswer: 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-33) - (-8)\/(-66). What is the nearest to -45 in -2\/13, l, 8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 948*t**4 - 64*t**3 - 307768*t + 4 wrt t?\nAnswer: 11376*t**2 - 384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (240\/(-56))\/(-3) + 34579\/3171\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*f**3 + 16*f**3 + 8*f - f**3 - 32*f**2 - 2*f**3 - 6*f**4.\nAnswer: -2*f*(f - 2)**2*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -382413 (base 13) to base 10\nAnswer: -1347453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 858 divided by -286.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 208.\nAnswer: 21\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -217\/3. Let z(w) = -3*w**2 + w. Let k be z(-1). Let r = 5 + k. Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/2)\/(-10))\/(54\/1800*-10)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26 + 12*v - 26 + (0 - v + 0)*(5 - 1 - 3) + v - v + 2*v + 3*v - v - 5*v - 2*v + 0*v + 0*v + (-2 + 6 - 3)*(2*v + 0 + 0) - v + 2 - 2.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 1457 + 0*l + 3193 - 1736 - 28*l**2.\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -7*a**4\/8 - 6*a**3 - 30*a**2. Is i(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488293.\nAnswer: 13, 37561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*l + 2, -5*z + z = 5*l. Suppose 4*d - 3*n = 12, d + 4*d - 15 = -z*n. Suppose m - 11 = -2*v, m = -d*m - 4. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11036076, -11036066, -11036056, -11036046, -11036036, -11036026?\n\"Answer: 10*w - 11036086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 4. Let j(o) = 3*o - 17. Let w(i) = -j(i) - y(i). Calculate the remainder when 80 is divided by w(-10).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g - 3*g + 26*g**2 - 3*g.\nAnswer: 26*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:04 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 0.183.\nAnswer: -0.00366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0 - 9 = -3*f, -6 = s + 2*f. Let p(u) = -3403*u + 3. Let m be p(s). Let d = 1385 + m. Round d to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + 2)\/(-2) - -7. Let j be h\/6*9\/3. Find the third derivative of -8*l**j - 2*l**4 - 4*l**2 + 3*l**2 + 4*l**4 wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6170.062ng to tonnes.\nAnswer: 0.000000000006170062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -2\/3*t**3 + 0*t**2 - 5\/12*t**4 + t + 0. Find the second derivative of o(a) wrt a.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p - 118. Let l(o) = -15*o + 470. Determine 22*c(z) + 6*l(z).\nAnswer: -2*z + 224","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*38\/88 - 2\/11\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*r**4 - 27*r**4 - r - 53*r**5 + 0*r**5 + (r - 4 + 4)*(0*r**4 + 4*r**4 - 3*r**4) - 2*r**5 + 3*r**2 - 3*r**2.\nAnswer: -54*r**5 - r**4 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-5))\/((-22)\/(-55)). Suppose 3*z = n*z - 1011. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, 0.5, 28, -101, 5, -13?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 27*n**3 + 58*n**2 + 95*n. Differentiate j(f) wrt f.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q**2 - 3*q - 1. Calculate s(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8 and 1?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:27 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-8))\/(((a\/(a*a**(-1\/13)\/a))\/a)\/a)*((a**(-2\/3)\/a)\/a)\/(((a**(4\/9)\/a)\/a)\/a*a*a) assuming a is positive.\nAnswer: a**(-958\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -43?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2884, 2883, 2882, 2881, 2880, 2879?\n\"Answer: -k + 2885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10793 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -77. What is the smallest value in -3, v, 2\/17, -1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.305493 rounded to 2 dps?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6440, 27368, 62256, 111110, 173936?\n\"Answer: m**3 + 6974*m**2 - m - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z\/(z*z**(2\/7)))\/z*z*z))\/z)**48*z**(-1\/9)\/(z\/(z*z**(-1\/5)*z)*z*z)*(z\/(z**(1\/3)*z))\/z**(2\/7)*((z**1*z)\/z)**(3\/10) assuming z is positive.\nAnswer: z**(-52867\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 11*m**2\/2 - 6*m - 28. Does 12 divide n(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -64\/5149 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67.3 + -60.4. Let c = 34.1 + -36. Let v = a + c. What is the third biggest value in -5, -0.3, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + 2 - (-9 + 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (2 + -4 + -1494). Suppose -3*u + g = 4*c, 2377 = 4*u + 2*c + 397. Let m = u + -259. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179830179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*g**2 + 2270 + 276*g**2 + g - 2295 - 10*g wrt g.\nAnswer: 674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**2 + 7*y**3 + 2*y**2 + 4*y**3 in the form a + x*y**3 + l*y + m*y**2 and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/371330 and -19\/852.\nAnswer: 2227980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2306690, 4613384, 6920066, 9226730, 11533370?\n\"Answer: -s**3 + 2306701*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - -0.6. Let t = -0.2 + q. Let z = 7\/121 + -142\/363. Which is the closest to t? (a) -3 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 24*m + 49. Let a be q(22). Suppose -34 = -12*b - a*b. Let x be (-4)\/1 - -2 - -2. Solve x = -5*s + 7 - b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/4*(10\/45 + (-2852)\/2790)*34?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -47*n**2 - 243*n. Let l be g(-5). Solve 8*m + 0 - l = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i + 3*i)*(4 - 4 - 1) + (-5 + 1 + 1)*(-11*i - 4*i + 2*i) + (9*i + 18*i - 22*i)*(0 - 2 + 3)*(1 - 3 + 3).\nAnswer: 42*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 404430 divided by -17\nAnswer: -23790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00307 times 1?\nAnswer: -0.00307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -127 - -2742388?\nAnswer: 2742261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/105 + 8\/21. Factor 0 - y*k**2 - 2\/5*k**3 + 4\/5*k.\nAnswer: -2*k*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7086 - -7107.028. Let i = 21.8 - t. What is i rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 18 - 86. Suppose 0 = -4*d - h + 60, d - 5*h = -d + v. Suppose 10 = 2*p - 3*s, -3*p + 6*s = s - d. Solve x + 6 = 2*u + p, 5*x - 13 = -u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*w + 214*w + 0*w**3 - 4*w**3 - 104*w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2314*f - 42252 = 13284 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b. Let z(g) = 474*g. What is z(p(x))?\nAnswer: -2370*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3274, 3285, 3300, 3319?\n\"Answer: 2*t**2 + 5*t + 3267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 8, j: 1, g: 6}. What is prob of sequence ja?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.1084641 decades?\nAnswer: 0.001084641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 20100.\nAnswer: 80400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -15*j**2 + 115 + 9*j**2 + 7*j**2 + j - 24*j. Calculate z(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3944 minus -0.64113?\nAnswer: 0.24673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 2. Let h = 4 + q. Suppose -h*p - 20 = -7*p. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 3*g**2 + 5*g + 16. Let h be f(-3). Sort -4, -9, 4, h.\nAnswer: -9, -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.260346 centuries to decades.\nAnswer: 22.60346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = -199*l - 3*l + 174460. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -49, 4, 4\/3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145 - -147. Suppose -s*w + v = 2*v - 6, 5*w - 17 = -2*v. Suppose 2*x = -0*x + 4*o + 618, -o + 1534 = w*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922742 is divided by 13702.\nAnswer: 4708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from rxrxrqxxxxqr?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -0.5, -7, -2.229697 in descending order.\nAnswer: 0, -0.5, -2.229697, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366881.5um to nanometers.\nAnswer: 366881500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 0*v**2 - 2*v**2 + 4*v**2. Let z(m) = -m + 1. Let c(p) = -6*p + 5. Suppose -3 = -4*w + 5. Let o(t) = w*c(t) - 10*z(t). What is o(n(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**4\/13 - 12250*l**3\/13 - 30582*l**2\/13 + 55116*l\/13 + 110160\/13 = 0?\nAnswer: -3060, -3, -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(64)*1 - sqrt(64)))\/sqrt(8))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41623 and 18283?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 74.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10393086 and 99297?\nAnswer: 31179258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v = -20. Let j(i) = -11*i**4 - 3*i - 5. Let z(n) = -16*n**4 - 5*n - 7. Let s(b) = v*z(b) + 7*j(b). What is the second derivative of s(g) wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16323533, 32647067, 48970601?\n\"Answer: 16323534*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**5\/60 - g**2. Let q(a) = 3*a - 6. Let j be q(4). Let y(v) = -3*v**2 + 6 + v**2 - j. What is n(y(o))?\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/21)\/((-21)\/(-147))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m - 3. Let k = -21 + 13. Let g be r(k). Suppose -6*c + 0*c = -30. Solve -7 = -c*d + g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 264091?\nAnswer: 528182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 104126 (base 9) to base 8\nAnswer: 171166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/2 - 125*n - 1701\/2 = 0. Calculate n.\nAnswer: -243, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 3. Let o be p(0). Let a be 3\/9 + 11\/o. Suppose a*z + 4*h - 18 = 2*h, -25 = -5*h. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/11 + 6*o**2\/11 + 8*o\/11.\nAnswer: -2*o*(o - 4)*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 4:55 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -0.01.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + -85. Solve x = 3*x - 5*t + j, x = -4*t - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*a + 17152 = -1057*a + 52072 for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(891) - (-1 + sqrt(891)))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - q**2 + q + 2. Let w be r(0). Suppose 114*s - 312 = 75*s. Calculate the highest common factor of w and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 266014217?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 2*s**3 - 3*s**2\/2 - 4*s - 17246. Suppose 9 = -2*d + 1. Let m(t) = -7*t**2 + 4*t + 5. Determine d*m(k) - 5*j(k).\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -0.5, 24, -0.2 in decreasing order.\nAnswer: 24, 1\/7, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:59 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 21. Sort n, 2, 0 in decreasing order.\nAnswer: 2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 215 - 240 = 0. Let f(o) = 6 - 7 - w - o - 7. Determine f(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 7 = -8*l, -3*l + 283 - 286 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11276 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 0*k**5 + 0 - k + 0*k**2 + 4\/105*k**6 + 0*k**4 - 2\/147*k**7 + 0*k**3. Factor h(g).\nAnswer: -4*g**4*(g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -50.3, 0, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + a**2 + 2. Let f be s(0). Let d(o) = o**3 - 5*o**2 + 3*o - 1. Let j be d(4). Let l be (j + 2)\/((-3)\/3). Solve -l*m - f - 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (917\/1048)\/((-3)\/24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1477037 and 6?\nAnswer: 8862222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58397 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*t - 5*j, 11 = -5*t - 3*j - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7952238 divided by -8.\nAnswer: -3976119\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 = -0. Let c = -8 - -5. Let w = c - 0. Which is greater: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11048 - -37155. List the prime factors of r.\nAnswer: 26107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 = 5*a + 5*p - 244, -2*p + 8 = -a. Put -2, 0, -0.013, a in decreasing order.\nAnswer: 0, -0.013, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 k when four letters picked without replacement from {k: 6, t: 6}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -16 - (-10 + 8). Suppose -3*a - 2*k = -6*a + t, 0 = -5*k - 20. Let j be 1\/a + 8\/3. Solve 0 = -j*b - 0 - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 0*o**3 - 2\/1575*o**7 - 1\/2520*o**8 - 83*o**2 + 1\/300*o**6 + 0 - 1\/45*o**4 + 0*o + 2\/225*o**5. Factor d(x).\nAnswer: -2*x*(x - 1)**2*(x + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r + 6. Let h = 1476 + -1463. Suppose 0 = -h*m - 207 + 402. Solve r*w = -w - m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1963*t**3 - 1899*t**3 + 3841*t**3.\nAnswer: -21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 5*o + 2. Let y be (4 + -3)\/(1\/5). What are the prime factors of q(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11951582 and 54694.\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 6 = -2*h, 0 = 4*q + 4*h - 0*h - 28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-11 + (-12)\/(-4)). What is the remainder when 116 is divided by 182\/t + 6\/9 + -1?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/9, 0.1, 0, 3949 in decreasing order.\nAnswer: 3949, 2\/9, 0.1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbl when three letters picked without replacement from bgtglaagbb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -49, 10, -3 in decreasing order.\nAnswer: 10, -2, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3903993565?\nAnswer: 5, 780798713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from surhru.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 3*i - 28, 2*t + 23 = -3*t + 2*i. Let p(o) = o**3 + 6*o**2 + 5*o + 2. Let w be p(t). Which is the third biggest value? (a) w (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2 - -3) + (1 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.56211t in micrograms?\nAnswer: 20562110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19102?\nAnswer: 2, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 33, 5, -3 in decreasing order.\nAnswer: 33, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2217 = -x - 0*x, x + 2760 = 5*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29806776 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 372 and 59855916.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 27*j - 190. Is x(-6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1829 + 859 + 601*w - 1251*w + 650*w - 5369*w**3 wrt w.\nAnswer: -16107*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 - 248704?\nAnswer: -248730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62 and 2.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 + 7?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40389 - 40400. Let r(m) = -10*m**2 - 3. Let x(b) = -19*b**2 - 5. What is n*r(w) + 6*x(w)?\nAnswer: -4*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + s + 20. Let r be p(0). Let w be ((-12)\/5)\/((-6)\/r). Let z be 0 + (-5)\/(-1)*1. Solve -z*y + 3*y = w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/26 greater than or equal to 126.987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(396) - (-1 + sqrt(396)))**2 + 1*-2*sqrt(396) + sqrt(396))*-1.\nAnswer: -6 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (4 + -14) - (-33 + 32)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-591)\/15 - 4\/(-10)*1. Let h = n - -39. Let y be h\/(6 - 1)*2\/6. Sort 2, 1, y, 3.\nAnswer: y, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by -1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -223*x + 223*x + x**3 + 597*x + 5*x**3 - 4*x**3 to the form y*x + d*x**3 + o*x**2 + s and give y.\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 862089.68 to the nearest 100.\nAnswer: 862100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5098 or -5104?\nAnswer: -5098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 8:37 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.28 - -0.01. Let t = 0.09 - d. Let c be -6 + 2 - 38\/(-10). Is c at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 5:29 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -1, -3, 8 in increasing order.\nAnswer: -3, -2, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*r - 5*b, 0*r - 2*r = 4*b. Suppose -265 = r*d - 10317. Suppose -d = -18*u + 4*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(2 - 3 + 2)*(5*l**4 + 24*l**2 - 24*l**2).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyduydadafdau. What is prob of picking 2 d, 1 a, and 1 u?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 233*h + 5575. Calculate m(-20).\nAnswer: 915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, w: 2, q: 1, i: 1, g: 1, c: 1}. Give prob of sequence gq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1194112376 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1733\/(-2))\/(14 - (-783)\/(-54)) is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2766 + -0.1?\nAnswer: 2765.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 321*h**4 - 193*h - 1.\nAnswer: 3852*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123505.279412 - 0.279412. Let p = 123504.742833 - l. Let x = 0.257 + p. What is x rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 - 2855*x + 2*x**2 + 2890*x + 73.\nAnswer: 2*x**2 + 35*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1325*p**2 - 620*p**2 + 2485*p**2.\nAnswer: 3190*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-200)\/408 - 6*1\/9 and -47\/68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15575356.\nAnswer: 2, 67, 89, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -115*m**2. Let d(r) = 114942*r. Determine d(p(y)).\nAnswer: -13218330*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine quarters of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2616 - 2618. What is the third smallest value in -1, -11, -7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxyx when four letters picked without replacement from ywxyxwxwx?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + -4.2. Let n = -2406 - -2410.852. Let x = n + r. What is x rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + (sqrt(384)*-2 - sqrt(384)))\/(sqrt(3) + sqrt(3) + sqrt(6)\/(-1*sqrt(2)) + sqrt(3)))**2.\nAnswer: 529\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + 81 + (1 - 18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.167? (a) 3\/5 (b) 11 (c) -1\/4 (d) -3 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1757*d**3*m**2 - 2*d**3*m*u + d**3*m - 168*d**2*u**3 + 48*d - 20*m**2*u**3 - 1 wrt m?\nAnswer: 3514*d**3 - 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -22*s + 110. Determine g(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 0.747, -0.7, 3\/8?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 442584720 rounded to the nearest one million?\nAnswer: 443000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 220291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21276688?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31\/20 + -9\/5. Let q = 9.365 + -9.3. Let s = q + -0.165. Which is the nearest to 1? (a) i (b) -6\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698654 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452736457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -82, -120, -158, -196, -234?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 350417 < 350585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 + 39*z**2 - 20*z + 35. Let g be n(19). What is the highest common factor of g and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 10*m**3 - 12*m**3 + 15.\nAnswer: -2*m**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z - 482 - 573 + 1055.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254279 is divided by 254230?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t + 6. Let z = 5 + t. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3315331 = -163*q + 5148133 + 6235698. List the prime factors of q.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737381653 to the power of 1\/2, to the nearest integer?\nAnswer: 41682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1519 divided by -16763.\nAnswer: 1519\/16763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1054 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52143635424*h**2 - 52143635424*h**2 - 4*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3750 - 1455. Find the common denominator of u\/350 - 1\/5 and -1 + 2 - 333\/48.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvjxvuj. What is prob of picking 2 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*g*m**2 + g + 40*m**2 + 3*m wrt g?\nAnswer: -12*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 645378*v - 10971431. What is h(17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 93?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/10591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(sqrt(891) - (sqrt(891) + 1) - sqrt(891))*-2)**2 + 0 + 5*(sqrt(891) + sqrt(891) + (sqrt(891)*1 - sqrt(891)))**2 + 1.\nAnswer: 1152*sqrt(11) + 74905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -893 by 4.\nAnswer: -893\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2024\/154)\/((-4)\/(-7)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (14001*x - 35 + 35 - 7073*x + 12976*x)*(-x**3 + 2*x**3 + 0*x**3) in the form w*x**4 + g*x + f*x**3 + i + p*x**2 and give w.\nAnswer: 19904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o - 1. Let m(y) = 12*y - 51. Determine m(n) - 3*w(n).\nAnswer: -9*n - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000951037 to seven dps.\nAnswer: 0.0000951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -190, -248, -350, -514, -758, -1100, -1558?\nAnswer: -2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 384783 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 o when three letters picked without replacement from {l: 8, a: 5, h: 2, o: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*r - 48 = 0. Suppose 1 - r = -7*n. Is 3 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1335 + -1338. Which is the nearest to 0.2? (a) -1 (b) -5 (c) 0.2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a - 5*a + 3*a + 6*a - 3*a - a + (0 - 3 + 5)*(2 - 2 + 4*a) - 2*a - 5 + 5.\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5 + 132*x**4 + 2536*x**3 + 13980*x**2 - 16650*x = 0.\nAnswer: -37, -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qihjq. What is prob of sequence qjqi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4184 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 4*y**2 - 3*y**3)*(0*y + 0*y - 2*y**2) + (5*y**3 + 6*y**3 - 2*y**3)*(2*y**2 - 2*y**2 + 7*y**2).\nAnswer: 69*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 2, -3, -3\/2 in ascending order.\nAnswer: -41, -3, -3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + 19 + -20\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 g, and 1 s when three letters picked without replacement from {g: 3, s: 5, m: 4, i: 3, t: 4}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0 + 1\/2*u**3 + 0*u - 2*u**2 - 1\/8*u**4. What is the tens digit of v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*9\/6)\/((-18)\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-2) - (-4 - -2). Let t be 21\/21*(1 - f). Suppose -2*d - 2*d + 2*c = 32, t*c = 5*d + 40. Which is bigger: d or -9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197971 + -1740?\nAnswer: 196231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -895283, -1790568, -2685855, -3581144, -4476435, -5371728, -6267023?\nAnswer: -7162320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + 0.6. Let t = 0.195 + s. Round t to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 132 = -3*c, -5*c - 3 - 2 = 0. Let m = 185 + b. What is m rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 5*x**2 + 7*x - 2. Let v be f(6). Suppose 15 = k + 3*n, 4*n - 5*n - 8 = -v*k. Let y be 10*((-6)\/10 + 1). Sort k, y, -3 in decreasing order.\nAnswer: y, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6461 + -142081\/22. Let u be (-2)\/(-315)*(-5)\/((-12100)\/(-1867585)). Let s = -1\/7623 + u. Find the common denominator of v and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*10 + 6\/(-2). Calculate the remainder when 72 is divided by ((-1)\/1)\/((-117)\/k + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/(-3)*4\/(-15)*(-981)\/327?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2 = -4*v, -6 = v + 2*l - 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/18 + 4 - (0 + 2). Let i = -2.5 + 3. What is the third biggest value in b, i, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6259029974 - 5593?\nAnswer: -6259035567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/30)\/j**(10\/9)*(j\/((j**(2\/33)\/j*j)\/j))**(-2\/55) assuming j is positive.\nAnswer: j**(-2501\/2178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2 = -v, v + 5*z = 8 - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 6 (b) 18 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1213*i + 71584. What is v(-59)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-2) + ((-15)\/(-5))\/6. What is the derivative of -23*n - 2 + o*n + 2 - 1 wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1 (c) 0.4 (d) -18 (e) 0.02975\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 4*o**2 - 4*o + 1. Let u be p(-3). Let v = 65 - u. Suppose h + 0*h = v. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281235 a multiple of 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**10\/211680 - i**9\/105840 - i**4\/12 + 4*i**2. Let f(j) be the second derivative of u(j). Find y, given that f(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 2\/23, 34?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1264.6953629 + 0.042.\nAnswer: 1264.7373629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**4\/12 + 2*p**3\/3 - p**2. Suppose 0 = 5*z + 28 - 3. Let r(u) = 2*u - 12 + 32 - 15. Determine z*n(b) + 4*r(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 v when three letters picked without replacement from vzvt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13994061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i. Let k(g) = 2*g**2 - 349. Give k(y(l)).\nAnswer: 72*l**2 - 349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -5)*(-1 + 2). Let v(m) be the first derivative of -m**2\/2 + 5*m - 11. Let d be v(w). Solve d = 5*o - 9 - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2491.487 + 76.427. Let x = 2440 + n. Round x to zero dps.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*k - 6. Suppose -1 = -4*w + k*a + 2, -1 = a. Let -2\/9*f**3 + 0 + w*f - 2\/9*f**2 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**6\/120 - g**5\/5 - 7*g**4\/8 + 11*g**3\/6 - g**2 - 79. What is the least common multiple of 77 and r(-10)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (3 + -1)\/1. Let r = -18 - -24. Let s be (r\/(-5))\/((-3)\/40). What is the highest common factor of s and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-264) + ((-80)\/(-198) - 14\/63)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -749, -6, -3 in decreasing order.\nAnswer: 0, -3, -6, -749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 22*q**5 + 6*q**4 + 9*q**2 - 6. Let v(p) = 23*p**5 + 5*p**4 + 9*p**2 - 5. Let u(a) = -6*v(a) + 5*y(a). What is the third derivative of u(n) wrt n?\nAnswer: -1680*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*t + 342 = -4*x + 68, 0*t + 3*t + 2 = 4*x for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*i**2 - 141*i wrt i?\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l - 5. What is a(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103487.\nAnswer: 239, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-2\/5)*j)**(-11\/7)\/((j**(-7\/4)*j)\/j*j**(-9\/7)) assuming j is positive.\nAnswer: j**(-323\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 times -4.08?\nAnswer: -93.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.4, -5, -13?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57846610961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12444 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 8*m + 17. Let o be r(2). Solve v - o = -0*v - 5*x, 4*v = x + 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/(-357)*-7*(-45)\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10691210?\nAnswer: 2, 5, 397, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 1\/7 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + (-4 - -4) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/63)\/((22572\/1232)\/19)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -253\/3 (b) -0.5 (c) 16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/5*50\/(-83080)*-2. Let s = p - -12452\/10385. Let 3\/5*i + 0 - s*i**3 + 3\/5*i**5 + 0*i**2 + 0*i**4 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-3 + 6 + -2). Suppose -v*o = u - 60, -3*u - 2*o - 2*o + 190 = 0. Suppose 3*i - u = 23. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88 + 1078. Suppose -24*x + 27*x = k. Is 33 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 + -49 + (0 + 4 - (-6 + 9))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203331.\nAnswer: 3, 67777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -198\/5 - 1\/5*l**2 - 199\/5*l.\nAnswer: -(l + 1)*(l + 198)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 3*t + 3*t - 17)*(-2*t**2 - 2*t**2 + 3*t**2) to the form d*t**2 + x + m*t**3 + u*t and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2089 - 2062. Calculate the lowest common multiple of 762 and t.\nAnswer: 6858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2. What is z(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 37*r - 43*r + 79*r.\nAnswer: -r - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 2*u + 12*u)*(2*u + 3 - 3) - 2094*u**2 + 61*u + 131*u - 192*u as o*u + f*u**2 + w and give f.\nAnswer: -2068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*g**4 + 9*g**4 + 70*g**4 - 94*g - 22*g wrt g.\nAnswer: 1068*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32019, 32014, 32005, 31992, 31975, 31954, 31929?\nAnswer: 31900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5739310 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (362*g**2 - 369*g**2 + 0 + 1)*(-5*g - g**3 + 5*g) + 2*g**5 - g**5 + 0*g**5.\nAnswer: 8*g**5 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3712.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 10 = 2*i. Suppose -4*l = -4*s + 5 + 23, -i*s = 15. Let d = -13 - l. Let h(o) = -5*o - 4. Calculate h(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221677.3 years in millennia?\nAnswer: 221.6773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**2 - 142*n - 204. Let y be l(-34). Solve 0 = 4*v - 2*w - 8, v + y*w + 3*w - 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12a + 89?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.7211 - 4.239. Let t = z + 0.0179. Let y = 1 + 1. Which is the nearest to 2? (a) 2\/5 (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1082\/21 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 157, 156, 155, 154, 153?\n\"Answer: -d + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5767511.67 rounded to the nearest one hundred thousand?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3190526*r**4 + 5191824.\nAnswer: -12762104*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-seven fifths of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtdt when four letters picked without replacement from {u: 1, d: 2, t: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6227628*j = -6227876*j + 27776 for j.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172298?\nAnswer: 2, 7, 31, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 2.2224.\nAnswer: 2.2224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*j - t, 0*j = 2*j + 4*t - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9880328?\nAnswer: 2, 1235041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + 972*r - 972*r + (-10*r**2 - 40*r**2 - 3*r**2)*(0 + 4 - 2) - 1 + 1 + r**2.\nAnswer: -106*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 23441513?\nAnswer: 23441517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1671*h**2 - 189 - 1661*h**2 + 942*h + 3347*h**2.\nAnswer: 3*(h + 63)*(5*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 2 = -118. What is the units digit of -2 - (8\/y - (-98)\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9971152 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -14 + -1)*-9. Let s(h) = 3*h - 6. Let n be s(4). Let x be ((-27)\/n)\/((-1)\/6). What is the highest common divisor of x and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.026698 + 12.1865255. Let s = k - 8.16. What is s rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2. Let a be (-7)\/56*0*1. Let d(g) be the second derivative of 0*g**2 + 4*g + a*g**3 + 0 - 1\/6*g**4. Determine f(d(v)).\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, s: 2, u: 1, a: 8, g: 7}. Give prob of sequence gfu.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3\/4 (c) -5\/4 (d) 2\/9 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.4742 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - p + 106 = 3*q, -3*q + 2*p = -74. Calculate the remainder when q is divided by (-1)\/(2\/(-9))*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxpzzzpzz. What is prob of picking 1 p and 2 z?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(180) + -1.\nAnswer: -1 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -2\/23, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 4*x**2 + 3*x + 1. Let v be a(-3). Let i = v + 1. Let f be 0\/i*2\/4. Solve f*s = -5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + -1affe?\nAnswer: -1aff6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 3*j**2 - 2. Let r be g(-3). Let a be r + 4*15\/12. Suppose 5*u = a + 7. Is 2 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9723)\/(-5096) + 495\/(-264).\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12252 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/9660 and 13\/11270.\nAnswer: 67620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*z**2 + 3244*z - 38039?\nAnswer: -4*z + 3244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q**3 - 2*q**4 + 3*q**4 - 19*q**2 - 72*q + 83*q + 17*q**2 - 36*q**3 to the form t*q**2 + s*q**4 + o*q**3 + x + g*q and give o.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548478231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 2*x**2 + 2*x + 1. Let g be i(-3). Suppose 0 = -3*l - g*m + 265, 2*m = -l + 4 + 87. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*t - 3*m = -112, 4*t = -4*m - 384. Let z = -59 - t. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 1\/60*d**5 - 7\/4*d**4 + 2*d + 0 - 11*d**2 + 13\/6*d**3. Find the first derivative of g(l) wrt l.\nAnswer: 2*l - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7868, 7017, 6168, 5321?\nAnswer: 4476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837327179?\nAnswer: 13, 29, 239, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1008509\/80 + -12605. Let z = -118859\/16 + 7434. Calculate the common denominator of p and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*u + 9 + 36*u - 18*u in the form t*u + a and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4. Suppose -5*j = -10, c - 30 = 5*c + 5*j. Let o be (-6)\/(-180) - (-2)\/c. Put f, 3, o in descending order.\nAnswer: 3, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 342 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -91 - 0 - 2 - 1. Let g = -51 - l. Let z = g - 31. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.3. Suppose 4*h - 16 = 2*h. Let r = h - 7. What is the nearest to 0 in f, r, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/280 - 186\/56) + 5.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -45\/4, 0.3, -0.5, -6\/5?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2259)\/5020 - (-7113)\/(-60).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2\/9 (c) 8\/5 (d) -361 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 5. Let j = -8 - -13. Let v = 895 + -901. Let r(x) = 3*x + 6. Calculate j*r(l) + v*p(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i + 2. Let r be y(-4). Suppose 0 = -4*z + 42 - r. Let h(m) = m**3 - 7*m**2 + 2*m - 9. Calculate the lowest common multiple of h(7) and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 449294*q**3 + 136*q**2 + 4*q - 26 wrt q.\nAnswer: 2695764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 558 = 8*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcggggggcgggggwgg. Give prob of sequence cwc.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) + (-17)\/(-4). Let j = z + -7. Let a(x) = -x + 2. Let l be a(4). Put j, 4, l in decreasing order.\nAnswer: 4, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(6\/5)*l)\/l*l\/(l\/l**(3\/10)))**32 assuming l is positive.\nAnswer: l**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, p: 2, l: 1, x: 4, z: 2, q: 3}. What is prob of picking 1 a, 1 z, and 1 p?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*i**4 - 3*i**3 + 776*i**2 wrt i?\nAnswer: 2976*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -6*y**3\/7 + 24*y**2\/7 + 150*y\/7 - 24 = 0.\nAnswer: -4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -838940, -838933, -838922, -838907, -838888, -838865, -838838?\n\"Answer: 2*t**2 + t - 838943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-10))\/((-2)\/5). Let a = -1.4 - -1. Sort a, l, -5.\nAnswer: -5, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 14*v + 20 = 0. What is the common denominator of 9\/((-495)\/(-133)) - v and 163\/90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + 6c3?\nAnswer: 6dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1219 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.1, 168280, -1\/6, 0.1 in increasing order.\nAnswer: -1\/6, -0.1, 0.1, 1, 168280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvuooouwvvq. Give prob of sequence cuww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 15 = -r, v - 5*r - 32 = 0. Suppose v*u - 3*u = 52. Let t be 2 - -18*(u - 2). Round t to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -10\/3 (b) -0.2 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3327, 13007, 29141, 51729, 80771, 116267?\n\"Answer: 3227*h**2 - h + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 3, -3\/41, 8, -477, 3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -117*r - 3. Let h be x(-3). Suppose 4*d - h = -4*a, a + 64 = d - 23. What is the units digit of 3\/15 + d\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 4, t: 7, f: 3, j: 2}. Give prob of sequence jf.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v**4 + 15*v + 3*v**4 + 3*v**4 wrt v.\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 557416?\nAnswer: 1672248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -551\/3 - -184. Let t = 4.48 - 3.48. Let k = 0.3 + -0.2. What is the closest to t in 5, h, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 + 25. Let o = -24 - y. Let j(x) = -61*x**2 - o + 53*x**2 + 5. Let f(z) = -z. Calculate f(j(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0 = -96. Let d be (-4)\/t + (-2)\/(-12). Suppose d = -3*o + 236 - 26. Round o to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 3. Let t be z(0). Suppose 18 = t*f - 15. Calculate the highest common divisor of f and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*q**4 + 56*q**4 + 2 + 1 + 28*q**4 + 16*q + 43*q**4 wrt q.\nAnswer: 1152*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 4. Let r(i) = -1. Let g(v) = -12*r(v) + 3*t(v). Suppose -5*j + 25 = -0*j. Let z(a) = 201 - 201 + j*a**2. Calculate z(g(l)).\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -18*v + 13. Let w(o) = 8*o - 6. Let g(p) = 3*c(p) + 7*w(p). Calculate g(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (10 + -44)) + (-28 - 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s + 1. Let c(j) = -19239*j + 2332. Let h(k) = -c(k) + 2332*u(k). Let a(z) = 2*z**2. Give h(a(q)).\nAnswer: 1166*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 375, 638, 993, 1470, 2099, 2910?\nAnswer: 3933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*i + 12, 5*i + 6 = -2*q - 1. Let z = q - -24. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtjjjjjjjtjjjjttjjj. What is prob of sequence tt?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100 + 10010010101101000?\nAnswer: 10010010100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 13, -19, -53, -83, -103, -107, -89?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 116, 74, 8, -76, -172, -274, -376?\n\"Answer: i**3 - 18*i**2 + 5*i + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -315 - -445. What is the common denominator of d\/(-8) - 3 - 3 and -57\/46?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 3. Suppose -d*z + 4*z = -45. Let l = -147 - -206. What is the remainder when l is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.09832 + -3.1. What is s rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*y**3 - 260 - 5*y**2 + 6*y**2 + 260.\nAnswer: -379*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v - 10. Let z be n(-11). What is the remainder when 62 is divided by 939\/45 - (-6)\/z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18398656291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Let q(b) = -4*b - u*b**2 - 2*b + 0*b + 9. Let f(j) = j**2 + 5*j - 8. Let v(a) = -6*f(a) - 5*q(a). Differentiate v(h) with respect to h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5881, -5865, -5849, -5833, -5817?\n\"Answer: 16*i - 5897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-12)\/16)\/((-3)\/7))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Let o = -22.8 - 3.2. Let j = o + 25.94. What is the closest to -0.1 in 1\/7, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1824\/(-304)*21\/14\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4154 - -4142. Let f(o) = -o**3 - 13*o**2 - 10*o + 14. What is f(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 7 + 17 = 0. Let g be (v\/14)\/((-2)\/14). Calculate the lowest common multiple of 20 and (-8)\/(g\/(-6)*1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 16 = 4. Suppose -2*c = 2*c - 48. Let y = c + x. Solve -g = y*g - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b**2 - 225*b - 806. Let c(i) = -5*i**2 - 111*i - 403. Let j(d) = -5*c(d) + 3*r(d). Find the first derivative of j(u) wrt u.\nAnswer: 2*u - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532185 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 596 - 592. Suppose -p*x - 46 = -134. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -11*k**2\/2 + 9*k - 34. Let t be i(-6). What is the greatest common divisor of 30 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(2) - sqrt(21))\/sqrt(7) - sqrt(18)\/(sqrt(36)\/sqrt(6)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + (sqrt(147) - (0 + sqrt(147)))**2 + 4.\nAnswer: 4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 6 + 7 = k, 3*v - 1 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 35460308*r - 314358360863716.\nAnswer: -(r - 17730154)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -44*f - 100. Let w(a) = -18*a - 49. Let y(o) = 2*m(o) - 5*w(o). Give y(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438228067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 7*v - 4. Let w be 2*(-4)\/8 - 5. Determine z(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 7*w**2 - 10*w - 9. Let t be i(-8). Let j(r) = r**3 - 6*r**2 - 8*r + 10. Let g be j(t). Solve -1\/2 + f**2 - 1\/2*f**4 + 0*f**g + 0*f = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139 + 924*n**2 - 919*n**2 + 184 to the form s + h*n + f*n**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2368000 = 15*r - 11*r. Round r to the nearest 10000.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3491 + -0.1491. What is the closest to n in 4\/5, -60, -2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*w - 23 = -2*c, 2*c - 3*c - w - 3*w = 4*w + 37 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001447858132 rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**7\/42 - 7*c**6\/8 - 61*c**5\/6 - 85*c**4\/2 - 260*c**3\/3 + 2*c**2 - 367*c. Let b(t) = 0. Calculate t.\nAnswer: -2, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.31, -1\/94, 0.734 in descending order.\nAnswer: 0.734, 0.31, -1\/94, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*w + 19*w - 18*w)*(1 + 7 - 2) + (1 - 1 - 5*w)*(4 - 4 + 5)*(2 + 0 - 1) in the form c*w + n and give c.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7. Suppose i = -2*k, -5*g + 2*k + 21 = -4. Solve 4*y - 9 = g*a + 6, -4*y - 3 = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 45*p - 129. What is i(-42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - -20230201?\nAnswer: 20230222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 5*y + 0 + (6 - 2 + 6)*(6 + 4*y - 6).\nAnswer: 35*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 11*y - 56070. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4490016 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/(-220) + (-1)\/(11\/(-2)). Solve d = -2*j + 7*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/7 - 236*x**3\/7 + 1380*x**2\/7 + 32*x\/7 - 7360\/7.\nAnswer: (x - 230)*(x - 4)**2*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 5*p**2 - 3*p - 8. Determine y(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 6*d**2 + d - 6. Calculate f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34059307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13456329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 6 + 44. Let b be 6*(-2)\/t*-5. Factor 3*o**3 + b + 16*o - 14 - o**3 - 10*o**2.\nAnswer: 2*(o - 2)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 107 = -5*k + 136, -o = -2*k + 96. What is the remainder when 293 is divided by k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -412, -612, -812, -1012, -1212?\nAnswer: -1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.92891 - 0.02891. Let a = 1.2 - 1.1. What is the smallest value in -2\/7, -2, a, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, r: 1, h: 6, i: 4, p: 5, l: 1}. Give prob of sequence phhr.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 10320*n + 6656400.\nAnswer: 4*(n + 1290)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2856?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(891)*-2 - (sqrt(66)\/sqrt(6) + -2)))**2.\nAnswer: -2736*sqrt(11) + 143100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 7521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*t**5 + 118*t**4\/3 - 92*t**3\/3 + 16*t**2\/3 = 0. What is t?\nAnswer: 0, 1\/4, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*c + 2, 4*l - 4*c = -0*l - 20. Let p = l + 20. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = 3. What is the common denominator of (3 - 13)*(-17)\/8 and j\/15*(-130)\/(-56)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 k, and 1 u when three letters picked without replacement from sslkalauacs?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -12, 159 in ascending order.\nAnswer: -59, -12, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 9*t - 5*t = 28899, 6*t + 115662 = 4*f. List the prime factors of f.\nAnswer: 3, 23, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 - -109.9. Let u = 58\/3 + -176\/9. Which is the nearest to d? (a) u (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6788, 19512, 32236?\n\"Answer: 12724*n - 5936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126632, -253265, -379900, -506537, -633176?\nAnswer: -759817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-3)\/45*-5 - 0))\/(309\/(-2678))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - (-6)\/2) + 3. Suppose -12 = -z*r + 4*r. Let s be ((-2)\/r)\/(2\/12). Calculate the highest common factor of 5 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 g when three letters picked without replacement from {l: 8, u: 6, g: 2, v: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (3 - -6) - (6 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 5502 - 5437 = 0. Solve -5*t - 3*q + o*q + 11 = 0, -3*q = 3*t + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 + 0*l**4 + 0*l**4)*(0 - 1 + 4).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39, 64, 79, 84, 79?\n\"Answer: -5*r**2 + 40*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*t - 225*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 6*x. Which is the nearest to x? (a) -4 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2 (b) -0.14 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17748 - 6891?\nAnswer: 10857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*o**2 + 0*o - 6*o**4 + 0 + 0*o**3.\nAnswer: -3*o**2*(2*o - 1)*(2*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 11:39 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-5)\/(-2)) + (-418)\/55. Let c(u) = 8*u**2 + 5 - 3*u**3 + 2 + 1. Let v(s) = s**3 - 3*s**2 - 3. Determine b*v(f) - 3*c(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 37338.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 11 + 5)*(1 + 0 + 1)*(-3*g - 2*g + 3*g).\nAnswer: -52*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/215 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 155 = -4*o + 89, o + l = 51. Calculate the lowest common multiple of -33*(o\/(-98) - (-16)\/(-21)) and 128.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-1008)\/(-8)))\/((-12)\/2808)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 32*s - 49. Let b(u) = -31*u + 49. Let h(l) = 7*b(l) + 6*o(l). List the prime factors of h(-15).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = 2*o + 65. What is the units digit of (-4)\/(5\/o + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/10 and 103\/262590.\nAnswer: 262590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2420 and 660.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136459*b - b**3 + 333535*b - 30303*b.\nAnswer: -b**3 + 439691*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = h - 94, -3*h + 7*h - 2*s - 446 = 0. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38251 is divided by 16310.\nAnswer: 5631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136)\/748*3\/(30\/5).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32499 + 32504. Solve 3*n = v - 14, 5 = w*v + 3*n + 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 10 = 3*r, -5*v + 33 - 3 = 5*r. Let c = -219 - -220. What is the least common multiple of c and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488915163 to the power of 1\/3, to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-12))**(-2\/25)\/(v**(-33\/4)\/((v*((v\/(v\/(v\/(v*v**(-38)*v)))*v)\/v)\/v)\/v*v)) assuming v is positive.\nAnswer: v**(4621\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 26*z + 47 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-131 - (-287 + 150)) + -1 + -12 + (0 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/9501520 and 23\/99170.\nAnswer: 2004820720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140515 is divided by 69677.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -9. Let g = q - 6. Let j be (-18)\/(1 - g\/2). Calculate the greatest common divisor of j and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -43448, 1, 4, 5, 14 in descending order.\nAnswer: 14, 5, 4, 3, 1, -43448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqqenwrwewwnr. Give prob of picking 1 w and 1 e.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 - (-70 + 56 - (-12 - (-3 + -1))).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u + 6. Let b(t) = 11 - 3*t + 0*t + 7*t. Suppose 3*h + 2*k - 4 = -29, -2*k = 2*h + 14. Let c(l) = h*x(l) + 6*b(l). Let v(m) = -m. Determine c(v(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 5*h + 56, 3*h - 2801 = -j - 2835 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2123.1 or 3.19?\nAnswer: 2123.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 1 + 0 + -1. Let f = -518981 - -518984. Sort d, 5, -19, f in ascending order.\nAnswer: -19, d, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 76*c**2 - 1423*c + 162. Calculate q(-34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0481 - 2.0554. Let o = 0.0073 + k. Let n be (-10)\/48 + 1\/3. What is the second smallest value in n, -5, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5278 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 6, k: 2}. Give prob of sequence pk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44357760 is divided by 328576.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 10) to base 2.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 183 and 6?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22207*c*w - 40891*c with respect to w.\nAnswer: 22207*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21001102 - 10310030?\nAnswer: 10031012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 1. Let b be d(6). Suppose 0 = b*p - 17 - 63. What is the remainder when 30 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**5\/20 + w**4\/3 - w**3\/3 + w**2 - 22*w. Suppose -n + 5 = -0. Suppose 2*i - i = -n. Calculate m(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16496, -32946, -49400, -65858, -82320, -98786?\n\"Answer: -2*r**2 - 16444*r - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55655?\nAnswer: 5, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 423 - 41. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*v + 8 = -0*x, 4*x + 4*v = -8. What is the smallest value in 0.2, -4\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179038386?\nAnswer: 2, 3, 109, 91253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 4*t + 20 - 3, 3*t = -2*y - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/19)*a)\/a*a**(-8)*a*a**4*a**5 assuming a is positive.\nAnswer: a**(36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1406037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28405 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 3*m**2 + 6*m + 4*m**2 + 3*m**2 + 4*m**2. Let h(s) = -2*s**3 - 17*s**2 - 13*s. What is 6*h(l) + 13*q(l)?\nAnswer: l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3075 and 1085.\nAnswer: 667275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 0.2 (b) -2\/83 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-63))\/((-2)\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 701978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24235469964 from 485.\nAnswer: -24235469479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 1, h: 1}. Give prob of sequence kk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -385 by -8.\nAnswer: 385\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8*-4 - -48. Suppose 5*b + 2*b + m = 0. Let k be (-4)\/b - 381\/(-7). Calculate the highest common divisor of k and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 399743 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 146\/(-6) - (-6)\/18. Suppose -43 = -w - 4*o + 8*o, -3*o = 12. Calculate the remainder when w is divided by (-107)\/(-7) - (2 + u\/14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*h - 1557*h + 3776 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcccrcrcccrccccrrc. Give prob of picking 2 c.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 4. Let n be u(0). Suppose n*q = 175 - 43. What is the greatest common factor of 9 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181061394*o**2 - 3307373*o + 12 wrt o?\nAnswer: -362122788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39930 and 6781566.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 205847.4 rounded to the nearest 100?\nAnswer: 205800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18376170 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2241 + -2241.05. Sort w, -94, -4 in descending order.\nAnswer: w, -4, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61343, 61344, 61345?\nAnswer: 61346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16d (base 15) to base 12.\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220002120 + -12?\nAnswer: 220002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 285243 and 190162.\nAnswer: 570486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164443 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -4*m - 2*f + f, 4*f - 20 = 0. Let v be (-2)\/(-7) - (-88)\/(-14). List the prime factors of v\/(-15) - m\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10b7 - -1?\nAnswer: -10b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7985993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (25*12)\/((-2)\/15). Let y be (0 - -320)\/((-12)\/k). Round y to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*v - 19*v + 40*v)*(3*v + 0*v - 5*v + (0 + 0 - 2*v)*(4 - 3 - 3))*(0 + 0 - 6).\nAnswer: -420*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.62 - 0.62. What is the third biggest value in -0.3, n, 0.1, -7\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-360)*-104 - 12\/3. What is the nearest to 0.1 in 1\/5, t, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 11*z**4\/12 - z**3\/3 + 9*z. Suppose q(t) = 0. What is t?\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((304\/(-32))\/(-19))\/((20\/4)\/((-42)\/(-35))).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 940 and 5452?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 350528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from fyyfyfyywyfyyffyy?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 1. Let o(u) = 0 + 10 + 2*u**2 - 16. What is 4*d(n) + o(n)?\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**2 - 11. Let w(x) be the first derivative of x**3\/3 - 4*x + 2581. Give w(t(h)).\nAnswer: 4*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000062251 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -74 divided by -3\nAnswer: 74\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + -11 + -17 + 45 + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1415011 divided by -1\nAnswer: 1415011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481 + 468 + 3*y + 508 - 1348.\nAnswer: 3*y + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -74, -136, -220, -332, -478, -664?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -5*l + 720. Calculate the highest common divisor of l and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -35\/4 (b) -2\/3 (c) 358 (d) -0.257\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 106*k - 559. What is f(10)?\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttrttttttttr. What is prob of picking 1 t and 1 r?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*j = -18*j - 170 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 34*d + 878. Determine k(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -4. Let z = -16 - r. Let d(p) = -p - 1. Let m be d(z). Which is the smallest value? (a) 5 (b) m (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1742682, 6970770, 15684246, 27883104, 43567338, 62736942, 85391910, 111532236?\nAnswer: 141157914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvvvvvvpvvvvvvpv. What is prob of sequence pv?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 47. Solve 4*v - 10 + 2 = b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 5. Let j be (-1)\/(-6)*(-9)\/(-6). Is p at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -414911*g*v**4 - 3*g*v + 5453*g + 5 wrt v?\nAnswer: -4978932*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/198 and 59\/7.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1+83285040.092\nAnswer: 83285039.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 601, 5, 4, 3 in increasing order.\nAnswer: 3, 4, 5, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1101011101110110110 (base 2) to base 13\nAnswer: 125b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2179 - -2177)*(4\/(-18) - (687\/(-54) - -6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5159.88 * 0.553.\nAnswer: 2853.41364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 17, -5, -24, 3 in decreasing order.\nAnswer: 17, 3, -3, -4, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 1:00 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -5*r**5\/4 - 47*r**3 + 265*r + 280. Let h(i) be the first derivative of d(i). Find the second derivative of h(y) wrt y.\nAnswer: -150*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from {j: 2, u: 4, s: 1, v: 1, i: 3, k: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 84 from -5.427.\nAnswer: -89.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 0 + 5\/6*k**3 + 1\/20*k**5 - k + 7\/12*k**4 - 5\/2*k**2. Determine h(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = 3*t. Let u(d) = 5*d**3 - d. Let a be u(t). Suppose -5*b + v + a = -51, -14 = -b + 4*v. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 46566245.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (8 - (3 - -1)). Let q be (5*p)\/5*31. Let f = q - -879. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -20*x. Let s(j) = j + 18. Let p be s(9). Let h(v) = -v**2 + p - 27. Determine u(h(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-9) + (-86)\/(-387)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11043, -22063, -33073, -44079, -55087, -66103?\nAnswer: -77133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r + 208. Determine w(-42).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 2, 1\/6, 4, 40, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*x = -2*n + 6, 4*x - 8 = -4*n. Suppose 9*k + 60 = 87. Solve 0 = n*m + k - 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**5\/10 - 467*w**4\/6 + w**3\/3 - 348*w**2 - 439*w + 2. What is the second derivative of h(j) wrt j?\nAnswer: -12*j - 1868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 54 = -3*d + 12*m, 18 = d + 4*m. Solve -490 + 346 = -d*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 19. Let j(f) = -4*f**2 - v*f + f + 6*f**2 + 5 - 3*f**2. Is j(-7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -2*c**2 + 1\/60*c**5 + 0*c + 0 + 0*c**4 - 1\/60*c**6 + 0*c**3. What is the third derivative of t(x) wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/10*25\/(-10). Find the common denominator of 3*(14\/k - -3) and 53\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 171*y - 114*y**4 + 7*y**4 + 65*y wrt y.\nAnswer: -1284*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 3*i - 4*i - 2*i + 2*i - 2*i + (2 + 2 - 6)*(i - 1 + 1) + 12897 - 72*i - 12897)*(-1 + 3 - 1).\nAnswer: -75*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -215 and -431\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 20. Suppose 0 = 2*h + 2*h - 64. Let f = 29\/2 - h. Sort 1\/8, -1, w, f in descending order.\nAnswer: w, 1\/8, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5551982000 to the nearest 1000000.\nAnswer: -5552000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36363483 to the power of 1\/2, to the nearest integer?\nAnswer: 6030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from {t: 1, h: 5, v: 2, f: 6, q: 2, w: 3}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*c + 174. What is the units digit of (c\/(-4))\/(-2 + (-38)\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c + 5 + 29*c**2 - 30*c**2 - 1 - 11*c. Let z be d(-16). Let q(y) = -2*y + 1. Let x be q(-1). Solve 0 = 4*k + z*m - 16, 4 = -x*k + 3*m + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 1495 in increasing order.\nAnswer: -5, 2, 1495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)\/(l**(-2)*l))\/(l*l**(-1\/4))**(2\/105))**(-2\/9) assuming l is positive.\nAnswer: l**(71\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v - 5*p - 50 = 0, -5*v = -4*p - 48. Suppose 3*z = -v*t + 6*t - 6, 2*t = 3*z + 18. Solve 0*n - 3*n - t = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 21. Let d be r(-10). What is the closest to d in 3\/7, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 (base 2) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 5*o = -27846. Let m be (-6)\/(-24) + (-7)\/(-4). Let z be (m\/(-5)*1)\/(o\/(-170)). Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514465?\nAnswer: 5, 499, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l**2 - 51*l**2 + 21594 + 28*l**2 - 3596.\nAnswer: -4*l**2 + 17998","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3. Let x be -2 + (-4)\/(-4 - -2). Suppose -3*w + 8 = 2. Solve x = d*m + 4*k + w, 4*m + k - 2 = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -12499*u + 2. Let n be (-1)\/(-4) + (-9)\/4. Let f be r(n). What is f rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34136 and 1564.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - -2640) + 54 + -66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eegdgv. What is prob of sequence ve?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58166859.\nAnswer: 3, 19388953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*k**2 - 158*k**2 - 48*k**2 + 60*k**2.\nAnswer: -317*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1024 + 1575. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24726 - 24613.63. Round x to the nearest integer.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1856502, -7426062, -16708664, -29704308, -46412994, -66834722, -90969492?\n\"Answer: -1856521*t**2 + 3*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1750.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**3 + 33*y - 155. Let f(h) = 7*h**3 - 66*h + 311. Let b = -616 - -618. Let n(l) = b*f(l) + 5*k(l). Differentiate n(q) with respect to q.\nAnswer: -3*q**2 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*o - 56 = 0, 5*s - 2 = 3*o + 166. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57874 >= 289366\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58989 divided by -7.\nAnswer: -8427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 36*q**3 + 3*q**2 - 3*q**2 + 33*q - 30*q.\nAnswer: -36*q**3 + 3*q + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -5032 + 321. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -959460.\nAnswer: 4797300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51684 + 117684. What is g rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = 3*t + 22, k + 2*t = 23. Suppose -20*g - 237 = -k*g. Is 67 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 8:28 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 590\/(-22) + (-1 - 18\/(-22)). Let h = -37 - l. Let f be 28\/(-42) - h\/6. Solve 5*r = -4*i - 10, -i = -2*r - 2*i - f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p - 2*p = 7*p + 729393000. Round p to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*v**2 + 3*v**4 - v**4 - 17*v**2 - 4*v**3 + 6*v - 15*v**2 - 2 to h + f*v**3 + j*v**2 + x*v**4 + s*v and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/2 and -97\/4238.\nAnswer: 4238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 975384.8m?\nAnswer: 975.3848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 62?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/4)*w*w*w)**3*w**(2\/7)\/(w*w**1)*(w**(2\/5))**(-17)*((w\/(w\/(w*(w\/(w**(-5\/4)*w)*w*w)\/w*w*w*w)*w))\/w)\/((w*w\/w**(-2\/13))\/w) assuming w is positive.\nAnswer: w**(5307\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/(-33)*6\/(-105)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120461408?\nAnswer: 2, 191, 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 105736*f**2 - 634524*f + 951840.\nAnswer: 4*(f - 3)**2*(f + 26440)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -7*k - 5*i + 72, 5*i - 54 = -3*k. Let w(b) = 3*b + 41. Let h(o) = -7*o - 17. What is the remainder when w(k) is divided by h(-7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 b, and 1 q when three letters picked without replacement from {f: 1, b: 1, q: 1, e: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6149, 5974, 5841, 5768, 5773, 5874, 6089, 6436?\n\"Answer: 3*x**3 + 3*x**2 - 205*x + 6348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 1, p: 1, r: 2, i: 1, n: 2}. What is prob of picking 1 w and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaasaasaaaaa. Give prob of sequence as.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*2 + -1 - 2. Let y be 7\/((-98)\/(-24)) + (-18)\/(-63). Sort 7, o, y.\nAnswer: o, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0842803 to two decimal places.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + l - l + (67*l - 4*l**2 - 67*l)*(-3*l**2 + l**2 + 4*l**2 + (-4*l**2 + l**2 + l**2)*(-1 + 1 - 2)).\nAnswer: -26*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + sqrt(160)\/((sqrt(10) - sqrt(10)*-1) + sqrt(10)))\/sqrt(8).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c - 30 = 0. Let r = c + 0. Suppose r = u - 6. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 104*o**2 - 3276*o + 13777. Calculate i(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*z + 2*u, 0 = 3*z - 2*u + 10. Let x be z\/5 + (-7)\/(-5). Solve 0 = 2*m - 3 - x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/1458 + (-2)\/12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -30*k**2 - 151*k + 11240. What is i(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -102636*r + 513174. Give h(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90510 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256266 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56708606 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 0 = -4*t + 5*y - 26, 0 = 4*t - 62*y + 65*y + 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11526107 + -10523333343\/913. Let x = k - -28\/83. Is 3 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1634, 2, -2, -100 in descending order.\nAnswer: 1634, 2, -2, -3, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 + 6*m**3 - 12*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*y**3 + 94*y**3 + 93*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -0.808.\nAnswer: -5.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14132 + 5?\nAnswer: -14124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.98723273 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fll when three letters picked without replacement from {f: 1, l: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8743048309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnannnbnnxbnnbnnaan. Give prob of picking 1 x and 1 a.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -763 in 1\/5, 21\/176, -0.2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -64 and -21?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76443*n**2 - 76445*n**2 - 1639 + 1639.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, h: 1, r: 7}. Give prob of picking 2 r and 1 j.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*u + 262*u + 263*u + 277*u + 293*u - 1264*u.\nAnswer: 78*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 40, 52, 66, 82?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + -4 - sqrt(19))*4*4 - (2 + (-1*sqrt(304) - sqrt(304)))*-4)**2.\nAnswer: -1792*sqrt(19) + 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u + 24 = 4*t, -4*u - 3*t + 68 = 0. Suppose -8*o + 3*o = -u. Let p(f) = 12*f**2 + 3*f + 7. Is p(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**4\/24 - w**3 - 188*w**2 + w. Calculate m(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/240 + w**4\/6 + 7*w**3\/6 + 140*w**2. Factor s(f).\nAnswer: (f + 2)*(f + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -45*i - 11210. Let g be j(-250). Suppose 3*a + 6 = 0, -4*a - a = -l + 26. Suppose 0*t - l = -t. Calculate the greatest common factor of t and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4988 and 62524.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s + 14. Let h be o(3). Let r(b) = b + h*b - 2*b + 0*b. Let f(q) = 12*q**2. What is f(r(a))?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3884*o + 6667?\nAnswer: -3884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49058276 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9) + 4\/6. Suppose v*m - 5*m + 35 = 0. Suppose -m*y + 70 = -2*y. Calculate the least common multiple of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 - 5. Let s be g(5). Suppose -s = 2*b - 4*j, -j + 6*j - 72 = b. Does 3 divide (-4)\/26 - 268\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/2*(-1)\/109. Let k be (4 + (-1215)\/10)*(-7)\/545. Let t = p + k. Sort -2\/5, 2, -0.3, t in increasing order.\nAnswer: -2\/5, -0.3, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005223 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -6. Let w be 0 + -70*l\/4. Round w to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1148227596?\nAnswer: 2, 3, 10631737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 9*c - 5\/6*c**3 + 0 - 9\/2*c**2. Let i be u(12). Which is bigger: i or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + 2 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j**2 + 10*j + 7. Let k(h) = 7*h**2 - 7*h - 5. Let o(f) = 7*k(f) + 5*u(f). Find the second derivative of o(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -41, 5 in increasing order.\nAnswer: -41, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4724 is divided by 324?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by ((-251)\/45 - (-18)\/(-81))*-5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002460253715 to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129304 and 10696.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14711 (base 12) to base 6.\nAnswer: 340421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**2 - 4*s - 7. Let u(w) = -1. Suppose -5 = -2*n + 3, -2*n + 4 = -4*g. Let b = -8 - -3. Let i(p) = b*u(p) + g*q(p). Solve i(m) = 0 for m.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -17 + 52 + 25 - 28*y**2 + 2*y**2 - y**3. What is the smallest common multiple of 8 and d(-26)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*p**4 - 1 - 89*p**4 + 2*p**3 - 2*p**2 + 2*p**2 as c*p**2 + g*p**3 + k*p + d + i*p**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5038062 or -0.15?\nAnswer: -5038062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 1797 + 914 + 899 = 0. Calculate the remainder when 6 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - t**2 + 11*t - 4. Let i(w) = -w**2 + 6*w + 7. Let j be i(6). Let p = 0 + j. Is g(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + z - 1. Suppose -5 + 9 = -y. Let v(d) = 10*d**2 + 13*d - 3. Let q(l) = 9*l**2 + 12*l - 4. Let c(w) = y*v(w) + 5*q(w). What is -c(k) + 6*p(k)?\nAnswer: k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070862544 take away 0.2207?\nAnswer: -0.149837456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = 3*i. Let j be (2 + (-4)\/2)\/i. Which is the closest to j? (a) -0.4 (b) -0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9737 = 50*n + 313*n + 2114 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11478 + -11478. Let q(r) be the third derivative of 0*r**4 + 12*r**2 + 0*r**3 + 3\/40*r**6 + d + 0*r - 1\/10*r**5 - 1\/70*r**7. Let q(v) = 0. What is v?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) 22 (c) 13153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45895, -1, 63 in descending order.\nAnswer: 63, -1, -45895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m - 8*m - 2*m - 6*m.\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39.81 + 40. Let l = 0.19 - w. Let u = -1 - -2. Which is the nearest to -1\/4? (a) l (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 5. Let r be a(-4). Let f = -401 + 418. Differentiate f + 10 + 16*w**r + 8 - 6*w**3 with respect to w.\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 3*a**6\/10 - 5*a**2\/2 - 8*a. What is the derivative of f(d) wrt d?\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4206493, -4206492, -4206491, -4206490?\n\"Answer: b - 4206494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1029502932?\nAnswer: 2, 3, 17, 31, 173, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 107, 72, 5, -100, -249, -448, -703, -1020?\n\"Answer: -v**3 - 10*v**2 + 2*v + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73016 is divided by 9083.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**2 + 26*g + 1. Let m be i(-4). Is -35 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4961 and 34399?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003977948 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 9250 = -v - 2*y, -4 = y. Let w = -166643\/18 + v. Find the common denominator of -3\/8 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.5, -2\/3, -1, -19, -65?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 67.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = 23*k - 18326. Let r be 22\/3*(-24)\/64*-4. Calculate the highest common factor of k and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (1 - -6 - (-50 - -64)) + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48025 is divided by 8003.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 4*o**2 + o. Let c(b) = -b**2 + 4*b - 2. Let n be c(2). Suppose 0 = 2*x + n*t + 16, -x + 5*t + 0 + 10 = 0. Is k(x) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 + 37*y**2 - 30*y + 22. Let p be b(-19). Let n be (6*44\/p)\/((-1)\/(-7)). Solve -5*c - v - 2*v = -n, -2*c - 2*v = -4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = 0. Let w(b) = o*b**2 + 2*b**2 - 4*b**2 - 8*b**3 - 45*b**3 - 3*b - 3. Is w(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 + 4*r**2 + 2*r**2. Let g(v) be the second derivative of 0*v**2 + 0 + 5\/6*v**3 + 3*v. Give g(j(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5600 and 1232?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*x**4 + 213304*x**3 - x**2 - 947291*x + 72.\nAnswer: 1524*x**2 + 1279824*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and (-1*4\/6 - 0)\/((-506)\/11385)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5116123*q**2*w + 15*q*w + 1156*q - 10*w wrt q?\nAnswer: 10232246*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 79*a*t + 12*a - 19 wrt t?\nAnswer: 79*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -186689.\nAnswer: -2\/186689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 48*o**3 - 129*o**2 - 390*o - 216.\nAnswer: 3*(o - 4)*(o + 1)**2*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40291, 293048, 979111, 2315134, 4517771?\nAnswer: 7803676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3878 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2790*z - 1395*z - 100 - 1385*z. What is r(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1063100, -2126193, -3189262, -4252295, -5315280?\n\"Answer: 2*q**3 - 1063107*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9783*f - 9783*f - 5*f**2 + 5*f**2 - 183*f**3.\nAnswer: -183*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 10*z**3 - 2*z**2)*(-z**2 - 2 + 2) + (3*z**4 - z**4 - z**4)*(z + 0*z - 2*z) + 2*z**5 + 3 - 3.\nAnswer: 11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -324333221?\nAnswer: 324333214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -0.2. Let u be -4*1\/(-6)*(-1302)\/(-28). Let f = 245\/8 - u. Which is the third smallest value? (a) f (b) t (c) 0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*y + 47*y - 92 = -5*f, -361*y + 18 = 365*y - 727*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l = -18*l - 4*d + 20, 4*l = 2*d - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32850840 and 615.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06306 and 9013?\nAnswer: -568.35978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((j + j - 4*j)*(4*j - 4*j + 5*j) + 2*j**2 + 0*j**2 + 0*j**2 - 2 - 2*j**2 + 2 + 0*j**2 + 29*j**2 + 47*j**2)*(-3*j + 0 + 0).\nAnswer: -198*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1)\/3*4\/(-4). Let n(w) = -w**2 + 2*w - 1. Let o be n(2). Let s = 15.8 + -16. What is the nearest to o in c, s, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 278, 364, 446, 524, 598, 668?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 386? (a) 3 (b) 5\/2 (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 102*y**2 + 34*y - 34. Let z(h) = h - 1. Let m(g) = -l(g) + 34*z(g). Let k(s) = -2*s. Give k(m(u)).\nAnswer: 204*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*g - 321 = 201. Let z be -3*(-1 - 0)\/3. What is the least common multiple of g and z\/(-2) - 111\/(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76 + 38*b**3 - 10*b - 35 - 41 wrt b?\nAnswer: 228*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160100 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 85, 81, 79, 79?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -5, 223?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 238681*c**3 + 254388*c**2.\nAnswer: 1432086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -10*m. Calculate the remainder when 48 is divided by q(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 262 - 124. Let t be s\/24 + (-12)\/16. Find the common denominator of 4 - (205\/(-14))\/t and -31\/64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (561\/(-8))\/17 + 2\/16. Let p be -24*(-3)\/((-9)\/(-364)). List the prime factors of ((-6)\/g)\/(21\/p).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*u + 142*u = -120 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddwddw. What is prob of sequence ddww?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1875954*s - 817 = 1875935*s for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -18*d - 444. What is the remainder when 104 is divided by i(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 11*l - 7. Let p be s(10). Suppose v = -p*v + 20. Suppose -21 = -v*n - 4*o + 3, 5*o = n + 1. What is the highest common divisor of 44 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 487338 or 487343?\nAnswer: 487343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -13\/3*c**3 + 27 - 1\/2*c**2 + 11*c + 1\/4*c**4. Calculate d(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -560651 (base 7) to base 13.\nAnswer: -35c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2684 and 2196?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7b1 - 9b421?\nAnswer: -9bbd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 5. Suppose -4*o = -v*o - 7. What is the least common multiple of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/51330 and 19\/234900.\nAnswer: 13859100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1640 + 7324 = -36*l. Is l greater than or equal to -249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -149*r**6\/120 + 289*r**5\/60 + 12*r**2 + 3. What is the third derivative of z(k) wrt k?\nAnswer: -894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hese when four letters picked without replacement from {h: 1, s: 1, e: 13}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (500\/(-30))\/((-1)\/36). Suppose -19*q + 4*q = -b. What is the greatest common divisor of 280 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 1407.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l + 80 + l - 2*l**2 - 89 in the form d + c*l + v*l**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 - f + f + (-2*f**2 + 0*f**2 + f**2)*(-f - 2*f + f) + 11*f**3 + 26*f - 26*f.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -153 = -10687\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 1. Let z be y(-1). Suppose 5*w + 6*o = 3*o - 14, -o = 5*w + 8. Let h be 2\/(w - (-3)\/2). Solve 0 = -2*j - z*t + 9 - h, -2*j = -2*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/6)\/((-2)\/3). Let x(l) be the first derivative of l**4\/4 - l**3 - 3*l**2\/2 + 6*l - 2. Is x(f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 16) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4360 is divided by 182.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 2. Let v be k(-1). Let l be ((-3)\/v)\/(1\/2). Put -4, l, -10 in decreasing order.\nAnswer: -4, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 480.6423.\nAnswer: 477.6423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*s - 5*b, 11 = 5*s + 4*b - 9. Suppose 0 = q - s*q. Suppose q = -17*t + 14*t + 582. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 935 (base 15) to base 7\nAnswer: 6023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-1 - -4)\/3. Let p(k) = 4*k**2 + 2*k + 1. Let h be p(f). Factor -4*y**2 + h*y**2 + 5 - 4.\nAnswer: -(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/6 + 5*a**3\/6 + a**2 - 7*a. Suppose -2*u + 0*u - 2 = -2*f, 4*u = 2*f - 6. Let q be 0\/(f*2) - 3. Give w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 12 = 2*i, -4*i + k = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.629836kg in micrograms?\nAnswer: 9629836000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 0*q + 2 - 3*q + (q - 2 + 2)*(2 - 2 + 1) + (-1 + 7*q + 1)*(0 - 2 + 3).\nAnswer: 7*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.65129 minutes in seconds?\nAnswer: 3639.0774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -789 or -794?\nAnswer: -789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*w**3 + 4 - 4 + 1572*w**3 + 1211*w**3.\nAnswer: 2424*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eewewwweww. What is prob of picking 2 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 733.4829 years?\nAnswer: 73.34829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78366 and 1383054?\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 4*r - 2. Let a(q) = -q**2 + 3*q - 2. Determine -5*a(s) + 4*f(s).\nAnswer: s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -243*i - 239*i + 483*i + 22, -i = b + 34 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/2*21\/(-12)*(-3624)\/1057?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x + 127 - 300 + 199. Determine l(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-34) + (-94)\/(-799)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05 and -0.676.\nAnswer: -0.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 16892*f - 16893*f + 2*t - 12, 8*f = -5*t - 204 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = n - 115, 4*n = -2*b + 23 - 91. Let u be 7\/(-2)*b\/42 - -2. Calculate the greatest common factor of 88 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2*l = 2*m - 11, l = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 331*n + 341*n - 6 + 2.\nAnswer: 10*n + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-33)\/9)\/(1\/6))\/(-2). Let q = 156 + -15. Suppose -l + q + j = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 583392 and 182928?\nAnswer: 21585504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95\/2 - 1041\/22. What is the common denominator of -91\/4 and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215637?\nAnswer: 3, 71879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 2. Let b(q) = q - 3. Give -2*b(a) - 3*x(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 2*sqrt(405))**2 + (1 + sqrt(125) - sqrt(125))**2 + ((5 + sqrt(405) + -1 + sqrt(405))**2 - (sqrt(405)*2 - sqrt(405))**2*3).\nAnswer: 144*sqrt(5) + 4067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/19)\/b)**(2\/13)*b**(-12)*b*b*(b\/b**(-1\/13))\/b assuming b is positive.\nAnswer: b**(-2485\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13569 or 23044?\nAnswer: 23044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 539706 and 1139584?\nAnswer: 1001694336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -35. What are the prime factors of (-49)\/v - 1\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2061\/48958?\nAnswer: 2061\/48958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 150*t - 495.\nAnswer: 5*(t - 33)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50.31 + 50.3. Which is the closest to n? (a) -5 (b) 2\/5 (c) 1\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 147666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3723 is divided by (38\/228)\/((-4)\/(-552))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.099.\nAnswer: -0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2933*c*l**3 + 17*c*l**2 + 150*c*l + 17*c - 4*l**3 + l**2 + 1 wrt l.\nAnswer: 17598*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*j + 9*j - 27*j to the form w + r*j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 5, g: 4, e: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/(677\/(-2031)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -4. Let p = t - -20. Let w(o) = o**2 - 21*o + 43. Let u be w(19). Solve u*y - p = 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f + f**3 - 2*f**3 + 26*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-478)\/1434*6\/20.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 - 4*f**2 + 2*f**2)*(-4*f + 2*f + 6*f).\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o**2 + 4*o - 6. Let n be m(-8). Let p = n - 298. Suppose 4*l + w = 65, 4*w - 35 = -5*l + 49. Calculate the greatest common factor of l and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6863662.8ms?\nAnswer: 1.906573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 775 and 41425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*h + 1551 = 19*h + 10*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5015704.\nAnswer: 2, 626963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -1.4. Let g = -0.4 - k. Let j = -2.93 - g. Round j to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.9 + -8.92. Suppose -9*a + 17 + 19 = 0. What is the biggest value in 2, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*q - 830 + 35170. What are the prime factors of q?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 11*j**2 - 24*j + 17. Is 10 a factor of n(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2216*s - 2*s**2 + 4448*s - 2232*s.\nAnswer: -2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138)\/(-7552) - 1646\/(-105344).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdnk when four letters picked without replacement from {p: 1, k: 8, g: 9, n: 1, d: 1}?\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29.00305 - 29. Round c to four dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583831458 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -15*m + 11*m. Solve -3*v + 2 = s - 7, 3*v - m*s = 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/85 in 11, 2, -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*m - m + 3*m)*(m - m + 2*m) - 4*m**2 + 4*m**2 - m**2)*(9*m + 3*m - 5*m)*(2 + 1 - 2).\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*(9 - 34\/7). Let t = -122 - -1100\/9. Which is the biggest value? (a) t (b) w (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -3 - -78) + -1. Suppose 2*g + 29 = o, 5*g + p + 6 = 3*o. Let t = 33 - o. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2485, 2688, 2897, 3112, 3333, 3560?\n\"Answer: 3*z**2 + 194*z + 2288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -130*q**3\/3 + q**2\/2 - 54*q - 199. What is the second derivative of t(s) wrt s?\nAnswer: -260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 23*y**3 + 3*y**2 + 30*y - 21. Let o(v) = 92*v**3 + 11*v**2 + 115*v - 81. Determine -6*o(j) + 23*q(j).\nAnswer: -23*j**3 + 3*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + (2 - 6) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -10. Let z(t) = 2*t + 18. Suppose -5*m - 44 - 1 = 0. Let v be z(m). Solve h*o = o + 5*n + 30, v = 5*o - n + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p + 12. Let o be q(2). Let y(n) be the first derivative of 0*n**o + 0*n**3 + 1 - 1\/4*n**4 + 3*n. Find the first derivative of y(g) wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2416891430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 104. Let a = 48 + s. Let g be ((-8)\/a)\/((98\/175)\/(-7)). Is -21 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 33*n**5 + 33*n. Let g = -47 + 40. Let m(t) = 17*t**5 + 17*t. Let q(o) = g*m(o) + 4*w(o). What is the second derivative of q(i) wrt i?\nAnswer: 260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 2*l**2 + 2*l + 2. Let t(f) = -3*f**3 + 5*f**2 - 5*f - 5. Determine -5*r(b) - 2*t(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 827*i + 174. Is n(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 6. Let p be 4\/(-6)*z + 3. Put 3, p, -2 in increasing order.\nAnswer: -2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -6*u - 11. What is the smallest value in -5, -3\/5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 9*s**2 + 8*s. Let b be n(-8). Suppose 0 = z - 2 - b. Find the second derivative of 6*u**z + 7*u + 0*u**2 + u**2 wrt u.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 18. Let d be (p - (-4)\/4)*1. Suppose -d*z + 332 = -6*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z**2 - 2*z + 1. Let x be j(1). Let k(b) = -b**2 + 7*b + 2. Let p be k(6). Let l = x + p. What is the remainder when 30 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000731 rounded to 7 decimal places?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and ((-4)\/5)\/((-10)\/50).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 - 3 - 217*r.\nAnswer: -217*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -878, -1759, -2640, -3521, -4402?\n\"Answer: -881*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/8937748?\nAnswer: -5\/8937748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0464, 29, 0.119, -1\/6, 1\/3?\nAnswer: -0.0464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - 6*r**2 + 5. Let a be 39\/15 - (-4)\/10. Suppose 2*m = -a*m - 30. Let x(q) = 6*q**3 - 17*q**2 + 14. Give m*x(u) + 17*s(u).\nAnswer: -2*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -18*j**2 + 2*j - 1. Calculate s(2).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 4:37 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*a = -348*a - 140*a + 79700 for a.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)\/m)**(-33)*(m\/(m\/m**(2\/5)))**(-5\/7) assuming m is positive.\nAnswer: m**(152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669064 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 26 - 2 - -1 - (53 + -67 + 19)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79582.\nAnswer: 2, 39791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2580 and 688?\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9679 by -4433.\nAnswer: -9679\/4433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 78.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -91\/69624 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2444 by -611.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -49814019401 and -18.\nAnswer: -49814019419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 35888070.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*o + 233*o - 12969 = -17*o + 695 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -92*z + 60*z**3 + 50\/7*z**4 - 66\/7 - 1488\/7*z**2 = 0.\nAnswer: -11, -1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**3 - 5*k**2\/2 - 8*k. Let f(n) = -7*n + 6. Let a(t) = -5*f(t) - 6*r(t). Let q(h) = 12*h**2. Determine a(q(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5717 - 5718.5452. Round w to 2 decimal places.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1872 and 35152?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 6*w**2 + 9*w + 12. What is u(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15310345560 - -414.\nAnswer: -15310345146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63763 is divided by 1733.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7662 + 34836. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, -32, -76, -140, -224, -328?\n\"Answer: -10*y**2 + 6*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3 - 0) + -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 5. Let b be (-3 - -6 - 2)*0. Let w be k(b). Suppose -16 = -w*n + 294. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3697*r + 1800*r - 310 = -1814*r + 4670 for r.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 171*b + 1547. Let s be f(-9). Solve 4*v = -4*x + 2*v + 20, x = -2*v + s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51 - 35) + 24 - 54\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0444 + 0.0556. Let z be 3\/(-3) + (-7)\/(-4). Put -13, z, p in increasing order.\nAnswer: -13, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnrnnrniti. What is prob of picking 1 t and 1 i?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27741 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 12515304.\nAnswer: 1\/3128826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 6. Let a be 1 - (-2 - 2) - 2. Let i = a + n. Let h(c) = -c**3 + 2*c**2 - c + 1. Give h(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64.13487784 + 34.63487781. Let v = x - -29.5. Round v to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*x - 472 = -54*x + 514 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 6*i**2 - 6*i - 1. Let j be x(-4). Let y(s) = s + 18. Let d be y(j). What is the first derivative of -22*p**2 + d*p**3 + 22*p**2 - 6 wrt p?\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 - 2\/8. Let i be (n\/(0 - -3))\/1. Suppose 0*h + 2*h = i. Solve h = 2*c + 1 + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 7*v**2 - 4*v**2 + 1. Let t be i(-1). Solve o + 3*o = t*p + 16, -p = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -15*c - 6. Let k(a) = -a**3 + 4*a**2 - a - 2. Let g be k(4). Let j be s(g). What is the greatest common factor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 23*b + 52. Let l be a(-21). Suppose l = -32*c + 34*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1309 + -647. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 49*r + 31. Let w(t) = t + 5. Calculate p(h) - 6*w(h).\nAnswer: 43*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 27 - 12. Let m be (u\/(-27))\/(18\/(-27)). What is the nearest to -1 in 0.1, 1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.99 + -17. Which is the second biggest value? (a) -4\/7 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1840?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.1 (c) -13 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-3) + (-12)\/(-8)*34. Let o = -25 + 43. Calculate the greatest common factor of r and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4282991291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let l(p) be the second derivative of 5*p**3\/2 + 6*p. Calculate f(l(v)).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-33)\/6 + 5)*-4. Let j(r) = r**3 - 11*r**2 + 10*r - 2. Let o be j(10). Which is the nearest to o? (a) h (b) 1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o**(-22)\/o))*o*o*o)\/o*o*o*o*o\/(o*o\/((o**(1\/4)\/o)\/o)))**(-2\/63) assuming o is positive.\nAnswer: o**(79\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-10))\/48 - (73 - -1)\/2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 1. Let t(w) = 14*w. What is g(c) + t(c)?\nAnswer: 15*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0442 - -0.044201045. What is f rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q + 8. Let x(j) = -1. What is r(f) - 6*x(f)?\nAnswer: 3*f + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(30\/21)*2. Suppose -5*o + m + g = 0, -5*o + 1 = -5*m + 6. Suppose z - 16 = -o*p - 0*z, -2 = p + 3*z. 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: Suppose -2*h + 90 = 2*l, -61 - 39 = -4*h + 6*l. Let o(p) = 2*p**2 - 75*p + 42. What is o(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38641.\nAnswer: 17, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u + 5*y - 27 = 0, 4*y - 12 = 0. Suppose -25 = f - o - 4*o, 15 = 2*f + u*o. Solve -3*v + n - 7 = 0, f = n - 2*n - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 8*p - 3. Let q be u(6). Let f = -6 + -8. Let s = f - q. Solve 0 = -3*c - 3*l + s + 2, -3 = c - l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 8:40 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 933769.6 millimeters to micrometers.\nAnswer: 933769600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j\/((j**(2\/11)\/j*j)\/j)*j*j*j))\/j)\/j*j**2)**(-5))**(-50) assuming j is positive.\nAnswer: j**(-13250\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -10\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 74\/3, -0.3, -1\/2?\nAnswer: 74\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 - 50. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -35, -45, -51, -53?\n\"Answer: 2*w**2 - 20*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/5235 and 181\/30.\nAnswer: 10470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101000101010001001 - -101?\nAnswer: 11000101000101010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -386*d**3 + 8923*d**2 - 17*d - 90608?\nAnswer: -2316*d + 17846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24649 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 prob of sequence xvvv when four letters picked without replacement from {i: 1, h: 4, y: 1, k: 5, v: 7, x: 1}?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + h**2 - h**2 + 5167*h**3.\nAnswer: 5167*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3005510 is divided by 55.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 736230751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13993563 is divided by 1179?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.4 and -124493.\nAnswer: -124486.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13*f**2 - 15*f. Let u = 111 - 113. Let c(x) = -7*x**2 + 8*x. Let n(z) = u*q(z) - 5*c(z). What is the second derivative of n(a) wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164770000 rounded to the nearest 1000000?\nAnswer: -165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 16 = 4*l, 3*l - 3*c - 24590 + 24587 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(2*y**2 - 5*y**2 + 5*y**2) + (-4*y + 15 - 15)*(6*y - 2*y + 1 + 15).\nAnswer: -14*y**2 - 64*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -3. Let y = 11 - a. Let u(j) = j**2 - 5*j - 1. Let v be u(6). Solve y*g = -2*g - v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 4*y - 4*a + 23, -2*a = 3*y - 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1))\/m)**(-22)*m**(-9)\/(m\/(m**(-3\/2)\/m*m)) assuming m is positive.\nAnswer: m**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) -13 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-1179893.06.\nAnswer: 4719572.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruuragabbuucacb. What is prob of sequence rba?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 174\/(-12)*(2 - 0). Let y be (n\/2)\/(2\/(-4)). Suppose 4*f + r = 2*f + y, 2*r = 5*f - 50. Solve 2*k = -k + f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56 - 14 + 23)*(-98*a**4 + 2*a**2 - 161*a**4 + 25*a**4) to b*a**2 + j*a + k*a**3 + h*a**4 + d and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -23*j**2 + 16*j + 0*j**3 + 41\/20*j**5 + 0*j**4 + 0. What is the derivative of n(o) wrt o?\nAnswer: 123*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 4 + -18 - (-11)\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 922.49 + -922.47. Let w(v) = v**2 + 2*v - 4. Let o be w(-3). What is the nearest to -1\/2 in m, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -7*s**3\/3 + 12*s**2 - 11*s. List the prime factors of q(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1043 and 756.\nAnswer: 112644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 + -1) - (-32 - -31)) + 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14848)\/3840*(-105)\/14\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30260000 rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5477, -10953, -16429, -21905, -27381?\nAnswer: -32857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or -36?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -3*q**5\/5 - 27*q**4\/2 + 85*q**3 - 99*q**2 + 3162. Suppose t(m) = 0. Calculate m.\nAnswer: -22, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/701 - 24547\/2804. Calculate the common denominator of x and 46\/13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2)\/(8 + 330\/(-40))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y + 91. Calculate g(29).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l - 12 - 6*l + 29*l - 8*l. Let q be s(12). What is q rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 11*l = -2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17068 = 15*m - 36557. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1138*r = -1146*r. What is the nearest to -73 in -1, r, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122\/6 - (276 + -258) - 170\/6.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvz when three letters picked without replacement from {d: 9, r: 2, z: 3, v: 1, l: 1, j: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -114 or -455\/4?\nAnswer: -455\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1417*p**3 - 4 - 740*p**3 + 1 + 2 - 781*p**3 + 1.\nAnswer: -104*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 294 - -f?\nAnswer: 2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5126 and 5359.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1201 + 121?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*h + 19 = -h, -5*a = 5*h - 15. Let m(v) be the second derivative of -1\/6*v**2 + 1\/15*v**5 - v + 5\/18*v**3 + 0 - 2\/9*v**a. Factor m(d).\nAnswer: (d - 1)*(2*d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 + 28*r**2 + 2*r + 12. Determine f(14).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -4*v - 3*i - 2*i, 6 = -3*i. Put 3, 2, v in descending order.\nAnswer: v, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-5366*v - 128 + 267 - 139).\nAnswer: 5366*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111 - 109. Suppose 6*p - a*p + 3*h = -19, p = -h - 5. Let g(y) = -y**2 - 1. Let v(w) = -5*w**2 - 2. Determine p*g(b) + 2*v(b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**3*j**3*l**2 + 4309*f**3*l**2 + f**3 + f**2*j**2*l**2 - 11*f*j*l**3 + 2*f*l**3 + 138805*j**3*l**3 + 23*j**2*l wrt j?\nAnswer: 24*f**3*l**2 + 832830*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 - 73 = 3*w + 5*i, 0 = 32*w - 3*i + 73 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 806\/52)*8\/3 + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.56 + 0.46. Which is the fourth biggest value? (a) 3\/5 (b) 5 (c) -5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1. Let g(i) = i + 1. Let r be g(-1). Suppose u - 4*u = r. Suppose -2 = -3*c - 2*l + 11, u = c - l + 4. Let w(v) = v**3 - 6. What is c*w(o) + 6*p(o)?\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -947\/4 - -239. Find the common denominator of d and 5\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/243 and -47\/51?\nAnswer: 4131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 22*x**2. Let l(j) = 184*j + 175*j + 9 + 170*j + 176*j - 689*j. Give l(i(a)).\nAnswer: 352*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 76519495 to the power of 1\/2, to the nearest integer?\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 10*r**2 + 49 - 26)*(-3 + 0 + 0) to o*r**2 + q + a*r and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - d - 1 = 0, 294*d - 292*d = 2*u + 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r + 7. Let s be (3 - (-7)\/(-2))*16. Does 25 divide c(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 420.594 - -0.406. Let d = t + -421.1485. Round d to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 1\/20*i**6 + 0*i**3 + 0*i + 0*i**4 + 2*i**2 + 0*i**5 - 5 + 1\/70*i**7. Let f(c) be the second derivative of v(c). Factor f(a).\nAnswer: 3*a**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 4*h - 3. Let k be c(-5). Suppose 0 = 1637*w - 1618*w. Solve -2 = k*y - w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.2 + 24.3. Let s = 2772\/5 - 555. What is the closest to -0.5 in -2, r, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 739293\/1232105 - 6\/246421. Let g(v) = -v. Let x be g(0). Factor 3\/5*f**4 + 0 - c*f**3 + 0*f**2 + x*f.\nAnswer: 3*f**3*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 242*q + 5203. Determine d(-24).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqtinijtqtntnnjntt. Give prob of picking 1 j, 1 t, and 1 n.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 + (8 - 1) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**(-7)*c)\/c))\/((c*c*c\/c**28*c*c)\/c)*c**(-2\/9)\/((c\/c**(-3\/20))\/c))**45 assuming c is positive.\nAnswer: c**(5693\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.5 + -8. Let m = 1 + d. What is the closest to -0.1 in -2\/11, m, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 1\/14*q**7 + 2\/5*q**6 - 11 + 0*q**3 + 0*q**2 + 1\/2*q**4 + 3\/4*q**5 + q. Find y such that r(y) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 8) in base 2?\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (12 - 2) + 94 + -92.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 450, -1, 1095 in decreasing order.\nAnswer: 1095, 450, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -2. Let x be h\/(-1)*50\/(-20). Let k be 3\/(-15) + (-32)\/x. Solve 4*p = p + k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28320340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 1904.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, i: 6, k: 1, j: 7}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3599428.749 rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342d (base 16) to base 7.\nAnswer: -53641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.4 and -6.92?\nAnswer: -16.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*r - 34. Let m be 2\/(-5) - r\/(-5). Let x(c) = 2*c**2 - m*c - 3*c + 5*c. Let a(z) = -4*z. Give a(x(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0466117 and 0.5.\nAnswer: -0.02330585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 513 + -459.26. Round y to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17639262 is divided by 20801?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/10)\/u**(-1))**(11\/7)*(u**(-4\/7)\/(u*u**(-5)*u))\/(u\/u**2*u)**(-23) assuming u is positive.\nAnswer: u**(269\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11026 - 6786. What are the prime factors of v?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6702122?\nAnswer: 2, 7, 68389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g**3 - 10*g**2 - 2*g + 2. Let p be x(-2). Suppose -l = p*l - 75. Solve -11 = 3*h - 5*c - 1, l*c - 10 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.31134 and 8.58.\nAnswer: 8.26866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/175 + 27208\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107 >= 2083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4421 + -4596. Is -178 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1364*k**6 + 8*k**4 + 24220*k**2 + 24*k.\nAnswer: 163680*k**3 + 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 3:03 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11241 and 11241.\nAnswer: 11241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2373*x - 160204 = -53419 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 35\/3, -0.3, 0 in decreasing order.\nAnswer: 35\/3, 10, 0, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -284*u**3 + 7*u**2 - 2*u + 11. Let t(w) = -851*w**3 + 22*w**2 - 7*w + 39. What is 7*i(y) - 2*t(y)?\nAnswer: -286*y**3 + 5*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/1 + 11 + -6 + -1. Suppose 3 - 51 = -4*v. What is the second derivative of -3*j**4 + 3*j - v*j**4 - d*j - 24*j**4 wrt j?\nAnswer: -468*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saaassaasaassy. Give prob of picking 1 a and 1 s.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (395\/1185)\/(1\/51)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10646 = 17*f + 2792. Suppose -17*l = 4*l - f. What is the lowest common multiple of l and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 12*w = 2*l - 48, -4*w = -l + 36. Let i be (10\/45)\/(w\/3) - 2. Which is smaller: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlvl when four letters picked without replacement from {v: 1, l: 1, q: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -74 and 0.0792.\nAnswer: -73.9208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-5)\/(-10))\/((-1)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 244768*y + 3*y**2 + 332805*y.\nAnswer: -y**2 + 577573*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 2:21 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19710 and 61257366?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 11 - (-19 - -8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2. Let f(g) = -8*g + 3. Determine -6*f(l) - 7*t(l).\nAnswer: 48*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**3 - 4. Let w(z) be the second derivative of 0*z**3 + 0*z**4 + 2*z + 0 + 2\/5*z**5 - 5\/2*z**2. Determine 5*t(m) - 4*w(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 894835.7 nanometers in centimeters?\nAnswer: 0.08948357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 4*v - v - 2*v - v + v + (-v + 0*v + 3*v)*(-2 - 2 + 2) - v + v + 2*v)*(3*v + 3*v - 4*v) to n*v + u + h*v**2 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*p**3 + 5260*p**2 + 51896*p + 32256.\nAnswer: -4*(p - 448)*(p + 9)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 271486088?\nAnswer: -271486084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/2))**38\/((f**0*f)\/f**5))**30 assuming f is positive.\nAnswer: f**690","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x**3 + 5*x - 9*x**3 + x**2 + 24*x**3 to the form l*x**3 + z + h*x**2 + o*x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nineteen quarters of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4408*y + 97841. Calculate g(-22).\nAnswer: 865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532839 is divided by 382?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 72*z**3 + 402*z**2 - 792*z + 459.\nAnswer: 3*(z - 17)*(z - 3)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 5 (b) 2.89 (c) -0.1 (d) -2 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(-4 + 2 + 4)*(1125394 - 1125394 + 307*w).\nAnswer: -1842*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 27, -821, 2, -2 in descending order.\nAnswer: 27, 2, 0, -2, -821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13058816 and 1294624?\nAnswer: 300352768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -8. Which is smaller: -9 or x?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*((-m**2 - 2*m**2 + 2*m**2)*(-3 + 1 + 3) + (m - 5*m + 2*m)*(-15*m + 6*m + 29*m)).\nAnswer: -41*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -y - 4*a - 58, -5*y + 5*a = -60. What is the greatest common factor of y and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 + -4)\/3)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 - 4209786*m + 551243*m.\nAnswer: -3658543*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.604 + -0.396. Suppose y - 217 = -4*x, 4*x = -y - y + 222. Let h = -211\/4 + x. What is the nearest to h in s, -5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6190124 is divided by 1801.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -571, -577, -593, -625, -679?\n\"Answer: -x**3 + x**2 - 2*x - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l + 131 + 155 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w + 5*w - 5*w. Let j be (-15 - (-10 + -1)) + (-1 - -3). Let r(b) = b. Calculate j*l(y) + 6*r(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*(q*(q**7*q)\/q)\/q)\/q)\/q)\/q**(-1\/4))**30)**(-45) assuming q is positive.\nAnswer: q**(-16875\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18947180 divided by -2706740\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(660))\/sqrt(12))\/(sqrt(44)*5).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 414 + -428.5. Let g = d - 38.5. What is the smallest value in 5, g, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 474 divided by 158\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(2\/5))*x**(-8\/3)*(x\/(x*x\/(x*x**9*x)))\/(x*x**(-4)))**15 assuming x is positive.\nAnswer: x**161","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 16*u + 203. Let r be m(-7). Solve -2*o - 5*h + r - 166 = 0, -o - 6 = -h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/(-175))\/2)\/((-596)\/1490)*(-4)\/7.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 557256 by -185752.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**3 - 22600*t**2 - 866635*t + 2803170 = 0. What is t?\nAnswer: -41, 3, 4558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 9*t + 5*t)*(-t - 2 + 3*t + 0) + 10 - 5*t**2 - 10.\nAnswer: -9*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 580824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*h - 3024 = -140*h + 400*h - 175*h for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 564.44 * -2421.\nAnswer: -1366509.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 63d5 (base 15) to base 10\nAnswer: 21125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 8*w**2 + 3*w. What is g(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342901 and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5)*1 - (-512)\/80*1. Let q(m) = 4*m + 1 - 5*m + 2*m. Give q(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 8*w**2 + 2*w + 7. Calculate p(7).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l - 48. Let s be v(-9). Let m = -15 + 15.5. Which is the third biggest value? (a) -3 (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 140 = -138. Is (-2837 + 4)*(0 + i)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.18 + 3.88. Let u = 29.7 - w. Let t = u + -26.029. Round t to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/135 and 197\/210?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 514, 449, 342, 193, 2, -231?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41832.82 meters in nanometers?\nAnswer: 41832820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-2 + -2 + -28)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -63 - -e4b8?\nAnswer: e455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * -8.12525\nAnswer: 6.5002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 l, and 1 v when three letters picked without replacement from mmvwzul?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3310 = -2*l, 4*q - 3*l - 3010 = 299. List the prime factors of q.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6524 + -2002. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9453, -12960, -18803, -26982?\nAnswer: -37497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1456*m - 20*m**2 - 2*m**3 + 1456*m + 75*m**2 wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11253853 divided by -13.\nAnswer: 865681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 17 = -163 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -55, -31, 13, 83, 185?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*p - 61*p - 9 - 4*p**3 + 7 in the form k*p**2 + q*p**3 + l + i*p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, -420, -1821, -4518, -8931?\nAnswer: -15480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/16 + (1 - 0). Suppose -16 + n = -2*g. Let j(p) = -2*p + 7. Let m(a) = -3*a - 2 - 9 - 13 + 34. Determine g*j(x) - 5*m(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30133122 + 3110?\nAnswer: -30130012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -484427339 divided by 29?\nAnswer: -16704391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*b + 235 = -5. Let a(w) = -9*w + 33. Let d(c) = -c + 6 - 5 + 3. What is b*a(s) - 33*d(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(396) + sqrt(396) + 1)**2*4 + -4*(sqrt(891) + sqrt(891) + -1).\nAnswer: 24*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 556 divided by 45257.\nAnswer: 556\/45257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 a factor of 11980310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and 863.\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 1 - 1 = -n, -n = -5*g - 2. Suppose 41 = n*p - 137. What is the remainder when p is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 - 3*p + 7. Let j be b(-5). Let z be 4\/14 + j\/(-21). Solve -5*m + 14 + 14 = t, -2 = -z*t + 2*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + h**2 - 3*h + 1. Let w(o) = 8*o**3 - 40*o**2 - 28*o - 60. Let r(s) = 12*j(s) + w(s). What is g in r(g) = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*u - 167*u + 10 = -5*y, -55 = 5*y + 10*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, q: 3, a: 3, b: 2}. Give prob of picking 3 q and 1 b.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 0.4 (b) 13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:02 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 3*p - 13 - 4, -p - j - 1 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 25*m**3 - 1024*m**2 - 80*m + 80. Determine d(41).\nAnswer: -1519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (4 - -2) - (0 - (8 - 15)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 e, and 1 k when three letters picked without replacement from {m: 2, c: 1, e: 4, j: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = -4*c + 221293. Let h = 186273\/16 - c. Calculate the common denominator of 95\/12 and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 37.88. Let p = h - 0.98. Which is the third smallest value? (a) -3 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -2. Let x = -0.3 + y. Let p = 531 + -531. Which is the closest to x? (a) p (b) -0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - q = 4*j - 18, 0 = 2*j + 3*q + 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 1\/6*r**3 + 12*r**2 + 1\/12*r**4 + 0 + 33*r. What is l(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1344\/(-10530) - (-2)\/(-3). Let b = 2\/351 - t. What is the second biggest value in b, -6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1723 + 1723.01. Let q = 100.8 + -101. Put 5, x, 0.03, q in descending order.\nAnswer: 5, 0.03, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 4*k**2 - k**2)*(0 + 0 - k) + k**3 + 4*k - 4*k - 15*k**3 + 26*k**3 - 27*k**3 + (k - 2*k**2 - k)*(0 + k + 0).\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16868\/123539 - -4\/731. Find the common denominator of 16\/2847 and f.\nAnswer: 37011","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 201594 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(7\/5)*v*v*v**(1\/26)*v*v)\/((v*v**37)\/v**32))**(5\/2) assuming v is positive.\nAnswer: v**(-73\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 983*n - 2*n**2 + 977*n - 270 - 1960*n in the form y + j*n + k*n**2 and give y.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 198015521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lla when three letters picked without replacement from ladlllalaglalll.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-3)\/(-2) - 2\/4. Solve -2*i - 3*i - 5 = l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -5, -10\/13?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*v + 168061 - 84030 - 84031.\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*f - 10. Suppose 386 = 24*w + 2. What is the derivative of -f*m + 4*m + 6*m - w + m wrt m?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*z**5 + 15885*z**4 - 199320*z**3 + 983440*z**2 - 1703680*z + 947200 = 0.\nAnswer: 4\/3, 8, 185\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/40 + 0)*(3 + 1). Let g = -6 + 11. Let m = 21 - 22. What is the closest to m in r, g, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = -53 - 67. Let z be (105\/c - -6)*-20. Let w be (110\/4)\/((-12)\/(-24)). Is w less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20449431 and 3039?\nAnswer: 20449431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -101*t**2 + 3*t + 3. Let k be x(-1). Let v = 113 + k. What is the remainder when ((-159)\/(-9) + 0)\/(4\/v) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-5) - 3\/5 - 2151\/2868?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l + 20. Calculate z(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -265851893*w - 181783518 wrt w?\nAnswer: -265851893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3550\/8109 - -6\/901. Let d = 0.2 + 0. What is the second smallest value in -1\/2, d, r, -5\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 16. Let a be g(0). Let j(o) = -6*o - 3. Let b be ((-1)\/(4 + -5))\/(-1). Let k be j(b). Solve a = 7*d - k*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 772?\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61003*a = -61016*a - 377 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0 + 11\/12*m**5 + 22*m**2 + 0*m + 0*m**3 + 1\/6*m**4. What are the prime factors of l(1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 3:03 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 285226800 to the power of 1\/3, to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101214 = 15*v - 423501. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104967969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 73 + 30*t + 12 + 18 to p*t + j and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 10*q - 10. Let b be -6*12\/(-27)*3. Let l be i(b). What is the units digit of ((-26)\/(-3))\/(4\/l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:54 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/3 - 151*g**4\/3 - 51*g**3 + 151*g**2\/3 + 152*g\/3 = 0. Calculate g.\nAnswer: -1, 0, 1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 61*k + 5*k)*(-1 + 2 - 3)*((3 + 0 - 1)*(-3 + 1 + 4) - 26 + 72 + 76)*(0 - k + 0).\nAnswer: 15120*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 8:46 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21201013010 (base 4) in base 14?\nAnswer: 48d324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 divided by -4?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(3522\/11 - (-16)\/(-88)). Let l = -227 + o. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -8 + 0*o**2 - 2\/3*o**3 + 0*o. Solve t(c) = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-5))\/((-6)\/40). Suppose 2*u = -u + r. Suppose 4*a = -0*a + u. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36.919 and -2056.\nAnswer: -2019.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**4\/16 + 3*j**3\/8 - 3*j**2\/4 + 11*j. Factor y(n).\nAnswer: -3*(n - 2)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-12))\/((-3)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4021 + 996. Let o be (1 - -6)*(-426)\/7. Let u = o + l. What are the prime factors of u?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*0\/((-4)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (81\/(-45))\/(-3) + 204\/10. Sort 5, 1, -3, u in descending order.\nAnswer: u, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 188456 + -94981783\/504. Find the common denominator of d and 27\/364.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 702.81 - 705. Which is smaller: -3 or l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 2*f + 5, 17*f - 20*f = g - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/20*(280\/(-63))\/(-8))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1884.6 + 1891.6. Is d > 2\/289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -935*z - 706. What are the prime factors of h(-11)?\nAnswer: 3, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + s**2 - s**3)*(-3*s + 0*s + 2*s) + (-3*s - 2*s + 4*s)*(s - s - 3*s**3) + s**4 - 3 + 3.\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -100111001101101?\nAnswer: 100111001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2 + 1386*z + 133864 = 0?\nAnswer: -577, -116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -23, 1, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 23*p - 3 + 15 - 6 - 5. Let f(d) = -10*d - 7. Let z(q) = -34*q - 20. Let m(h) = 17*f(h) - 6*z(h). Calculate 7*c(b) - 5*m(b).\nAnswer: -9*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 7031 and 1.\nAnswer: 7032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20356324 (base 9) in base 7?\nAnswer: -146063443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - 12. Let v = -37 - k. What is the nearest to -1 in 5, v, 7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 5*r. Let z be k(6). Let f(w) = 27*w - 8 - 47*w + 22*w. List the prime factors of f(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-g + 8*g**5 + g)*(4 - 2 - 1).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-12 + 7 + -10) - 46?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/4 - 15\/(-12). Suppose c*a + 2*a = 64. Let g = a + -9. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xixjxjviijvvi. What is prob of sequence ijxx?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 292.9 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0791656 rounded to 3 decimal places?\nAnswer: 1.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8296994291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947\/116 > 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*h = 295, -4*h = -t - 2*t + 335. What are the prime factors of t?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 1\/240*d**6 + 0*d**5 - 1\/32*d**4 + 0*d**2 + 0 - 1\/24*d**3 + 11*d. Factor c(j).\nAnswer: j*(j - 2)*(j + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 11 = 3*m - 21, 10*m = 3*r + 4*m + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 660198 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-42)\/756)\/((-1)\/(-2)). Which is greater: d or -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/7979240 and 43\/12350.\nAnswer: 518650600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1187845*i - 1187831*i + 4*i**2 - 63*i**2 to the form z*i**2 + v*i + n and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129690 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 11*k**4\/12 + k**3\/2 - 6*k. Let q(y) = 232*y**2 + 64*y. Let w(o) = -64*g(o) + 3*q(o). Let m(p) = 2*p**2. Give m(w(b)).\nAnswer: 128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2500\/60)\/(-25)*(-9)\/(-40)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/19)\/(h*(h**(-5\/6)\/h)\/h))**(-30))**(-3\/11) assuming h is positive.\nAnswer: h**(2955\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (1 - 1) - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17674 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000288159996 rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1359*j - 13602 - 16797 = -3219 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*g**5 - 20*g**4 + 4*g**2 - 8356*g wrt g?\nAnswer: -360*g**3 - 240*g**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3190 and 880?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -4*n, 6751*w - 2*n + 4 = 6748*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78502086 is divided by 88.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 379820000 to the nearest one million.\nAnswer: 380000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 4*p**2 + 0*p**2)*(3*p**3 - 5*p**3 + 0*p**3 + 2 - 2 + 2*p**3 + (p - 4*p + 4*p)*(4*p**2 + 0*p**2 - 2*p**2) + p**3 + 5*p**3 - 4*p**3).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.55 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 84*v - 668. Let g be n(8). Put -5, g, 7 in ascending order.\nAnswer: -5, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 7. Suppose 0 = -15*o + 11*o - 36. Suppose -6 = -x + 4*x. Put j, x, o in descending order.\nAnswer: x, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - j - 49 = 2*j, -237*f = -129*f + 32*f + 2*j - 2250 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -1003043?\nAnswer: -1003043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 1:15 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9338 - 5397. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 5. Calculate the remainder when r(3) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-42)*(-16)\/((-4800)\/(-135))?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**5\/2 - 18483*r**4\/2 - 240717*r**3\/2 - 426477*r**2\/2 + 1453725*r + 1555848 = 0.\nAnswer: -8, -7, -1, 3, 6174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000040767175 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -38813\/9, -22\/5?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4826286*j**3 + 25263865 wrt j?\nAnswer: -14478858*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16153 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24776*w**5 + 303*w**2 + 20*w + 3845589 wrt w?\nAnswer: -495520*w**3 + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4147*u + 2012*u + 1394*u)*(u - u - u)*(-5*u - 14 + 14) as s*u**2 + c*u + r*u**3 + y and give r.\nAnswer: -3705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7927, 15866, 23757, 31600, 39395, 47142?\nAnswer: 54841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 664658 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -13. Suppose -2*n + 0*n + l = 0. Let f(m) = -2*m. Let u(w) = -w**2 - 7*w. Let y = -21 + 19. Determine n*f(c) + y*u(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*c + 18 = 0, 4 = -2*u - 3*c + 7*c. Let p = 17 - u. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -3. What is the common denominator of (-27)\/14*(-21)\/q and 2\/6 + (-362)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-2)\/(4\/6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 173091 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = -18*k. Let v(g) be the third derivative of 1\/8*g**4 + k*g + 0*g**3 + 0 - 1\/30*g**5 + 3*g**2. What is the second derivative of v(a) wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 1320 = -8*m. Is 25 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3116 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 360 or 362?\nAnswer: 360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3231236856 to the nearest integer?\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880640 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 159 = -5*o, -d + 6*o = 2*o - 73. Suppose -n - 31 = -j + 4*n, 2*j + 5*n = d. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 59309534 - 54624589. Let b = -1140233833\/30 + m. Let q = b + 29748. What is the common denominator of q and 167\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n + 2. Give y(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*w*w*w*w\/w**(-3))\/(w**3\/w**4) assuming w is positive.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 6*f**2 - 18*f + 108. Let h be n(6). Suppose 0 + h*w + 1\/5*w**2 = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**15*x*x**(-6)\/x*((x\/x**(-1\/11))\/x)\/x*x*x*x*x**(1\/8)\/x*x)**(2\/73) assuming x is positive.\nAnswer: x**(1075\/3212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {y: 1, g: 12}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 865 divided by 19619.\nAnswer: 865\/19619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52096 and 1207008.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106522, -106293, -106066, -105841?\nAnswer: -105618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*g + g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + x + 115 = -229, -4*g + 448 = -4*x. Let i be g - -2*(1 - 0). Let l = i - 82. What is the highest common factor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - 37*t + 53. Give a(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**3\/5 - 32*l**2\/5 + 76*l\/5 - 8 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 6 = -d. Let h(o) = -2*o - 2. Determine h(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 5:09 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5740.999996683 + -5741. What is i rounded to seven decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2, -20 = -7*m + 3*m - 4*i. Let z be ((-2)\/m)\/((-14)\/168). What is the third derivative of -r**2 + 14*r**6 - 10*r**z + 9*r**6 wrt r?\nAnswer: 1560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30834 divided by 1713.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2075 + -345. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 307145.\nAnswer: -9\/307145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165751043 is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8836, 8829, 8818, 8803, 8784, 8761?\nAnswer: 8734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14445 by -40.\nAnswer: -2889\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19.59 and 821989.\nAnswer: 821969.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1104 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1150, -1428, -1708, -1990?\n\"Answer: -c**2 - 275*c - 874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 divide 966060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)*i*i\/i**(-3\/17))\/(i*i**9*i)**(1\/8) assuming i is positive.\nAnswer: i**(-979\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + h + 0)*(4 - h**3 - 4) + (-3 - 1 + 7)*(-7*h**4 - 6*h**4 - 15*h**4) to s*h + d*h**4 + x*h**3 + o + n*h**2 and give d.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(204)*-4)\/(-3*sqrt(48) + (-2*sqrt(36) - sqrt(36))\/sqrt(3)).\nAnswer: 8*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o + 21*o - 19 - 53 = 0. What is the remainder when 1347 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 6*s + 18, -24*x + 5*s = -23*x + 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 3*k + 3. Let c(w) = 2*w**2 + 7*w - 7. Let i(t) = -t**3 + 3*t + 1. Let p be i(-2). What is p*c(m) + 7*d(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -8778.764 to the nearest 100.\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/119 and 67\/63.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175 + 197. Suppose l + 13 = n + t, l - 9 = -n. Solve -14 = -4*v - l*i + 4*i, 5*v - 13 = -4*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/((-3)\/3). Suppose -5*m - 4 = 1. What is the closest to -1 in m, k, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26369189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 2*c + 99 = 6*p + 9, -3*p = c - 38 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -417465 + 15?\nAnswer: -417450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 4*a + 41 = -8, -6*a + 216 = 156 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -184, -186, -188, -190?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -475675 divided by -5.\nAnswer: 95135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(16\/15) + (-2984)\/(-200)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 2*l - 9*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 19*h - 40. Let i be w(21). Find the third derivative of 19*d**2 - 2*d**2 - 40*d**3 + 28*d**2 - 7*d**i wrt d.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 20*h - 19. Calculate s(12).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 56976960 to the nearest one hundred thousand.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 9*d**2\/2 - 19*d - 1. What is the tens digit of x(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 4. Let y(x) = -x + 15. Let k be y(7). Let q(o) = -5*o - 3*o + 17 + k*o + 5*o. What is 9*c(a) + 2*q(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 6*u = -7*c + 242, c = 5*u + 24. Solve 0 = -c*d - 34*d + 340 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 + 73. Which is the nearest to 1\/4? (a) -2 (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/3249904 and 39\/928544.\nAnswer: 6499808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22c3 + 9?\nAnswer: -22b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/315)\/(4\/5*3\/(-24)*2)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**6\/120 + r**5\/6 - 5*r**4\/12 + 11*r**3\/6 + 29*r**2. Let g be q(-11). Solve g = 4*v + 4 - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, r: 1, n: 1, o: 2, x: 1, t: 1}. Give prob of picking 2 r and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-17)\/(-3) - 2\/3) + -1. Suppose -4*r - 1 = -9. Suppose -6*d = -r*d - 4. Solve 0 = -l + b + d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 374969*i.\nAnswer: i*(i - 374969)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + z + 14 = 0, 0 = -3*y - 4*z + 20 + 8. Suppose 0 = -4*u + u + y. Let n be -1*(u - 5) + 15899. What is n rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 235*q - 89553. Determine o(439).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2736 and 231040?\nAnswer: 2079360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820546?\nAnswer: 2, 53, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/27132 and -121\/1224?\nAnswer: 162792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -56, 5, 8, -602 in descending order.\nAnswer: 8, 5, 4, 0, -56, -602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2807\/3210 - 90\/107. Let y(k) be the third derivative of a*k**5 + 0*k + 16\/3*k**3 + 0*k**4 + 11*k**2 + 0. What is the derivative of y(b) wrt b?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 4:39 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - 1*sqrt(272)) + 4)**2*6 + 1 + -2*(sqrt(68) + ((sqrt(68) + -1)**2 - sqrt(68))).\nAnswer: -41 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/186 and 1 + -2 - 2\/84*57?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3*(5 + -4))\/(-1). Suppose -5*s - 3*i = -3742, 2*i - n*i = s - 748. Let o = s - 415. Is o a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18409642 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3328*l - 1565*l + 294831 = -1107*l - 3403*l for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -37. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 2, j: 8, s: 1}. Give prob of picking 2 f.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 18 = -3*h + 3*d, -8 = 2*d. Let f = -1 + 2. Suppose -5 = -h*v - f. Solve -2*p = 5*s - 2, 1 = v*p - 2*s - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a - 15. Let r(b) = b - 21 - b + 29 - 5*b. Let h(y) = 5*r(y) + 3*w(y). Let d(x) = -4*x + 9. Calculate -4*d(f) - 7*h(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01 + -0.11. Let h = 11.5 - 202.5. Let s = h - -191.3. What is the closest to a in 0, -2\/15, s?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**5\/2 - 17*v**4\/2 + 14*v**3\/3 - 246. Factor a(q).\nAnswer: -q**2*(q + 14)*(5*q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = u - 974 + 965, -4*t = 2*u - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 7:52 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 2. Let f = b - -3.6. Put f, -3, 3 in ascending order.\nAnswer: -3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*t**3 + 57*t**3 - 156*t**3 + 49*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 6:23 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 770?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -0.4 (c) 1 (d) 1\/757 (e) 0.05 (f) 373\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 + 3*t**2 + 0*t**2 + (t - t + 3*t)*(28*t - 18*t + 26*t).\nAnswer: 111*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60, 83, 120, 171, 236, 315, 408?\n\"Answer: 7*o**2 + 2*o + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3*g + 53 = 0, 4*t + g + 281 = -239 + 803 - 244 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 - 188. Let p = -273 - k. Solve p = 8*q + 22 + 18 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4*6 - (-505 - (-496451)\/986)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzz when three letters picked without replacement from zzvuuzuvzzkzkuzuau.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111011001010100 (base 2) in base 15?\nAnswer: 1d5d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/462 and -89\/462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.88 != -1.52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 255 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -46. Suppose 2*k - 2*h + 14 = n*k, k - h - 7 = 0. Is 20\/7 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 19.2. Let u = z + 2.2. Sort u, -1, -1\/3 in ascending order.\nAnswer: -1, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d514 (base 15) to base 4\nAnswer: -22333123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000.41033 rounded to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-32)\/n)\/n)**(-14))**(-2\/13) assuming n is positive.\nAnswer: n**(-924\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -2*m**3\/3 + 2*m - 21. Let r(a) = 9*a**2. Calculate r(k(t)).\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p + 5 = 2*t, -5*p = -5*t + 50. Suppose 2*z - 10467 = -t*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 213232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*c - q, -c + 3*q - 72 + 64 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 12:21 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13244.8065238 - 0.3\nAnswer: 13244.5065238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**5)\/d*d\/(d*d*d\/(((d\/(((d*d*d**31)\/d)\/d))\/d)\/d*d)*d*d*d) assuming d is positive.\nAnswer: d**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10)\/((-1)\/14)*(-11750)\/3290.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4595.6285 - -381821\nAnswer: 377225.3715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u + 25. Let z(r) = -5 + 10 - 10 + 90*r. Is z(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2822\/(-340))\/83*-380\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 70*w - 19. Let q be r(-11). Let b = q - -1480. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*z - 78985 = 0, 3*z + 0*z - 63219 = -4*o. Let h = o + -4864. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.04069 and -88 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20.1 - 10\nAnswer: -30.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**17*m*m)\/m*m**31)\/((m\/(m\/(m*m**(6\/13))*m))\/((m**(-1\/25)*m)\/m)) assuming m is positive.\nAnswer: m**(5037\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 + 3*g. Let i be k(-2). Suppose -5*y = -4*y - 2. Suppose -2*z + i = -y. What is the remainder when 15 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(24 - (-77)\/(-3)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5029 + -5026. Let x(n) = 17*n**2 - 49*n - 3. Calculate x(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6922320 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2 - 6. Let p be h*4 - 6\/2. Put -3, p, -2 in descending order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**(-5)*o))*o)\/o**(-4)*(o**(-2\/3)*o)**(-39) assuming o is positive.\nAnswer: o**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -3)*2*2. Suppose 5*y - d*y - 4 = 0. What is the least common multiple of y and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 478\/5 - 95. Let m(w) be the first derivative of -4*w - 6*w**2 - 1\/4*w**4 + 1\/6*w**6 - 11\/3*w**3 + 2 + z*w**5. Factor m(b).\nAnswer: (b - 2)*(b + 1)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 488 - 1732818053646\nAnswer: -1732818053158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/19)\/l*(l*l**6*l)\/l*l*l)\/(l**2)**(18\/7) assuming l is positive.\nAnswer: l**(366\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 50. Calculate z(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491040 (base 12) in base 15?\nAnswer: 185b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 10:44 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -9. Suppose -x + 5 = 5*v, -x - k*v = 2*x - 15. Suppose x*b + 16 = 9*b. Solve -4*l = -5*o - 12, b*l + 5*o + 31 = 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/6)*y*y*y)\/y*y**(-1\/5))\/((y\/y**(-1\/4))\/(((y**(-1\/6)*y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 537346428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 - 229*p**2 + 306*p + 311. Give h(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.122865624 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 547 divided by -2.\nAnswer: -547\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16961 = 4*g - 17219. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**4 + 1508*d**3 = 0.\nAnswer: -377, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1419, -1474, -1491, -1452, -1339, -1134, -819?\n\"Answer: 3*q**3 + q**2 - 79*q - 1344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 44*a + 49*a + 14, 0 = -3*y - a + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 5*k**2 + 5*k + 1. Let l be j(6). Let d = 8 + l. Factor o**3 + 2*o**d - 4*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2 + (-2 + 1 - 1)*(1 - 2 + 2))*(-4*v + 2*v - 3*v).\nAnswer: 25*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*j**4 - 4*j**3 - 446*j**2 - 4668912*j.\nAnswer: -636*j**2 - 24*j - 892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 2989?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 2*w**3\/3 - 7*w**2\/2 - w - 215. Let j be u(5). Solve -j = -3*y - 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57992 divided by 11\nAnswer: -5272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*z - 58733 = 1625*z - 20213 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -14 (b) 9 (c) 977\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (111 - 163 - 7*x - x + 6*x)*(4*x**3 - 6*x**3 + 0*x**3) as r*x**2 + l + s*x**4 + h*x**3 + i*x and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 40*x**2 + 7*x + 13. List the prime factors of f(45).\nAnswer: 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/2)\/((-2435)\/487*(-44)\/30)\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43141\/6 + 7209. Suppose m = 2*m + 136. Let k = m - -259\/2. Calculate the common denominator of k and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 1. Let j(s) = 1533*s**2 + 2*s + 2. What is j(n) - 2*m(n)?\nAnswer: 1531*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, -3\/4, 0.08, -0.48, -4\/3 in increasing order.\nAnswer: -4\/3, -3\/4, -0.48, -1\/12, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2609678 kilometers?\nAnswer: 260967800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-588)\/1617 + (-384)\/33 + 0 + 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1840 is divided by 244?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29319799 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72595533.\nAnswer: 3, 103, 239, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -711*a + 720*a - 53613. What are the prime factors of a?\nAnswer: 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*m**3 + m + 1 + 2*m**2 + 21*m**3 - 3 in the form h*m + g*m**3 + i*m**2 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 7) + -210 + 199.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**2\/2 + 139*o + 19321\/2 = 0?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**5 - 17*f**2*s**2 + 91*f*s**2 wrt f?\nAnswer: -40*f**3 - 34*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 126 + 3790*n**2 - 62.\nAnswer: 3790*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-290)\/(-3) - 5\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(3 - 2))\/1. Let k = 5 + j. Let n(p) = 17*p + 6. Let q be n(k). Round q to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 259 * 4\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232 divided by -2113981.\nAnswer: 232\/2113981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 158.7 - 140. Let u = w + -12. What is the third smallest value in 4, -0.1, 3\/5, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57441 (base 10) to base 13\nAnswer: -201b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1162, -2283, -3404, -4525, -5646?\nAnswer: -6767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 8*r**2 + 3*r**2 + 188*r**3 - 1 + 22*r**3 + 7 to n*r**3 + y + u*r + g*r**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/10284903 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -5*y - 2, 4*g = 3*y + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -30, -76, -160, -294, -490, -760, -1116?\n\"Answer: -2*h**3 - h**2 - 3*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 5*n**5 + 164*n**4 - 74493*n**3 - 4497568*n**2 - 3535348*n + 887568 = 0?\nAnswer: -82, -1, 1\/5, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 29.9999972. Round l to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 23*h**3 + 56*h**4 + 62*h**4 + 2 - 119*h**4 - 1 as m*h**2 + a*h**4 + v*h**3 + x + s*h and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 - 80. Suppose 2*r - 6*r + 3*y + n = 0, 0 = -4*r - 3*y - 12. Solve 3*l - 5*o + 19 = 0, 4*l - 3*l + 5*o - 7 = r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -4, 7, 16, 23, 28, 31?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2. Let f(u) be the second derivative of u**6\/180 + 2*u**3\/3 - 4*u. Let r(s) be the second derivative of f(s). Determine q(r(o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 349427, 349539, 349727, 349991, 350331?\n\"Answer: 38*o**2 - 2*o + 349391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58597226?\nAnswer: 2, 29, 1010297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + (32 - 99 - (-32 + -16))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-291\nAnswer: 58.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/((-17)\/34)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-822)\/39*19\/522. Let w = 4\/377 - v. Let c = 8585\/4686 - -1\/781. Find the common denominator of c and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2055 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, h: 8}. What is prob of sequence hh?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197 - -19 - (0 - 4)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/13)\/q)\/q**(-10\/9)*(q\/q**(1\/5))**(4\/7))**13 assuming q is positive.\nAnswer: q**(2012\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 3054*v - 78225.\nAnswer: 3*(v - 1043)*(v + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 135\/20 + (-6)\/8. Suppose o + 2*r = -7, o = k*o + r + 17. Let g = -2 - -3. Sort g, 2, o in decreasing order.\nAnswer: 2, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/743 or -656?\nAnswer: -2\/743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c - 2*r - 2304, -3*r + 4601 = 2*c. List the prime factors of c.\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c + 35. Let u be t(-21). Let i = 235 + -114. Let f = u + i. Calculate the remainder when f is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-3) + -12*(-2)\/11. What is the closest to 2\/9 in 2, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2822 + -2795. Solve -4*l + 2*b - 7 + n = 0, 0 = -l + b + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10519? (a) 1\/8 (b) -0.5 (c) 3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + -4 + -3*-4*sqrt(5)*-5 + -4.\nAnswer: -60*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*p**3 - 23*p**2 - 48*p**3 + 52*p**2 - 10*p**2 - 19*p**2.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 20. Let h be s(-15). Let b be (-17)\/((-119)\/462) + -2. Suppose 5*l - b = -h*a + 7*l, 62 = 4*a + 2*l. Solve -45 = 4*k - 5*m - a, m + 1 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = 8 - 24 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4796 - 1972 = 269*l - 4170 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 10)*((-14 - 7 + 2)*(21*l**5 - 49*l**3 + 49*l**3) + (l**2 - l**2 - l**2)*(-2*l**2 - l**3 + 2*l**2)).\nAnswer: -4776*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 10*d**2 - 17*d + 8. Let o be f(8). Suppose 4*g = p - 20, 0 = -o*g - g + p - 8. List the prime factors of (1\/2)\/((-4341)\/1086 - g).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 31 - (-16 - (-52 - -15)) - (0 + -64).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 47\/6, -79, -259?\nAnswer: 47\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 3. Let g(j) = j + 2. Let w(q) = 2*f(q) - 3*g(q). Let r be 4 - (3 - (3 - 2)). Let h(a) = -a**2 - 2*a**2 + a**r. Determine h(w(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1924 - 1924.3. What is the second biggest value in 0.2, 12.3, w, -2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttpppttttttpttttt. What is prob of picking 3 p?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*n**2 - 99*n - 30.\nAnswer: -3*(4*n + 5)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4563 - 5521 = 0. List the prime factors of m.\nAnswer: 2, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 65034, 260108, 585234, 1040412, 1625642?\n\"Answer: 65026*i**2 - 4*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:42 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 - 2*o**2 - 4*o + 1. What is v(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-50)\/(-218000)*160\/20?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2089331?\nAnswer: 367, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001 (base 3) to base 7.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - -22. Suppose -c = -3*o - 0*o. Is o\/(-12) - 211\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71548 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 837 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -307 divided by -26803\nAnswer: 307\/26803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 106664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3198 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304554 (base 6) to base 7.\nAnswer: 131104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 34*l + 30. Let t be u(-33). Let d(x) = 54*x**2 + 3. What is the tens digit of d(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*-6*(-2 + sqrt(11)) + sqrt(275) + -1*sqrt(275)*-3 + -4))**2 + 2.\nAnswer: -16128*sqrt(11) + 108434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, i: 1, x: 2, s: 2}. What is prob of sequence sfs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 30, 63, 114, 189, 294, 435, 618?\nAnswer: 849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 3\/64, 0.2, 5.8, 5 in decreasing order.\nAnswer: 5.8, 5, 0.2, 3\/64, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-46)*-7*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123713 and 85253?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 20*n - 5. Let q be x(-15). Let a = q - -63. Is 19 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 17*u - 11*u. Let g be -1*(-6)\/u*5. Suppose 0 = -3*d + 5*f - 7, 3*f - 8 = -5*d + 3*d. Which is the second smallest value? (a) d (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113330 (base 4) to base 6\nAnswer: 11032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484 = -186*n + 4018 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 343266 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -9*p - 8. Let y be (40\/25)\/(2\/(-10)). Let i(a) = 3*a + 3. Determine y*i(h) - 3*c(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9988*x**2 + 6986*x - 3938*x - 44*x**5 + 7076*x**3 - 52 + 1020*x**4 - 876 = 0. Calculate x.\nAnswer: -4, -1, 2\/11, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -18. Let q(z) = -z**3 + 4*z**2 - z. Let c be q(4). What is the nearest to -0.1 in m, 3, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**4 - 56404*x**3 + 3563356*x**2 wrt x.\nAnswer: -24*x - 338424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -3*l. Let g be (-4 - 36\/(-10))\/((-2)\/10). Sort l, g, -38.\nAnswer: -38, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**22*r*r*r*r**19 assuming r is positive.\nAnswer: r**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -568*y - 31895. Give j(-54).\nAnswer: -1223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3113*h**2 - 120*h + 32. What is the tens digit of o(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 + 5*u**2 + 2*u**2 + (-2*u**2 + 5 - 5)*(-1 - 1 + 1) - u**2 + 3*u**2 - u**2 - 4*u**2 + 6 - 6.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-8))\/(8\/80*-5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 0. Is o\/(2\/(-18) - (-4585)\/40455) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**2\/8 - 2277*p = 0?\nAnswer: 0, 6072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -33. Let d = 8 + -11. Let k = 3.1 + d. Sort g, 3, k in increasing order.\nAnswer: k, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20349 + -20351. Which is the third biggest value? (a) k (b) 5 (c) 913\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -346 - 2?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(70)\/sqrt(10) + sqrt(7) + -5*(1 + sqrt(7)).\nAnswer: -9*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (25 + -68 - (77 - 37))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pqqqpqpdpqq?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.206378 rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b. Let p(g) be the second derivative of -3*g**3\/2 + 20*g. Calculate c(p(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 420.84 - 428.84. Which is greater: x or 29\/39?\nAnswer: 29\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from -4.8.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - 4 - (136 - 120).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 3*i**2 + i + 4. Let m be x(-2). Which is the third biggest value? (a) 1 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t - 45*t + 2*t + 84*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/24)\/(47\/(-1504))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (8 - 16 - -21)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 93, 504, 1209, 2226, 3573, 5268, 7329, 9774?\n\"Answer: 3*v**3 + 129*v**2 + 3*v - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.430701 rounded to 1 decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 1135 = -o. Let l = o + -589. Does 57 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -369357822.\nAnswer: -369357818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24599457 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/6, 4\/7, 200, 1, -7, -2\/9?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -20*b - 40. Let p be k(-2). Let j(i) = -2*i**2 + i + i**2 + 2*i**2 + 8. What is j(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 11:56 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j - 10. Let p = 10 - 6. Let h be y(p). Suppose 12 + 96 = 4*i - 4*z, h*z = i - 22. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 3*z - 6. What is a(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-45))\/((-15)\/(540\/(-8)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/(-18) - -7)*18\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjsj when four letters picked without replacement from {n: 11, j: 3, s: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-6 - -4) - (140\/(-24))\/1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 9) + 20 + (4 - 15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 3:11 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6876, -27488, -61836, -109920, -171740, -247296?\n\"Answer: -6868*z**2 - 8*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 4, w: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132 + 396 - 133 - 3*l**3 + 37*l**2 - 132*l**2 - 134 to the form p*l + s*l**2 + z*l**3 + t and give s.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 35. Calculate s(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665346 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 25 = -g, z = -4*z - 4*g - 56. Which is greater: z or -13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161969?\nAnswer: 161969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16))\/(252\/48)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102201220121201 + 11?\nAnswer: 1102201220121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240728?\nAnswer: 2, 30091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*f + 25*f + 27*f)*(-52 + 9 + 3) to the form r + g*f and give g.\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 0.385\nAnswer: -0.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 23?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000156641 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -653088 - 396912. Round q to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1738*d - 10*d**2 + 3811*d - 2073*d.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = a, -a + 6*n - 15 = 2*n. Let y(q) = -3*q + 7. Let r be y(a). Let m be r\/28 + (-9)\/(-7). Calculate the greatest common factor of m and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.31 - 5.61. Let j = -5 - q. Let d = 2.3 - j. Which is the biggest value? (a) -4\/3 (b) d (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**2 + 10*h**2 - 4*h**2 to the form x + c*h**2 + g*h and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 + 10*d + 7. Let x be i(-6). Let s = x + -62. What is the remainder when s is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 - 5*q - 5. Let w(n) = -5*n**2 - 6*n - 6. Let o be 56\/9 + 2\/(-9). Let h(v) = o*p(v) - 5*w(v). Let f(g) = 11*g. Give f(h(z)).\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(700) - ((sqrt(700) - sqrt(700)*-1) + sqrt(700)))*-3 + (sqrt(7)*-1 + 2 + 3)**2).\nAnswer: 32 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -57. Suppose l - a = 4*a + 15, 2*l = 5*a + 35. Calculate the greatest common divisor of l and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*i = -168. Let b = i - -112. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than -245\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28, -26, -24?\n\"Answer: 2*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(144\/(-76)))\/(9\/(-36))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skfts. What is prob of picking 1 f and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:10 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from {p: 4, u: 2, x: 1, o: 1, i: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-6)*(1 - 108) and 1257\/540 + (-4)\/(-18)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*z + q - 15, -5*q = 4*z - 18. Solve -4*w = z*w + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t**5\/2 - 55*t**4\/2 + 51*t**3\/2 - 13*t**2\/2 - t = 0.\nAnswer: -2\/19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29762676 to the power of 1\/2, to the nearest integer?\nAnswer: 5456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1026531 and 5841.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, z: 2, t: 2, q: 9}. Give prob of sequence zzqq.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-3*3*sqrt(30)*2)\/(sqrt(2160)\/sqrt(10) - -4*(sqrt(6) - sqrt(96) - sqrt(6))))**2.\nAnswer: 729\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.003 + 14. Let y = j - -0.0029572. What is y rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -641, -772, -867, -908, -877, -756, -527?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(76) + -3 + -1))**2*2 - (5 + (-4*sqrt(76))**2*2*3).\nAnswer: -6565 - 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21.76894mm?\nAnswer: 21768940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/812 and -25\/812?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218a29 (base 13) to base 10.\nAnswer: 790448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjtjjtjttj. Give prob of picking 1 t and 3 j.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*m - 1540 = -0*k, 2*k + 5*m = 1010. Suppose -5*v = -6*u + u - k, 5*u = -5. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2\/9 + 10462*t\/9 - 3488\/3 = 0?\nAnswer: -5232, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238086 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2409 + 2411. Which is the closest to 3? (a) -23 (b) 1\/4 (c) -0.1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 828.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r**2. Let k(m) = 55*m - 2. Determine v(k(s)).\nAnswer: 33275*s**2 - 2420*s + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0) + (-11)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/4*6\/5. Solve 4*l - l - 24 = p*u, 3*l - 3 = -4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 3533210314?\nAnswer: 3533210315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*t + 84*t + 2*n, 2*n = -t. What is the fourth biggest value in -0.2, t, -2\/7, -55, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 less than -0.1698?\nAnswer: -0.2098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15910.\nAnswer: 2, 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 4\/10)*-5. Suppose d*n = -n + 6. Let s(b) = 5*b - 5*b + b**n. Let a(q) = 3*q**2. Determine a(s(z)).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*o - 2, -4*o - x + 5 = 6. Solve 3*f = 9, -22 = -2*i - 4*f - o*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52.5*-0.02217\nAnswer: 1.163925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4*o + 44, -3*m - 5*o - 36 = -3*o. What is the least common multiple of 36 and (36\/m)\/(9\/126*-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3425824 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01265973975 to 5 decimal places.\nAnswer: -0.01266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 445225 (base 6) to base 2\nAnswer: 1001001001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -582 - -584. Calculate the lowest common multiple of ((-10)\/4)\/(1\/(-4)) and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1\/6, 2, 9.94, 5 in decreasing order.\nAnswer: 13, 9.94, 5, 2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 33, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9795 (base 16) in base 4?\nAnswer: 21132111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 19*p. Let n(j) be the first derivative of -j**3\/3 + 247. Give n(u(h)).\nAnswer: -361*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/21*(-1701)\/(-5346). Let l = 12.4 - 1.4. Let g = 7 - l. Which is the third smallest value? (a) g (b) v (c) 0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 380, 895, 1628, 2585, 3772, 5195, 6860?\nAnswer: 8773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33767299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*a**2 - 2\/11*a**3 + 2\/11*a**5 + 0*a - 2\/11*a**4 + 0.\nAnswer: 2*a**2*(a - 1)**2*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-8))\/((104\/(-56))\/((-12)\/21))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 37. Let y = c - -51. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*k - 158, -206 = -2*i + 3*k + 58. Calculate the greatest common factor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 460 by 4.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 678 times 0.0496\nAnswer: 33.6288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 484273, 968596, 1452919?\n\"Answer: 484323*y - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h + 8 - 21 - 912*h - 1461*h.\nAnswer: -2399*h - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 209 in -8, 0.07, 41, -2\/35?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-19)*i*i*i**28)\/((i*(i\/(i*i**(-12)*i))\/i)\/i**(1\/13)) assuming i is positive.\nAnswer: i**(521\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 245427592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/10)\/(6*10\/150)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 2*m. Suppose p = m*d - 16, 12 = d + 2*d + p. Determine k so that 6*k + 2 + 2*k**d + 0*k**4 - 5*k**3 - 4*k**4 - k = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2393.1409 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**2 - 8*m - 8. Let x(l) = -8*l - 14. Let z(i) = -i**2 + 15*i + 25. Let b(p) = -5*x(p) - 3*z(p). Give 8*b(j) - 5*w(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208863 is divided by 1391?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/1611 smaller than 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 545\/18 - 61\/2. Let k = -4.71 + 1.71. What is the second biggest value in l, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 + 41*k + 14. What is n(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 74, 56, -92, -436, -1042?\n\"Answer: -11*v**3 + v**2 + 56*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/10 in -1.52, 4, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 119 - 3*2\/(-3). Suppose p = l + l - 270, 3*p = -l + s. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5, -7 in decreasing order.\nAnswer: 21, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/306 and -21\/170.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*d**2 - 279*d**2 - d**3 + 6 + 538*d**2.\nAnswer: -d**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.185 less than 943.592?\nAnswer: 943.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48983 is divided by 1232?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20122, -40235, -60346, -80455, -100562, -120667, -140770?\n\"Answer: o**2 - 20116*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18345667 take away -58337.8?\nAnswer: -18287329.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2486 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5458 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111011001 - 10011011011?\nAnswer: -1100010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-938 - 131 + 348 + 32 - 1008)*(5*t**5 - t**5 - 2*t**5).\nAnswer: -3394*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 4, -2.38, -1, 2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*12208729\nAnswer: 244174.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o. Suppose -6*d - d + 126 = o. Calculate the remainder when 422\/6 - 4\/(-6) is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -97*i + 10. Let a be w(-1). Let l = a - 107. Let s(o) = -2*o**2 - 9*o + 18. Let y be s(-6). Solve l = -y*d - 2*d + 3*b + 3, -4*b - 2 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6*x - 3028. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.01, -0.1, 3, 17\/10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 4*a + 6. Let w = 467 - -108. Let y = w + -573. Give q(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-288))\/((-161)\/85238) + -4 and -59\/378?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 + 148 = 0. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.932 - -0.068. What is the second biggest value in 41\/3, j, -1, 2\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1138 (base 12) in base 13?\nAnswer: -b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-4)\/((-72)\/(-78)). What is the second smallest value in -0.9, z, 4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + 7*g - g + 3*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 702, -5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 2)*(3 - 1 - 1) + 11 + 6 - 6)*(-6*d**2 + 32 - 32).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.1 (b) 5 (c) 2\/3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*z = -594 - 48 - 2284 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5742037.52 to the nearest one hundred thousand.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 9*w + 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 12 = 0, 0 = 2*o + 27*c - 23*c - 22 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {n: 2, d: 1, t: 1, r: 2, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 18*x = 10. Suppose -l + 23 = 5*v - 0*l, -x*v + 2*l + 14 = 0. What is the third derivative of p**2 - v*p**2 + p**4 - p**4 + p**4 wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 743368 - 5203528\/7. Factor 48\/7 + w*i - 12\/7*i**3 - 3\/7*i**4 + 0*i**2.\nAnswer: -3*(i - 2)*(i + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -j - 91 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 6*o**2 + o - 2. Let f be w(6). Let x be f\/(-14) + (-206)\/14. Is 13 a factor of ((-78)\/x)\/(4\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/12 - 2)\/(180\/(-720)). Sort 5, 1, h, -8.\nAnswer: -8, 1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-7)*o*o**(7\/4)*(o\/((o\/o**(-1\/9))\/o))**(-6\/11) assuming o is positive.\nAnswer: o**(1355\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 q, and 1 o when four letters picked without replacement from {k: 1, q: 3, o: 3, a: 6}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 3*c + 4*n = -517, 706 = 4*c + 3*n. Suppose -4*p + 3*m + 722 = -0*m, p + 2*m - c = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 57535572 and -0.3.\nAnswer: 57535571.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by ((-6210)\/(-14))\/5 + 2 - 42\/(-147)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45216 is divided by 2511.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.4, -5 in decreasing order.\nAnswer: 0.4, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6417353105 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(15\/(-99))\/((-26)\/(-312)*4)?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w + 16. Calculate t(-12).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**3 + 8*m**2 + 14*m - 47. Let w(q) = 12*q**3 - 15*q**2 - 31*q + 93. Let a(j) = 7*o(j) + 3*w(j). Calculate a(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -34*y**2 + 852*y - 39. Let k be f(25). Solve -10*l + 8*l + 4*g = 2, l + 4*g - k = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, t: 4, s: 1, h: 1}. What is prob of sequence teet?\nAnswer: 11\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 4*v**2 + v. Let j be f(4). Suppose 6*s = 3*s - j*r + 5, -4*r = -2*s - 30. Let i = 14 + s. Solve -3*z + i = -5*q, 0*q + z = 3*q + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1748152 and 650628?\nAnswer: 6572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.104 in 4, 1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 40408558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0*u + 4*u)*(0 + 0 + 1)*(-12 + 12 + 6*u).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/9 + 678310*h\/9 + 4747876\/3.\nAnswer: 2*(h + 21)*(h + 339134)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (255\/(-85))\/(3\/7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x - 5 = -45*x. Suppose v - 4*f - 25 = f, x*v - 3*f = 103. Solve 3*m + 4*l + v = 0, -2*l = -5*m + l - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/483)\/((-15690)\/164745).\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7868*v**3 - 23644*v**3 + 7885*v**3 + 7887*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64403\/11625 + -481\/93. Calculate the common denominator of c and -13\/475.\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. What is the third derivative of 3*f**y - f**3 + 4*f**3 + 3*f**3 - 4*f**3 wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9432? (a) 0.05 (b) -2\/17 (c) -0.02 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 15362*f - 15356*f - f**2 + 30747*f to the form t + z*f + k*f**2 and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = -27*b + 4*b - 4*u, 0 = 39*b - 37*b - 5*u + 149 + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3\/5 + 17896*j**2 - 45620708*j\/5 + 45531232\/5 = 0 for j.\nAnswer: 1, 521, 21848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/76 or 1?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 259, 1, -2\/13?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3937 + -3936.9. Which is the nearest to l? (a) 1\/2 (b) -3 (c) -766\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 10:35 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 329*r**2.\nAnswer: -r**2*(r + 329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 + 24*d - 22*d + 5*d**4 + 3 + 2 as j*d**3 + p*d**2 + v + k*d**4 + f*d and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuuuuuuuuauuuuuau.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 177482561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 11 = -38. Find the third derivative of 4*j**4 + 255*j**t - 255*j**3 - 22*j**2 wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-10))\/(6\/40). Let s be 1*-9*26\/i. Let o = 29 - s. Which is the third biggest value? (a) o (b) -1\/2 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 26 = -3*w, 4*r + 11 = -2*w - 1. Suppose 5*n = -4*l + 16, -3*l = -l - 5*n - 8. Let f = l - w. Calculate the remainder when 2 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1382 + 963. Let u = c - -421.13. Round u to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3535655 is divided by 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 172*u**3 - 2 + 3976*u**3.\nAnswer: 3804*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50290 and 174945.\nAnswer: 16444830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004333585 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tstststttststttttt.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 10\/11 (c) 1\/8 (d) -1\/57 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1084246373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 779054 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 318022483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 685.5453um?\nAnswer: 0.6855453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18471635343.414 + 0.1.\nAnswer: 18471635343.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5144971?\nAnswer: 13, 395767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 39*j**3 - 4*j**2 - 38*j + 2. Let r(d) = -130*d**3 + 14*d**2 + 114*d - 6. Give 7*k(a) + 2*r(a).\nAnswer: 13*a**3 - 38*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*p - 2453 = -2069 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/11)*b*b*b*b**15)\/(b**(3\/7)\/(b*b*b**(-9)\/b)) assuming b is positive.\nAnswer: b**(723\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 940125.743 to the nearest one thousand.\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, e: 9, t: 1, x: 1}. What is prob of picking 1 x and 1 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*b - 5 = 0. Let p(g) = b - 3 + 1. Let l(k) = 81*k - 15. Let j(w) = -5*w + 1. Let i(n) = -33*j(n) - 2*l(n). Give -i(u) + 3*p(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z + 3 = -24*z - h, -6*h = 2*z - 52. Sort z, 1, -4, 0, 2 in decreasing order.\nAnswer: z, 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 2\/13 (b) -14 (c) -1\/5 (d) -2603\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 56 - (-13 + (-13 - 2) + 21 + -7)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1110*b**2 + 206*b - 7. Let v(s) = 317*s**2 + 59*s - 2. Give 5*i(l) - 17*v(l).\nAnswer: 161*l**2 + 27*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 80270 rounded to the nearest 1000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 15*c**2 + 10*c - 15. Let n = 75 + -73. What are the prime factors of s(n)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 61 = -4*f + 5, -5*f = -2*s + 37. Let n = 25 + f. Solve t - n = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n + 9*n + 7*n - 31*n + 10*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288510486.\nAnswer: 2, 3, 11, 4371371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a factor of 6057600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 341 + -42430?\nAnswer: -42089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*b*s**3*u**3 + 2*b*s**3 - 3*b*s**2*u**3 - 4*b*s - b*u**3 - 75*b*u**2 + s**3*u + 47*s**3 + 5*u**3 + u wrt s?\nAnswer: -336*b*u**3 + 12*b + 6*u + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22123012 + -100000?\nAnswer: 22023012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587549737?\nAnswer: 1587549737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 6*m**2 - 19*m - 14. Let g be t(-8). Let h be g\/6 + (-1)\/(-3). Let i = -7 - -10. Solve -3*l + 5*n + 14 = 0, -h*l + i*n + 16 = -2*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffyvyvyyyf. Give prob of picking 2 v.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 26 (b) 0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2. Let q(n) be the first derivative of -n**6\/90 + 4*n**3\/3 - 1. Let k(d) be the third derivative of q(d). Give u(k(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 + 6*v**3 + v**3)*(-1 + 1 - 3*v**2) - 9*v**5 - 6*v**5 - 9*v**5.\nAnswer: -57*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - c - 48660, -4*g + 38929 = 5*c - 6*c. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000848004 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + t - 110. Let n be l(0). Suppose 2*k + 145 + 167 = 0. Let d = n - k. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -980 + 309*m**3 - 263 + 743*m**3 wrt m.\nAnswer: 3156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1536 is divided by 22\/(-880)*45*-8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 12:02 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2. Let f = -1 - -4. Let t(x) = -f*x - 3*x + 3*x. Give t(r(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -20, -l - 12 = 2*a - 3*l. Sort a, 2, -3, 5.\nAnswer: -3, a, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 6*o + 5 = -10*o, 5*o = 4*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 1:57 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 163 - 1\/4*v**4 + 2*v**3 - 2*v**2 - 8*v. What is a(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y - w + 2*w, -5*y - 4 = -2*w. Suppose 18*p - 14*p - 172 = y. What is the remainder when p is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 + 0*z**3 + 0*z**3 + 6*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v. Let y be a(-4). Let n be 4\/(-5)*((-9737)\/(-14) - -7). Let x = n - -580. What is the greatest common factor of y and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 4:58 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 + 1632*m - 264524. Give u(593).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 - 95. Solve -y = g + g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ird when three letters picked without replacement from {r: 1, i: 1, d: 1, e: 2, a: 1, x: 2}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 296 and 70?\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.017 and -8.\nAnswer: -32.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1833 and 315627.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -87, -773, -2059, -3945, -6431, -9517?\n\"Answer: -300*l**2 + 214*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d - 50. Let t be h(8). Is 8 a factor of t\/(18\/(-108) + 17\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*w*w)**(-30)\/(w\/w**(-16))**9 assuming w is positive.\nAnswer: w**(-123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s + 54*s = 25*s + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44793 is divided by 8948?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.00013 - 29. What is b rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 69, 58, 53, 54, 61?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 7*p**4\/24 + 20*p**3 + 935*p**2. Determine s(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (-6 + 4))*-6. Which is smaller: 3 or m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -90 - 3*u**5 - 6*u**5 + 92 - u**5 + 4*u**5 - 2*u**5 + (-4*u**2 + u**2 + u**2)*(u**3 + u**3 - u**3).\nAnswer: -10*u**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-520)\/((-2 + -2)\/(-14000)). What is m rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73.58 * -0.243\nAnswer: 17.87994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h. Let y(b) = 17*b. Let n(a) = -4*a. Let k(j) = 12*n(j) + 4*y(j). Calculate l(k(u)).\nAnswer: 100*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(16)\/sqrt(4)))\/(sqrt(88)\/(2*sqrt(8)))*-3.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -4320 and 0.24 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1010030 and 112245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -0.4, 6, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (518 - 404)*(0\/(-2) - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 5:06 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.61352 and -11478.\nAnswer: -11475.38648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 26 + -10 - (2 - 5) - (-5 - 74)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7257553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35465*p**3 - 70126*p**3 + 35767*p**3.\nAnswer: 1106*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1288)\/1632 + (3 + 318\/(-24) - -11)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 8:32 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 320021040 (base 5) in base 15?\nAnswer: 1b3dea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/128 and 13\/292.\nAnswer: 9344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-14)\/(-8))*(60 + -24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/90 and 13\/3383580.\nAnswer: 10150740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -489737 or -489729?\nAnswer: -489737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 124994 and -2.\nAnswer: 124992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 1513*s**6\/60 + 89*s**4 + 5*s**2 - 55*s. Find the second derivative of u(q) wrt q.\nAnswer: 18156*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -279.608 - 0.392. Let s = -279.9 - y. What is the nearest to 1 in s, -44\/5, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70492637?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 46, 126, 238, 382, 558?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 20529.774ms?\nAnswer: 0.000237613125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73801 and 728.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 269.963361 milliseconds?\nAnswer: 0.0000031245759375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*q - 18*q - 11*q)*(2 - 4 + 0)*(-78 + 29 + 29)*((0 - 1 - 1)*(0 - 2 + 1) + 2 + 0 - 1)*(-2*q + 2*q + 2*q) to the form y*q + k + u*q**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.61*-5.\nAnswer: 43.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, i: 1, s: 4, a: 2}. Give prob of sequence sias.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7218 is divided by 157.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-2*5 + 4*2*sqrt(102))\/(sqrt(864) + 1*sqrt(864)))**2.\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 11*q + 2*q**2 - 13*q + 2*q. Let u(x) = -3*x + 4. Suppose 4*p - 3 + 19 = 0. Let k(v) = -7*v + 9. Let f(g) = p*k(g) + 9*u(g). Determine f(a(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 4 + sqrt(48) - (sqrt(243) + -2).\nAnswer: -4*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -199.8 + 200. Which is the closest to j? (a) -5\/4 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5390 - -2568. What is the units digit of y\/85*(-5)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68494366.149 take away 0.2?\nAnswer: -68494366.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 52\/1403 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -4\/5 (c) -2\/13 (d) -393 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106129715?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 6*z + 0*z + 2 - 2*z - 2 + (0 + 2*z + 0)*(0 - 2 + 1) to w + k*z and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3003a9 (base 11) in base 14?\nAnswer: -c8375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 3733 - 3642 + 7056 to w*i + r and give r.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 107*x - 112. What is f(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 9. Let d(r) = -2 + 1 - p*r + 1. Suppose 3*y - 2 = 1. What is d(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 35. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 299937 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**3 - 91*a**2 - 740*a + 10. Give t(37).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6590.00064 and -2879.\nAnswer: -9469.00064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 19*d**2 + 7*d. Let p = 70 + -52. Let w be q(p). Let v = 1511 - w. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 282116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 407?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.885 + 20.985. Put -2\/21, -135, 3, -1, n in descending order.\nAnswer: 3, n, -2\/21, -1, -135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -375 by -15.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**6*w*w**(2\/11)*w)**16 assuming w is positive.\nAnswer: w**(-496\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477201\/99 + 16\/(-72).\nAnswer: 43, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1739.472 milligrams to grams.\nAnswer: 1.739472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 7:14 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y)**6 assuming y is positive.\nAnswer: y**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 20 = -8*s + 3*s, -4 = -s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 9:39 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 60 = 4*r, 0*d + 5 = -d + 5*r. Suppose 0 = 4*v - 3*v - d. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 4*r**2 + 5*r + 29. Determine p(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*o = 81, -5*k + 2*o + 2*o = -89. What is the remainder when k is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 2*t**2 + 0*t**2)*(-3*t - 2*t + 2*t) + (-t**2 + t**2 - t**2)*(2*t + t - t) + (-2 + 4 + 0)*(3*t**3 - t**3 + 0*t**3).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -722 - -727. What is the fourth smallest value in a, -22, -2\/3, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 5 + 15*q**3 - 20*q**3 + 0 - 6 - 3*q**2 - 4 in the form o + u*q**2 + d*q**3 + g*q and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4 - (5 + -3 - -8)) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 18 = -63598*i + 63594*i, 2*i = 6*h - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4882, -16829, -35836, -61909, -95054, -135277, -182584?\nAnswer: -236981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13140, -13348, -13556, -13764, -13972, -14180?\n\"Answer: -208*l - 12932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/7 or -1716?\nAnswer: -1716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -2*i**3\/3 - 301*i. Let q be 4\/7*21\/6. Let f(t) = 4*t**q + 2*t**2 + 3*t**2. Give f(s(x)).\nAnswer: 144*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*y + 7*y - 477, 0 = -4*n - 5*y + 951. Let p = n + -208. Solve -p = 4*u - 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 0 (c) -0.5 (d) -0.518 (e) -0.4 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5 = 3*r + 2*r, -3*d = 2*r - 12. Let x be (0 - (r + -3)) + 3. Solve -x*o + 6*o = 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*y)**(-17\/4) assuming y is positive.\nAnswer: y**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10807484, -10807471, -10807458?\n\"Answer: 13*p - 10807497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -3)\/(-5)*330\/(-720).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7707, 35968, 83069, 149010, 233791, 337412?\n\"Answer: 9420*a**2 + a - 1714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*o**3*t**4 - 24*o**3*t - 3*o**3 - 3*o*t**5 - 3*o wrt t?\nAnswer: 672*o**3*t**2 - 60*o*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-3 - 1 - -6) + 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4672659 millilitres in litres?\nAnswer: 0.0004672659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.7568 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4886? (a) -0.4 (b) -2 (c) -3 (d) 1\/9 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 304*q. Let f(m) = -32*m. What is -48*f(g) - 5*r(g)?\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 20. Suppose -2*v - w = j, -6*j + j - v + 5 = 0. Suppose 10 = 4*m - j. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256308 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1472342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157 + 4709\/30. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 5*m**3\/3 - 3*m**2 - 317. Let r(z) be the third derivative of z**5\/60 - z**4\/24 - 4*z**2. Calculate -6*r(j) + u(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 63 = l, 3*b - 3*l - 63 = -5*l. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12214 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114.43*4.\nAnswer: 457.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvvsmamsvfxaaf. Give prob of picking 1 x and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1171678616280 - 1171677645096.300009. Let f = -971185 + z. Let d = -1.3 - f. What is d rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13941.\nAnswer: 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.256482517 to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 212532111 to the power of 1\/2, to the nearest integer?\nAnswer: 14578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 579244.\nAnswer: 4054708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13321078753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 515 = -i - 5*v, i - 2*v = 253. Suppose 0 = -s - 4*s + i. Suppose 4*x = x + s. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/((-36)\/8)*-5. What is the second derivative of 41*m**3 + 1 + 66*m**3 + 7*m + r*m**3 + 2*m wrt m?\nAnswer: 702*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -119462 and 9.\nAnswer: -119453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9*j - 15 = 0. Suppose -2*g + 19 = -i, -j*i + g + g = 37. Calculate the remainder when i\/((-3)\/3) + 1 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:48 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-594)\/24)\/(-11)*(-375)\/(-18000).\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/228369 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, t: 5, l: 5, q: 1, u: 3}. Give prob of picking 2 u and 1 w.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 36*o**2 - 30 + 81 - 26.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**4\/12 - 5*v**3\/3 + 27*v**2\/2 - 19*v. Let f be w(6). Which is the smallest value? (a) -5 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = a - 3*a + 3*r, a + 9 = -3*r. Let j(l) = -2*l - 3. Let p(i) = i + 2. Let b(c) = 4*j(c) + 9*p(c). What is b(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -239*m**2 + 8*m - 20. Let v(w) = -73853*w**2 + 2470*w - 6175. Let h(p) = -4*v(p) + 1235*x(p). Let o(g) = -15*g**2. Give h(o(f)).\nAnswer: 55575*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 6:22 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4630 divided by -5.\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 15. Let b be r(10). Let u = 7 - b. Suppose 2*j = u*a - 3*j - 3, 3*a = -4*j + 62. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285970, 285971, 285972, 285973, 285974?\nAnswer: 285975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5 - 29 = -2*j, -p + 6 = -4*j. Solve 0 = 4*i - 8, -5*o - 12*i + 7*i - 10 = j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 950533180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/8 (b) -3 (c) -0.3 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 21*o + 2. Let m(d) = d - 1. Let v(x) = -k(x) - 2*m(x). Suppose b + 5 - 4 = 0. What is the units digit of v(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -662 + 742. What is the lowest common multiple of 80 and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -24.43. Let x = -2.57 + a. Let q = 2.1 - 2. What is the smallest value in x, q, 14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) - (sqrt(396) + sqrt(396)*-2 + sqrt(396)))*1 - (-2*sqrt(396)*2 + sqrt(396)))*-4)\/(((sqrt(900) - -1*sqrt(900)*-3) + sqrt(900))*-6).\nAnswer: -8*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146176239 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -672, -640, -590, -516, -412, -272, -90, 140?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a tonne in kilograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*q - 1056 = 0, -3*l + 7*l = -q + 855. Let p = -69 + l. Suppose 0 = 2*v + y - 288, 0*v + p = v - 5*y. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a millimeter in micrometers?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 34*f**2. Suppose -2*d = 4*g - 36, 2*g + 29 - 7 = 3*d. Let s(x) = 7*x**2 + 4*x**2 - 16*x**2 + d*x**2. What is t(s(h))?\nAnswer: 850*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.5, -2, 6, -0.3 in descending order.\nAnswer: 6, 0.5, -0.3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o - 4. Calculate k(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3004112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45032 and 1261.\nAnswer: 4368104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = j + 3, -j - 2*m - 23 + 22 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135614 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2*g**3)\/(g**(-3\/4)\/g**(-1\/10))*g**6\/g*(g*g\/g**0)\/g*(g**(-2\/5)*g)**(1\/3) assuming g is positive.\nAnswer: g**(237\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/(-12))\/((-2)\/(-3)). Let h(w) be the third derivative of w**5\/60 - w**4\/24 - 5*w**3\/6 - 7*w**2. Give h(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549, 2224, 5015, 8922?\nAnswer: 13945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511*q**3 - 1024*q**3 + 564*q**3.\nAnswer: 51*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 35*p**2 - 63*p + 7. Let b be d(-33). Which is greater: -91 or b?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5224 a factor of 495282392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -245*m + 34. Suppose -2*w - 15 = -h, 4*w + w + 2*h + 15 = 0. Is n(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - (8 - 4 - 17 - (338 + -350)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2\/7 + 50*b\/7 + 300\/7 = 0.\nAnswer: -5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058609584.\nAnswer: 2, 17, 719, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -25678 >= -25678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -19*x - 126. Let r be a(-14). What is the highest common divisor of 40 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201070.\nAnswer: 2, 5, 20107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 114044164 greater than or equal to 114044165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2811733?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4192815 - 15?\nAnswer: 4192800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z + z + 8*z + 5*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/14 - (-2 - 1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 4*z. Suppose -k - y + 3 = 12, 2*k + y + 13 = 0. Let c be g(k). Let o be (-22)\/(-4) - 4\/8. Solve 0 = -o*u - c*u + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 7*q**2 - 3*q - 5. Give w(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -7\/2*c**3 - 40*c + 0*c**2 + 0. Let f(i) = -3*i**2. What is f(z(p))?\nAnswer: -1323*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*u + 3*r - 2 = 0, 0 = u - 4*r + 41 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - y**2 + 2*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y + 4. Let o = 21 + -20. Let g be (3 - 7) + (5 - o). Let p be f(g). Solve u + 8 = p*s, -2*s - 4 - 2 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*s**2 + 1873\/4*s + 468 = 0. Calculate s.\nAnswer: -1872, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 9:34 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10001111111001000 (base 2) to base 16\nAnswer: 11fc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/117 (b) -3 (c) -120.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 6 + (-5 - -2). Suppose 4*u - 3 - 1 = f. Suppose -3*l + u = -h, -h + 0*l + 4 = 2*l. Solve 1 = n - h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/(1\/(-5))*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5565 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133 - -133. Let x = 2.4 - -2.6. What is the third smallest value in x, p, -16?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 2*j**2 + 0*j**2)*(6*j**2 - 4*j**3 - 6*j**2) - 5 + 16 - 136*j**5 + 74*j**5 + 61*j**5 + 15*j.\nAnswer: -5*j**5 + 15*j + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3) + -12 + -12 + 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (49 - 28)) + 53.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49355 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-4*(sqrt(2448) - sqrt(2448)*1) - (4 + sqrt(2448) + sqrt(2448) + sqrt(2448)*1)))**2 - (5*(-3 + -2*sqrt(2448)) + -1)**2.\nAnswer: -223008 - 3552*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**3 + 9*f**2 + 3*f - 28. Calculate j(3).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 13*a**2 - 9*a + 327. Let z be w(14). Solve 13 = -z*c + 4*d, -d - 1 = 31*c - 28*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 2484186?\nAnswer: 7452558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/10*-2*25. Suppose -21*b + 17*b + 28448 = 0. Suppose 2*l + b = c*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 21*v**3 + 14*v + 0*v**3 + 4*v. Let n(a) = -a**2 - 7*a + 5. Let k be n(0). Let m(g) = 6*g**3 + 5*g. What is k*w(j) - 18*m(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 + 316. Calculate the remainder when f is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -92.33 and 21766.52.\nAnswer: 21674.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.69 - -40. Let d = t + 0.59. What is the closest to d in 4\/3, -5, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 0, -5, 4 in increasing order.\nAnswer: -32, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 5*f**4\/4 + f**3\/6 + 662*f**2. Let a(g) = 2*g**2. Give a(u(y)).\nAnswer: 1800*y**2 + 120*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 920 and 120.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubbbuoc. What is prob of picking 1 c and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 14010 to the nearest 100.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 7) to base 3.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)\/(r\/r**(-3))*(r*r\/(r**(3\/2)\/r)*r*r)\/r*r\/r**(-2\/27))**45 assuming r is positive.\nAnswer: r**(-205\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8537, 1 in decreasing order.\nAnswer: 8537, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19665 divided by 49.\nAnswer: -19665\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - -36)*2\/(-6). Let i be f\/(-1) + (-3)\/4*4. Solve -2*u = i - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1072 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 - -107. Let m = t + 26. Does 33 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 - 63046a?\nAnswer: -630496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(63))\/sqrt(9))**2*1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*a = 588 - 103 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 55*n**2 - 47*n - 373. Let m be z(54). Solve -2*v - m = -7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 2, 3, 1 in decreasing order.\nAnswer: 3, 2, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3*1*sqrt(72) - -6*(sqrt(72) + -2)))**2.\nAnswer: -612*sqrt(2) + 937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -1. Let n = -11 - a. Let h(f) = f + 8. Let p be h(n). What is the greatest common divisor of p and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + 0 + (109 - 124)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 273, 281, 281, 267, 233, 173, 81, -49?\n\"Answer: -l**3 + 2*l**2 + 9*l + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89806897 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 45105?\nAnswer: 45051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 205?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 138920000 rounded to the nearest 1000000?\nAnswer: 139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmmmmxmmxmmdmmmdm. Give prob of picking 1 m, 1 x, and 1 d.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7994 - 3744. What are the prime factors of z?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-4 - -13) - 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 4:34 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -193810*b**5*w + 5*b**3*q*w**2 - 7*b**2 - 3*b*q*w**2 - 4*b*q + 148*q - 25*w**2 wrt b?\nAnswer: -11628600*b**2*w + 30*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, -2, 376, -11 in decreasing order.\nAnswer: 376, 10, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.707 times 29?\nAnswer: -252.503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 808 + 214. Let d = -162 + n. Calculate the greatest common factor of d and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21110020021011 (base 3) in base 16?\nAnswer: 3c7012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562067?\nAnswer: 11, 37, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-26) - (-29042)\/169. Let o = z + -169. Solve c = -o*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1824047 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19418 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.08, 2, -0.1, 27\/2, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1847 divided by -14\nAnswer: -1847\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1) - (-312)\/91\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 133 = -5*q - 2*b, -3*q + 67 = -2*b. Is 19 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 3 + 22 - 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -119, -207, -279, -305, -255?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/40 + 137*j**5\/60 - j**4\/8 + 35*j**3\/6 - 1064*j**2. What is the second derivative of a(p) wrt p?\nAnswer: 18*p + 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1791, -1793, -1795?\nAnswer: -1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -190*(-156)\/3458*(-28)\/8\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 13*x**2 + 6*x - 75. Let o be a(13). Let i be -2*2\/8*-6. What is the highest common factor of i and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 - 2*t + 27. Let u(d) be the first derivative of -2*d**3\/3 - 611. Determine k(u(z)).\nAnswer: -16*z**4 + 4*z**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 796976 (base 11) in base 2?\nAnswer: 100110101101000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwjjwwwwwwjwwjgwjw. Give prob of sequence jjw.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 7*p**2 + 16*p - 14. Does 55 divide s(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 >= -5314164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 3:04 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 57 + 0*(0 - -1)*1. What is the third derivative of 8 - 57*b - 3*b**6 + c*b + 4*b**2 + 5*b**5 wrt b?\nAnswer: -360*b**3 + 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 250*d**2 + 2380*d - 4799. Calculate o(-240).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 297760.9 + -18485165.9. Let y = f - -18187406.00000012. Let c = 1 - y. Round c to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/5*f**3 + 6\/5 - 8\/5*f**2 - 4\/5*f + 2\/5*f**4 = 0. Calculate f.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 30. Let u be (6\/p)\/((-12)\/16). Which is the closest to 0.2? (a) 4\/5 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60147, 118942, 176383, 232470, 287203, 340582?\nAnswer: 392607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959373541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*h + 24 = 231, m - 63 = -3*h. What is the least common multiple of 4\/m*3 - 430\/(-9) and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s**2 - 720*s + 631. Let c(f) = -20*f**2 - 1485*f + 1260. Let p(j) = 2*c(j) - 5*z(j). Factor p(g).\nAnswer: 5*(g - 1)*(g + 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1343605652 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + -1 + sqrt(459)\/sqrt(3))*2.\nAnswer: -2 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from {r: 2, a: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23cd9 - -1a8?\nAnswer: -23b31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3190204 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -656 - -3?\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99609398\/65 at least 1532451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*v + 645, 0*v + 3*v - 9 = 0. Let f = -147 + u. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36*((-88)\/(-16) + (-10)\/5). What is the greatest common divisor of 322 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-3) + 1702997 - 3. What is z rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 14*t**2 + 23*t + 6. Let n(k) = 25*k**2 - 20*k**2 + 7 + 8*k - 5. Give -6*l(m) + 17*n(m).\nAnswer: m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 12*f + 11. Give r(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12325356 (base 7) in base 10?\nAnswer: 1115967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (60\/(-45))\/((-10)\/7950*2). Solve -22*s + x = 442 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -253, -494, -813?\nAnswer: -1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2.15531, 0.1, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -37 (c) 15.2 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(-60))\/((-1)\/2). Let m = 0.43 + -0.13. Put m, 5, k in increasing order.\nAnswer: k, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 246, 493, 738, 981?\n\"Answer: -s**2 + 250*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjrxrrjjrs. Give prob of picking 1 r and 1 x.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.3, -55, 0, -13, 21 in ascending order.\nAnswer: -55, -13, -1\/3, -0.3, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) - (-1)\/((-105)\/(-12)). Let a = -2 - -3. What is the second smallest value in 4, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 900 and 575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 2, a: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20881 and 1232.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -125, -134, -143, -152?\n\"Answer: -9*p - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2574.4896ns to hours.\nAnswer: 0.000000000715136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111000010001 (base 3) to base 15.\nAnswer: 108487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + (-72)\/(-20))*(-125)\/150. Put 3, -8, 0.5, 0, z in descending order.\nAnswer: 3, 0.5, z, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182280191 divided by -1?\nAnswer: -182280191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*f**2*q**3*s - 10*f**2*q + f*s**2 - 5*q**3 + 26*q**2*s**2 - 2*s wrt f?\nAnswer: 30*f*q**3*s - 20*f*q + s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4238*b - 21*d = 4233*b + 5, 4*d = -0*b - 4*b + 5*d + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*y + 54 + 20 = 0, -y + 6 = 0. What is the remainder when 6166 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + x - 6, 4*j + x = 2*j + 4. Let c be (11 + -1)*2\/4. Solve 2*m + j = -5*k + 12, k + c = 2*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -1 (b) -28 (c) -554 (d) -0.1 (e) 2 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) + (-36)\/60. Let v(o) = -11*o - 2. Let d(n) = -n. Let c(k) = 5*d(k) - v(k). Give c(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 c when four letters picked without replacement from {w: 3, o: 5, c: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(24)*-2*4)\/(sqrt(3) - -2*(sqrt(48) + sqrt(3))))\/(-2*sqrt(4)*5 - (sqrt(4) - sqrt(12)\/(sqrt(3)*2))).\nAnswer: -80*sqrt(2)\/231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*w + 8, -5*a + 277 = -2*w. Suppose 4*x + 36 = 5*n - a, 3*x + 69 = 4*n. What is the units digit of x\/(-3)*(-2)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19332930 divided by -10.\nAnswer: 1933293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 6*n**2 - 35 + 2\/3*n**3 - 6*n. What are the prime factors of r(-11)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*w + d*x + 4*d*y**2 - 2*w*x**2*y**2 - 87*w*x**2*y - x**2 - x*y wrt w?\nAnswer: 2*d - 2*x**2*y**2 - 87*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367*z + 512*z - 152250 = 0. Does z = 1052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*z - 68, -5*z - 2*p + 98 = -0*z. Suppose 5*x - 5*n = 20, 3*x - 5*n = -0*n + z. Do x and 17\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*f + 4*f. Suppose 2*o + 2918 = 5*p, 50*p = 49*p + o + 583. Suppose 0 = f*h - h - p. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -221*w**7\/210 + w**6\/30 - w**5\/4 - w**4\/4 - 1251*w**2. What is the third derivative of v(a) wrt a?\nAnswer: -5304*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 6) to base 15.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-1))\/((40\/360)\/((-1)\/2))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/35 and -149\/88620.\nAnswer: 88620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 594 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 33572 = 74*w. List the prime factors of w.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**3\/3 - 7*b**2\/2 + 6*b + 24. Let d be y(8). Suppose -o = -5*o + 448. What is the greatest common factor of d and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 13*h - 51. What are the prime factors of c(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 41*t**2 + 5*t + 11. Let p(a) = 174*a**2 + 21*a + 45. Calculate -2*p(y) + 9*r(y).\nAnswer: 21*y**2 + 3*y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/162*(-256)\/448. Which is smaller: -4\/7 or x?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 14. Suppose 2*h = 4*h - 46. Suppose -3*a - h = -4*g, -2*g + a = -18 + c. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*f**2*j - 25196*f**2 + 248*f*j + 4312*j wrt f?\nAnswer: 234*j - 50392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 5:55 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16069238 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 5, 2, -13 in decreasing order.\nAnswer: 5, 2, -1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -275001*l**2 + 5*l + 6. Let j be f(6). Round j to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*d**2 - 142*d**2 + 4768 - 4768 + 44*d**2.\nAnswer: -186*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2960 - 1f?\nAnswer: 2941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*a - 46*a = -i - 2, 5*i - 5 = -2*a. Let s(q) be the first derivative of -9 + 0*q + 1\/20*q**4 + 5\/2*q**2 - 2\/3*q**i. Solve s(v) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17 + 0.27. Let j(u) = u**3 + 6*u**2 + 13*u + 33. Let i be j(-5). Put i, q, -4 in decreasing order.\nAnswer: q, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 11 + 4 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 2*b + 3*u - 21, 0 = b + 5*u - 23 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/25*(-1)\/3. Which is bigger: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 10:29 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*v - 31*v + 462 + 575 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 - 21*u + 15*u + 6*u to h*u + j + t*u**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10419 and 13170673?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2307 is divided by 528?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120786 = -3*a + 5*v, -5*v - 15 = -0*v. Suppose -5*n = 3*j - a, 13577 + 18607 = 4*n - 3*j. Let k = n - 36049. Round k to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -189*b*p*q**3 + 24*b*p*q**2 + 41*b*p wrt q.\nAnswer: -1134*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((3*sqrt(102) - sqrt(102))*-5)\/sqrt(6))**2 + ((0 + sqrt(272))*-6)**2)*2*-5.\nAnswer: -114920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6643 and 286598?\nAnswer: 2006186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -707 = -3*b + 2*b. Suppose 1820 = 5*t + c, 2*t + c - b = 21. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 109452 and 7958724?\nAnswer: 55711068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 255\/21 + (-6)\/42. Let v = 14 - i. What is the units digit of (6\/(-8))\/(v\/(-136))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - u + 1. Let a(j) = 2*j + 3. Let k(m) = m + 4. Let v(f) = 5*a(f) - 4*k(f). Let i(b) = 2*p(b) - v(b). Is i(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44064.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 131 and (32\/36)\/(16\/72)?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*l - 81*l = 90 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327*z - 38 = -346*z. Find r such that 0 + 1\/5*r**3 + 1\/5*r**z - 2\/5*r = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 10 + 10. Suppose -22 = -j + 30. Let g = -778\/15 + j. Sort 2\/13, u, g in descending order.\nAnswer: u, 2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.047255 from -0.4.\nAnswer: -0.447255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5\/6 - 12*a**4 - 71*a**3\/6 = 0?\nAnswer: -71, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*w - 5*b + 407, 2*w + 2*w + b + 30 = 115 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 0.59837597\nAnswer: -0.0059837597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*w + 5*z + 128, 2*z = 13 + 8 - 17 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5198, 5348, 5602, 5960, 6422, 6988, 7658?\n\"Answer: 52*k**2 - 6*k + 5152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*k - 238. Let q be k\/16 + (-1)\/(-8). Let j be (-10)\/q*-2*2. Solve j*l + 4*i = -2 + 13, 2*l - 7 = i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*k**2 - k + 143 - 293 + 141 + 2*k**2 - 3*k**2 + 0*k**2 + (0 + 0 + 2*k)*(-1 - 2*k + 1) - 2*k**2 + k**2 - k**2 as v + x*k + z*k**2 and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*2270.\nAnswer: -77180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*x = -58, x - 13 - 25 = -3*k. Let i be k\/4 + (-5)\/10. Calculate the greatest common factor of i and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 56*n**2 + 15 + 16.\nAnswer: 56*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 15. Let h be ((-10)\/q + 2)*0. Solve -4*b + 2*b = h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 5*g**2 + 6*g - 7. Let u(y) = y**2 + 2*y - 1. Let s be u(-3). Suppose s*z = -3*z + 25. Is j(z) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 37. Let z be x(18). Let h be (24 - 20)\/(0 + (z - 2)). What is the third smallest value in 4\/7, -5, h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l + 13. What is j(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 121292809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04309 rounded to three decimal places?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(130) + sqrt(130))*-4 - -1*sqrt(130)*-3)\/((-3*sqrt(250)*2 + sqrt(250))*2).\nAnswer: -sqrt(13)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 8 + 32 = 0. Suppose 2*a = 6*g - g + 260, 5*a + f*g = 708. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*p - 158739. Suppose 25*k = 22*k + p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + 3*p + 925. Let v be g(0). Suppose -4*s + 4*a = -167 - v, 2*a = -2*s + 534. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0)*-2 + -1. Let w = -6 - -29. Suppose -g = x + y, 4*x + w = g - x. Solve 5*s + z - 12 = 0, -27 = -4*s + 8*z - g*z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g + 86. Let z be j(-9). Let p(v) = 29*v**2 + 14*v - 8. Is p(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 995 = -152*v + 365 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0477 rounded to three dps?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-8)\/64 + 660\/224.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -20, -15070, 26 in ascending order.\nAnswer: -15070, -20, -5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjcqqitib. Give prob of picking 1 j and 1 i.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 870 is divided by 74?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160.15 + -144. Let f = -16 + o. Let z = f - 0.44. What is z rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**3*z + 543688*t**3 + 4*t**2 + 10*t*z + 2*t + 185*z - 61 wrt t.\nAnswer: -12*t*z + 3262128*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12926, 0.1, -0.1, -27\/14 in increasing order.\nAnswer: -27\/14, -0.1, 0.1, 12926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 70, 4, 0.39 in descending order.\nAnswer: 70, 4, 5\/3, 0.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869*v = 947*v - 1404 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60, 160, 316, 528, 796, 1120?\n\"Answer: 28*o**2 + 16*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 45167, 90335, 135503, 180671, 225839, 271007?\n\"Answer: 45168*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31440 + 14214. What is the ten thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (232\/261 - (-71570)\/(-16830))*11\/(-6).\nAnswer: 37\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4585 (base 11) to base 8\nAnswer: 13606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 1. Let q(g) = -7*g**2 + 569*g - 772. Let d(o) = 6*n(o) - q(o). What is the first derivative of d(p) wrt p?\nAnswer: 2*p - 569","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 76*m**2 - 27357*m - 1120. Give l(360).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13516 and 1860?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6921972.\nAnswer: 2, 3, 47, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 4*d + 2. Let h be s(-2). Let r = 2 - h. Let w be (-4 - -4) + r\/(-1). Which is greater: w or -4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - 3. Let i(n) = n**2 - n + 3. Let j be i(0). Let o be t(j). Suppose -5*q = -2*u - o - 6, 3 = q. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 13. Let x(r) = -r**2 + r - o + 0*r**2 - 2*r - 4*r. Determine x(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 12) to base 14\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1031*g - 409313. What is w(397)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1124866, 1124881, 1124896, 1124911?\n\"Answer: 15*i + 1124851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5666 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -131120 (base 4) in base 7?\nAnswer: -5324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 94062 and 227881.7955.\nAnswer: 321943.7955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 - 106*v**2 - 31*v - 161. Is s(62) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/6)\/(6 + 1645\/(-273)). Let q be 14\/s*828\/(-43). Let i = 68\/13 - q. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4. Let k be 0 + -1 + d - -17. What is the common denominator of 11\/14 and ((-2)\/(k\/(-166)))\/(-4)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*f, -l - 3*f - 5 = 6. Let s = l + 5. Let m(d) = -3*d + 6*d + d + s*d. Determine m(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/4 (b) -0.2 (c) 3 (d) 2\/7 (e) -160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 703 - 484. Let p = n - 219. Which is the nearest to p? (a) -0.3 (b) 26 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 3*4\/(-9)*6. Let a(f) = -11*f - 4. Let z(j) = -j. Let b be -1 + 1 - (-3)\/3. Let m(i) = b*a(i) + n*z(i). Determine m(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 29.768 and 3.\nAnswer: 32.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/15*19\/(152\/(-24))*115.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**8\/1176 - 13*o**7\/735 - o**6\/84 + 97*o**5\/210 + 27*o**4\/14 + 24*o**3\/7 + 4*o**2 - 19. Find g such that u(g) = 0.\nAnswer: -12, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -110993953.\nAnswer: 5\/110993953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 1:27 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135134 is divided by 16430?\nAnswer: 3694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 16060557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1166044 - -3?\nAnswer: -1166041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 5*m = -27, -m - 10 + 4 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/105 - 314\/(-10). Put 3, g, -2 in decreasing order.\nAnswer: g, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*t, -3*t = 2*b - 630 + 558. Let u(y) = y**3 - y**2 + 31. Calculate the remainder when u(0) is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -26*a - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a hour in seconds?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -251, 9\/109?\nAnswer: 9\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3759?\nAnswer: 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2640637 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c = -8*c - 2560. What is the greatest common factor of 32 and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107.9 - -104.9. What is the nearest to -0.06 in 3\/4, -6\/5, f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + s**2 + s. Let x be q(-1). Let w = x + 1. Suppose 0 = 7*l - 3*l. Solve b + 5*z + 18 = w, 5*b + 5*z = -l*b - 30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 5*b + s - 340, -2*b - 5*s = -136. Calculate the greatest common divisor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -1\/3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*t + 471*t - 937*t - 127*t**2.\nAnswer: -127*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -10 - (-35 + 10 + 11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 26 = -2*j - 7*k, 0 = -k - 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 17 = l, -69*l - 17711 + 17654 = -3*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 18. Solve 2*h - 1 + 3 = -w*i, -3*i + 22 = -2*h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(550) - sqrt(22))\/((sqrt(48)\/sqrt(2) + sqrt(24))\/sqrt(12)) + -2.\nAnswer: -11*sqrt(11)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 744.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**3 + 4*v**3 - 12*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 437316486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45.4 - -50.183. Let f = -0.083 + k. Let z = f - 4.8. Which is the third biggest value? (a) -4\/3 (b) -4\/9 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 + 4 + 4 + -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*q - 21. Let g = q - -39. Let o = -12 + g. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2093 divided by 7?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(7 + 3 + -8). Solve -r*o + 19 = 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than 9.41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 22 = -3*v - 5, 4*v - 3*m = -71. Let i(g) = -g**2 - 16*g - 16. Calculate the remainder when 32 is divided by i(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1313\/60 + -49\/30. Let a = -20 + 4. Find the common denominator of (-21)\/(-7) - (-238)\/a and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -75827231?\nAnswer: -7582723.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.5711754 rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 1. Let p(z) = -z**3 + 4*z**2 + 12*z - 4. Let a be p(6). Determine w(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (9 + 46 + 6 - (-13 - (-4 - -3)))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**5\/60 - t**4\/3 + 4*t**3 + t**2. Let u be a(-10). Let p be (-22)\/(-10) + (-2)\/10. Put p, u, -9 in decreasing order.\nAnswer: u, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75510 by -5.\nAnswer: -15102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t + 35. What is p(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1. Let o(q) = -q + 2. Let u(k) = -4*l(k) - o(k). Let v be u(0). Let h be (-20)\/(-4 + -1)*(0 + 1). Solve s - h*p - 9 = -4, -6 = -4*s + v*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*y - 336*y = -3*l - 646399, -2*l = 5*y - 1616007. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t**2 + 3*t + 1. Determine o(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6883, 21, 2\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2.4471 (b) -1\/8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, t: 4, p: 1, i: 4, k: 2, u: 1}. Give prob of sequence xtui.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28408 is divided by 9271?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6.47 * -1.9\nAnswer: 12.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1076*c + 562086 = -1022*c. List the prime factors of c.\nAnswer: 7, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301038682, 602077364, 903116046, 1204154728?\nAnswer: 1505193410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -751, -731, -675, -565, -383, -111, 269?\n\"Answer: 3*g**3 - g - 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 139.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 261\/380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4 - 488\/(-16). Suppose -3*n = -5*s + 32, 5*s - 4*n = s + y. Let o = 138 + -127. What is the remainder when o is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59954.13 millilitres to litres.\nAnswer: 59.95413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = w + l, 219 = 5*w + 5*l - 8*l. Solve 0 = -s + 9*s - w for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71*l**3 + 27230*l + 5909578?\nAnswer: 213*l**2 + 27230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/63)\/((-21)\/(-14)). Put -5, v, -57 in decreasing order.\nAnswer: v, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + n**3 + (2 + 2 - 1)*(-3*n**3 + n - n) + 4*n**2 + 5*n**3 - 4*n**3 - 3*n**2.\nAnswer: -7*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000713722 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -104*0.6\nAnswer: -62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-166)\/(-21) + 768\/(-96))\/((-8)\/(-1980)*15).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4583 - -7086. Is (q\/3*2)\/(16\/24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -14.45657?\nAnswer: 57.82628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8653 = 4*h - 5*c - 4643, 3*c = h - 3317. Does 99 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(11) + sqrt(11)) + (-3*sqrt(110))\/sqrt(10).\nAnswer: 5 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2970 = 1437*h - 843*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 1:49 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 5. Let k(v) = -3. Let f(r) = -5*k(r) - 3*p(r). Let w(i) be the third derivative of -150*i**2 + 0*i**3 + 0 + 1\/12*i**4 + 0*i. What is w(f(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 8 - (-1 - 5)) + 2 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -438\/85 + 3053\/510. Let v(s) be the second derivative of 0 + 1\/4*s**5 + 0*s**2 + 25*s + 5\/6*s**4 + y*s**3. Factor v(h).\nAnswer: 5*h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -1 + w + 1\/10*w**5 + 0*w**3 + 0*w**2 + 0*w**4. Let r(c) be the first derivative of a(c). Suppose r(s) = 0. What is s?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1683 - 1411. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 26 = 5*j, 3*j = -142*u + 140*u + 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u - 2*u)*(31 - 10 + 1) + u + 2*u - u - u + 3*u - 4*u + 6*u - 3*u - 2*u + (0 - 2 + 4)*(-1 + 1 + u).\nAnswer: -19*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 44, -10*o - 35*h = -23*o + 8*o + 15*h - 525 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*p**2 + 7 - 7)*(-59*p - 391 + 391) - p**3 + 0*p**3 - 2*p**2 + 0*p**3 in the form c*p**2 + b*p + g + i*p**3 and give i.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 2, 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-18 + 4 - -24) + -72 + 14 + (-4 - 0)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + 4 + (-18 - -9) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -188367326*k + 188367328*k - 150*k**3 + 1 + 400*k**3 as j*k + w*k**2 + c + l*k**3 and give l.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 430.41579 rounded to 1 dp?\nAnswer: 430.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 0 - -1*2. Suppose -z*y - 12 = 0, l + y - 6 + 0 = 0. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1\/10 (b) 4 (c) 87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 15*w - 10. Let y be i(-14). Let x be ((-38)\/(-95) - 6\/(-10)) + y. What is the tens digit of x*(2\/(-8) - (-11326)\/280)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7166311 (base 10) to base 14.\nAnswer: -d478b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/4363755 and -29\/2145.\nAnswer: 56728815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3095*s**3*u + 49*s**3 - 32*s**2 - 9*s*u**3 - 34*s + 36*u - 15 wrt u?\nAnswer: 3095*s**3 - 27*s*u**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*i**2 - 845*i - 23068.\nAnswer: -(i + 79)*(7*i + 292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32284 and 402808.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(13) + sqrt(143)\/(4*sqrt(11)).\nAnswer: -5 + 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u - 1. Let x(j) = -14*j - 9. Determine 6*w(v) + 2*x(v).\nAnswer: 8*v - 24","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 561 = 4*x + l, 0 = x - 0*x - 3*l - 150. Let k be (-30)\/9 + 3 + x\/9. Is 14 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 828267853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 313 and 2817.\nAnswer: 2817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -262*l - 22*l**3 + 260*l - 728 + 9*l**3 + 11*l**3 as j + d*l**3 + i*l**2 + b*l and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 119*b - 93. Let g(f) = 15. Determine -6*g(i) - x(i).\nAnswer: -119*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/42 and 46\/147?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 31 = -m + 18*f, 3*m - 2*f = 79. Suppose -z + 21 = 5*q, -2*z - 39 = -3*z + q. Calculate the remainder when z is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 35580 to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 3) to base 10\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 8, e: 3, n: 2}. What is prob of sequence ne?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4\/7, 37, -48 in decreasing order.\nAnswer: 37, 4\/7, -0.2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7773?\nAnswer: 3, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 763406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 3:39 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/2)\/(1\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 27 = 3*r - 26, 2*r + 2 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 - 96.2. Let l = -0.029 - 22.971. Let c = l - x. What is c rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/85)\/(21 + -26).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 113 + 42 = 0. Is n equal to 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmqddkamgammmq. What is prob of sequence amk?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -16\/5, 19\/5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -126 + 126 + 3*w - 3*w**3 + 2*w**3. Suppose 0 = -2*o, k - 5*o - 2 = 2*k. What are the prime factors of q(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - y**2 - y - 12. What is o(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29e - -32?\nAnswer: 2d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 108 - -2237?\nAnswer: 2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 n when three letters picked without replacement from {r: 8, h: 2, f: 5, w: 2, n: 1}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 85534.15 nanometers in millimeters?\nAnswer: 0.08553415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3.84, -0.06, -2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1375 and 58375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 + 2. Let s be 25\/(-10) - 33\/6 - -3. What is the nearest to 2 in 0.06, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d + 295. Let y be p(40). Solve y = 5*o, f = 3*o - 8 - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363*f + y = -360*f - 438, 0 = 5*f - 3*y - 734. Let r be (-2 - -3)*(-10)\/(-2). What is the highest common divisor of f and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 11. Let z be k(10). What is the units digit of (z\/(-2))\/((-2)\/68)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.741746 litres in millilitres?\nAnswer: 4741.746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 5*j + 8. Suppose -16 = -4*k + j. Solve 0*v + 2*v = -k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49992 and 461463654.\nAnswer: 12498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(10)\/sqrt(5) - (-3 + sqrt(72)).\nAnswer: -9*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1728200 to the nearest 10000.\nAnswer: 1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 572, -1\/6, -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4 - 4806*s**3 + 19191*s**2 - 23976*s + 9588 = 0. Calculate s.\nAnswer: 1, 2, 1598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736650845.\nAnswer: 5, 7, 43, 11383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 12, 2*j = -2*j - 4*h + 32. Suppose -c = j*c - 5. Which is greater: c or -2\/31?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(15525\/(-46))*(-10)\/(-8)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*c - 0*q + 8, 2*q = 3*c - 4. Let x be 4\/10*(4 - 24). Let r = x - -15. Solve c = -3*h - r + 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -33. What is the nearest to d in -2, -0.2, -31, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 1\/4 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*w + 74 - 403 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110000000110010 - 111110010?\nAnswer: 10000101111001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8700 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166659 is divided by 5376.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7783531 or 7783528?\nAnswer: 7783531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 10:26 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -80 + 42 - -45.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -254 (base 6) to base 15\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5929284?\nAnswer: 2, 3, 494107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/2090 and -27\/16.\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -y - 3*y + 2180, -5*s + 2690 = -2*y. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (-1*sqrt(56)*-5)\/((sqrt(100)\/sqrt(5))\/sqrt(10)))*4.\nAnswer: -21 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 83*r**2 + 159*r - 197. Give z(-81).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138890618071.551527479 + -138991909715.086928. Let f = z + 101292309.5354. Let m = f + -666. What is m rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((3 - 4) + 4 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.07 (b) 2 (c) 1\/4 (d) 0.09 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-5)*m)\/((m*m*m\/m**(1\/4))\/m))\/(m**3*(m\/(m*(m*((m\/(m*m*m*(m**(7\/2)\/m)\/m*m))\/m)\/m)\/m))\/m) assuming m is positive.\nAnswer: m**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -1799 in ascending order.\nAnswer: -1799, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 35. Let y(i) = 5*i**2 + i. Let d be y(1). Factor 6*j - 2*j**3 - 4*j - 14*j - 18*j**2 - d*j**3 - v.\nAnswer: -2*(j + 1)**2*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23441551 <= -23441584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 2*o - 0*o. Let b = o + 88. Suppose 2*k - b = 10. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p. Let x(s) = -3955964*s**2. Calculate l(x(g)).\nAnswer: -7911928*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234059?\nAnswer: 7, 29, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 21*z**2 - z - 15. Determine u(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.5, 0.1595?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1 + 0*g + 2*g - 5*g + 2*g. Let k be s(-7). Let p(l) = -l**2 + 6*l - 2. Let f be p(3). Do f and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 983728640*d + 0 + 0 + 983728640*d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4843.872746 to the nearest 10.\nAnswer: -4840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 41*d - 43*d - 2648470, 1324223 = 2*l - 5*d. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 46*i**2 + 116*i - 400.\nAnswer: -2*(i - 25)*(i - 2)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 698353 + -698358.000016. Let p = 0.8 + 4.2. Let i = p + t. Round i to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*32\/36*3\/(-12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g**2 + 3*g. Let d be m(2). Suppose -9*w + d = -4*w. Let y(n) = 11*n - 18. List the prime factors of y(w).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/7270200 and -121\/126?\nAnswer: 7270200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 1319 - 912 - 1015 = -g for g.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 - 2*p + 22*p**2 - 937 + 937.\nAnswer: 16*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {h: 1, m: 1, t: 2, a: 1, j: 2, q: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63694*p**4 + p**2 - 14*p - 7451500 with respect to p.\nAnswer: 254776*p**3 + 2*p - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**2 + 30*m + 93. Determine s(-7).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-56)\/(-26) - 26\/169. Is 20697*s\/6 - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -120*h**2*t*w - 17*h**2*t + 2*h**2 + 2*t*w wrt w.\nAnswer: -120*h**2*t + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*n + 126, -n + 51 = 2*v - 0*n. Suppose -3*c = -205 - v. List the prime factors of c.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 8*x. Let g(t) be the second derivative of 14*t + 0 - 1\/2*t**3 + 0*t**2 + 1\/12*t**4. Calculate -11*g(h) - 4*p(h).\nAnswer: -3*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/3 and 19\/18195972?\nAnswer: 18195972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 29.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -484 (base 12) to base 2.\nAnswer: -1010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804016 is divided by 9241.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2 + 1437*v + 96714 = 0. Calculate v.\nAnswer: -398, -81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9501525 to the power of 1\/2, to the nearest integer?\nAnswer: 3082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 0\/1 + 47 - 1 and 13 + -8 + (-2 - -7).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270635?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {e: 1, u: 1, x: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 11\/2499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 9*q**2 + 5*q + 77. Calculate the remainder when 302 is divided by d(-5).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2348*o + 1278*o + 5563*o + 67 - 67 to the form p + y*o and give y.\nAnswer: 9189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1914 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87.85361018 - -5.\nAnswer: 92.85361018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 20 = -2*r. Let s = 11 + r. Calculate the greatest common divisor of s and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 105*x**2\/2 - 7278. Let f(a) = 3*a. Calculate g(f(y)).\nAnswer: 315*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 1512*s - 141691. Calculate n(-100).\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y - 3. Let l be w(-2). Let i = 0.4 + -0.3. What is the closest to i in -0.4, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {u: 2, m: 3, v: 4, d: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q + 10. Let h be 1\/(0 + (-1)\/q). Calculate the highest common divisor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215812837 divided by 2.\nAnswer: -215812837\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 13, 125, 0.1757.\nAnswer: 0.1, 0.1757, 13, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 5*z = -26. Suppose -5*q = -z - 17. Calculate the greatest common divisor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 682856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34, 111, 188, 265, 342, 419?\n\"Answer: 77*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 219 - -735?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*l + 10, 8 = 2*l + 5*w - 2. Suppose x = l*x. Suppose -2070 = 3*f - x*f. What is f rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13384 (base 11) to base 2.\nAnswer: 100101010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/9 - 2\/3. Let y = 3 + r. Suppose 0 = l - y + 1. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/15))\/b**(-1\/4))\/(b**(-7)\/(b**(-4)\/b))*(b**5\/b)\/b*b*b*b\/b**(-5\/6)*(b*b**7)\/b**7 assuming b is positive.\nAnswer: b**(223\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 502771 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**6\/900 - k**5\/75 - k**4\/20 + 2*k**3\/3 + 21*k**2\/2 - 42. Let d(o) be the third derivative of b(o). What is x in d(x) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from wkhkwwwwkhh?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (0 - 1) - -2) + (-105 - -111)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 742092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7562196 hours in milliseconds?\nAnswer: 2722390.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125\/9 - -652\/45. Factor 6\/5 - h*m**2 - 3\/5*m.\nAnswer: -3*(m - 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 18100655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*g + 153*g - 67*g + 153*g + 238*g to the form b + x*g and give x.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4526507603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, a: 5, t: 2, n: 2, v: 1, h: 7}. Give prob of picking 2 o and 2 h.\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a - 4. Let g be v(-3). Let c be ((-2)\/6)\/(g\/(-120)) - 1. Let x(d) = -d**3 + 8*d**2 - 5. Calculate the remainder when x(c) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5363264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + w**2 + w - 8*w**2 - w - 45*w**2 + 51*w**2.\nAnswer: -w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 164986 = -31*b + 702820. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 612*k**2 - 41198*k + 253. What is v(77)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -606, -625, -672, -759, -898, -1101, -1380, -1747?\nAnswer: -2214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*l + 3*y - 18, 0 = 2*l - 3*y + 8. Solve l*o + b = -o - 1, 0 = -5*o - 3*b + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3485 - 3485. Let q = 0 + -3. Which is the second biggest value? (a) h (b) q (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 17*p**2 - 16*p - 4. Let n = -645 + 629. Let q be v(n). Let i = -8 + 19. Sort i, q, -5 in ascending order.\nAnswer: -5, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(1*sqrt(104) + sqrt(104)))\/sqrt(8) + (-1 + sqrt(208) + 5 - ((sqrt(208) - (sqrt(208)*2 + sqrt(208))) + -1))**2.\nAnswer: 126*sqrt(13) + 1893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -717 divided by 3.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 7. Let s(r) = -5*r**2 + 2*r + 1. Let x be s(-1). List the prime factors of u(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m**3 + m - m)*(2 + 1 - 9) + 3*m**3 + m**3 - 6*m**3 to the form g + c*m**2 + q*m**3 + r*m and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-40))\/((-514)\/(-16705)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/6 and 103\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k + 12*k - 19*k + 2*k. Let r(t) be the second derivative of 0*t**3 + 0*t**2 + 1\/4*t**4 + 0 - 13*t. Give r(s(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 4094*g + 619032. Give d(146).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o - 30. Suppose -o*u = -u - 670. What is u rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, u: 14}. Give prob of picking 1 u and 2 b.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 2:09 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + y + 21. Let x(n) = -n**2 - 6*n. Let v be x(-6). Let p be g(v). Let w = p - 17. Solve -i = -1 - w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -270? (a) -6\/11 (b) -5 (c) 0.2 (d) -2\/5 (e) -156\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*t - 466 = 2574 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.5? (a) -424 (b) -3 (c) 18 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x + 9. Suppose -4*j = -5*n + 12, -2*n = 4*j + 3*n + 52. Let d be z(j). Round d to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 104 + 76 = 0. Let t be 10 + (6\/(-1) - 2). Put h, 0, 5, t in descending order.\nAnswer: 5, t, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + 4*k. Let c(h) = -3350 + h**2 + 3350. Determine c(f(u)).\nAnswer: 9*u**4 + 24*u**3 + 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/(-10) + -2)*5. Let o(x) = -x**3 + 8*x**2 + 7*x - 3. Let u = -3 + 2. Let a(y) = -y**2 - y + 1. Let w(t) = u*o(t) - 6*a(t). Calculate w(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*m - 3, 132*m = 136*m + 12. Let l(k) = -3*k**3 - 3*k - 3. Let d(a) = -a**3 + a**2 - a. Let n(i) = -4*d(i) + l(i). What is n(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 20, -3 in decreasing order.\nAnswer: 20, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2210551 (base 6) to base 12\nAnswer: 53a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448312.7 rounded to the nearest one thousand?\nAnswer: 448000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 105*k**2 + 1281*k + 108. What is p(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*j + 12, 7*a - 4*a + 2*j = -8. What is the second biggest value in a, -2, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -237, -492, -767, -1062, -1377, -1712?\n\"Answer: -10*d**2 - 225*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 964197172 a multiple of 458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 7*l + 63. Let i be o(-10). Suppose -x + 5*j = -4*x + 59, 2*x = 3*j + i. Calculate the remainder when 33 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 3*u. Let i(h) = h**2 + 2*h. Let t(a) = -7*i(a) + 4*r(a). Find b, given that t(b) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7. Solve 0 = -2*y - u + 5 + g, 2*y - 4*u + 12 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.01, -67\/29793?\nAnswer: -67\/29793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 106*j**2 - 179*j + 3024. Calculate c(-104).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**2\/2 + 205*k + 1. Let c be b(0). Suppose -2*f - 285 = -5*t, 3*f - c = -4*t - 0*f. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -591, -577, -537, -459, -331, -141, 123?\n\"Answer: 2*u**3 + u**2 - 3*u - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*x + 2 = 0. Let u be (x\/(-6))\/((-3)\/5121). Suppose 3*s - 353 = -4*v, 4*s - 3*v - u = -s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 9. Let l be o(-5). Suppose -3*t = -8 - 7. Let p = 3 - t. Sort p, 4, l in descending order.\nAnswer: 4, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/12*(-6)\/(-4). Let x be (-3)\/(6\/(-4) + u). Let k(m) = -3*m**3 - 6*m - 2*m**3 + 4*m**3 + 7*m**2. Calculate k(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10*f**2 - 26*f + 87. Let s(r) = -11*r**2 - 27*r + 107. What is 5*i(w) - 4*s(w)?\nAnswer: -6*w**2 - 22*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/658 and 81\/253792.\nAnswer: 11928224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) - (-19)\/(-3). Let o = g + 6. Let u(t) = 3*t**3 - t**2 - t. Give u(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.4 + 7.2. What is the biggest value in 3\/8, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -82, -99, -126, -163, -210, -267?\n\"Answer: -5*z**2 - 2*z - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - 0.2. Let t = 0.3159 + 0.0681. Let z = 0.684 - t. Which is the nearest to 0.1? (a) z (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29837\/49745 + 2\/9949. Factor -24\/5*k + d*k**2 + 48\/5.\nAnswer: 3*(k - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekeeeeeeekkeeeekee. Give prob of sequence eeee.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5509 is divided by 1098.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -3. Let r = -34 - -24. Let x = 10.4 + r. What is the biggest value in v, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = t - 252, 0*t - t = -4*w - 251. Suppose -j + 5*j + t = -z, j + 5*z = -59. Let r = -321\/5 - j. Which is the nearest to -0.2? (a) 4 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/36*22\/99?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10 = p, -8*o = -9*o + 4. What is the nearest to p in 0.9, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000111000 (base 2) in base 5?\nAnswer: 13310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 27. Which is the third smallest value? (a) -0.5 (b) f (c) 0.6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 33493 = w, 66961 = 2*r + 24*w - 27*w. What is the ten thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8*a + 14. Let c be (-6)\/9*9\/(-6). Let q(o) = c + o - 4*o - 6. Let u(w) = 11*q(w) + 4*r(w). What is u(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 37586.\nAnswer: 37586.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - 4) + -5 - 1) + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606*a - 182*a - 142887 + 142887.\nAnswer: -788*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*a - 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*c - 2*c = -51, c - 1 = 0. Let w be -1 + 6 - (-248)\/k. What is the smallest value in w, -0.3, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (537138\/(-10))\/(-7) - ((-85)\/(-25) - 3).\nAnswer: 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(112) + sqrt(112))\/sqrt(8))\/(sqrt(7) - (sqrt(7) - (1*sqrt(28))\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 23 - 103. Let n = z + 32. Suppose -3 = -w - 4*m + 1, -w + n = -2*m. Calculate the remainder when 46 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:37 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14*v**3 - 6*v**2. Let c(n) = -42*n**3 + 17*n**2. What is 6*c(r) + 17*d(r)?\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + -1*sqrt(1008)*2))**2 + -2.\nAnswer: -6912*sqrt(7) + 145726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (150 - 166) + -1 + 41\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 284*i**6 + 3*i**2 - 53*i?\nAnswer: 34080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*4*(1 + sqrt(242))*-3*1.\nAnswer: 144 + 1584*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*j - 7 - 9, 2*j + 4*b = -8. Let i(f) = -963*f + 12. Let s be i(j). Suppose 242 = 2*d - s. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.55 - -2.55. Let w = 0.2 + -0.1. What is the nearest to d in 0.2, 3, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -529 - -571. Let b(k) = -k + 12. Calculate the smallest common multiple of b(-6) and a.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55438 by -106.\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*c + 6*c**2 - 2*c)*(-1 - 3 + 3)*(-4*c - 2*c**2 + 4*c) + 4*c**3 - 4*c**3 - 2*c**4 + (0*c**3 + 2*c**3 + 0*c**3)*(12 - 12 - 7*c).\nAnswer: -4*c**4 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1658\/7 - 238. Find the common denominator of f and -8\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**22)**(-2\/9)*v**(-1\/42)*v\/(v\/v**20))**(-2\/3) assuming v is positive.\nAnswer: v**(-205\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 10:59 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22220 (base 4) to base 11.\nAnswer: -569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.171349 - 835130?\nAnswer: -835129.828651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/24*(87 + 3). What is the highest common divisor of 480 and z?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, d: 7}. What is prob of picking 3 r?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*m + 16, -5*b - 1 = 4*m - 8. Sort m, -4, 2, -1 in ascending order.\nAnswer: -4, -1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4480 and 3\/9520?\nAnswer: 76160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 64315 or 64313?\nAnswer: 64315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -239212 and 18066524.\nAnswer: 17827312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18.1*-3\nAnswer: 54.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/43)*(z*z**(2\/3)*z*z)\/z)\/(z**(-22)*z**11) assuming z is positive.\nAnswer: z**(1766\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -175*r - 65. Let l(b) = 8*b + 3. Suppose -27*x + 30*x = -390. Calculate x*l(q) - 6*t(q).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31365 - 31289. What is the lowest common multiple of f and 29?\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/(-6))\/((-30)\/4 + 6). Solve -5*u - 3*s = -17, -5*u = -f*s - s + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 5 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3 - 2328*d**2 - 27612*d - 82512 = 0.\nAnswer: -764, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g**3 + 4*g**3 - 3*g**3)*(-2 + 2 + g) + 219 + 67 - 14*g**4 + 15*g**4 as t*g**3 + i*g**2 + l*g**4 + y + m*g and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107584 + 158754. What is y rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3050*t + 3043*t + 77. What is the remainder when 36 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and 2399?\nAnswer: -43182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 39*t - 19. Suppose -2*d + 119 = 4*a - 33, 3*d - 190 = -5*a. Calculate the remainder when 71 is divided by r(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2505 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -33*l. Calculate the remainder when 163 is divided by j(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-2))\/(18\/(-14) + 3). Let x = -27\/22 + -3\/11. Let h = u + x. What is the smallest value in h, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/106)\/((38\/8)\/19).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d + 161 = -95 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1246)\/(-8))\/7)\/(5170\/(-20680))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76943*f**4 - 178*f**2 - 39443*f + 282.\nAnswer: 923316*f**2 - 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*w - 15*l + 18*l, 3*w + 4*l - 10 = 0. What is the smallest common multiple of w and 896?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -186 - -30.1. Let s = 306 - 159. Let c = w + s. Round c to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(1300))*2 + (-1*sqrt(104)*6)\/(sqrt(800) + sqrt(800) + sqrt(800)*2).\nAnswer: -803*sqrt(13)\/20 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18834854 is divided by 8334.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/19, 16\/7, 0.04, 15?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4621 - 4614. Let k be 11 - (-3 - (1 - 2)). Solve b = -5*i - k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -3*a + 18, -25 = -3*a + 5*t + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.5984 to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1697.748124 rounded to the nearest ten?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -5, -60\/18799.\nAnswer: -5, -60\/18799, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -142417.9999941629 - -142418. Round f to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -14.84. Let d = -1.46 - w. Let t = -3.3 - d. What is the closest to t in 0.3, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83801585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 + 57. Let p be s\/(-6)*(-3)\/2. Let z = 12 - 16. Put -2\/5, z, p, -0.2 in ascending order.\nAnswer: z, -2\/5, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*t**6*v**3 - 769*t**4*v**3 - 3*t**2*v**3 - 13*t**2*v**2 + 4*t**2 - t wrt t?\nAnswer: 600*t**3*v**3 - 18456*t*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-33))\/8)\/((56\/3)\/(-8)).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 7)*(5\/2 - 0). Sort g, 9, 1, -5 in decreasing order.\nAnswer: 9, g, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 0.4 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 13. Let f be i(-8). Let q be f\/((-50)\/(-6)) - (-2)\/5. Is q less than -2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*s - 98 + 170. Let z(j) = -j**3 - 7*j**2 + 4*j + 63. Let a be z(s). Factor 1\/4*d**2 - d - 1 + 1\/4*d**a.\nAnswer: (d - 2)*(d + 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026*i + 11014 - 70522 = 0 for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 180, 876, 2384, 4992, 8988, 14660, 22296, 32184?\n\"Answer: 48*f**3 + 118*f**2 + 6*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13091 and 265.\nAnswer: 65455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*j - 2\/13*j**2 + 2\/13*j**4 + 2\/13*j**5 - 2\/13*j**3 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -14. Suppose -g + q = -b, 7 + 6 = g + q. What is the greatest common divisor of g and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjyffyjjjyjyfj. What is prob of picking 2 f and 1 y?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvd when three letters picked without replacement from {q: 1, d: 9, v: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 322298639 a multiple of 579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*a**3*n**2 - 440413*a**3 + 80*n**4 + 9*n with respect to n.\nAnswer: -82*a**3*n + 320*n**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 2*f - 3*f**3 + (-f + f**2 + f)*(7*f - 16 + 16) to the form q*f + a*f**2 + k + o*f**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/65 + (-9)\/(-5))\/(1\/5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 - -194. Calculate the common denominator of 79\/33 and (2 + -4)*3\/m.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1781 + 4371. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 5, -1\/420 in descending order.\nAnswer: 5, 3, 0, -1\/420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**3 - 9. Let a = 95 + -53. Let o(j) = 10*j - a*j + 22*j. Calculate o(v(u)).\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (-6*(sqrt(500) + 4*sqrt(500)) + sqrt(500)))\/(-3*(sqrt(500)\/sqrt(10))\/sqrt(5)).\nAnswer: -50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-2)\/1 + 6 + (-42)\/6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1159\/84 + -96\/7. What is the closest to -2\/11 in 2, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3 - 46*t**2 + 56*t + 3520 = 0?\nAnswer: -20, -11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**2 - 6. Let o be (-5 - -4) + -6*1\/(-2). Let p(g) = o*g + 4 - 2 - 1 - 17*g. What is n(p(t))?\nAnswer: 30*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 603 + -1379915.\nAnswer: -1379312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)\/(g*g**(2\/9)))\/(g**(2\/15)*(g*g**(-6)\/g*g*g)\/g) assuming g is positive.\nAnswer: g**(29\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*n*x*z + 3*n*z**2 - 7*n*z - n + 3*x*z**2 + 3*x*z + 10*x - 3*z**2 wrt x.\nAnswer: -5*n*z + 3*z**2 + 3*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 51)\/(-3 - -1). Suppose -g + 4*x - 2*x + 10 = 0, g + 5*x + j = 0. Suppose 0 = -5*a - g*a + 180. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143 + 155. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.09 - -2384\nAnswer: 2380.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -494 - -694. Let s = l - 199.563. Round s to 2 dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 4*w**2 + 2*w. Let b be d(-3). What is the first derivative of 30*g**b - 36*g**3 + 4*g - 4*g - 2 wrt g?\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (2784\/120 - 22)*60.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300 + 566 + 3*x - 266 + 37*x**2.\nAnswer: 37*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-6) - (-1)\/1. Let o be 2*2 - (-4)\/2. Let y = p - o. Calculate the highest common factor of y and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 147598*q**2 - 73738*q**2 - 2 - 73495*q**2 as z*q + r + f*q**2 and give f.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 30807044, -4.\nAnswer: -4, 2, 30807044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1508*f**2 + 3414*f.\nAnswer: 3016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 + ((4 - 10) + -9 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - f - f)*(12 + 20 - 8)*(0*f**3 + f**3 - 2*f**3) as y*f + r*f**4 + x*f**2 + z + c*f**3 and give r.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13179 is divided by 136.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*j + 5 = 12, 3*u = 4*j - 14. What is the nearest to -12 in 1\/2, 4, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/16 - 962\/(-104). Let h = -3 + 9. Solve h*a - f*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**5\/3 + 781*x**4\/3 - 23276*x**3\/3 + 19376*x**2\/3 + 31040*x - 30000 = 0?\nAnswer: -2, 1, 2, 30, 750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-10))\/((-6)\/(-8)))\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-15))\/((-8)\/56). Is -2 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13, -22, -31?\n\"Answer: -9*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:29 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 16*b - 21*b + 4*c, 5*b - 3*c - 123 = 0. Let w = b - -22. Calculate the highest common divisor of 345 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2 (c) 1\/3 (d) -4889226\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 + (-8648)\/(-414))\/((-16)\/(-72))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*g = 15*g + 434 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*z**2 + 750436*z - 214408.\nAnswer: -4*(z - 26801)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-3 + 0 - (40 + -51)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7*t - 28*t - 74*t.\nAnswer: -109*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 57. Suppose m - 6*n - 10 = -4*n, 0 = 5*m + 5*n + v. Solve 0 = -m*x - x - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 3*c + 15. Suppose 2*b + 3*b - 4 = 3*f, -c*f + 12 = b. Suppose b*z - 5*z - 3*v + 54 = 0, 4*v - 56 = -3*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 16) to base 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*x**2 + 40544*x - 40544*x.\nAnswer: -86*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -48140, -51153, -56146, -63095, -71976, -82765, -95438?\n\"Answer: 4*w**3 - 1014*w**2 + w - 47131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 1. Let j(y) = y - 1. Let x(k) = -11*j(k) - 6*t(k). Let o be x(-5). Let l = 21 - 23. Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 2\/5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4255*c**3*s**3 + 38*c**3*s**2 + c**3*s - 205*c**3 + 2*c + 2078*s**4 + 64 wrt s?\nAnswer: 25530*c**3 + 49872*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 342000 by -285.\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(1728\/18)*3*2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -354.00867 to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/8)\/(2\/(-12)). Let v be 5\/j - (5 - 2). Let w = -28.6 - -28.69. Which is the smallest value? (a) 2\/17 (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2.8. Let z = 0.2 - 0.3. Let v = m + z. Sort -3\/8, v, -3 in descending order.\nAnswer: v, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 1:53 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m + 14 = 5*o, -3*o - 5*m = -26. Let h be 30*((-4)\/o - -3). Suppose -h = -5*p + 5*t, -5*p - 4 = 3*t - 2. Is p smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171359 = -44*h + 170215 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82\/(-123) + (-14)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-16)*809\/(-180). Let g = -3\/160 + b. Let d = -0.7 + 3.7. Put -2\/9, g, d in descending order.\nAnswer: d, g, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v = -40*v + 318. Solve 100 - v = -6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55114250 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**4\/24 + 4*f**3\/3 + f**2 + 5. Let s(w) be the second derivative of o(w). Calculate s(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20406*g**3 + 37*g**2 - 664*g - 1242 wrt g?\nAnswer: 122436*g + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3461241 - 3*d - 3461241.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 382 - 1?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-1 + (22\/6)\/(-1)). Let z = d + 1. What is the third derivative of -31*g**5 + 316 - 26*g**2 - 316 - z*g**2 wrt g?\nAnswer: -1860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a5a (base 12) to base 14\nAnswer: 79c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100\/357 + -2\/357. What is the nearest to p in -4\/3, -1\/2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*u - 5*s, -5*u + 3*s = -2*s - 85. Let g(z) = -5*z + 2. Let x(i) be the first derivative of -11*i**2\/2 + 4*i - 2. What is u*g(y) - 6*x(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taa when three letters picked without replacement from ataa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**4 + 100*i**3 - 12*i**2 + 7*i wrt i.\nAnswer: 48*i + 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/4169 + -1655089\/8338. Let p = -228 - b. What is the common denominator of 124\/180 - 7\/(-35) and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 307 - 204. Calculate the remainder when z is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -9. Suppose z = 3*p - 3, -5*k + 5*p - p = -41. Suppose -3*f + 6*f - k = 0. Solve f*q + q = 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 4*c)*(3*c**4 - c**4 - 7*c**4 + (2*c - 3 + 3)*(-2*c**2 - 2*c**3 + 2*c**2)).\nAnswer: 36*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**5 + 441090*l**4 - 17207085*l**3 - 1764360*l**2 + 68828292*l = 0. Calculate l.\nAnswer: -147069, -2, 0, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29238?\nAnswer: 2, 3, 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 - 30*t**2 = 0. What is t?\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -437 + -532?\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*h - 5*f, h - f = -3*h + 46. Suppose j = h - 6. Suppose -j*s - 40 + 370 = 0. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.071 - 2.929. Let h = -1 - -1.1. Put g, h, -0.5 in decreasing order.\nAnswer: h, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -4. Let w be (2\/32)\/(h\/2). Does 0 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*11\/(110\/(-6))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 494.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z + 5. Let g be (-3)\/12 + (-15)\/(-12). Let y(u) = -2*u + 1. Let d(s) = g*p(s) - 5*y(s). Let k(q) = 6*q + 3. Calculate -5*d(v) - k(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 6. Let f be b(-10). Let h(d) = 2*d**3 - 2*d**2 - d + 2. Let a be h(3). Let q = a + f. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 2785 - 985. Is n a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11673?\nAnswer: 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.331 and -0.1.\nAnswer: -0.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -96, -5, 86?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**4\/12 - 7*w**3\/6 - 4*w**2 + w. What is the units digit of m(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.47142 to two decimal places.\nAnswer: 32.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c. Let h(v) = v**2 - 17*v - 28. Let p(k) = -h(k) - 5*o(k). Let s be 86\/6 + (-3)\/9. Let z be p(s). Let j(l) = -l**2 + l + 10. Determine j(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -24.1. Let i = -66\/5 - -13. Put v, i, 5 in increasing order.\nAnswer: i, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**8\/336 + n**5\/60 + 7*n**2. What is the third derivative of h(c) wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2. Let w(a) be the second derivative of -7*a**3\/6 - 6*a. What is i(w(z))?\nAnswer: -49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 2. Let c(v) = -v**2 - 21*v + 5. Let r(j) = -c(j) - 6*s(j). Let y(a) = -7*a + 20. Let x be y(5). What is the remainder when 20 is divided by r(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*z**3 + 239*z**2 + 1376*z + 135245184 wrt z?\nAnswer: 87*z**2 + 478*z + 1376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 < 287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -13) + -1 - 4 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18051162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31016029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-408)\/144)\/((425\/(-306))\/25).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1912229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/56*((-1824)\/80)\/19)\/(6\/(-16))?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpdp when four letters picked without replacement from {o: 3, e: 2, d: 2, p: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 3*y - 78 - 42 - 168.\nAnswer: 3*y - 221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 105857?\nAnswer: -10\/105857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 + 146. Which is the fourth smallest value? (a) n (b) 3 (c) 0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 6*f - 2*f)*(3 + 0 - 1)*(15*f**3 + 3*f**3 - 12*f**3) to l*f**2 + r*f**4 + g*f + d + y*f**3 and give r.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p + 0*p)*(-p**2 + p**2 - 2*p**2) + (-15*p**3 + 7*p**3 + 4*p**3)*(-4 + 3 - 1) + 320*p**2 - 320*p**2 - 41*p**3.\nAnswer: -35*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 13 (b) -1\/97 (c) 1689 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560923494 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/2)\/(41\/(-131282))?\nAnswer: 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epeeeeeeeeeeeeepee. Give prob of picking 1 e and 2 p.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 15*m - 49*m)*(-m**4 + 1 - 1) - 3*m**5 + 4*m**4 - 2*m**4 + 5*m**5.\nAnswer: 39*m**5 + 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + 5 + 1 + -1 + sqrt(1008) + -5).\nAnswer: -24*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -11010000100011001011101?\nAnswer: -11010000100011001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3204 and 45.\nAnswer: 16020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*u + 40*u - 138*u.\nAnswer: -151*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (0 + 6 + -9 + -2)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 109207.00814 + 20?\nAnswer: 109227.00814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/79734 and -17\/4774176.\nAnswer: 463095072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 180486 - 56715. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b. Let z be (-2)\/5*(1 - 6). What is the units digit of m(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 16) in base 7?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 16*s - 31. Suppose 4*v + 54 = v. Let r be p(v). Solve -r*j - 8 - 12 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -398 - -387 - (-3 + 11 - 100)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r - 4*r + 3504. List the prime factors of r.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 4, 0.01, -2\/7, -0.04949 in decreasing order.\nAnswer: 4, 0.01, -0.04949, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7*(3 + -1))\/2. Suppose 11 = 3*f - 4*h - v, -5*h = -2*f + 19. Which is the smallest value? (a) f (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -31 (b) -2045 (c) -0.0302\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 1:30 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 135 = 36. Suppose -5 + j = 4*t. Suppose -y = -3*n + t, -3*y - y = -n - 27. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**6\/180 - 5*y**3\/6 - 13*y. Let g(h) be the second derivative of a(h). Let c(d) = 8*d. Give g(c(t)).\nAnswer: -128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (120\/30)\/(-4*1\/(-3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 7*c**3\/6 - 21*c**2\/2 - 3*c. Let f be o(6). Suppose 2*r = f - 9. 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 w(j) = 9*j**2 + 6*j - 1. Suppose -1 = -u - 2*d, 0 = 3*d - 46 + 43. What is w(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1737584*i + 8687988. Determine h(-5).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.4 - 2.4. What is the nearest to u in 1, 7, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120221220330 (base 4) to base 15\nAnswer: 879a0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 - -0.09. Let p = x + -1.1. Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 15*w - 16. Let i be f(1). Let u be (-1 - 0)*(-1 + -3). Solve 3 = 3*z + u*t - i, -2*z + 6 = 4*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11222 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5\/12 - 3*a**4\/4 - 11*a**3\/12 + 7*a**2\/4 = 0. What is a?\nAnswer: -7, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 0 + sqrt(7) + -4 + 0)**2 + (sqrt(35)\/(-2*sqrt(5)) - sqrt(77)\/(sqrt(44)\/sqrt(4))).\nAnswer: -35*sqrt(7)\/2 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-10))\/(1\/(-5)). Suppose f*o - 5*o = 8. Let j(u) = -u**2 + 22*u - 22. Let n be j(21). Sort o, n, 0 in decreasing order.\nAnswer: 0, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -967\/3, 1\/2, 7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 544468.2 millilitres to litres.\nAnswer: 544.4682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - 17 - (-107 + 111).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -31002 + (12\/(-2))\/(-3). What is r rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -331788*w + 331851*w + 567 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, x: 5, f: 6, w: 3, u: 1}. What is prob of picking 2 j and 1 u?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102.695 + -103. What is j rounded to 2 dps?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2\/1827, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*c**3 + 12*c**3 + 0*c**3 + 15*c**3 + 14*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*m + 63*m - 14*m.\nAnswer: 97*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = z + 67, -5*m + 2*z = -0*z - 69. Let q = 35 - 22. Let n be (-2 + q)*(1 - -12). What is the highest common divisor of n and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/28505 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {b: 4, o: 1, m: 1, f: 1, w: 6, t: 3}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114232.\nAnswer: 2, 109, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143035 + -2525?\nAnswer: -150004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5600875480 to the power of 1\/2, to the nearest integer?\nAnswer: 74839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -53, -76?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3))**32\/(s\/(s**8*s)*s\/(s**3*s*s*s)) assuming s is positive.\nAnswer: s**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -2*v**5\/85 + 5*v**4\/34 + 8*v**3\/51 - 44*v**2\/17 + 96*v\/17 + 144. Find w, given that m(w) = 0.\nAnswer: -3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*m - 10*m + 2*m + 25*m to r + i*m and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -1 + 1\/3. Let d = 59507 - 59510. What is the nearest to -2\/3 in d, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - g + 60, -5*q = 4*g - g - 82. Suppose 3*u - q*a - 3154 = -9*a, 2*a = -5*u + 5267. Is u a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.50158 times -8\nAnswer: -44.01264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.72156 + 0.51063. Round r to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w. Let y(m) be the first derivative of -m**3\/3 - 69*m**2\/2 - 2184. What is y(s(z))?\nAnswer: -81*z**2 - 621*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-8)*12\/2. Let r be -2 - 5\/(15\/k). Suppose o + 2*g + 13699994 = 0, 0 = -4*o - r*g - 3*g - 54799991. Round o to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feffefeffef. What is prob of sequence fee?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10752 divided by -448.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*j = -4*v + 477*j + 20, 2*v - 17 = 5*j for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {f: 1, s: 2, k: 1, x: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from {j: 2, b: 1, h: 1, t: 1, q: 1, z: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i - 5. Suppose -49*p = -51*p + 4. Let d be q(p). Solve -3*l - 2 = 4*h - 4, 2*l - h = d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 30445, 30480, 30523, 30580, 30657, 30760, 30895, 31068?\n\"Answer: x**3 - 2*x**2 + 34*x + 30412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6110 (b) 5 (c) -0.132 (d) 0.4 (e) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1 + (-9)\/10. Suppose -1719 = 2259*v - 310*v - 11464. Which is the third biggest value? (a) 3 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 19*y**2 - 6*y - 6. Let h(f) = 22*f**2 - 7*f - 7. Let r(q) = 7*d(q) - 6*h(q). Let a(m) be the first derivative of 2*m**3 + 4. Calculate r(a(k)).\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = -2*l. Let y(b) = -4*b + 5. Let q be y(l). Let o = -11 - q. Put 3, -1, o in descending order.\nAnswer: 3, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 1. Let j(r) = 24*r - 12. Let y = -7528 + 7526. Calculate y*j(q) - 24*v(q).\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a3 - 230?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45169 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**3 + 4*d**2 - 1. Let f(r) = 5*r**3 + 4*r**2 + r. Let o(k) = -7*f(k) + 6*w(k). What is the units digit of o(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 107.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 44 = -3*n. Calculate the remainder when 1079 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 at least as big as 1436\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 7. Let f be y(5). Let h be 28*(8\/f - -3). Let a be h\/(-12) - 10\/(-15). Which is bigger: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + (-3 - (-2 + 0 - -13)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 9 - 1\/6*p**3 - 2*p + 3\/2*p**2 - 7\/12*p**4. Let o(y) = -13*y**2 - y + 5. What is 3*o(j) - 5*t(j)?\nAnswer: -4*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*8\/20)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11966 - 11961. Let k = -2.99 - 0.01. Let n(r) = -r**3 - 5*r**2 - 5*r - 5. Let v be n(-4). What is the fourth smallest value in x, k, v, -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 1:01 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**3 + 12*q**3 - 20*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(99) + sqrt(99)*-1*2) - (0 + sqrt(99))*-1*-5)**2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/1400)\/(((-18)\/8)\/((-420)\/112)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 896 and 147308544.\nAnswer: 1031159808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n. Suppose n = -3*d - d - 8. Let w = -46 + 89\/2. What is the nearest to 3\/2 in 4, d, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 16.17 and -44754.\nAnswer: -44737.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((18\/(-27))\/(4\/(-6))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 2*g + 14. Let z be u(6). Let q(s) = 41*s + s**2 + 2 + 2 - z*s - 2*s**2. Let l(k) = -k. Let y(p) = l(p) - q(p). What is y(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -72, 3, -3, -5.\nAnswer: -72, -5, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/n**(4\/3))\/n)\/n**18)\/(n**(-20)*n\/((n*(n\/n**(-10\/9))\/n)\/n)) assuming n is positive.\nAnswer: n**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 2*sqrt(275) - 4*sqrt(99).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23313111 - -10?\nAnswer: -23313101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 2*k**2 - 17*k + 18. Let u(f) = -2*f. Determine u(q(n)).\nAnswer: -8*n + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 = 17*j - 594. Solve q - 11 = 3*y, 4 - j = q + y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, c: 1}. Give prob of picking 2 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-208) - (-33)\/(-264).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 1:48 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326*t - 2*m + 3062 = -325*t, 4*t - 5*m - 12248 = 0. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - 140.98. Which is smaller: a or 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 9*u - 1. Let l be n(-9). Which is the second smallest value? (a) -12 (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 76778268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 209906806741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 + 2a?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/9)*c)\/(c**(10\/7)*c) assuming c is positive.\nAnswer: c**(-62\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*q + 33. Let y = q - 5. Suppose 0 = l - t - y, -3*l = t - 27. What is the highest common factor of 72 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + 116. Suppose -f = 4*q + q. What is the units digit of (4 + -1)\/((-6)\/q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**4\/2 + r + 1. Suppose 94*n = 104*n - 500. Calculate the remainder when n is divided by d(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 635391*o*v**2 - 9*o*v + 2*o + 4*v**3 - 9745959 with respect to v.\nAnswer: 1270782*o*v - 9*o + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + (sqrt(55) - (sqrt(330)*-2)\/sqrt(6)) + sqrt(55))*3)\/((sqrt(5) - (sqrt(90)\/sqrt(3))\/sqrt(6)) + sqrt(405)*2).\nAnswer: 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*k - 5*l, 4*k + 2*l = 4*l + 12. Suppose 1 = y - k. Let t(z) = z + 2. Let b(u) = u**3 - 7*u**2 + 14*u + 7. Let x(j) = -b(j) + 5*t(j). Give x(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 12*q + 24. What is a(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/448 and 91\/3520.\nAnswer: 24640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 10462*o + 35680239.\nAnswer: -(o - 13171)*(o + 2709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47053539, 47053549, 47053565, 47053587, 47053615, 47053649?\nAnswer: 47053689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrrwrwrmwmrwmwwwxm. Give prob of sequence rmw.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 1\/19 (c) -5 (d) -4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7\/4)\/m**(-1\/7))\/((m**0\/m)\/(m*m\/m**(-4)*m)) assuming m is positive.\nAnswer: m**(179\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -1\/12*z**4 + 0 + 0*z**2 - 42*z + 0*z**3. Let d(r) = 0*r + 11*r**2 + 0*r. Give k(d(v)).\nAnswer: -121*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0133930565652 + -25.2.\nAnswer: -25.1866069434348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*h**2 - 1542*h**2 + 36*h**2.\nAnswer: -1909*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 2, a: 7, j: 2, i: 4}. Give prob of sequence aa.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) -1 (c) -0.4 (d) 2 (e) 0.64\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 23*x + 1150. What is h(-50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r**2 - 1. Suppose -3 + 9 = 5*h + u, 0 = 5*h - 5*u. Let n be p(h). Solve 3*a - n = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(192) + -5 + sqrt(192)*1*1)*1)**2 - (2 + -4 + (sqrt(192) - (sqrt(192) - (sqrt(192) + sqrt(192) + 1 + sqrt(192)))) + 3*(sqrt(192) + -1)**2).\nAnswer: -104*sqrt(3) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 68.77839l?\nAnswer: 68778.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3658357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/63))\/(n*n**32)*(n\/((n*n*n**9*n)\/n))\/(n*n*n*n**(-44)\/n*n) assuming n is positive.\nAnswer: n**(-65\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 8*j**2 + 13*j - 22. Calculate x(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -17*j**5\/60 - 29*j**4\/24 + 10*j**3\/3 + 69*j**2. Let r(m) = -6*m**2 - 10*m + 7. Determine -4*i(d) + 11*r(d).\nAnswer: 2*d**2 + 6*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45268 and -5.\nAnswer: -226340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58395b (base 12) to base 2.\nAnswer: 101011001110110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -3\/4 (c) -2\/11 (d) -1\/2 (e) -0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(832)*2 - sqrt(832))*-3 + sqrt(364)\/(-3*sqrt(7) - sqrt(7)) + (sqrt(5200) + -3*sqrt(5200) - sqrt(5200) - sqrt(5200) - sqrt(52) - sqrt(52)))**2.\nAnswer: 184093\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 2398986?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.208 + -7. Let g = b + -0.33. What is g rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 652274 and 745456.\nAnswer: 5218192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**3 + y + 2. Calculate s(-2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(6\/13)*((h\/(h\/(h\/h**24)))\/h)\/h assuming h is positive.\nAnswer: h**(-319\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 343, 443, 543, 643, 743?\n\"Answer: 100*o + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 2754.\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*o**3 - 121*o**3 - 471*o**3.\nAnswer: -509*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 54 = -2*y. Calculate the common denominator of 25\/3 and (7\/35)\/(y\/915).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 1 - 5 - (4 - 11). Are w and 8\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 638061864 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*k - 138, 2*i = 5*k + 116 + 83. Let m = k + 71. What is the greatest common factor of m and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4 + (sqrt(5) - (sqrt(5) + 1)) - ((sqrt(40) + sqrt(1000))\/sqrt(8) - sqrt(5))))**2*1.\nAnswer: -70*sqrt(5) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.3, -37, 3, 11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 9*w - 1 + 0 + 9*w. Suppose 5*v = 7 + 13. Suppose -5*s - v*y - 29 = 0, s + 2 = 3*y - 0. What is a(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3525 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {z: 1, l: 3, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-11 + 600\/54)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 9252?\nAnswer: -9256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(95)\/(sqrt(5) + sqrt(5) + (sqrt(5) - sqrt(80))*-4))**2.\nAnswer: 5*sqrt(19)\/7 + 4919\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 2*q)*(-4 + 3 + 2) - 2*q - 2*q + 5*q - 663 + 1256 - 2535*q - 593 to u + d*q and give d.\nAnswer: -2536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five halves of a century?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 15 = -5*w, -2*x + 12 = -8*w + 12*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5352 divided by -3?\nAnswer: -1784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 0.073?\nAnswer: -0.00584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -55\/12 and -151 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziazbrha. Give prob of picking 1 b and 1 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 7*l**2 + 262*l + 43. Let m be r(-20). What is the closest to m in 1\/20, 5, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 14 = -w + 5*n, -n = w - 3. Sort 272, -3\/4, w in ascending order.\nAnswer: -3\/4, w, 272","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*x + 30. Let g be (-4)\/18 + (-2409)\/(-27). Suppose 0 = -2*h - y + g, -4*y + 98 = 2*h - 0*y. What is the remainder when h is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 47*n**2 + 446*n - 140. What is v(34)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 810 - 805. Let k(d) = d**2 - 4*d - 9. Let r(b) = 4 - 7 + 4. Let l(j) = -k(j) - 5*r(j). Calculate l(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 207 = 10*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.015423 + 0.085423. Let i = 14.81 + -15. Is w > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sptkzpk. Give prob of sequence pk.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q - 12. Let w be (3 + 2\/q)*-2. Let d(r) = r**3 + 4*r**2 - 7*r. What are the prime factors of d(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.51 - -4.29. Let t = -0.8 + y. Let l be (-5 + 3)\/2*12\/(-20). What is the third biggest value in t, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 9:19 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 7:45 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141 - 17*o**3 + 77 + 67.\nAnswer: -17*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -9*a**2 + a - 49. Let s(k) = 7*k. Give s(f(n)).\nAnswer: -63*n**2 + 7*n - 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -19.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*294\/(-882).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3882 = 4*j - j - 3*n, 0 = j - 6*n - 1289. List the prime factors of j.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.640577 millilitres?\nAnswer: 0.002640577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -38 (c) 0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/7 + (-80)\/(-14). Let m be ((-412)\/9)\/(p\/9). Let o = m - -68. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from {p: 2, u: 10, y: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (32 - -70) - -71?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-8) + -3)*-6. Suppose -5*n = -i + 24, 9 = i + w*n + 1. Let p(j) = 8 + j - 4 - 4 + i*j**2. Give p(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/59 (b) 14\/3 (c) 0.4 (d) -9107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**5\/120 + 7*h**3\/3 - 22*h**2. Let k(a) be the first derivative of g(a). Let p(z) = 6*z**2. What is k(p(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 0 + 0 - 4*s. Let m(k) = 6*k + 15. Let h(n) = -5*n - 12. Let f(l) = -5*h(l) - 4*m(l). Give y(f(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 16. Let j be h(-15). Suppose -2*a + 3*v = -179, -3*v + j = -2*v. Calculate the highest common factor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*t - 2*n, 4*t + 9 = 5*n - 0*n. Is t > 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a**(-2\/3)\/a)\/a)\/a*a))**(-2\/13)*(a**2)**(1\/12))\/((a\/a**(-2))**39*(a**(-1))**(-25)) assuming a is positive.\nAnswer: a**(-11107\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26294 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 9*a**2 - 10*a + 1. Let k be z(8). Let q = k + 35. Solve 4*b = -b - q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z + 4. Let t(y) be the third derivative of -y**6\/120 + 2*y**5\/15 - 7*y**4\/24 + y**3\/3 - 7*y**2. Let p be t(7). Is c(p) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 9*a - 54. Let z be m(6). Suppose z = 7*p - 29 - 13. What is the remainder when 8 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46331231 + 2224011259\/48. Let r = 2337 - i. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/9)\/(2\/(-54)). Suppose s*b - 168 = 6*b. Let n = b + -36. Solve -3*y + 5*a = -n, 4*a - 2 = y - 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2172*c + 4209*c - 2037*c + 8*c**2 + 0*c**2 - c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 7:18 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 3 + a**2 + 2*a**2 - 10*a**2 - 13*a. What are the prime factors of q(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7978293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a666 - 11a?\nAnswer: -a784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 2*t**4 - t + 19*t**4 - 6*t**4 + 67*t**4 - 3*t**3 - 3*t**4 + 3*t**3 + (-2 - 3 + 3)*(1 + t**4 - 1) as a*t**3 + v*t**4 + h*t**2 + q + b*t and give v.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/1149 and -77\/2715.\nAnswer: 1039845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.982 + -0.363.\nAnswer: -1.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 185.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = 31*z - 15*z + 324. Calculate the remainder when 531 is divided by z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 14*a - 11. Let p be b(12). Suppose 3*g - 4*v - v + 7 = 0, -p = 2*g + 5*v. Put -3, g, 1 in increasing order.\nAnswer: g, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.588479 days in weeks?\nAnswer: 3.655497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7124)\/822)\/(2\/3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 14 = 4. Suppose 0 = -5*u - d + 125, d - 2 = u - 27. Let b be 5\/u - (-28)\/r. Are 3\/2 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/76 - 1\/((-855)\/(-180))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 9 + 46. Suppose 3 - v = 2*y, 1 = -3*n - y. Suppose 3 = r - n. Which is smaller: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 + -20 - (275 - 3)?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0.2, 0.1, -0.1 in decreasing order.\nAnswer: 19, 0.2, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 415480 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (13 - (7 + 66)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/4 of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 645075 + 42.2\nAnswer: 645117.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - -5. Suppose 3*h - 5*p = i, 0 = h - 4*p + 2*p - 6. What is the hundreds digit of h\/(-3) - (-5 - 2695\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/5*z**3 - 8\/5*z**2 - 2*z**4 - 2\/5*z**5 + 0*z + 0.\nAnswer: -2*z**2*(z + 1)*(z + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2995525, -2995486, -2995431, -2995360?\nAnswer: -2995273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -29 (c) 5 (d) 55 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139*i**5 - 444*i**4 - 101203*i**2?\nAnswer: -8340*i**2 - 10656*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 33 times 4\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13451958.\nAnswer: 2, 3, 13, 57487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (5 - (-12 + 15 + -12)) - 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29\/462, 3, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4616 a factor of 558572928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11242? (a) 1 (b) -51 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(3\/6*710). Let j be (-13)\/(70*142\/332). Let u = j - d. Is u at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*u - u - 2*k, -5*k = 0. Suppose -2*q - 3 + 0 = x, -u*x = 3*q + 2. Suppose x*z + 18 = 683. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 2*w + 9*w + 0*w - 4*w + 3*w + 21*w - 36*w - 47*w + (-2 + 1 + 3)*(-3*w - 3*w + 4*w) in the form h + d*w and give d.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71659 by 2471.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) + 1)) + 0 - -4*(1 + sqrt(396)))**2*-5.\nAnswer: -31725 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + ((6 - 5) + 3 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * 130258\nAnswer: 15630.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 8*n**2 - 1. Let u(d) = -d**2 + 10*d + 4. Let g be u(10). Let t be (g - 0)\/((-12)\/18). Let i be 123\/15 + t\/30. What is r(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a microgram in nanograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 559 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1618 - 4.8382. What is the smallest value in x, -12\/25, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t + 20. Suppose 5*y = 4*y + 6. Let c be d(y). Let s be (-2)\/(-4) - 10\/4. Sort c, s, 0 in ascending order.\nAnswer: c, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*p - 8*p - 7*p + 6)*(-1012*p**3 + 500*p**3 + 501*p**3 - 38) to b*p**4 + x*p**2 + u*p**3 + c + a*p and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juuudjuuuzdujuzuz. What is prob of picking 2 j and 1 d?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 + 2*c + 2. Let w(n) = -21*n**2 - 36*n - 98. Let m(u) = -5*d(u) - w(u). Factor m(l).\nAnswer: (l + 4)*(l + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-1*sqrt(19))**2*3 + 2*sqrt(19)*-6 - ((sqrt(95) + (sqrt(95)*1 - sqrt(95)))*-2)\/sqrt(5)))*6*-1.\nAnswer: -366 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*(6\/(-7) + 1)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56.5 - -57.5. Let h be -2 - 7\/(7\/(-6)). Let y be (-5)\/(5\/h) + -1. Which is the nearest to -0.2? (a) z (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.356524 milligrams in nanograms?\nAnswer: 356524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(1\/3))\/z*z\/(z**4\/z)*z*z**(1\/10)\/z*z\/(z**1*z)*z)\/((z**(-2\/13)*z)\/z**1*(z*z**(-2\/7))**(-40)) assuming z is positive.\nAnswer: z**(75053\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 35098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*b**2\/11 - 1443*b\/11 - 270\/11.\nAnswer: -(b + 90)*(16*b + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.9 - 1.65. Let r = -0.45 + c. Put 5, 2, r in decreasing order.\nAnswer: 5, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 984 + 420 = 0. Let u be 4\/(-3)*m*5\/4. Suppose -5*n + u = 5*f, -5*n = -f - 0*f + 60. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74722\/1863 or -41?\nAnswer: -74722\/1863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.96 < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 9*h - 57388 = -14*h, 4*c = 5*h + 76459. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*n**2 - 11 + 113*n**2 + 2.\nAnswer: 2*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chm when three letters picked without replacement from {v: 1, h: 1, l: 1, c: 1, m: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + -212011210?\nAnswer: -212012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**3 - 20*r**2 - 22*r - 598. Calculate w(-8).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1719\/2 - -858. Sort -4\/21, -8, z in ascending order.\nAnswer: -8, z, -4\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1932)\/1296 + -1*(-6)\/4. Let i(d) be the third derivative of -2\/27*d**3 + 6*d**2 + h*d**4 + 1\/270*d**5 + 0 + 0*d. Factor i(q).\nAnswer: 2*(q - 1)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1056 = -8*c. Let j be (-550)\/c*13\/5. Let x = 1869\/232 + j. Is -1 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 l when three letters picked without replacement from {h: 4, o: 5, b: 6, l: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1633625 and -11559280?\nAnswer: 13192905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 + 388. List the prime factors of (q\/4)\/((-2)\/(-4)).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4802137 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6 + 6 - g - 8. Let y be 5\/1 + (1 - 2). Suppose -32 = y*o - 60. What is a(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00055148128 rounded to six decimal places?\nAnswer: -0.000551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 796877 (base 13) to base 3\nAnswer: 12101211220102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -11276\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 297*q**2 + 95*q**6 + 9*q**3 + 11*q**3 + 2*q**4 - 22*q**3 + 2*q**3 wrt q.\nAnswer: 11400*q**3 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -53*o**2. Let q(n) = -12*n - 6. Give r(q(k)).\nAnswer: -7632*k**2 - 7632*k - 1908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1522, 3046, 4570, 6094, 7618, 9142?\nAnswer: 10666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -530 - 9c20a?\nAnswer: -9c73a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11627 or 0.031?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 25.2 and -1838338.34.\nAnswer: -1838313.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 8. Let j = 52.12 - -0.88. Let l = j - 48. Which is the smallest value? (a) q (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 20 + 0*a**3 - 10 - 10.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a + 2?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*t + 144 = -309*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-8)*2*(1 + 0). Sort d, 0.5, -3\/2, -3.\nAnswer: -3, -3\/2, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/2 - 5*g**4\/2 - 301*g**3\/2 + 5*g**2\/2 + 150*g = 0. What is g?\nAnswer: -15, -1, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -1088.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4636700 to the nearest 100000.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {f: 1, v: 5, o: 5, w: 5, z: 1, c: 2}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**3 + 0*z**3 + z**3)*(40*z + 58*z - 8*z + 36*z) to n*z**2 + k*z**3 + t + u*z**4 + d*z and give u.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 98637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/(1\/(-2)). Let m be (-21)\/(-2) + (-12)\/24. Let o = m + f. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - -2 - (-16 + 1 - -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4381961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.61, -2, 7?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83174 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m - 56. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -3 (c) -1\/8 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2333492, 4666959, 7000426, 9333893, 11667360, 14000827?\n\"Answer: 2333467*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-78)\/36*12\/(-39). Suppose 5\/3*r**5 + 2\/3 - 10\/3*r**3 + a*r**4 + 5\/3*r - 4\/3*r**2 = 0. What is r?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 57, 54, 51, 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127659*f - 119949*f + 195168*f + 85107*f.\nAnswer: 287985*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 38539, 1, -29, 0, 4, 2, 5 in decreasing order.\nAnswer: 38539, 5, 4, 2, 1, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -798. What is the thousands digit of ((-21)\/(-2) + -2)\/((-6)\/u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, b: 8}. What is prob of picking 1 i and 1 b?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - s + 25, 3*s + 6 = 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/424 and 87\/51728?\nAnswer: 51728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 7. Let a be h(-12). Let k be a\/2 + 3 - 4. Is k at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**2 - 1849 - m - m + 1856. Let z(d) = 4*d**2 - d + 4. Let b(f) = -3*k(f) + 5*z(f). Let l(s) = 5*s**2 - 4*s + 4. Give 20*b(g) + 5*l(g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -3 + 1\/6*37. Let l be (2\/(-60))\/((-8)\/1030). Let g = j - l. Find the common denominator of 103\/12 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 9*m + 14 = -p, 5*p - 4*m - 35 = 0. Is 127\/(67\/p - 6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g - 36. Let r be j(3). Let i(v) = 5*v**2 + 22*v + 79. List the prime factors of i(r).\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5 + 10*l**4 - 3*l**3 - 32*l**2 - 20*l.\nAnswer: l*(l - 2)*(l + 1)**2*(l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38a8 - 3?\nAnswer: 38a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -81512 divided by -20378\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 - 2*x + 7. Let y(r) = -1. Let l(b) = d(b) + 5*y(b). Let c(o) = -o**3 + o**2 - o. Determine 2*c(t) - l(t).\nAnswer: -2*t**3 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - h - 1. Suppose 7*x + 0*x - x = 6. Let l(r) = 6*r**3 + 7*r + 5. What is x*l(s) + 5*v(s)?\nAnswer: s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16722)\/2787)\/((-3)\/10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9104505, 18208994, 27313481, 36417966?\n\"Answer: -o**2 + 9104492*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1008, -4076, -9170, -16278, -25388, -36488?\nAnswer: -49566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6224 = 5*i, -9*i + 7*i + 10348 = 5*a. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*2\/24 + (-19)\/(-6). Suppose v - 16 = -3*v. Solve 2 + v = x*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8193679 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 1)*(-4 - 26 - 2)*(-9*t + 595 - 595) in the form w + b*t and give b.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 372890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*l - 355*l - 169*l + 6891 + 37811 for l.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than 2012.63?\nAnswer: 2023.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39244657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000090523 rounded to 7 dps?\nAnswer: 0.0000905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 145, 131, 117?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28044?\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 11*n**2 - 9*n - 3. Let k be v(10). What is the greatest common factor of 63 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (0 - -33) + 23 + -27.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259926*1.\nAnswer: -259926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1025, 2369, 3725, 5099, 6497, 7925?\nAnswer: 9389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/6)\/((-1)\/(-2)*-30).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**3 - 87*k**2 - 451*k wrt k?\nAnswer: 12*k - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 11*a + 19. Let g be 6*((-14)\/4 - -2). Let u be k(g). Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15082.1 + -27884.\nAnswer: -42966.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35673 + -7848041\/220. Let y = 9\/55 + g. What is w in -1\/2*w + y*w**5 + 0 - 1\/4*w**4 + 5\/4*w**2 - 3\/4*w**3 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266561 is divided by 647?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - 6*(sqrt(102) - -1*sqrt(102)))*2)\/(sqrt(648)\/(sqrt(12) - sqrt(48))).\nAnswer: 22*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 367 - 16. Suppose 0 = -6*h + n + 1239. Suppose l + 4*l = h. Calculate the remainder when l is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -728108\nAnswer: 1\/364054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*q**2 + 626*q**2 + 59*q**2 - 229*q**2.\nAnswer: 392*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*j + 16 = 0, 0*a + 5*a - 33 = -4*j. Suppose -20 = -a*c + 3*y + 62, 2*c - 35 = -y. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/27, 0.05, 0.2, 2, 3\/8 in descending order.\nAnswer: 2, 3\/8, 0.2, 2\/27, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 905406311 to the power of 1\/3, to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 5975667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 270 = p, 6*p = 2*o + p + 549. Let t = o + 439. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 75969204*s - 5049904961844414.\nAnswer: -2*(s + 132946107)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (355 - 353) + 0 + 1 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -556.016758 rounded to the nearest integer?\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 13*y. Let i(v) = 2 - 6*v + v**3 - 6*v**2 - 11 + 1. Let r be i(7). Give f(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3)*3)**2*-3 + sqrt(26)\/(sqrt(12)\/sqrt(6))*-4.\nAnswer: -351 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1992*q**4 + 16*q**2 - 192441*q?\nAnswer: -23904*q**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -45*p. Let b(j) = j**2. Calculate b(z(s)).\nAnswer: 2025*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 + 20*z**3 + 15*z**2 - 50*z - 40.\nAnswer: -5*(z - 4)*(z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.071539 - -0.05.\nAnswer: -9.021539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669834?\nAnswer: 2, 3, 11, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 578 = -28*r. Let u = 79 + r. Calculate the remainder when 178 is divided by u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2) + -2)**2 + -4.\nAnswer: -12*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -2612 + 812. What is the remainder when 109 is divided by ((-8)\/(-6))\/(60\/m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2380\/(-102) - -22) + 36\/(-39)*(-72)\/48?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 24 = 3*t + 3, -3*t + 3*i = -21. Suppose t = 3*q + 1. Solve 0 = -3*a + q*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 14) in base 7?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**2 + 2*w + 4. Calculate the lowest common multiple of k(-2) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -242 + 290. Let m be 2*(0 - 1) - -75. Let c = v + m. What is the greatest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.9 (b) 15.88 (c) 0.1 (d) -0.7 (e) 0.06 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2. Let q(p) = 14*p + 3. Determine -3*a(g) - q(g).\nAnswer: -14*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 16*m - 85. What is r(-16)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17328)\/7581)\/(1\/(28\/8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 26177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 713814185 to the nearest integer?\nAnswer: 26717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -37300000 rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2 or 357774?\nAnswer: 357774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 22*j - 1. Determine z(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896*v**2 - 448*v**2 - 579 - 2*v**3 - 448*v**2 + 579.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 7*p + 6. Let a be q(6). Let l(i) = i**3 + i**2 + 97. Let o be l(a). Suppose 3*m - o = 2*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -66, -86, -134, -222, -362, -566, -846?\n\"Answer: -2*a**3 - 2*a**2 - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*s - 2 + 7 = 0, -2*s - 12 = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**3\/3 - 5*t**2\/2 - 454*t. Let f(q) = -11*q. Give f(n(u)).\nAnswer: -22*u + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1132*b + 8142. Give f(7).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*v - 2*f, v + 0 = 3*f - 11. Let a be 4\/(-8)*v*0. Solve a*c - 1 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4045431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, i: 3, c: 3}. Give prob of sequence fici.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, c: 1}. Give prob of sequence cp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2413283 and 15703?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141*m**5 + 308*m wrt m?\nAnswer: 2820*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5*q - 133 = -154, 5*q = -2*b + 3 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1712 - -11?\nAnswer: -1701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -425*q**3*z + q**3 + 91905*q**2 + 2*q*z + 17307269*z wrt q.\nAnswer: -2550*q*z + 6*q + 183810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) - (7\/4 + -2). Let m = 0 + 0.4. Let x be (-3)\/(-1)*2\/9. What is the nearest to g in x, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**12*b)**(3\/2)*b\/b**(2\/79)*b**(-32)\/b assuming b is positive.\nAnswer: b**(-1979\/158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**5\/5 + 88*v**4\/5 + 1196*v**3\/5 + 5016*v**2\/5 + 6498*v\/5 = 0.\nAnswer: -19, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 9 + 12*w + 4 as d + n*w and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 377878049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*a + 3*a = 15, -3*q + 21 = 3*a. Solve 0 = -8*c + q*c + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 4, 2, -5, -605, -1 in ascending order.\nAnswer: -605, -5, -4, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 44 = -c. Find the second derivative of -2*l - l + c*l**2 - l - 4*l wrt l.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64388, -64469, -64606, -64799, -65048, -65353?\nAnswer: -65714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*s + 7*s - 80. Let n be 5*((-8)\/s - 0). Solve 3*m + 10 = 8*m - 5*k, 4*k = -n*m - 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 29bd?\nAnswer: -29b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31211928?\nAnswer: 2, 3, 11, 39409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**25*w*w\/(w**(-2\/37)\/w))\/(w\/(w**12*w))**(-4))**(-2) assuming w is positive.\nAnswer: w**(1476\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 3\/2, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 0, 5, -5, -90824, -4 in ascending order.\nAnswer: -90824, -17, -5, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i + 0*i + 3*i**2 - 3*i to the form j*i + w*i**2 + k and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, g: 1}. Give prob of sequence mmm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 157 = -497. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((3*sqrt(120))\/sqrt(2))\/(6*(sqrt(45) + sqrt(5)) + sqrt(5)))\/(((sqrt(24) + sqrt(24) + sqrt(144)\/sqrt(6))*-2)\/(1*sqrt(4)*1)))**2.\nAnswer: 1\/1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - 1. Round m to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*1*6 + (sqrt(405) + -1 + -1 - sqrt(405))**2 + sqrt(960)\/(sqrt(12)\/sqrt(4)*6) + 1.\nAnswer: 5 + 166*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of z**4 + 1660466*z**3 + 7708810?\nAnswer: 4*z**3 + 4981398*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 933844 and 179.98.\nAnswer: 934023.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 500 and 200?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -2)**2*2 + -1 + (sqrt(272) + (sqrt(272) - sqrt(272)*2))**2.\nAnswer: -32*sqrt(17) + 551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-119 - 2\/2)*(-6)\/(-3). Let x be -1 + (-17)\/(-4) - g\/(-192). Factor 2\/7*v**4 + 8\/7 + 26\/7*v**x - 12\/7*v**3 - 24\/7*v.\nAnswer: 2*(v - 2)**2*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 891 and 40986.\nAnswer: 40986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -13\/2529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-22)))\/y**(8\/3))\/(y*y\/(y\/y**13)*y*y*y**(2\/13)) assuming y is positive.\nAnswer: y**(-1592\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3 + 2. Let s be (15 - 11) + d + -1. Let z = -5 - -5. Which is the second biggest value? (a) s (b) -1\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4 = -5*t. Suppose -8 = -4*c, p - 7 = t*c - c. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.1 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, -5.4, 2\/11001, -1\/13 in descending order.\nAnswer: 2\/11001, -1\/13, -0.2, -3, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 10. Suppose u = 2*q - 4. Let c(p) = -2*p**2 - 4*p**2 - q + 7*p**2 - p. Calculate c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*f - 7*f + 2 = 0, 0 = 3*p - 2*f + 13. Let b(g) be the third derivative of g**4\/6 + 2*g**3\/3 + g**2. What is b(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2411547, 2411559, 2411571, 2411583, 2411595, 2411607?\n\"Answer: 12*o + 2411535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5989, -5.12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1805 + -284. Calculate the greatest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n - 9*n + 2*l - 14, n - 3*l = 7. Suppose -2*f - 3*p = -n*p - 957, 0 = f + 5*p - 484. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at most 251459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 5.1. Let p = 1633 + -1707.9. Let z = p + 75. Sort q, z, -10.\nAnswer: -10, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**10\/30240 + d**9\/5040 + d**8\/3360 - d**4 - 7*d**2. Let t(y) be the second derivative of m(y). Find f such that t(f) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 31 = -0*w. Suppose -3*i = -56 - w. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*y - 167*y**3 + 605*y - 80*y**3 - 61*y**3 - 1201*y.\nAnswer: -308*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/7 (b) 1\/2 (c) -22 (d) 5\/3 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*j - 280*j - 98*j - 13*j**2.\nAnswer: -13*j**2 - 449*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hodzogz. What is prob of sequence oh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k + 10. Is x(7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a day in seconds?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + b - 2*b)*((-3 + b + 3)*(-1 + 2 + 0) + (-3 + 4 - 8)*(0*b - 3*b + 2*b)).\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1303817913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/2*3 - 9. Let t be (20\/(-6) - -3)*z. Solve -5*v = -3*v - t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010011010 + -1001?\nAnswer: 100010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h*n**2 + 4*h - 123*n**2 + 6*n wrt n?\nAnswer: 8*h - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8*d*d**(2\/7))**(-44\/5)*(d*d**(1\/3))**(-16\/9)\/(d**(-2\/9)*d**(1\/6)) assuming d is positive.\nAnswer: d**(-31763\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*5.73658.\nAnswer: 5.162922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from llldllllldllel.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -3925.\nAnswer: 2\/3925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39330 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 divided by -4?\nAnswer: -545\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.294 - -0.204. Let y = -4.09 - f. Sort -5, 2\/7, y, 0.\nAnswer: -5, 0, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 25. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79420*q + 79001*q - 7542 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68341 + 68341.1. Let h be 2*1 + (-6)\/(-3). Which is the nearest to u? (a) 19 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*m, -4*m - 21 = -o + 6. Suppose -4*a - f = 2*f - 53, -3*a = -5*f - o. Suppose -3*q = -0*h - 2*h + 2, q + 3*h = a. Solve -7 = q*w + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/175*9\/(9\/10). What is the second smallest value in -0.5, f, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -0.02. Let v = 0.07 - y. What is the closest to v in -2, -6\/7, 3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -55406 and 0.5.\nAnswer: -55405.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-22))\/(1\/(-2))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.02 (b) 1\/5 (c) -0.08 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by -739.\nAnswer: 130\/739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 41.7\nAnswer: 43.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 514912 * 0.4.\nAnswer: 205964.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b + 101 - 6*b - 102. Determine n(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/15)\/(2\/294). Let t = n + 150. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 4:36 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3417 (base 8) to base 12.\nAnswer: -1067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24293 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 280566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 266.4\nAnswer: -26.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 591*g + 22. Is l(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*c = -4*m + 2, 2*m - 3*c = 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1247287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 0. Suppose -26 = -k*o - r + 5*r, 0 = o - r - 7. Let a(c) = -c**2 + 4*c. Let j be a(4). Solve -2*d - 5*y = -17, o*d + 2*d + y - 7 = j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4 - 65\/(-15)). Suppose -4*b = i - 14. Solve b*m = -4*n + 13 - 3, 5*m = -4*n + 25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, o: 4, q: 1, a: 1, m: 2}. What is prob of sequence ooq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**4\/4 + 56*d**3\/3 - 9*d**2 - 7*d - 428. What is the second derivative of q(n) wrt n?\nAnswer: 6*n + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 1. Let f(p) = 5 + 3*p**2 + 7*p - p**2 - 14*p. Determine -f(x) + 6*o(x).\nAnswer: -2*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 1 + (25 - 21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28157, -56650, -85141, -113630, -142117, -170602?\nAnswer: -199085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 510782195.6 - 562701136. Let c = 51918572.399771 + o. Let m = 368 + c. What is m rounded to five dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5005298541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 4 (c) 0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*o + 10201 - 10206 - 16*o**2 - 2*o**2.\nAnswer: -18*o**2 + 62*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/50 and 107\/2710.\nAnswer: 13550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -5*x. Suppose -v + 3 = u, 7*u - 2*u - 9 = -x*v. What is the remainder when 26 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 5*f**2 - 2*f - 4. Let y be b(-3). Suppose c + y = 6*c. Suppose -3*k + 1 = -i - 3, 0 = -4*k - c*i + 16. Sort -1, 4, k.\nAnswer: -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7219000 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 2:50 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23207776 is divided by 823?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -9*y - 5*l + 6, 4*l = -12. What is the least common multiple of y and (-18)\/(-4) - (-2)\/4?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1816 (base 13) to base 4\nAnswer: -313300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 d, and 2 c when four letters picked without replacement from {c: 5, d: 5, h: 8}?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Suppose -3*t - 4*c = -0 + 3, 0 = t - 5*c - 18. Let i = -5\/2 + t. What is the nearest to i in -4, 1\/5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j + 6 - 6)*(2*j**2 - 2*j**2 + j**2) - 59*j**3 + 80*j**3 + 23*j**3 as i*j**2 + k*j**3 + a + t*j and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 116 = -125896*v + 125891*v, -c = 2*v - 16 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*u**2 + 15*u**2 + 2*u + u.\nAnswer: 74*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66707?\nAnswer: 41, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2303980 and 9\/112?\nAnswer: 9215920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1*(-252)\/9450\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from ueielibieueteii.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-5 - -7 - ((5 - 12) + 3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99 - -56. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.362348 rounded to zero dps?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 16. Suppose -k = i*k. Let g(c) = -5*c**3 - c**2 + c - 4. Let m(h) = -6*h**3 - h**2 + h - 4. Let x(q) = 5*g(q) - 4*m(q). Determine x(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 - 18*l - 3. Let s be n(-6). Let a be -3 - -6 - s\/(-1). Suppose 3*i - 2*i - 8 = a. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1, 0.2, 71\/2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 w when four letters picked without replacement from wkww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -415 and -18204.\nAnswer: -18619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, w: 2, i: 1, n: 1, x: 2}. What is prob of sequence wxw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 321 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91876?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2174 is divided by 716?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -805ca (base 16) in base 15?\nAnswer: -a5bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -53, 2\/23, -4, -12?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*20360.\nAnswer: 20360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-153*(-1 - -2))\/(2901\/264 - 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5.3, 2, -51\/14?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41.9 + -42. Let m = 1.6 - x. Let u = -1.6999955 + m. Round u to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 2.7\nAnswer: -0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7549281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -11*q + 7. Let c be k(-4). Is c > 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**6*l*l*l**(-1\/2)\/l*l*(l*l**1*l)\/l**(-1) assuming l is positive.\nAnswer: l**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -502*c**4 - 155311*c**3 + 91084*c**2 - 386*c?\nAnswer: -12048*c - 931866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/169, -796, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**3\/15 - 1954*u**2\/5 + 161822*u - 2421466\/15 = 0?\nAnswer: -3299, 1, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 7:18 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 28964, 31 in ascending order.\nAnswer: 1, 31, 28964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {x: 2, i: 1, e: 14}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288110395*3.\nAnswer: 864331185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/24 and (30\/4)\/((-21)\/(-23)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 272 - 250. Let j(h) = h**2 + 9*h + 13. Let i be j(-7). Let k be ((-33)\/i)\/((-18)\/(-48)). Calculate the greatest common divisor of v and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -190*o**5 + 11605*o**4 - 116625*o**3 - 421975*o**2 - 269585*o + 23970 = 0.\nAnswer: -2, -1, 3\/38, 17, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -15*r + 64 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let y(v) = v**2 + 98*v + 58*v + 262 - 154*v. Determine o(y(a)).\nAnswer: -a**2 - 2*a - 262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 323, 322, 321, 320, 319?\n\"Answer: -b + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-12)*210\/(-980).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 22905.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*t**3 + t**2 + 28*t + 103435 with respect to t.\nAnswer: -222*t**2 + 2*t + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + 4455?\nAnswer: 4521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6905*u**2 + 127*u - 26. Let n(v) = -1726*v**2 + 35*v - 7. What is 3*k(x) - 11*n(x)?\nAnswer: -1729*x**2 - 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**6\/24 - 7*m**5\/20 + 10*m**2 + 19*m. Let h(n) be the first derivative of g(n). What is the third derivative of h(l) wrt l?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q*t**3 + 1004*q*t*x + 1259*q*t + 3*q - 94310*t**3*x + t**3 - 20*t - 79 wrt x?\nAnswer: 1004*q*t - 94310*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = -2*w + 4*y - 968, -w - 502 = -4*y. Let k = w - -607. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(1*sqrt(162)))\/(sqrt(14)\/(sqrt(1008)*-4 + sqrt(1008))).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7590 and 69895298?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3366 is divided by 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 35, -0.3, 1, -2\/3641, -4 in decreasing order.\nAnswer: 35, 1, 1\/6, -2\/3641, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/15, 5, 3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence illi when four letters picked without replacement from {l: 11, i: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 11:48 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a847 (base 11) in base 10?\nAnswer: 87534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 659562469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 16489554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*f**3 - 2*f - 4 - 1 + 3 as w*f + q*f**2 + l*f**3 + p and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (168\/48)\/(2\/1004). What is the derivative of 63*v**2 - q + 47*v**2 + 18*v**2 + 1985 wrt v?\nAnswer: 256*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4*x\/((x*x**0*x)\/x)*x*x)**(-13))**(-21) assuming x is positive.\nAnswer: x**1638","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdih when four letters picked without replacement from {x: 1, h: 1, s: 1, d: 1, i: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*h + 3*m = -186*h - 12, -8 = h - 4*m. Solve 3*k + 4 = -5*s, 4*k + 4*s - h + 16 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 295.\nAnswer: 4\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 801, 836, 923, 1080, 1325, 1676, 2151, 2768?\nAnswer: 3545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1230 - -12123023220?\nAnswer: 12123031110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, 8, -0.5, 0.5 in decreasing order.\nAnswer: 8, 0.5, -0.3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5720, -11437, -17152, -22865, -28576, -34285, -39992?\nAnswer: -45697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 15*y + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -155, -260, -365, -470, -575, -680?\n\"Answer: -105*p - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48205 bigger than 41013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + sqrt(3)*-2 - sqrt(3)) + -2).\nAnswer: -12*sqrt(3) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 41*x**2. Let j(k) = -k**3 - 21*k**2. What is -2*a(f) - 5*j(f)?\nAnswer: f**3 + 23*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -3\/82, -1, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 69*j**2 - 149*j - 870. List the prime factors of h(-6).\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2336692870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (-1 - 0) - 3\/1. Find the second derivative of 9*k**2 - 14*k**a + k**2 - 27*k - 18*k**2 wrt k.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2461*o**2 + 2107.\nAnswer: -4922*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1948 - 5212 = 136*b for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) 169 (b) 0.1 (c) -0.4 (d) 2\/9 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -22*r + 17*r. Let h = -2 + 2. Let t(l) = 2 - 7*l + h*l + r*l. Let p(c) = 5*c - 2. Determine -5*p(w) - 6*t(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 360.788 - 359. Let s = i - -0.212. Let m = 0.45 - 0.05. Sort s, m, 5.\nAnswer: m, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000013721 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 24 = -5*d, 0 = -d - 3*m - 2 + 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/5)*y*y**(-1\/4))\/(y*(y**(-4\/5)\/y)\/y*y*((y*y**(-7\/6))\/y)\/y) assuming y is positive.\nAnswer: y**(307\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 66 = -3*v + 6*v + v, 8*a = 5*v - 89 - 46 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6217*v - 6272*v + 2839485 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**22)**10*u\/(((u\/(u\/(u**(-1\/8)\/u)))\/u)\/u)*u*(u**(-1\/7)\/u)\/u*u)**(-6\/37) assuming u is positive.\nAnswer: u**(-1017\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -8)*-2 + -1. Let q(a) = a + 1 + 11 - a + 13*a**2 - a**3. What is the units digit of q(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxffxdxfgxyxggxxgffx. What is prob of picking 1 x, 2 f, and 1 y?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16, 40, 74, 118, 172, 236, 310?\n\"Answer: 5*o**2 + 9*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 23*t = -22*t - 192 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*j + j - 5*t, 0 = 4*j - 3*t + 5. Suppose -f + 3*r + 0*r - j = 0, 5 = 5*r. Differentiate -2*g**f - 3 + 3 - 3 wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4832231, 4832232, 4832233, 4832234?\nAnswer: 4832235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33332001 + -2001?\nAnswer: 33330000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 40934872 and 0.2.\nAnswer: 40934872.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34626041 - 2?\nAnswer: 34626036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -723098 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7518 + 7767. Calculate the remainder when l is divided by 49.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 5. Let a be m(0). Let p = a - 0. Let y be p\/(-4) + -10 + 8. Is y not equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7169828 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*s = 113*s + 4*t - 15946, 0 = s - 3*t - 8003. What are the prime factors of s?\nAnswer: 5, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.816 + 0.184. What is the third biggest value in 5, v, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6259)\/(-1138)*(-4)\/30*-35.\nAnswer: 77\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7695.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 8*p**2 - 18*p - 6. Let u be g(8). Let j be (12\/u*-10)\/(2\/20). What is the highest common factor of 10 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 - (4 - 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - n**2 + n**2 - 86483*n**3 - 66 + 6*n + 86481*n**3.\nAnswer: -2*n**3 - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18781481*l**3 - 9560979*l**2 wrt l.\nAnswer: -112688886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/((-33)\/330)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 38, 63, 88, 113, 138?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 924*f**3 + f**2 - 4*f - 3552. Let a(g) = 462*g**3 + g**2 - 2*g - 1770. Let w(b) = -5*a(b) + 2*r(b). What is the first derivative of w(h) wrt h?\nAnswer: -1386*h**2 - 6*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330406 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -355\/6. Let q(p) be the first derivative of 2 - 1\/4*p**2 + 0*p + m*p**3. Factor q(i).\nAnswer: i*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*l + 624 = 0, -j = -4*l + 5*l - 155. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610706 to the power of 1\/2, to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*q - 1 = 0, 2 + 2 = 4*q. Let x(h) = -24*h**3 + 2*h - 2. Let f be x(1). Let z = l - f. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 1. Let i(c) = -48*c**3 - 2. Calculate i(p) - 2*o(p).\nAnswer: -46*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/4, 2\/5, -2, 4 in descending order.\nAnswer: 4, 2\/5, -7\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 68 = -288*u + 289*u, u - s + 44 = 0 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 402*i**3 + 431*i. Let u(r) = -r. Calculate y(u(q)).\nAnswer: -2412*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 796 + -762. Solve 3*z + c = -5*v, -3*v + 2*z - 14 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 25, 6*g + y + 512 - 547 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/39360 and -119\/41410.\nAnswer: 3975360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36534 by -6.\nAnswer: 6089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (1 + -2*3). Suppose -2*t = -4*g - d, -4*t + 2*g + 1 = -35. Let b = 66 - t. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6764? (a) 0.201 (b) -2\/5 (c) 1 (d) 5 (e) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 30 = 3*d, -b - 1 + 6 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (10 + -6 - (-1 - -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-1)\/2 - -3. Suppose 0 = 5*z - 2*h - 96, -l*z + z - 4*h = -60. Calculate the remainder when ((-99)\/(-15))\/((-2)\/(-10)) is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**4 + q**3 + q. Let i(g) = 7*g**4 + 3*g**3 + 6*g. Let w(s) = -2*i(s) + 6*t(s). What is the second derivative of w(v) wrt v?\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -90, 54, 202, 354?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1904\/56)\/((2\/(-1))\/1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19248, 75924, 170056, 301644, 470688, 677188?\nAnswer: 921144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -151.4 take away -5?\nAnswer: -146.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 7:32 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7533635 and 3485.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -4 - (7 - (-1 + -1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 127917, 128070, 128223, 128376, 128529, 128682?\n\"Answer: 153*g + 127764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1165805018.5 + 0.0054\nAnswer: -1165805018.4946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 523.07 - 481.2. Let t = p - -0.13. Let u = 41.01 - t. Round u to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*12\/18)\/((-4)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -419.0673 + 0.0673. Let i = d - -419.0764. What is i rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.082282mg?\nAnswer: 0.000000082282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(405) - -5*(0 + sqrt(405))) + (sqrt(405) - (sqrt(405) + 5 + sqrt(405) + -1)))*-3)**2.\nAnswer: -3240*sqrt(5) + 91265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from {j: 1, b: 1, w: 1, r: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3*k = 5, -46 = 4*a + k - 37 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 842655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y**2 + 876*y - 2243. Give i(-90).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**5\/4 + 13*w**4\/2 + 34*w**3 - 124*w**2 - 140*w + 392 = 0.\nAnswer: -14, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 60 = -3*p. Suppose 0 = -2*g - 3*o - 2, 4 = -4*g + 4*o - 2*o. Find the common denominator of -17\/22 and -137*g\/p - -1.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5988710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11100000110101 (base 2) to base 8\nAnswer: -34065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 20, 24?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 11 + 5*f + 1 - 10 - 78*f. Let d(m) = -m**2. What is d(y(c))?\nAnswer: -5329*c**2 + 292*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 805, 1814, 3227?\nAnswer: 5044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 61*s. Let r(b) be the second derivative of -b**3\/6 + 44*b. Calculate l(r(c)).\nAnswer: -61*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3*p - 25*j**3 - 16*j**2*p - 423*j**2 - 513*j*p - 2*j - 10*p - 1 wrt j?\nAnswer: -12*j*p - 150*j - 32*p - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3146 + 186 = 14*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 0*h**5 - 10*h + 1 + 0*h**3 + 0*h**4 - 16\/15*h**6 - 24*h**2. What is the first derivative of p(u) wrt u?\nAnswer: -128*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -24. Let d(f) = 6*f + q - 5*f - 4. Let a(v) = -v**2 + 6*v + 2. Calculate -a(z) + 4*d(z).\nAnswer: z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 652 - 631. Calculate the highest common divisor of r and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -17*v + 2*v**3 + 9\/2*v**2 - 1\/4*v**4 + 22. What is c(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1574 - -1560.29. Let i = 11.71 + y. Suppose 0*o = 3*o. Which is the nearest to 0.1? (a) 4 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.944784 rounded to one dp?\nAnswer: 101.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*g + 3*l + 32 = 77*g, -l = -9*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**2 + 8*y - 8. Let j be q(4). Let g be 2\/4*j\/(-7). Let v(a) = -g + 2 - 5 - 3*a + 5. Calculate v(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 58.\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 13*j = -2*g + 31, -4*g - j + 7 = 0. Suppose 17 = f + 5*c - g, 2*f - 28 = 2*c. What is the remainder when 989 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 109 = 4*z. Suppose 10*q + z - 651 = 0. Does 23 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -261?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35572 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 3*x**2\/2 + 1. Let p(h) = 21*h + 33. Let y(l) = -11*l - 18. Let s(f) = -6*p(f) - 11*y(f). Give s(m(w)).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(60\/40)*9\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + (-4)\/1)\/((-5)\/5). Let k(i) = -i**2 - 6*i**2 - 3*i**2 - p*i**2. Let c(s) = 9*s - 6*s - 5*s. Calculate k(c(a)).\nAnswer: -56*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + c - 6, -15 = 2*c + c. Suppose -2*r - g = -3*r. Suppose r = 5*a + 1. Solve -12 = a*l + l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -1372*o - 166027. Give u(-121).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*c - 3*c + 7*c)*(c**2 + 4*c**2 - 4*c**2) + 7*c**3 + 5*c**3 - 7*c**3)*(-6 + 8 + 9 + (2 + 0 + 0)*(-6 + 2 + 3)).\nAnswer: 54*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 5307*c**2 - 607617*c - 1761790527.\nAnswer: -3*(c - 1119)**2*(c + 469)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.04 (c) 144 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-1437 + 1)*(-11)\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i + 0*i + 5*i)*(-4 - 5 + 7 + 6*i) to the form m*i + h + q*i**2 and give q.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3139?\nAnswer: 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 281448 and 7348920?\nAnswer: 66140280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8\/5)*a\/((a**(-5\/7)\/a)\/a))**(-23) assuming a is positive.\nAnswer: a**(-1702\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 3:14 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 344758 and 344514 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -4*c + 1\/3*c**3 + 12 - 7\/2*c**2. Determine f(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 47518 + -3?\nAnswer: 47515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 220 and 101?\nAnswer: 22220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1930397.\nAnswer: 7, 97, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 147 divided by -3\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/39 - 2*(-53)\/6. Let c = x - 18. Solve -p + c*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1274 + 1278. Solve m*b = 2 - 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 17709 - 17377. What is the remainder when v is divided by 117?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 639137140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 119564220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 + 5*p**2 + 6*p. Let h(i) = 2*i**3 - 4*i**2 - 5*i. Let o(f) = -f**2 + 39*f + 227. Let d be o(-5). Give d*h(j) + 6*w(j).\nAnswer: 2*j**3 + 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 10*t**2 + 3*t - 11. What is a(10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-1)\/5 + (-64)\/(-20). Which is bigger: q or -1\/123?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*h = 133*h + 20. Let a be 2\/(-6) + (-88)\/(-12). Solve -2*x + h = -a*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/67 or 0.049?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4627292763225 - 4627292118139.1820011. Let p = -645057.818 + t. Let j = -28 + p. What is j rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 105359, 210719, 316079, 421439, 526799, 632159?\n\"Answer: 105360*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44, 233, 552, 1007, 1604, 2349, 3248?\n\"Answer: i**3 + 59*i**2 + 5*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*q - 107*q = 76*q + 155 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 3*l - 10*l to u + o*l and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 6.37 (b) -0.1 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/10441 and 7\/1970?\nAnswer: 104410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-7)\/2 - (-2)\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/9 + 2\/9. Let q(x) be the third derivative of -x**2 - 1\/12*x**4 + 0 + k*x - 1\/3*x**3. What is the derivative of q(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 4*s**2 + s + 1. Let r be z(4). Suppose a = -3*a + 128. Let t be a\/20 + (2\/(-5))\/(-1). Put -3, r, t, -2 in increasing order.\nAnswer: -3, -2, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1156 (base 7) to base 9\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (3 - 2) + (-23 - (21 - 11)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t - 4*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 15. Calculate the lowest common multiple of w and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 193*k + 198*k + 415 = 0, -4*s + k + 542 = 0. What is the greatest common divisor of 19440 and s?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(-1\/70))**(1\/33)\/(a**(-5\/6)*a*a**(-1\/10)\/a)**27 assuming a is positive.\nAnswer: a**(58211\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 10*n + 52 = 0. Suppose 13 = 2*t + n. Suppose -5*g + 5*d + 70 = t, -2*g + 0*g - d = -34. Calculate the remainder when 59 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -6*c - c. Suppose -h - 3*j = -3, c = h + 4*j - 8*j - 10. Let p be ((-10)\/h - 26\/(-39)) + 1. Solve p*q = 3*u + 2*q - 8, 4*q - 16 = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11244, 45039, 101286, 179919, 280872, 404079, 549474?\nAnswer: 716991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 3420?\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -2, -319, -369, -3, 4 in ascending order.\nAnswer: -369, -319, -4, -3, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 3*t**2 + 4*t + 3. Let p be f(4). Suppose 5 = 43*i - 42*i. Let l(x) = -1 + p*x - i - 5*x + 4. Give l(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 53394660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15866207 is divided by 10023.\nAnswer: 9821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -9 + 25 + 19 + 3 + 1 + 7?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 + 3*a + 4. Let q(f) be the second derivative of 1\/3*f**3 - 215*f + 3\/2*f**2 + 0 + 1\/4*f**4. Determine -3*q(j) + 2*u(j).\nAnswer: -3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 65422*r - 785208.\nAnswer: (r - 12)*(r + 65434)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x - 2*x = 227*x + 4784 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -47 + 47 + 2*y - y. Let p(z) = 4*z + 2. Give p(n(j)).\nAnswer: 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100623 = 35*p - 32*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**6\/120 - r**5\/15 - r**4\/8 - r**3 - 409*r**2. Give b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 25 - 85. Let t(v) = 10*v - 12. Let a(s) = s - 5 + 0*s + 3*s. Let i(x) = -x**2 + x + 5. Let r be i(0). Determine r*t(d) + y*a(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 42, 5, 107, 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -55*d - 630. Let t(p) = 7*p + 79. Let u(f) = -3*r(f) - 25*t(f). Let a be u(-9). Solve -22 + 7 = -a*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 + 2*t + 2. Suppose 0 = -u - 2*j - 5, 5*u = 6*u + 4*j + 5. Let f(v) = 9*v**2 + 5*v + 5. Calculate u*h(i) + 2*f(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1560\/48)\/((-7)\/(-28)*10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -295 (base 12) to base 15.\nAnswer: -1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 966990 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/14)\/((-6)\/(-2))*(-224)\/252.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-9))\/((-2)\/((-60)\/(-18))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10)**49 assuming m is positive.\nAnswer: m**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*x - 70, 5*w - 5 = -15. Let o be 3\/(-7)*(442\/x - 12). Factor -o + 0*c + 6\/7*c**2 - 4\/7*c**3.\nAnswer: -2*(c - 1)**2*(2*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 258\/(-344)*16\/30.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b - b**3 + 44*b**2 + 7 - 25*b**4 - 44*b**2 wrt b.\nAnswer: -300*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 33 = -45. Let x(g) = -g**3 - 6*g**2 - g - 2. Give x(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, 1, 7, 15?\n\"Answer: k**2 + k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -430148 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.3 (b) -155 (c) -29.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -13*p**2. Let u(g) = 18*g + 8. Let d(z) = -20*z - 8. Let q(v) = 10*d(v) + 11*u(v). What is q(f(y))?\nAnswer: 26*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 14 = 4*h, 3*n + 3 = -3*h - 3. Let v = 5 - -2. Suppose 2*y - 29 = -v. What is the greatest common divisor of y and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 4*b + b)*(-2 + 2 + 2*b) - 1787*b**2 - 1659*b**2 + 2920*b**2.\nAnswer: -534*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 - 1471)*(8 + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 233 - 206. Suppose -w*n + 2016 = -19*n. Is 36 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1 - (21 + -17)) + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -1\/7, 395\/6, 0.7 in increasing order.\nAnswer: -1\/7, 1\/4, 0.7, 395\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2. Let a(q) be the third derivative of -q**5\/20 + q**2. Give a(f(j)).\nAnswer: -48*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v - 2*t = 7, 4*v + 2*t = -16. Let o = v - -8. What is the second derivative of 3*n**2 + o*n - 5*n**2 - 3*n wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -y + 6 - 0, 4*y = -3*q + 16. What is the greatest common divisor of 20 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 25*u**2. Let n(h) = 901*h**2 + 896*h**2 - 2673*h**2 + 885*h**2. Give n(g(r)).\nAnswer: 5625*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1357363*i**3 + 7*i**2 - 17*i - 708899662 wrt i?\nAnswer: -4072089*i**2 + 14*i - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164 + -167. Let u(g) = -8*g - 4. Let w be u(-1). Sort f, -21, w, 3 in decreasing order.\nAnswer: w, 3, f, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-72))\/((-2)\/(-3))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6438 divided by 6?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i + i)*(2 + 0 - 4) + 3*i + i + 4*i + (-1 + 1 - 1)*(2*i + 0*i + 0*i) - 2*i - 2*i + 5*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -617*u + 472*u**3 + 163809*u**2 - 163809*u**2 wrt u?\nAnswer: 2832*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20948 + -20940. Let p = 6 + 0. Let a(n) = n**2 - 6*n - 1. Let q be a(p). What is the nearest to q in t, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -59. Let o be (-49)\/(-4) + p\/(-28) + -4. What is the greatest common divisor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17837 is divided by 8729?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2780881, 5561755, 8342627, 11123497, 13904365?\n\"Answer: -z**2 + 2780877*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535272638?\nAnswer: 2, 113, 2368463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/110 and 39\/3487.\nAnswer: 34870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 13, d: 3, m: 2}. Give prob of picking 2 m and 2 d.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 (base 10) in base 2?\nAnswer: -10101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i**3 - 31*i**3 + 62*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3636190856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12294 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2. Let c(n) = 75*n + 6. Let i(g) = -1426*g - 115. Let a(f) = -115*c(f) - 6*i(f). What is k(a(w))?\nAnswer: -4761*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 279 - 155. Let m = o + -128. Suppose 4*t + t = 5*w, -w = -2*t + 1. What is the fourth biggest value in w, -2\/13, m, 0.11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167947146?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/63 of a week?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*t + 39, -4*t + 52 = 4*a + 8. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*c + 5*u - u, -c + 35 = -5*u. Solve -10*o + 7*o - c*p - 15 = 0, 2*o + p = -10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3066\/(-73)*(-2)\/(-2). Let a be 24\/(-42) + (-192)\/z. Solve 5*t = -4*y + a*t + 9, -4*y = -5*t - 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*p**2 - 27*p**2 + 17*p**2)*(164 - 14 + 51) to the form x*p + i + c*p**2 and give c.\nAnswer: -5427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let w(i) = -11*i - 26. Let u(n) = 2*b(n) + w(n). Let s(z) = 168*z + 623. Let t(a) = 2*s(a) + 49*u(a). Is t(-9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**5\/20 + c**4\/6 + c**3\/2 - 716*c**2. Let i(x) = 4*x**2 - 5*x - 4. Calculate 2*i(d) + 3*k(d).\nAnswer: -d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -612 + 401. Let y = 335 + i. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/5)\/((-7830)\/(-7825) + -1). List the prime factors of p\/(-3)*(-5)\/((-35)\/14).\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from eezeez.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*n + 17*n + 4443. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m\/(m\/m**(1\/5)*m*m))\/m)*m\/m**(-6)*(m\/(m\/(m\/(m**(-2)\/m))))**44)**(4\/35) assuming m is positive.\nAnswer: m**(3716\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + -474?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 4, -1\/5, -2\/179 in ascending order.\nAnswer: -1\/5, -2\/179, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 7*h**2 + 1. Let z be i(-7). Which is bigger: z or 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 192 + 56. Suppose v - 67 = -4*v + 4*d, 4*v + d - y = 0. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + 25 + -62 + 18 + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 - 2486*n**2\/9 - 2*n\/9 + 2486\/9.\nAnswer: 2*(n - 1243)*(n - 1)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5532*a + 260 = -5477*a - 125 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - ((-24)\/15 + 1))*5. Suppose -t*y + 9 = 4*c, -y - 2*c + 12 = 3*y. Let m(x) = x**2 - 2*x - 1. Let z be m(3). Solve -y*k - 5 = z*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + i - 2*i)*(-6215*i + 4297*i + 4840*i).\nAnswer: 2922*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6408 - 5307 = 0. List the prime factors of c.\nAnswer: 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1278 greater than -111232\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 136, 300, 502, 754, 1068?\n\"Answer: 2*i**3 + 7*i**2 + 129*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/19 - 14*q - 816\/19.\nAnswer: 2*(q - 136)*(q + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = h, 5*h - 83 = -4*a - 86 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 - 55453158*c**2\/5 + 22181262*c - 55453154\/5.\nAnswer: 2*(c - 27726577)*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from ffllfxfxffjlloflff?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/j**(4\/5))\/j*j)**(-8\/3)\/(j**(-9)*j\/(j**17\/j)))**(2\/145) assuming j is positive.\nAnswer: j**(208\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*d + x - 0, -2*d - 4 = -2*x. Sort d, 1, 5 in ascending order.\nAnswer: 1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 12:48 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 0\/1)*-6. What are the prime factors of -2*(t - (3 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 3\/2*j**2 + 5\/4*j**4 - 3 + 0*j**3 + 0*j. Find the second derivative of n(a) wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**3 + b**2 + 5*b - 2. Give j(3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 332 - 285. Let s = z - 43. Sort -2\/3, -1\/2, s in ascending order.\nAnswer: -2\/3, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 - 2 = 0. Suppose 0 = 5*j + 98 + c. What is the units digit of (3 - 1)\/((-2)\/j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3942 - 3942. Put h, 74, -5, -1 in descending order.\nAnswer: 74, h, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 * -0.07384.\nAnswer: -4.7996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*a - 30 = 7068. What is the highest common divisor of 192 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 0*b. Let q = b + -60. Let p be q\/5*6\/(-8). Calculate the highest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 10*s**2 - 18*s + 5. Suppose 30 = 2*c - 46. Suppose 6*w + 10 + c = 0. Calculate the remainder when x(w) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/(-5) + (-12)\/(-15). Let o be ((-6)\/9)\/(q\/(-18)). Solve o*j + 2*f - 9 = 5*j, 2*j + 19 = -3*f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/115322 and 29\/46.\nAnswer: 115322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/4*(-104)\/(-91). Let w be 30\/9 + g\/6. Find the common denominator of 55\/w*(-2)\/(-25) and 9\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -11 - (0 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -432*k**2 + 214*k**2 + 211*k**2. Let j(l) = -10*l**2. Calculate p(j(c)).\nAnswer: -700*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10665?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -2\/5, 2\/25, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 419036 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -10) + -97 + 80?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 + (-47)\/(-3). Suppose -5*j + 0*j = -3*g - y, 2*j - 3*g - 1 = 0. Is 0.4 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -756 (base 8) to base 14\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 648 and 31432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = z + z. Suppose 2*b = z*b - 6. Suppose 0 = 5*g + 4*l - 64, -2*g - g - b*l + 40 = 0. What is the lowest common multiple of g and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 32 = 3*u, -3*u - 4*y = -5623 + 5594 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10911 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 510 - 514. Let j = -96\/35 + 22\/7. Sort j, 1.8, n in increasing order.\nAnswer: n, j, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 10. Is 9 a factor of -4 + 1 - 24\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h = -4223 + 48274. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -257903.\nAnswer: -3\/257903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2. Let s(h) = -217326*h**2 + 5*h. Determine s(v(w)).\nAnswer: -1955934*w**4 - 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -10 + 18 + -16 + 39.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -307116838?\nAnswer: -307116838.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 23*g + 3. What is w(4)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 - 0.11. Let k = 109.005 - 0.005. Let a = k + -107. What is the nearest to h in -2, -2\/3, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 + 7*d. Let l(h) = 10283*h. What is r(l(v))?\nAnswer: -211480178*v**2 + 71981*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66940 divided by -33470.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {o: 1, v: 1, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*a**2*j**3 - 10*a**2*j**2*z - a*j**3*z + 33*a*j**3 + 10*a*j*z wrt a.\nAnswer: -48*j**3 - 20*j**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*(c**(-1)*c*c*c)\/c)))**(-41))**12 assuming c is positive.\nAnswer: c**(-984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121111221.\nAnswer: 3, 7, 11, 29, 101, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.012 or 538.79?\nAnswer: 538.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.079 + -2.079. What is the third smallest value in a, 4, -0.16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**2\/2 + b - 4. Let v(o) = 2. Let x(n) = -46. Let q(d) = 88*v(d) + 4*x(d). Let h(a) = 3*g(a) - q(a). Give h(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6109158 is divided by 4532.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5145 by 1029.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 + -49688475958767.\nAnswer: -49688475958766.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -141, -326, -579, -894?\nAnswer: -1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-10)\/70*245\/(-560).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24427, 17, 1 in descending order.\nAnswer: 17, 1, -24427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 326863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 - -3.3. Which is the nearest to -2\/7? (a) 0.07 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 156737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/3*(-486)\/216.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2224 and 2363?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.3 + -26.5. Let o = n + 66.8. Which is smaller: -23 or o?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 0 - 2 + 0 + (s - 5*s + 2*s)*(0*s + 0*s + s) - 3 - 2*s**2 + 3 + 856*s**2 - 3168*s**2 + 379*s**2 to y*s**2 + x*s + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 1, 5, -4.\nAnswer: -4, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tutt when four letters picked without replacement from {u: 5, t: 9}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 11*c**2 - 10*c + 24. Calculate o(12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 14234*r + 1736570. Calculate u(-122).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 13. List the prime factors of y(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 >= 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -68? (a) 2\/7 (b) -5\/2 (c) 3 (d) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 363128 to the power of 1\/2, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1386276 to the nearest 1000.\nAnswer: -1386000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Suppose 4*w + 3*d + 10 = 0, 3*w + 5*d = -25 + 1. Put k, 4, -3, w in decreasing order.\nAnswer: 4, w, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11210001020221 - -1?\nAnswer: 11210001020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/44 and 29\/191344632?\nAnswer: 2104790952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 2:19 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 297\/45 + 2\/5. Let u = -2 + h. Suppose 2*w = -4*d + 54, d - u*w = 5*d - 51. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9963449.\nAnswer: 9963449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - 91. What are the prime factors of 2\/(4 + 2) - i\/3?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0033 times 6\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.389281 + -1.46005. Let j = 6.968609 + t. Let i = j + -6.9. Round i to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, e: 4, x: 1, k: 2, o: 8}. Give prob of sequence ooxe.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 1\/5, -2\/3, -12.0511?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132551 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/637*7)\/((-66)\/(-14))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) -1 (c) 9\/16 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 12:46 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3947\/6 + -648. Suppose 2*s + 2 = 0, 5*c + 0*c + 10665 = 5*s. What is the common denominator of c\/1170 - (-30)\/(-195) and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 m, and 1 k when four letters picked without replacement from mnssnsksssk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - -20) + (2 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 6, -6, -4 in ascending order.\nAnswer: -8, -6, -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*k - 594, 4*k - 3*u - 434 - 371 = 0. Is k a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 1 - 10*i + 20*i - 8*i - 2. Calculate p(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 87630000 to the nearest one million.\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -12*f**2 - 853*f - 82. Give d(-71).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2157*t = 2160*t + 18*o - 69, -t + 23 = -6*o + 2*o for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2 - 4*s - 4. Let w be r(-3). Let t = 138 + -190. Let i = w - t. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2. Let h(s) = -176815901*s. What is g(h(i))?\nAnswer: 31263862846441801*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18005*l**5\/4 - 5*l**4\/4.\nAnswer: -5*l**4*(3601*l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*b + 26389 = 104*b. Does 25 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.48, -46, 2\/7 in increasing order.\nAnswer: -46, 2\/7, 3\/7, 0.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q + 28*q - 2*q**5 + 21*q - 100*q - 42*q**3 - 26*q**2 + 26*q**4 + 62*q = 0 for q.\nAnswer: -1, 0, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017 to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -17*v + 108. Calculate the greatest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*n + 28*n + 972 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -65212*a + 2. Let b(w) = 2*w + 1. Give k(b(x)).\nAnswer: -130424*x - 65210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 370794 and 300.\nAnswer: 18539700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 10. Let o be y(-15). Which is bigger: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o - o - o + (2 - 1 + 1)*(5*o + 0*o - 4*o))*(-7 + 37 + 14 + 11) + 16*o + 13*o - 13*o as z*o + n and give z.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5929322?\nAnswer: 2, 7, 53, 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1025 + -1048. What is the closest to 0.1 in 4, -3, r, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23544, 47098, 70652, 94206, 117760?\n\"Answer: 23554*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s + 4. Let j(u) = 3*u - 7. Let r(v) = -9*v + 20. Let f(y) = -11*j(y) - 4*r(y). Calculate -5*f(i) - 4*n(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 123891 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2891*r**3 + 5870?\nAnswer: -8673*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2060, 15433, 51672, 122189, 238396?\nAnswer: 411705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 13*x - 3. Let p(o) = -o**2 - o. Let f(m) = -j(m) - 13*p(m). Let l(w) = -70*w**2 - 14. Give -28*f(t) - 6*l(t).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -12. Let f be 1002\/o - 1\/4. Suppose -161 = -3*w - 5*g, -3*w + 6*w - 4*g - f = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000186605 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*x**5 - 47*x**5 - 14*x**2 + 79*x**5 wrt x?\nAnswer: -660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -18*s**2. Let h(u) be the second derivative of -47*u**4\/3 + 7701*u. What is o(h(v))?\nAnswer: -636192*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxvv when four letters picked without replacement from {x: 1, v: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 3\/4*f**4 + 0*f**2 + 4*f + 0*f**3 - 1. Find the first derivative of p(j) wrt j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 463723782*l**2 + 127502864*l wrt l.\nAnswer: 927447564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*l + 80 = 0, 2*l = l + 4. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/4 + (-2)\/8. Let y = -1 - o. Suppose -3*h + 4 = -y*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -190 + 222. Solve 37*l - 25 = p*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (90 - 20) - 20\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, p: 5, q: 2, s: 2, x: 1}. Give prob of picking 2 t and 1 s.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208 - -225. Solve t*c - 28 = 23 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {u: 2, f: 17}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + -12 + -2 + 3 - (-2 + -11).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7870158 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: Calculate the smallest common multiple of 214 and 2.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*g + 54. Solve 27*a**5 + 63*a**4 + g*a**3 - 48*a - 17*a**2 - 52*a**2 - 12 + 18*a**2 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -19*l - 1. Let n be m(-1). What is the greatest common factor of 126 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9028897?\nAnswer: 41, 220217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 65*a**5 + 8100*a**4 - 224430*a**3 + 1128280*a**2 + 3985605*a - 4897620 = 0.\nAnswer: -1932\/13, -3, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r**(2\/59)*r)*r)\/r*r*r*r)**(14\/3)*r\/(r\/r**(-3\/11))*r**(-13\/2)\/r assuming r is positive.\nAnswer: r**(23633\/3894)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 410895 to the power of 1\/2, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2\/3 + 345242*j\/3 + 5869403\/3 = 0?\nAnswer: -17, 345259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61016806*z**5 - 96351279*z**2.\nAnswer: 3661008360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-24)\/(-14784)*-91 - (-2)\/(-16))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 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: What is the second biggest value in 5, 86, 1, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 55341465?\nAnswer: -55341463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4451, 3125, 1583, -283, -2581, -5419, -8905?\nAnswer: -13147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 5*k - 2. Let x be j(4). Suppose 5*g + 3 = 2*l - 2, 0 = -5*g + l. What is the units digit of g\/(-3)*2*x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16826591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3984)\/1660*(-60)\/(-8)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3213301636 + -2.\nAnswer: 3213301634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 265 - 63. Suppose 8*t + 38 = -c. Let d be (21\/(-35))\/(2\/t). Solve d = 4*s - 7*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 85. Let m(z) = 4*z. What is v(m(a))?\nAnswer: -8*a + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14887343031 + -14887426933.779885. Let p = 83903 + y. Let b = -0.22 + p. Round b to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 0*c + 25*c**2 + 58\/3*c**3 + 63. Find the second derivative of w(q) wrt q.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1922 + 3589 + 2560 = 150*z + 271 for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37601270782 take away -2?\nAnswer: 37601270784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.3803225.\nAnswer: -0.11409675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29537148 is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 217797579 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*p - 63*p = -c - 663147, 4*c = -3*p + 1989462. What is p rounded to the nearest one thousand?\nAnswer: 663000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1080\/81*(-42)\/(-8). Let q be (15*7\/x)\/((-2)\/8). Which is greater: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26950 and 1265?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1311 divide 27140215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13446 < 13447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1023, 4835, 11303, 20427, 32207, 46643, 63735?\nAnswer: 83483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 0*l - 6*l)*(-1 - 4 + 6) - 2 + 3*l + 1 - 8*l.\nAnswer: -7*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/51)*d*d*d**13*d**(-12)*d*d*d**(-10) assuming d is positive.\nAnswer: d**(-257\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23951 is divided by 142?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znxun. What is prob of picking 1 z and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -38 (b) 4 (c) 2\/13 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -30 + 10. Suppose -4*w = -0*d + 5*d - q, 4*w - 4 = 5*d. Suppose -3*n + 2*n - j + 7 = 0, -n - 2*j + 9 = d. Solve 15 = -2*l + n*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-5)*5937149*-1. Let x = n - -1667149. What is x rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1964 + 0.0036. What is the closest to k in -1, 5, -0.2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/713125 or -1?\nAnswer: 2\/713125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*s - 14. What is the remainder when 39 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 24*p + 2087. What is c(-87)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 132*w - 850. Let k be f(7). Put -4, k, -3, 3, -1 in ascending order.\nAnswer: -4, -3, -1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 199 and 1.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 283605.3 centuries?\nAnswer: 340326360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -225*g - 5. Is x(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -68, -87, -2, 4, 1 in descending order.\nAnswer: 4, 1, -2, -8, -68, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -223 (base 5) to base 9\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -787, -77, -1\/4, 0.1, -0.0198?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from {t: 3, d: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 6*o**2 - 2*o - 13. Let r be q(-6). Suppose -3*b + 2*j - 7 = 0, 4*b - 2*b - 4*j + 2 = 0. Put 4, b, r in decreasing order.\nAnswer: 4, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0468 + -0.4468. Sort 0.3, 63, h, -1.\nAnswer: -1, h, 0.3, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551069535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (2 + -2)) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*q**3 + 34 - 34.\nAnswer: 102*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - -166*(-122)\/704. Let n = -302\/11 - i. Calculate the common denominator of n and 2\/(-9) + 2597\/(-126).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 - -0.49. What is the third smallest value in -10, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.3 - 3.2. Which is the closest to 8? (a) n (b) 3\/4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (473\/370832*392)\/(((-38)\/(-20))\/1)?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 328773793 by 11357.\nAnswer: 28949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 - 5*m + 5*m - 83*m**3 - 189*m**3 - 109*m**3 + (-2*m**3 + 2*m**3 - m**3)*(-1 + 1 - 2).\nAnswer: -380*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 34334502821373.6?\nAnswer: 34334502821378.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-2)\/12*2. Solve t*i = 5*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -y - 25 + 11, y = 2*z + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 23. Let g be 48\/(-18)*(-3)\/o. Suppose -8 = g*y - 64. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 70 - 141 - 65 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4163 is divided by 831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-4)*16\/6. Let n be 18\/(-45) + (-2)\/(-5). Suppose 2*f + 5 = -5*w - 4, 5*w = -5*f. Solve -8 = 4*y - o*z, -4 = -n*y + y - f*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 28 = 2*o. Calculate the least common multiple of 48 and (-328)\/(-18) + (o - 190\/45).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138 - -97. Let g = -40.57 - f. What is g rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 + 1053899.\nAnswer: 1053899.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*a**2 + 6*a**2 + 7*a**2)*(23 + 4*a - 23) - 3*a**3 + 2*a**3 - a**3)*(6*a**2 - 7*a**2 + 9*a**2).\nAnswer: 272*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 14. Suppose -4*i = -8*i + h. Let q = 17 - 20. Sort 3, i, q in descending order.\nAnswer: 3, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 11*p**4 + 7*p**4 + p**2 + 2 - 21*p**4 + 5*p as d + a*p**3 + z*p**4 + q*p + u*p**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + t + 9 = 0, 9*n - 27 = -30862070*t + 30862073*t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*h - 314602 = 157298. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224946124 is divided by 3145.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 7*l**2 - 3*l - 43. What is j(9)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 a, 1 l, and 1 z when four letters picked without replacement from czneczaelcccccclzc?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/34394300 and -31\/10?\nAnswer: 34394300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -5333\/426?\nAnswer: -5333\/426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -165555 or -662219\/4?\nAnswer: -662219\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x**2 - 8*x + 4. Let u(c) = -3*c**2 - 4*c + 2. Suppose -6*n = 261 - 291. Give n*u(m) - 2*j(m).\nAnswer: -m**2 - 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 = 5*i + 2563. What are the prime factors of i\/(-30) - 2\/10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65195 - -4a5?\nAnswer: 6567a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*f = -2*s - 371, -s = 5*f - 127. Let d = s - 119. Find the third derivative of -d*h**2 - 15 + 5 + 5 + 3 + 21*h**6 wrt h.\nAnswer: 2520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*g - 1846, -g + 1100 = 2*g - 5*h. Suppose -2*i = 0, 0*k + 5*k - g = -5*i. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 4*p + 0*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 o, and 1 j when three letters picked without replacement from {h: 1, i: 4, o: 6, a: 3, y: 1, j: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 89 = -3*q, -2*q + 3663 - 7437 = -3*f + 4*f - 3700 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33342 + 44432404?\nAnswer: 44344012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011211010 + -2?\nAnswer: 1011211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -213 * 1\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 108539692*z**2 - 210065249 wrt z?\nAnswer: 217079384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042626257 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 218 - 230. Is 49 a factor of 9\/t - (2718\/(-8) + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 12799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 13729020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188953, -188942, -188929, -188914, -188897?\nAnswer: -188878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnn. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - -32. Let x = -27 + o. What is the greatest common factor of 56 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 14*m + 15*m + 1829 = 0, -5*m + 631 = t. List the prime factors of t.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, -0.3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 + 256. Does 25 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 4*j**2 + 3*j. Let p be g(3). Suppose 9*r - 4*r = p. What are the prime factors of (-2)\/(-1) + r + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**0*m))\/m)**39*m**(-2)\/((m*(m*m**(-2))\/m)\/m)*(m*m\/(m*m**(1\/3)))**(-1\/4)\/(m**(3\/2)\/m**3) assuming m is positive.\nAnswer: m**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-2))\/(-1)*(-2582)\/(-6455)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011777 rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*i - 1. Suppose -1 + 2 = h. Suppose -3*n - 20 = -5*x, -h = 2*x - 5*n - 28. What is the highest common divisor of x and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 215*t**2 - t - 1. Let q be s(-7). Let r = q - 147673\/14. Calculate the common denominator of r and 91\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h. Let r(a) be the second derivative of -133*a + 1\/3*a**3 + 3*a**2 + 0. Give d(r(s)).\nAnswer: 12*s + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 30 + 127 = -74 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + i + 0*i)*(2*i - 3*i + 2*i) - 261*i**2 + 126*i**2 + 137*i**2 + (-2 + 5 - 1 + 2*i)*(1 + 3*i + 2 - 2) as b + d*i + u*i**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 4, 1\/8, -0.4, -583, -2\/3, 5376?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbiigiiigbgbikkmig. What is prob of picking 1 w and 2 k?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14754 is divided by 1458?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 119 - 19 = -34 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1511 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riuuuruur. Give prob of picking 1 i and 3 u.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = t + 33, -4*p + 44 = -0*t - 5*t. Let w be (4 + -1144)\/3 + -6. Let m = w + 392. Solve 4*z - 2*l = m, z + p = -2*l - 0*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 23. Let y(i) = 11546*i**2 - 322*i + 644. Let j(l) = 361*l**2 - 10*l + 20. Let a(b) = 161*j(b) - 5*y(b). Calculate n(a(s)).\nAnswer: -391*s**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/42)\/(((-68)\/255)\/(-4))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4*s - 14 - 30 + 9, -s - 50 = 11*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1)\/((15\/(-4))\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(-1\/5))**(4\/13)*(s*s**(2\/9))\/(s*(s\/(s**(1\/9)*s))\/s))**(3\/19))**(3\/10) assuming s is positive.\nAnswer: s**(552\/6175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (129 - (146 + -23)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2676796 or 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 10\/(-35) - 1486\/(-7). Calculate the greatest common factor of s and 954.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -3 + 5\/7*o**7 + 7\/3*o**3 + 0*o + 0*o**2 + 0*o**4 + 0*o**6 + 0*o**5. What is the third derivative of v(k) wrt k?\nAnswer: 600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 91 = -73. Let k = s - 102. Calculate the highest common factor of 93 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125*b**4 + 2*b**3 - 1822*b**2 wrt b?\nAnswer: 3000*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10714 - -10755. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1164 - -11664?\nAnswer: 10500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 311616*m\/5 - 311626.\nAnswer: 2*(m - 5)*(m + 155813)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.1 + 19. Let y = r + 0.0965. Round y to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00037708092 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01829, 4, 0.4?\nAnswer: 0.01829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (2 - (-380)\/(-45))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*x - 12*x**2 + 5*x - x + 0*x**2 to z*x**2 + n*x + c and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796269221 to the power of 1\/2, to the nearest integer?\nAnswer: 42382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331353871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 118246775.5 minus 1635.22?\nAnswer: 118245140.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2325*g**5 - 3780*g wrt g.\nAnswer: -46500*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9744262?\nAnswer: 2, 11, 53, 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 7*x - 10 = 0. Let z(p) = -p**2 - 6*p + 8. Calculate the least common multiple of x + (-4 - 2) + 3 and z(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + 40*a**2 + 101*a + 2488. Give j(-20).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 2*r**7\/315 - 2*r**5\/45 + 2*r**3\/9 - r**2 + 7. Factor d(j).\nAnswer: 4*(j - 1)**2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -8*z**3\/3 - 43*z. Let i(m) = 2*m. Calculate i(j(g)).\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906185 is divided by 607.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 - 2*h**2 + 7*h + 5. Let f(m) = 47. Let r(l) = -24. Let q(o) = f(o) + 2*r(o). Determine a(v) + 5*q(v).\nAnswer: 2*v**3 - 2*v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1128943*o**2 + 3002919*o?\nAnswer: -2257886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*((z*z**2)\/z)\/z*z))**43\/(z*z**(1\/5)*z)**45 assuming z is positive.\nAnswer: z**(-142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -122443 + -b?\nAnswer: -122452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 < 208\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23299, -325, 13.\nAnswer: -23299, -325, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10177 (base 8) to base 10\nAnswer: 4223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.64 + 0.24. Which is the smallest value? (a) z (b) 0.4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 + 80.97. Let r be 0*(0 - (-1)\/(-2)). What is the smallest value in r, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 11:24 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 34*v + 246. What is d(20)?\nAnswer: 1326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2*m + 5 = 8*k + 27, -4*k = -5*m + 20 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148 - 28. Let v = 54 + -2. Calculate the remainder when v is divided by (-4)\/(-10) - y\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 106 = -5*k - 2*z, 4*k - z - 115 = 0. What is the nearest to -1 in 4, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -16*k - 48. Let t be x(-3). Suppose t = -28*v - 27 - 29. Suppose -f = -3*f - 10. Which is the nearest to 0? (a) -2\/3 (b) f (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -657 + 662. Which is the closest to 0? (a) d (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 730*s - 24084. Give b(33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdfiihfhqqifhifh. Give prob of sequence dfh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-10)\/a*a)*a*a*a)\/a**(-3\/4)*a\/((a**(-4)\/a)\/a)*a*a\/(a\/((a*a**(-6))\/a)))**31 assuming a is positive.\nAnswer: a**(2077\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-8) - 20\/(-8). Let s be -2 + -2 + d - -12. Suppose -7*v + 3 = -s. Solve -2*u = -y + v*u + 11, -y = 2*u + 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54465 and -0.7.\nAnswer: -38125.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 206, 318, 430, 542, 654?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 2*q + 5. Let a(c) = 6*c**2 - 5*c + 9. Let p(f) = 3*a(f) - 5*v(f). Suppose p(k) = 0. What is k?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -260946668*k*x**3 - 411135361*k + 2*x**3 + 2 with respect to x.\nAnswer: -782840004*k*x**2 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 98. Let m be (7 - 7) + (k\/(-1))\/1. Solve 3*u - u = m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/9 + (-43)\/(-9). Let l(o) = -2*o**2 + 11*o - 2. Let y be ((-6)\/4 + 16\/4)*2. Let j be l(y). Solve -j*x - w = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.093, -14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-36 - -2)) + 1. Let o = w - 13. Let y be 106\/8 - 5\/o. Calculate the highest common divisor of y and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 276069991?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*m + 9. Suppose -10*l + 210 = -m*l. What is the remainder when l is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2907.0916 - -27581\nAnswer: 24673.9084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1489 + 116619?\nAnswer: 118108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 89285391 to the power of 1\/2, to the nearest integer?\nAnswer: 9449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.3 (b) -19 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 52137 - 52380 = -5*u, -2*u = -96 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16512 + 24329. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14500 + -825. Is (-12 - (-574)\/49) + b\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124 by 610569.\nAnswer: -124\/610569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35200 and 748.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3588155063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:34 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5575.\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5504 + -5501. Suppose 0*r = 7*r + 21. What is the closest to -0.2 in r, 42, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -311 in -6, -5, -373, -0.5, -0.2?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -32*c**3 + c**2 - 19*c + 18. Determine b(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1392993 divided by -21.\nAnswer: 66333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*-3*sqrt(72)*5)**2.\nAnswer: 4147200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p - 1. Let j(o) = 5*o + 1. Let k(d) = 3*a(d) + 2*j(d). What are the prime factors of k(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -106, -166, -226, -286?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438054.\nAnswer: 2, 3, 73009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 26*r + 25, -3*r + 0 = 4*u - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-10)\/(-2500)*25*6\/(-9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15078.9 + 15088.69864. Let t = -1603 - -1612.8. Let h = k - t. What is h rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4 - 29*y**3\/3 - 74*y**2\/3 - 44*y\/3 + 8 = 0.\nAnswer: -6, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 - 3*z**2 + z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001926664868 to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -239 or -1672\/7?\nAnswer: -1672\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.667787km to nanometers.\nAnswer: 2667787000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2797*g**3\/6 - 41957*g**2\/6 - 5*g.\nAnswer: -g*(g + 15)*(2797*g + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395*a = -246*a - 614774. Calculate the highest common divisor of a and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241890.\nAnswer: 2, 3, 5, 11, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1404, -1 in decreasing order.\nAnswer: -1, -5, -1404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2126950 a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122 and 549?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**4\/4 - 2*f**3 + 3*f**2 + 3*f - 373. Suppose 4*p - 10 = 10. What is i(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 49 = l, r = -4*l - 539 + 546 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6070408 minus 0.3?\nAnswer: -2.9070408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 1088595168?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*q. Let d be 0\/(3\/6*-2). Let z be (3 - d) + -1 - 3. Which is the smallest value? (a) 0.4 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 3. Let x = -15 - 1. Let u = x - -20. What is the tens digit of l(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890*l + 5777 = 14677 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108192 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6228 greater than 6229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659*m**2 - 12 + 1043*m**3 - 713*m**2 + 1372*m**2.\nAnswer: 1043*m**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 58?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4131 - -4133. What is the third smallest value in 11, -2\/5, 3\/5, j, 1\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2834155 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -6254.\nAnswer: -6259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72791.63 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 5, 3, 11, 78 in increasing order.\nAnswer: -3, -2, 3, 5, 11, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -15*g. Let h = -204 - -313. Let k(r) = 253*r**2 - h*r**2 - 129*r**2. Give i(k(v)).\nAnswer: -225*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112444198 is divided by 303.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -257*l - 7663. Determine k(-30).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4733 - 8224. Let j = 41819\/12 + h. What is the common denominator of j and (-5)\/(115\/(-2)) - (-275)\/276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(sqrt(432)\/sqrt(3)*-4)\/((sqrt(72)*-1 - sqrt(72) - sqrt(72) - sqrt(72))*4).\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 8*q - 2065. What is s(-64)?\nAnswer: 1519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.04 - 0.04. Let k = 1.89 + -1.69. Which is the nearest to k? (a) -1 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**4 - 4*k**3 + 5*k**2 + k + 3. Let a(v) = 0*v + 11 + v**3 - 12 - v**4 - v. Let q(t) = 3*a(t) + l(t). Factor q(u).\nAnswer: -u*(u - 1)*(u + 2)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 738\/(-164)*16\/6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*g + 3*g = 15, -5*g = 5. Solve 0 = 2*n + 2*n + b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.203753 to 2 decimal places.\nAnswer: -57.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056556.5 minutes in hours?\nAnswer: 17609.275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n - 7*n - 4*n - 14*n - 1950*n**3 - 3*n.\nAnswer: -1950*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.04008, 0.05, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 a factor of 2276908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21870 and 60?\nAnswer: 43740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 211106720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 0*r + 66. Let m(h) = -h + 14. Let j be m(r). Determine f so that 511*f**j - 514*f**3 - 5*f**4 + 2*f**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26106 and 13528?\nAnswer: 9293736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/1275 and 23\/78975.\nAnswer: 1342575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -2*j**3\/3 - 3*j**2\/2 - 2*j. Let g(m) = 77*m + 56. Determine -3*g(u) - 56*n(u).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99177 - 99033.034. Let w = -144 + o. Let t = w + 0.134. Which is the biggest value? (a) -2\/5 (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14\/3 (b) 1\/4 (c) 0.2 (d) 29393\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -753 and -26\/137 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1950 + 580 = 72*a + 2302 for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 26*b + 2 + 13*b - 25*b to the form o + x*b and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -2*a**5\/45 - 10*a**4\/9 + 376*a**3\/27 + 320*a**2 - 4608*a - 3509. Factor m(s).\nAnswer: -2*(s - 8)**2*(s + 18)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 + 0.1. Let g = 0.29 - 0.245. Let t = g + -0.215. Which is smaller: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*h**3 - 1)*(-3*h**2 + 0*h**2 - h**2)*(11 + 0 - 19).\nAnswer: 64*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 8:51 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in -107105, 2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**8\/840 + d**6\/150 - d**4\/60 - 5*d**2. Suppose s(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/2 + 2 + -2. Suppose 4*p - 42 = 3*x, 3*p = -4*x - 13 - l. Let a(d) = -d - 5. Let o be a(x). Solve 3*y - 4*y = -o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/448*-14)\/((-6)\/(-8))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 227 + 221 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/4216 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**6\/60 + 2*q**5\/15 + q**4\/24 + q**3 - q**2. Let f be l(4). Solve -f*z - 25 = -5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + (10 - 11) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 5:39 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -12537.97936 to the nearest 10.\nAnswer: -12540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -24*q**2. Let h(g) be the third derivative of 3*g**4\/8 - 106*g**2 + g. Calculate h(x(z)).\nAnswer: -216*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:42 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 207 divided by -4\nAnswer: -207\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/8)\/(30\/(-480)). Solve 3*t + t - q = 2*r, 3*r - 2*t = 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 less than 38487?\nAnswer: 38391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 2. Let h be i(-6). Let y be (0 - (-21)\/12)*h. What is the remainder when (-1044)\/(-28) + 2\/y is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sns when three letters picked without replacement from nmsssssssm.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 674*b**4 - 5*b**2 - 40*b**3 + 673*b**4 to the form a*b**4 + c*b**3 + o + p*b**2 + k*b and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + sqrt(7623)*-2 + (sqrt(7623) + 1)*4 - ((3*sqrt(7623)*5 + sqrt(7623))**2 + 0)).\nAnswer: -1951477 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6747 and 288.\nAnswer: 647712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83233 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16090974 and 729?\nAnswer: 48272922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-142)\/(-4) + (105\/10)\/(-3). Solve -o + 86 = -18*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -6*i + 7. Let k be 79 - (-2 - (i - -2)). Let j = k - 75. Solve -b = 5 - j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 5045, 694?\nAnswer: 5045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1721 is divided by 191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -105*o + 129*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*r = 0, -5*k = 4*r - 2*r - 21. Suppose 4*z = k*z - 4, -5*q + 5*z = -140. Solve q = 2*y + 2*u + 6, 0 = 3*y + u - 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**7*g*(g\/g**(-7\/5))\/g assuming g is positive.\nAnswer: g**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 64232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 - 1. Let p = -0.6 + z. Let x be (0 - (-7)\/3) + -1. Which is the nearest to p? (a) 3 (b) x (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68766.\nAnswer: 2, 3, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = g - 4*g. Let s = 13 - 12.894. Let z = 0.106 - s. Which is the closest to z? (a) -0.2 (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olfoopvpflofvpo. Give prob of picking 1 p and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k + 288 + 262. Let z = -44 + k. What is the remainder when 35 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 - 2*t**4 + 3*t**4 + 1 - 1 + t**4 + (t**3 - 4*t**3 + 2*t**3)*(-3 + 2*t + 3) - 3*t**4 - 4*t**4 + 4*t**4 - 19*t**4 + 12*t**4 + 4*t**4.\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*1\/(-4)*3. Solve -4 = f + 4*f - m, -3*f = -c*m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126770?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 8) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a millisecond in microseconds?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 41. Is t >= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 103?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.58 - 31.371. What is v rounded to one decimal place?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-14)*7\/(-2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 11:11 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 5*p**2 - 15*p - 49. Let i be s(-5). Let f be (-2)\/4*i\/(-13). Let c(j) = -4*j**3 - j**2. Calculate c(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.414023mg in kilograms?\nAnswer: 0.000007414023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*c - 429 - 228 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1008 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 333776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 3284426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 4. Let u(b) = -5*b. Is u(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/3564 and -11\/1476.\nAnswer: 146124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 3, 1\/3, 2\/9, -5.41, 2 in descending order.\nAnswer: 3, 2, 3\/2, 1\/3, 2\/9, -5.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 792135 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -493880 rounded to the nearest one thousand?\nAnswer: -494000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by -3\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -74 - 0*3\/3. Let n = 137 - f. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6 = 2. Which is smaller: w or -5\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(162) + 0 + 3 + (-2 + sqrt(162) + -5)*-5.\nAnswer: -36*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 154 - 3711?\nAnswer: -3557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 728431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 278 - 13. Calculate the remainder when x is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12759 + 12759.12701. What is g rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 6705907.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 5*c - 4. Let q be b(-3). Suppose v + q*n - 6 = 0, -v = -0*v - 2*n - 14. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, 5, 0.\nAnswer: 0, 5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a factor of 10126248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -3. Let k = u + 8. Find the second derivative of -5*q**5 - 2*q + 3*q**k + 7*q wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 6*q**2 - 1. Let j be r(-4). Suppose -j = -2*u - 0*b + 5*b, -5*b - 7 = u. Suppose -4*h + 16 = -u. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147730117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 583\/(-33) - -7.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185 - 185 - 65*v + 266*v.\nAnswer: 201*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1594873 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 134479*i + 134478.\nAnswer: (i + 1)*(i + 134478)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -23. Let y be x\/14 + (-18)\/42. Suppose -6*a + a = 20. Put y, 4, a in increasing order.\nAnswer: a, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/7)*n**1 assuming n is positive.\nAnswer: n**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 e, and 1 p when three letters picked without replacement from revrvervrvverrpvv.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 13*s - 11. Let t be z(-9). Calculate the remainder when 294\/9 - 2\/3 is divided by -15 + t - 2\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459 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: Let y(p) = -10*p**2 + 2*p**2 + 1 - 2 + 3. Let m(x) = x**2 - 1. Let q(i) = 6*m(i) + y(i). Find the first derivative of q(j) wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:41 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 5*s**2 - 2*s**2)*((-s + 4*s - 2*s)*(0 + 1 + 2) - 2*s + 0*s + 0*s + (-s + s - 2*s)*(0 - 1 + 0) + 2*s - 4*s + 3*s).\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 + 0 + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -283, -419, -539, -637?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (19 - (-1 - 1)) + -1. Suppose -5*j = -5*m - 0*m, -b = -3*j - m. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4753032?\nAnswer: 2, 3, 198043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Let v(q) = -2*q - 11 + 13 - 11. Let c be v(-6). Let h(p) = p + p - c*p. Determine l(h(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64965, -261291, -588503, -1046601, -1635585, -2355455, -3206211?\nAnswer: -4187853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, -2, -7, -1\/6, -641687 in ascending order.\nAnswer: -641687, -7, -2, -1\/6, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 40\/12*(-3)\/(-2). Suppose 17 = -3*n + 2, -h*u = n - 80. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17245.\nAnswer: 5, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12502 - 12334. Which is bigger: -63 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 20 - 14. What is the remainder when c is divided by (1\/(-3))\/(-1)*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-5)\/((-35)\/(-28)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**(-28) assuming r is positive.\nAnswer: r**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 198 + 90. Let g = w - 175. List the prime factors of g.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -300 - -304. Factor -15 + 8*z**5 - 76*z - 10*z**3 - 4*z**q - 9*z**3 + 10 - 124*z**2 - 11 - 57*z**3.\nAnswer: 4*(z - 4)*(z + 1)**3*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -227 - 17. Is g a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**2 - d + 16 - d - 11. Let b(x) = 5*x**2 + 6. Let k(s) = -9*s**2 - s - 5. Let t(u) = -6*b(u) - 5*k(u). Calculate -7*q(p) - 3*t(p).\nAnswer: 4*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = -25*y + 57 + 133 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*r**4 - 258067*r**3 - 33289193 wrt r.\nAnswer: 16*r**3 - 774201*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 7*g + 1 + (4 - 2 + 0)*(4*g - 5*g - 2*g) as d*g + y and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*a - 4030349 = 9903710. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 7*l + 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2762.\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 106, 143, 224, 367, 590?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/(-1)*(-795)\/6360?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - -1.1. Let l be 2 + 2\/4 + -1. Let b = l - 23\/10. What is the biggest value in -0.5, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2440*g + 60069 + 60276 - 30065 = 0 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.95 - -1.9. Let y = 387493.95000032 - 387494. Let o = y - t. What is o rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 11:11 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/10)\/(4\/(-620)). Find the common denominator of 2\/(-4) + u\/(-44) and (-1939)\/(-168) - (-8 - (-215)\/30).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 3, 0.4, 7 in decreasing order.\nAnswer: 27, 7, 3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609175.\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - r + 3. Let t(k) = 4*k + 2. Let l be t(-1). Let v be (l + 4\/2)\/(-17 + 16). Give q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/2 - 920563*k - 847436236969\/2 = 0.\nAnswer: -920563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77457 rounded to the nearest one thousand?\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 2*c - 3*c)*(16*c + c + 11*c) - 66*c**2 + 6*c + 46*c**2 - 5*c as y*c + b + r*c**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43072 + -12744. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2231844 divided by 557961?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72*h*q*v**2 - 2*h*q + 6*h*v**2*z - h*v**2 - 33*q*z with respect to z.\nAnswer: 6*h*v**2 - 33*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1497, 2998, 4499, 6000?\n\"Answer: 1501*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 12852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 9:04 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, y: 1, h: 1, c: 1}. Give prob of sequence uh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 6*i + 0*i)*((-2 - 5 + 5)*(-i - 1 + 1) - 99 + 31*i + 99).\nAnswer: -264*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2. Let f(i) be the third derivative of 0 + 0*i**3 - 1\/10*i**5 + 85*i**2 + 0*i + 0*i**4. Determine f(g(m)).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k + 4. Let v = -1682 + 1682. Let l = -0.027 + -4.973. Put k, v, l in decreasing order.\nAnswer: k, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.7 less than -159?\nAnswer: -82.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 4*b - 4. Let w be q(5). Suppose 3*p = w + 5. Suppose 2176 = k - 3*x + 2144, 3*x = 2*k - 49. Solve -3*r = p*n - 0*r + 2, 2*r - k = -5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**5\/13 - 14*p**4\/13 - 66*p**3\/13 + 38*p**2\/13 + 16*p + 120\/13 = 0.\nAnswer: -3, -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3462926 and 11454?\nAnswer: 3818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -3, 87 in descending order.\nAnswer: 87, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 = 3*p + 3*h, 2*h = 3*p - 383 - 182. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 114164*z - 228327. Determine y(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.0522 + -59\nAnswer: -61.0522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = 10*o - 14*o. Suppose 10*f - o = 236. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132514474 and 10446.\nAnswer: 3482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1\/5 (b) -1 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 12 + 286. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -39, -351 in descending order.\nAnswer: -4, -39, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -11131564?\nAnswer: 11131562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*((sqrt(1584) - 1*sqrt(1584)) + sqrt(1584))*5 - (5 + -5 + sqrt(1584)*-2 + 2))**2 + -5.\nAnswer: -8736*sqrt(11) + 52468415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1356*r**2*v**2 - 6*r*v**2 - r*v + 16 wrt r?\nAnswer: 2712*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 266*i - 50. Let z(r) = 366*r - 67. Let k(f) = -11*b(f) + 8*z(f). Let m(q) = -63*q. Determine m(k(u)).\nAnswer: -126*u - 882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -2\/15, -1431.5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 9:13 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1991557 to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 304 - 3966 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2898204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1)*(-20)\/15*2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o**4\/11 + 2710*o**3\/11 - 313558*o**2\/11 + 1699706*o\/11 - 994580\/11 = 0.\nAnswer: 2\/3, 5, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342021 is divided by 67952.\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23521.1726 times 2?\nAnswer: 47042.3452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88462004 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 705739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -10. Let u be 66 + 0 - 3 - 3. Suppose -5*c = -r*c + u. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35800000 rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from settesetesotstt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**2 + 3*z - 5. Let m(x) be the second derivative of x**4\/12 + x**2\/2 - 206*x. What is -4*m(v) - t(v)?\nAnswer: v**2 - 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1cd11d2 + 3?\nAnswer: 1cd11d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-8)*(-2)\/5. Is 0 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*u**2 + 20179724*u + 12 - 20179724*u in the form d*u + c + r*u**2 and give r.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (17 - 12 - 2 - 91 - (11 - 4)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227232390, -227232391, -227232392, -227232393, -227232394?\nAnswer: -227232395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {g: 1, t: 1, h: 1, r: 1, i: 1, s: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -120, 47, 5 in decreasing order.\nAnswer: 47, 5, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 236436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.01 (b) -1\/12 (c) -0.4 (d) 2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-10))\/(538\/(-13450)) - 75\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2472 is divided by 1873?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -72. Suppose 0 = c*o - o - 38. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418508 (base 11) in base 10?\nAnswer: 670106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 21*f + 2. Let i be t(3). Let l be i\/15 + 3\/(-9). What is y in 3*y**3 + 19*y - 24*y**2 + 27 - 21*y**3 - 3*y**l - y = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 + 233*s**2 + 405*s + 2361. Calculate f(-76).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/2 of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 4:30 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3740\/(-88)*(0 + -1 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 - (3\/6 - 4). Suppose f*k + 65 = 3*u - 954, 5*u = 2*k + 1689. List the prime factors of u.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16135645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1170 and 127\/31544550?\nAnswer: 410079150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*m**2 + 322*m - 322*m + 1854*m**2.\nAnswer: 2033*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*4\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-271193)\/(-26) + -5)\/(1\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2947.\nAnswer: 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, -31, -242, -683, -1432, -2567?\nAnswer: -4166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 11*m - 16*m + 20 = 0, 4*b + 8 = 2*m. Suppose b + 0 = -j. Solve -4*q - 3*u = 2*u + 21, j = -4*q - 4*u - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 145, 573, 1285, 2281, 3561, 5125?\n\"Answer: 142*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/8)*f)\/f*f\/f**(-15) assuming f is positive.\nAnswer: f**(133\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208302910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3\/2 - 21*o**2\/2 + 67*o - 132 = 0. What is o?\nAnswer: 4, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2350223 and 4984?\nAnswer: 131612488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g + 29. Let k(j) = 6*j + 31. Give -3*k(z) + 4*n(z).\nAnswer: 2*z + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 10*m = 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2, 42\/13, 0.151, -20 in decreasing order.\nAnswer: 42\/13, 0.2, 0.151, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*l - 66326 = 1456*l + 2467*l - 12341 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 22*w + 19*w - 1 + 1 + w + (-1 + 2 + 1)*(3*w - 3*w - 2*w) as r + o*w and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7407942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.014 and 0.3.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 8:25 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -1)*(-10)\/(-55). Let j = 423 + -423.08. What is the smallest value in t, j, 3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 228*q - 1821. Let c be k(8). Sort -4, c, -23, -2 in decreasing order.\nAnswer: c, -2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 107244677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 123 = q + 2*q, 0 = -5*q + y + 205. What is the second derivative of -8*m**4 - 11*m + q - 41 wrt m?\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 5*s**2 + s**2)*(-3*s - s + 6*s) + 493*s**3 - 18 + 18.\nAnswer: 489*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/(-11)*58\/2. Let q be 40\/(-2) + (-2 - -1). Let l = q - s. Calculate the greatest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)\/o*o*o**(-1)*o)**(-13\/8) assuming o is positive.\nAnswer: o**(91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + l - 3. Let j be x(-2). Let r be 3*(480\/j + 0). Calculate the remainder when ((-15)\/(-4))\/((-24)\/r) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48634 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/29 (b) 0.3 (c) 8 (d) -0.0675 (e) -4 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)\/(a\/(a*a\/(a\/(a\/a**(-1\/2)))*a)))\/((((a*a**10)\/a)\/a)\/(a*a**(-2\/21))) assuming a is positive.\nAnswer: a**(-571\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**7\/490 - y**6\/28 + 13*y**5\/140 + 15*y**4\/14 + 18*y**3\/7 - 4*y**2. Solve c(q) = 0 for q.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1, 2\/9, -703\/47?\nAnswer: -703\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64736672 divided by -8.\nAnswer: -8092084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112510435 - -2?\nAnswer: 112510441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/32, 22651, 1\/4 in ascending order.\nAnswer: 3\/32, 1\/4, 22651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, w: 3, o: 1, v: 3, y: 2, z: 1}. What is prob of sequence yy?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -9 (c) 1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103619117*j**3 + 1443*j + 52842?\nAnswer: -621714702*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 22514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -3\/7, -88, 3, 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433661.\nAnswer: 3, 17, 28111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336823*253.\nAnswer: -85216219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgggghzhrggrnghz. Give prob of picking 1 n and 2 z.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 23*x**2 + 3*x + 3. Let l be z(-1). Suppose l*n - 18*n - 610 = 0. Does 26 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14320304 - 1122?\nAnswer: 14314132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210 (base 12) to base 9.\nAnswer: 5133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155 - 83 - l**2 + 2*l + 30 - 347 - 311 - 260.\nAnswer: -l**2 + 2*l - 816","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(1\/4)*w**(-3\/2)*w**(-4)*(((w*w*w\/(w*w*w**(-2))*w)\/w)\/w)\/w assuming w is positive.\nAnswer: w**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37809106?\nAnswer: 2, 1409, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.57 (b) -4360 (c) 16\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4520, -3.1, 3, 4, 19.6?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 3*t - 13. Let p be 7*(6 + -10 + 5). Does 6 divide c(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**5\/30 - y**2. Let c(b) = 96*b - 2 - 95*b + 3. Let l(q) = -4*q + 3. Let m(z) = 3*c(z) - l(z). What is a(m(f))?\nAnswer: -98*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 3)*(-32 - 33 + 12)*(0 + l + 0) + 3*l - 2*l + 0*l + 0*l + l + l + (3 - 1 - 1)*(2*l + 0 + 0) + l + 2*l - l + 4 - 2*l - 4.\nAnswer: -101*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*r**3 - 14*r**2 + 1775*r.\nAnswer: -96*r - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 1. Let l(u) = 4*u**3 - u**2 - 4. Calculate 3*a(f) - l(f).\nAnswer: -f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27769318 is divided by 2314109.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 2.3, -4.\nAnswer: -4, 3\/5, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16318*w**3 - 13965*w**3 + 11655*w**3.\nAnswer: -18628*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.25 + 0.25. Let q = -1 + 1.1. What is the closest to q in 0.3, -2, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4099 is divided by 559.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2088?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 100811052 a multiple of 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4183976 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1751330*m + 1268?\nAnswer: 1751330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.976*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 766*v - 382. Is r(4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 6:54 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -37\/2, -0.129, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 10*u = 1976. What is the smallest common multiple of u and 143?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 925\nAnswer: -277.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**10*q)**49\/(q**(-19)*q**(-1\/13)) assuming q is positive.\nAnswer: q**(7892\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/((-90)\/8))\/(92\/(-10))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13399, 13397, 13395, 13393?\nAnswer: 13391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*k = 4*i + 130*k + 10, 0 = -4*i + 2*k - 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19410 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 10) to base 5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:24 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5262263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 45736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r = -45*r - 14. Solve 3*v - r = -17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19564296 or 19564333?\nAnswer: 19564296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 456320050 rounded to the nearest 1000000?\nAnswer: 456000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppssvasdppes. What is prob of picking 1 e, 1 s, 1 a, and 1 d?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 580295966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 1)*(0*v**2 + 3*v**2 - v**2) + 3 + 2*v**2 - 3 + 1 + 6 - 10 + 23*v**2 as f*v + y + o*v**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8\/14*(2604\/216)\/31\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.74 + 0.06. Let o = f - 3.73. What is the biggest value in 5, o, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 1928785*q + 17358660.\nAnswer: 5*(q + 9)*(q + 385748)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13169, 9\/7, -0.1, -6, -3\/8?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5\/19, 7, -2\/3?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21696 is divided by 605?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 225*o**2 + 13*o - 3.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 314035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1944521*s**3 - 6327769*s**2 wrt s.\nAnswer: -11667126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.7, 6\/7, 1, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (38\/(-4))\/(19\/646). Let u = -318 - b. Solve u*r - 25 = 0, 2*r = v + 4*r - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 903017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3)\/(-6)*2*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 + 2433 - 2433 - 5*g**2. Let l(q) = -21*q**2. Calculate i(l(d)).\nAnswer: -882*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2702 + 4?\nAnswer: -26cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 9:29 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muku when four letters picked without replacement from uuuumukuymyuuyy?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5020368 (base 9) to base 15\nAnswer: -37b472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h + h = 560. Suppose -7*z + 6*z + 410 = 0. Calculate the highest common factor of z and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/4 and 27\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 13. Suppose 12 = 8*j - s*j. Let m = j + 39. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51 in 0.5, -0.5, -0.1, 3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 c, 1 b, and 1 v when four letters picked without replacement from vbzzvzvbcvvvcvvz?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Suppose 151*t - 924 = -80*t. Put -25, t, j in decreasing order.\nAnswer: t, j, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y - 456. Calculate k(16).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 48\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 6. Let v be d(-6). Let o be (v - -2)*(-2 + 43). Suppose -3*y + 5*g = -o, 0 = 4*y + 3*g - 6*g - 102. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 16*o + 23*o = 15*o. Are o and -8\/1767 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.44 + -1.3. Let k = 0.36 + v. Let f be (-10)\/8*(-2)\/(-5). Which is the closest to f? (a) 2 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 996.2775 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12054 + 3?\nAnswer: -12051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/17 - 482*c**3\/17 - 7182*c**2\/17 + 10530*c\/17 + 2700 = 0. Calculate c.\nAnswer: -15, -2, 3, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 200 in -5, 0.062, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/37))**(2\/5))**(-46) assuming m is positive.\nAnswer: m**(-644\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w = -18. Suppose -37 + 133 = 4*r. Calculate the greatest common factor of r and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/9)\/(28\/18*(-846)\/(-2961))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108 or 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -836, -1657, -2476, -3293, -4108?\nAnswer: -4921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/5*(-1 - -4). Let y(c) = -9*c + 2 + o*c**2 - 13*c - 5*c**2 - 17. Let s be y(-10). Solve -5*v = -4*v + 3*m - 4, -s*m - 8 = -2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 18*y**2 + 119*y + 156. Let j be a(-8). Calculate the highest common divisor of 623 and j.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464 = 49*m + 271 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23581203 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 231*s**2 + 16*s - 458*s**2 + 2.\nAnswer: -689*s**2 + 16*s - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-7)\/192)*(-42)\/(-12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, 22, 34, 50, 70, 94?\n\"Answer: 2*w**2 + 2*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24635644 or -73906933\/3?\nAnswer: -73906933\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 110912 + 148908 = -3*k, -2*p - 86608 = k. Round k to the nearest one thousand.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64.29751l?\nAnswer: 64297.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 125, 146, 187, 254, 353, 490, 671?\nAnswer: 902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from voyeveooeyeysvevev. What is prob of sequence eyeo?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:52 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.5, -0.3, 14.53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.02. Let g = v + 0. Let n = 0.01975 + g. Round n to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*375.4.\nAnswer: -1126.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 7:40 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4\/12)\/(((-45)\/108)\/(-5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 11\/8, -2\/15.\nAnswer: -0.4, -2\/15, 11\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 9:35 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 2 + 65. Let v = 26 + n. Let k be 14\/49 + 12\/7. Solve o = -v*w, 3*w + 6 = -k*o - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 61. Let v = -1752 + 1757. Solve 6*c - 2*c = -4*p - g, -p - v*c = 27 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20733806 from -3.\nAnswer: 20733803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in -76\/3, 2\/11, 5, 3\/5, 1\/6?\nAnswer: -76\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 877.99248ms in days?\nAnswer: 0.00001016195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25882 - 10456. Let s = j - 308451\/20. What is the common denominator of s and 81\/104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2 + 540*p - 536 = 0. Calculate p.\nAnswer: 1, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*f + 6 = -0*y, -5*y - 2*f = -11. Suppose 5*l = -y*w + 102, 0 = 5*w - 2*w - 2*l - 123. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -7. Suppose m*k - 4 = 11. Let 0*i**k - 4\/9*i**2 + 2\/9*i**5 - 2\/9*i + 4\/9*i**4 + 0 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3 - 18914*p**2 - 1331330*p - 23341150 = 0 for p.\nAnswer: -35, 9527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f + 27*f + 560 = -27*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1852 is divided by 854?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3069\/59 - -52. Let h = 64\/295 + d. What is the third biggest value in -2, h, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 6*m - 3. Let i(j) = -2*j**3 - 47*j**2 - 27*j - 97. Let n be i(-23). Let p be z(n). Solve 4\/3*x**4 + 8\/3*x**3 - 16\/3*x**p - 8\/3*x + 4 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 569 (base 15) to base 12\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 6:33 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104258.\nAnswer: 2, 7, 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34599336 to the nearest integer?\nAnswer: 5882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 16*i - 2*i)*(i - i + i**2) + 4*i**3 - 2*i**3 + 0*i**3 + 807 - 807 - 234*i**3.\nAnswer: -216*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**8\/20160 - o**7\/630 + o**6\/120 + o**5\/30 - 3*o**2. Let q(l) be the third derivative of a(l). Is 13 a factor of q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 12 + 15 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-15)*(45\/240)\/(16\/(-128))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + -4 - 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2*w - 85, -w = -3*y - 3*w + 47. Let t = y + -37\/2. Let m = -9.28 - -9.18. Put t, -1\/9, m in ascending order.\nAnswer: -1\/9, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*(sqrt(147)*1)**2 - 2*(sqrt(147) + sqrt(147) + ((-3 + sqrt(147)*-1)**2 - sqrt(147)) - sqrt(147)).\nAnswer: -896 - 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**1*p)\/p))**0)**(-48)*(p**(-2\/7))**49*(p**(2\/7))**(1\/8) assuming p is positive.\nAnswer: p**(-391\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 437\/7. Let v = -18 - -22. Let d = 0.074 + 0.026. What is the nearest to 3\/2 in v, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21168 and 28518.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985204451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4*y + 1 = 0, -5 = -47*w + 49*w + 5*y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(315\/525)\/((-6)\/(-160)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 405264 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1420002467 to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -563*h + 565*h - 20654. List the prime factors of h.\nAnswer: 23, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 23. Solve -5*v = h*w + 41, 6*v + 31 = 3*v - 4*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 0.6, 4, -112, 0.07?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 5*u**2 + 5*u - 7. Let z be n(-5). Let i be -3 + 6 + 92\/z. Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 12, 0.9, 5, 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooepoepeeeopeee. Give prob of picking 3 p.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1964094384 to the nearest integer?\nAnswer: 44318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 12 = d. Let g = -60029\/18 + 3334. Calculate the common denominator of (d\/15)\/((-16)\/910) and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*o - 4*c - 35, -2*o = -2*c + 10. Suppose 0*d - 2*d = 10. Let v = d - o. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:22 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31326491 + -2?\nAnswer: -31326493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -74.21*0.1\nAnswer: -7.421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/48 + (-9993)\/(-48). Let g = -1004 + 2145. Let r = w + g. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 3*y + 2. Let p be o(3). Calculate the lowest common multiple of -20*((-5)\/2 + p) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = k - 2 - 5, 0 = -2*m + 6. Sort -21, k, -4 in increasing order.\nAnswer: -21, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + -7 + (36 - 2). Suppose x*v - 36*v - 14 = 0. Let l(a) = a - 3. Let m be l(0). Sort m, 1, v in descending order.\nAnswer: 1, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - s**2 - s + 330. Let w be o(0). Let u be 177\/w + (-2)\/4. Is 0 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (111243\/117985)\/(3\/(-7)).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**3\/3 - 118. Let u(t) = 50*t - 1. Give u(k(z)).\nAnswer: -50*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5129549 and -16.\nAnswer: -82072784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59090 (base 13) to base 15.\nAnswer: -33315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**4\/12 - 7*x**3\/6 - 2*x**2 - 7*x. Calculate o(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 427248 and 4266?\nAnswer: 33752592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7181269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(8\/(-46))*(-20)\/2. What is the highest common factor of 46 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13 + (-435)\/(-35))*14\/(-68). Let g = -0.01 + 2.01. Which is the nearest to 0.1? (a) p (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37993, -37903, -37749, -37531, -37249, -36903, -36493?\nAnswer: -36019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {b: 4, p: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*p + 509606 = 503878 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(171) + sqrt(171))\/sqrt(9) - (0 + sqrt(1900))**2).\nAnswer: 9500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0264 - -0.0469. Let m = o + -0.0203871. Round m to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1972730*k**2 - 3662104 wrt k.\nAnswer: 3945460*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 5*n**2 + 9*n**2 - 30*n**2 + 13*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**3 - 14639318*y**2 + 14639318*y**2.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 3*z**2 + 4*z - 2. Let f be h(5). Let x be (f\/(-4))\/((-4)\/(2\/(-1))). Solve 20 + 0 = x*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353489540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27304668 to the power of 1\/3, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843207 is divided by 421455.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33039 or 33037?\nAnswer: 33037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 6*i**3 + 3*i**2 + 3*i**3 - i - i**2 in the form g*i**2 + z + j*i**3 + r*i and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**2 - 65*t - 1150 = 0.\nAnswer: -10, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = -0*q + 3804. Suppose -2049 - q = 13*w. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3780\/(-8 + -12)*6\/21?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 299 - 161. Suppose -2*k - 3*j - j + f = 0, -3*j + 9 = 0. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1119330 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28990, 57963, 86936?\n\"Answer: 28973*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26 - 21*j**3 + 14 - 23*j**4 + 20*j**4 - 39*j - 45*j**2.\nAnswer: -3*(j + 1)**3*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 7. Let o(r) = -1. Let h(u) = 4*o(u) - y(u). Let g be h(13). Let -3 + 0*v**2 - v**g + 2*v**2 + 1 + v = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86552 divided by -698.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678978?\nAnswer: 2, 3, 67, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 5*l**2 + 76*l + 26*l.\nAnswer: -2*l**2 + 102*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, a: 1, t: 8}. Give prob of picking 2 m and 1 t.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 42224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(147) + -1 - (sqrt(147)*-2 + 0 - sqrt(147)) - (sqrt(108)*-3 - (0 + (sqrt(3) - (sqrt(3) + 0)))))**2.\nAnswer: -276*sqrt(3) + 6357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 4. Let r be z(2). Let y(l) = 58*l**2 + 14*l + 5. Let a(b) = 1. Let i(m) = r*y(m) + 14*a(m). What is the second derivative of i(k) wrt k?\nAnswer: -232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 28178.8 meters?\nAnswer: 28178800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2805894?\nAnswer: 2, 3, 7, 13, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-133) - (-20)\/95?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*q + 20*q - 51*q - 56*q.\nAnswer: -133*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.16 or 33?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3471030431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 11312?\nAnswer: -11311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 201 + -194. Let t(n) = -n - 2*n + s*n. Let u(j) = 4*j + 0 + 0. Calculate u(t(z)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 474*f**2 - 9*f + 10. Suppose 222 = -6*o + 228. What is the tens digit of u(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t + 0*t - 3*t. Let f(q) = -6*q. Let k = -82 + 79. What is k*j(o) - f(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6344 > -10894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3908 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 5*n - 30 = -k, -4*k + 3*n = -35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1\/8, -6\/257, -0.3 in descending order.\nAnswer: 2\/5, 1\/8, -6\/257, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 9. Let m be p(10). Let o be m*(-2 + 3 - -20). Suppose -1 - 4 = 5*l, -5*w + l = -o. Solve -6 - 6 = -3*v, -3*a - w*v = -7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*s**3 - s**2 + 139*s**3 + 140*s**3.\nAnswer: 42*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*o = -22, -o - 4*o + 20 = 0. Calculate the remainder when (-15)\/(-10)*(-16)\/(-6) is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -86.0278. Let x = y - 302.9722. Let g = -303.000578 - x. What is g rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*l - 28*l - 10*l + 50 - 326 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/12)\/((-2)\/8). Let d be (0\/1)\/(5 + v). Suppose -9 + d = -3*g. Calculate the greatest common factor of g and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -87, -109 in decreasing order.\nAnswer: 6, -87, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 3*v - 0*q - 20, -4*q = -v - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 120200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*j - 2 + 2)*(-3*j - 3*j + 4*j) + 0 + j**2 + 0 + 4*j**2 - 2*j**2 - j**2)*(845*j + 1016*j + 762*j) in the form a*j + l*j**2 + i + x*j**3 and give x.\nAnswer: 15738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 5*x**2 - 8*x + 2. Suppose -5*j - 2*f = -43, -1 = 3*j + 3*f - 34. Let n be w(j). Let o = n - 29. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -16*g + 8. Let f be s(3). Let p = f - -48. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - 61. Round v to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 + 46703*f + 326965. Give w(-7).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, r: 1, m: 5, l: 1, w: 2}. Give prob of picking 1 w and 1 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152 - -351. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1761 = -91*o - 132*o + 2253 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - g. Suppose -42 = -5*t + 3. Suppose 2*a - 1 = 4*i - t, 5*i = 5. Let w(k) = -110*k - 5 + 110*k + k**2 + 4. What is a*w(z) - l(z)?\nAnswer: -z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.48*-28\nAnswer: 41.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 3:00 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381, 886, 1549, 2376, 3373, 4546, 5901?\nAnswer: 7444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1932 + -0.0428. Which is bigger: f or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/63)\/(((-45)\/2)\/(-9))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 159*t**2 - 97*t - 193. Is 13 a factor of i(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2718 = 14*p - 5*p. Let u be (-889)\/3 + 7\/14. Let l = p - u. Find the common denominator of l and 53\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31585 + -14503. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13351125193 + 6*s - 13351125193.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.99 + -605722933897.\nAnswer: -605722933897.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**4\/8 + 3*b**3\/2 - 2*b**2. Let o be -1*-4*(3 + -2). Let r be p(o). Let a(t) = t + 3. Give a(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/21 + 16*v**3\/21 - 2*v**2\/21 - 16*v\/21.\nAnswer: 2*v*(v - 1)*(v + 1)*(v + 8)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 5*w + 6. Let i be j(-6). Let a = 3 + i. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((((k\/k**(-1\/9))\/k*k)\/k)\/k*k))\/k**(-21)*k**(-6\/19)\/((k*k**(10\/3)*k*k)\/k*k*k) assuming k is positive.\nAnswer: k**(2435\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus -1.6?\nAnswer: 1.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**3 + 17*j**2 + 9*j + 8. Let g be ((-18)\/15)\/(4\/80). Let s be (3*4\/g)\/((-10)\/40). Let m(x) = x**3 - 4*x**2 - 2*x - 2. What is s*u(h) + 9*m(h)?\nAnswer: h**3 - 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0541696*0.7\nAnswer: -0.03791872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20, 30, 38, 44, 48, 50?\n\"Answer: -q**2 + 13*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-66) + (-108)\/(-11). Let k = -88 - -186. What is the units digit of (-6)\/r + k\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003546904873 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6\/5, 1, 2.1, 0.2, -3\/2, 0.5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673643369 rounded to the nearest 10000?\nAnswer: 1673640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 14*n + 3. Let k be z(-14). Let u be 2\/3 + (-12)\/(-9). Find the first derivative of -k - r + r + u*r + 0*r wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.732 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41387863 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n - 8 = 0. Calculate the remainder when 29 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9719, -38909, -87559, -155669, -243239, -350269?\nAnswer: -476759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131 + 127. Let s = 0.1 + 0.1. Let u be ((-25)\/75)\/((-7)\/3). What is the smallest value in -7, u, s, d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48657 (base 10) to base 15.\nAnswer: -e63c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (539614\/413)\/(((-3)\/7)\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -14 + (-13 - -17)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/7))\/p*p)**48 assuming p is positive.\nAnswer: p**(288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 - -35. Suppose 6*v = 17*v + n. Let r(y) = -y**3 - 15*y**2 - 27*y - 1. Let x be r(v). Is 12 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 2. Let k = 4 - 10. Let c be s(k). What is c rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107981798 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 188, 202, 216, 230?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 0*c - 966 = 2*c, -5*b = 5*c - 225. Solve b = -n + 7*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*j - 119 - 76 + 195 + 510*j.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62 and 12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 19 + 4)*(4*f**3 - 4*f**3 - 5*f**4) + f - f - 2*f**4.\nAnswer: 148*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 2, -52618 in decreasing order.\nAnswer: 4, 2, 0, -52618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 191\/22 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 12:19 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 7*s**2 - s - 7. Let d be m(-7). Suppose d*h + 5*h = 170. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 6*b + 4. Let d be o(3). Let g = 7 + d. Suppose -3*k + r = -196, 3*r + 5 = -g*r. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83*q**4 + 3*q**2 - 75 wrt q?\nAnswer: 332*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9393 - 9384.17. Let f = -0.1 + 9. Let c = f - j. Do c and -0.01 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -125*q - 62. Let b(o) = 41*o + 24. Give -8*b(j) - 3*k(j).\nAnswer: 47*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/20 + 1316\/10. Let w be (-1)\/(-1) + 12\/4. Let k(v) = v**3 - 4*v**2 + 4*v - 4. Let c be k(w). Calculate the greatest common divisor of c and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 50*t**2 + 160*t - 160.\nAnswer: 5*(t - 4)**2*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + c - 28 = 0, -26 = -d - 4*c - 24 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x - 37060 = 347*x + 50*x for x.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33300)\/240)\/15*(16\/8)\/(-2).\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 - 15*j**4 - 26*j**3 + 2*j**2 + 27*j + 13.\nAnswer: -(j - 1)*(j + 1)**3*(j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 100555 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -75. Suppose 3*h + 0*h + 2*a = i, -82 = -5*h + a. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u + 5*u + 4*u**2 + (4*u - 3*u + u)*(-1 + u + 1) + (9 - 9 - 4*u)*(0*u + 0*u + 2*u) + (-2*u + 0 + 0)*(2*u - 1 + 1).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 - (-1 + -3 + 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 16 - 2 = 6*l + 7*x - 0 + 21 - 5, -3*x = 30 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w. Let q(g) = -g**2 + 1518*g - 2. What is q(a(t))?\nAnswer: -t**2 - 1518*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*58\/(-6))\/((-1851)\/(-2468)*(-48)\/(-54))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 350843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5342 + -37391\/7. What is the second biggest value in -1, -1\/2, -11.6, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*v**3 + 40*v**3 - 265*v**3 + 137*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -38496019.\nAnswer: 2\/38496019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxx when three letters picked without replacement from {s: 6, x: 2, k: 7}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46 * -0.1.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 5*v**2 - 12*v - 15. List the prime factors of r(8).\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 5*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62881 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, m: 3, u: 4}. What is prob of sequence muml?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 14. Suppose -t*b + 22 = 2. Is (-204)\/18*(-30)\/b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u + 8. Let w(p) = 12*p - 15. Calculate 9*q(l) + 4*w(l).\nAnswer: -15*l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + 1 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a369 (base 16) in base 7?\nAnswer: 232651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 68?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, e: 2, w: 10, v: 1}. Give prob of picking 1 e and 1 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o*o**(-3)*o*o)\/o)\/o)\/o)\/o*o*o*o**(-3)\/o)**47 assuming o is positive.\nAnswer: o**(-282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/7))**(9\/13))**(3\/2))**(1\/10) assuming u is positive.\nAnswer: u**(-27\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 4:19 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 14*p + 3. Let f be v(11). Let d = -31 - f. Which is the closest to d? (a) 2 (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1299567 (base 13) to base 12\nAnswer: -1b5b923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 + 7*z**2 - z - 5. Let h be p(-5). Let f = h + 694. Differentiate 7 - 619*w + f*w + 35*w**3 wrt w.\nAnswer: 105*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*v = o + 12, -3*o - 5*v - 12 = 0. What is the tens digit of 0\/(o - -3) - (-3 - 88)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 j when four letters picked without replacement from {t: 7, j: 5}?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-425)\/(-765))\/(2\/36)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/83 - -191\/415. Factor -1\/5*l**2 - h*l + 0.\nAnswer: -l*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 13) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 - 3*w**2 - 16*w + 3. Let b(o) = -5*o**2 - 3*o + 424. Let x be b(9). Let k(m) = 5*m**3 + 8*m**2 + 49*m - 8. Give x*s(f) - 3*k(f).\nAnswer: f**3 - 19*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 14 = 3*t - 7*g, -25 = -5*t + 2*g. Solve 0 = t*i - 20 + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55425 - -24?\nAnswer: 55451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 5*z**2 - 17*z - 11. What is the least common multiple of 34 and g(-7)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181043386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -1. Let h = -248 + 241. Which is the second biggest value? (a) -1\/2 (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.26 and -0.3?\nAnswer: 1.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 9997.884?\nAnswer: -10002.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) - (-1398)\/24. Suppose 316 - z = -2*d. Is d*(55\/(-15) + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -19*h**6\/30 - 29*h**3\/6 + 5*h**2\/2 - 456*h. What is the second derivative of u(w) wrt w?\nAnswer: -228*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -12375*y**4\/4 - 12*y**3 - 11*y**2\/2 - 4*y + 11247. Find the third derivative of d(o) wrt o.\nAnswer: -74250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 198 in 0.3, -2\/11, -0.53?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8222047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*54\/27.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.6 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -229 + 292. Suppose 0 = 21*t + 42 + m. Sort -2, -3, t, 0.\nAnswer: t, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p + 3. Let o(m) = 4*m + 3. Let c(w) = 4*o(w) - 6*u(w). Let b be c(-5). Let z(a) = a**2 + 9*a + 6. Let f be z(-8). Is f > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886 is divided by 81?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f**3 - 4*f**4 - 8*f**3 + (-3*f - 2*f**2 + 3*f)*(-4*f + f**2 + 4*f).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 9 = -6*m. Solve -3 = -0*x - m*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 384121815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 11:22 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -98 - 64d5e?\nAnswer: -64e07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, u: 3, l: 11, r: 1}. What is prob of picking 4 q?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 + 13702*h - 313034. Give j(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -263*b**2 - 1042*b**2 - 736*b**2 + 286*b**2 to w*b**2 + f + s*b and give w.\nAnswer: -1755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 4*x - 19, 4 = -2*x + 3*x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/638424 and -69\/26.\nAnswer: 8299512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 4 = 4*f, 2*h + 10 = 2*f. Let t = 31 - h. Suppose 5*y + 4*b - t = 0, 3*y - 37 = -b - 10. Is 10 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2 - 8748*c - 26235 = 0. Calculate c.\nAnswer: -8745, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1862) + -4*sqrt(1862)*3 - sqrt(1862))\/((sqrt(1152)*6)\/sqrt(9)).\nAnswer: -7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 16*r - 11*r. Let c = 143 - r. What is the remainder when c is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10908, -43585, -98018, -174207?\nAnswer: -272152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3540138 divided by -8157.\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 2:26 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 0. Let j = -35.614 - -36.1. Let l = 4.514 + j. Which is the third biggest value? (a) -1 (b) g (c) l (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -349 - -2439\/7. Which is the nearest to -0.2? (a) -0.2 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3437 - 0.3437. Let d = -168 - -1174\/7. Which is the nearest to d? (a) -0.3 (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 1 + 3 + (sqrt(99) - (sqrt(99)*-2 + 2)))**2 + -4.\nAnswer: 48*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -12*r**4 + 7228*r**3 + 738376*r**2 + 17375120*r - 5874016 = 0.\nAnswer: -46, 1\/3, 694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*222\/185?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-1\/5)*p*p*p))\/p)**(-32)*((p**(1\/4)*p)\/p)**(-4\/13) assuming p is positive.\nAnswer: p**(7899\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 19 - (-1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 64.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -142, -19?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i = 36*i - 4*i + 534 for i.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129 - -257. Suppose c = -c + o. Let p(q) = q**2 + q - 4. Let v be p(-5). Calculate the highest common divisor of c and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3*1*1134\/84)\/(-3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791 = -14*z - 1323. Let q = -146 - z. Solve -5*r = -4*w + 24, -q*w + 2*r = -10*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -1 + -3 + 6. Let p(l) = l**2 - 3*l - 5. Let x(a) = 2*a**2 - 6*a - 10. Suppose 4*n - 3 = -23. Let b(r) = n*p(r) + 2*x(r). Give b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 579*p**2 - 400*p - 414747 wrt p.\nAnswer: 1158*p - 400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*a - 6117 - 10676 = 4960 - 639 for a.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 4)\/(3\/(-6)*4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/507 at most -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -3*y + 28*d - 30*d, 0 = 2*y + d + 19 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4.525859 * 8\nAnswer: -36.206872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-7 - (1 + (-3 - -1))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -149870, -149886, -149922, -149984, -150078, -150210?\n\"Answer: -m**3 - 4*m**2 + 3*m - 149868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2. Let a(u) = 813*u**2 + 20*u + 8. Let o(f) = 815*f**2 + 24*f + 10. Let q(r) = -6*a(r) + 5*o(r). Give q(j(n)).\nAnswer: -803*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, b: 12, x: 4}. What is prob of sequence gg?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3826455 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014420679 to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**5 + 345*c**4 - 5600*c**3 + 14460*c**2 - 9200*c = 0 for c.\nAnswer: 0, 1, 2, 20, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 792271766 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19930*w**3 - 993*w**3 - 12*w + 12*w.\nAnswer: 18937*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, -1, 4, -4, -12.\nAnswer: -12, -5, -4, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.235536 nanometers to micrometers.\nAnswer: 0.005235536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18 - (-747)\/81. Suppose 0*d - j = 3*d. Let q be 0 - (8\/d + 2). Which is the nearest to -2? (a) -5\/4 (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/13)\/g)\/g*g*g**(-11) assuming g is positive.\nAnswer: g**(-154\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w + 0*w + 15 + 9*w. Let d be m(-5). Is 11\/(((-15)\/6)\/d) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132.1 + 132.192. What is the smallest value in z, 1\/5, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225705744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1.12 (b) 0 (c) 0.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4223506?\nAnswer: 1\/4223506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1245*n**3 + 19*n**3 - 1167*n**3.\nAnswer: -2393*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 27, 2\/9, 1359, -3, -0.05 in increasing order.\nAnswer: -3, -0.05, 2\/9, 4, 27, 1359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -5954b4?\nAnswer: -5954b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/2)*z\/(z**(-3)\/z)*z**(1\/10)\/(z\/(z*(z*z**(1\/3)*z)\/z)) assuming z is positive.\nAnswer: z**(74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 358?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 51, 76, 99, 120, 139, 156, 171?\n\"Answer: -t**2 + 28*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-5 - -2) - 5 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -901, -2909, -6787, -13159?\nAnswer: -22649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 576 = 616 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1133214410 - 321?\nAnswer: -1133220231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t)**28*t**(-4)\/(t**(4\/7)*t)*(t\/t**(-2\/5))**19\/(t*t**(1\/3)\/t*t**(3\/2)) assuming t is positive.\nAnswer: t**(-1849\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*i + 93, -i + 52 + 200 = 5*q. What is the smallest common multiple of 27 and q?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6)*1)\/(1\/(-105)). Let r = l - 17. Calculate the remainder when 34 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 1\/146416?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v + 11. Suppose -5*t = 2*q - 7, 0 = -0*q - 2*q + 2*t - 28. What are the prime factors of g(q)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825738 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*s - 125 = 4*d, -d = -5*s + 9. Let u = d + 54. Let m = -257 - -259. Solve -7*y = -m*y - u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3916.231 micrograms in tonnes?\nAnswer: 0.000000003916231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0 - (31 - 26)) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r. Let w(i) = -2*i. Let g(d) = -5*d. Let k(q) = 2*g(q) + 4*w(q). Calculate h(k(y)).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 41.23 * -8\nAnswer: -329.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.3, -231\/4.\nAnswer: -231\/4, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-14) - 1060\/(-70). Which is bigger: 14 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 6*o + 5. Give b(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**2 + 0*b**2 - 4*b**2)*(-5 + 5*b + 5) + 76*b**3 + 18*b**2 - 24*b**2 + 6*b**2 to the form l*b**3 + g*b**2 + t*b + m and give l.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 5\/2*n**2 - 178 + 0*n**3 - 5\/12*n**4 - n. Determine m so that g(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = 40*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48\/21 + -3*(-4)\/(-42). Solve 3*y - 14 = -c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2548*f + 2552. Calculate o(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**4\/72 - 29*w**3\/12 + 83*w**2\/3 - w - 1960. Solve a(b) = 0.\nAnswer: 4, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227819266 to the nearest integer?\nAnswer: 15094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 3*s**3 + 3*s**3 - 4*s**3 + 7*s**2 - 66*s + 72*s. Differentiate b(k) with respect to k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3464, -27735, -93632, -221969, -433560, -749219, -1189760?\n\"Answer: -3469*q**3 + q**2 + 9*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 15. Let d be (-4)\/(-4)*3 + k. Suppose d*h = 4*h + 25. Solve -1 = -o - h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 18*h**2 - 19*h - 11. Let s be f(16). Let p = -14 + s. Let k = 256 - p. What are the prime factors of k?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c + 10, -2*c = -2*b + 14. Suppose 0 = -3*z + 6*z - 3*j - 174, b*j = -2*z + 102. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/(-84))\/((-1034)\/141)?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 3, 5, -2, -4\/5 in descending order.\nAnswer: 5, 3, 2\/15, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**3*w**2 - 23*r**3 - 126*r**2*w**2 - 4*r*w wrt w?\nAnswer: -6*r**3 - 252*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 4*x**2 - 5*x + 2. Let g be y(5). Suppose -3*l + 14 = -n - 123, -g*l + 87 = -5*n. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2802 - 2803. What is the second smallest value in 8, s, -5, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - k**2 - k + 2*k**2. Let n be p(-1). Suppose 899*b = 921*b - 462. What is the greatest common factor of b and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2*u + u + (3 - 2 + 1)*(-3 + 3 + 2*u) - 2*u + u + 3*u + 0*u + u + 2*u - 30 - 1 - 9 - 2*u)*(0*u + 0*u + u**2).\nAnswer: 8*u**3 - 40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 14 + 4*b**3 + 0*b**3. Let y(g) = -2*g**3 - 5. Let p(j) = -9*j**2 - 44*j + 2. Let w be p(-5). Determine w*k(c) - 8*y(c).\nAnswer: c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5041691 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**4\/6 + 2*h**2 - 3. Let y(k) = k. Calculate 6*y(q) + z(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 116773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let s(z) be the first derivative of -8 + 73\/2*z**2 + 6*z. Is s(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 2*p**2 + 2*p + 3. Let x be c(-3). Let y be (2 - -13)*9\/27*(-96)\/(-15). What is the tens digit of (-87)\/4*y\/x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((19 - 0) + -24 + 20)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 395+0.5485\nAnswer: 395.5485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v + 158 + 165 = -3*o - 192, 0 = -v - 0*v + 3*o + 19 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (-1 + sqrt(19))**2.\nAnswer: -2*sqrt(19) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 162, 2, 3.\nAnswer: 1, 2, 3, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1037 (b) 0.4 (c) -1\/4 (d) -6\/11 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*h**3 + 48*h**3 + 2*h**2 - 59*h**3 + 1 to the form t + z*h + v*h**3 + m*h**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 66891281 less than 42?\nAnswer: -66891239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-36) + 57\/27*2. Suppose -5*g = -u*g - 205. List the prime factors of g.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y**3\/5 - 844*y**2\/5 - 72336*y\/5 + 20736\/5 = 0.\nAnswer: -48, 2\/7, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 7*l**4\/4 - l**3\/6 + 8*l**2 - 69*l. What is the units digit of x(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11123 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -3, -5, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (7 - 6) + -17\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + 6. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2118731, 3 in decreasing order.\nAnswer: 2118731, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a - 21. Let h be g(-6). Let l = -78 - h. Let i = 0 - -4. Calculate the remainder when l is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*sqrt(140) - sqrt(140))\/(sqrt(21)\/(sqrt(3)*1)))**2 + 3.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a + 3 - 7*a - 2*a + 0*a. Let t(m) = 2*m**3 - 12*m**2 - m + 1. Let b be t(0). Let s(j) = j + 1. What is b*s(w) - c(w)?\nAnswer: 5*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 792 - 14*p - 792)*(14*p**3 + 129*p - 129*p + (1 - 2*p - 1)*(-4*p**2 - p**2 + 4*p**2)).\nAnswer: -48*p**5 - 224*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -305 in decreasing order.\nAnswer: 11, -3, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -51?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 241.49 - -0.51. Let n = 252.7 - b. Round n to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + (-450)\/60)\/(-1 + 18\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5559 or 0.035?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.39+1786385670\nAnswer: 1786385669.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25744 is divided by 8572?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3725070 rounded to the nearest 10000?\nAnswer: 3730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-99)\/(-105) - 1). Is 4 a factor of 2\/10 - 483\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*k + 1103 + 819 + 402 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/144 and -89\/66?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k + 53. Let r be n(10). Let t(o) = 5*o - 3. What is t(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4, -4*y + 826 = -4*x - 982. What is the remainder when y is divided by 133?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 0*v**2 - v**2 + 5*v**2 - 2*v**2 - 4*v**2 + (-2*v**2 - v**2 + v**2)*(-2 + 5 - 2) + (-1 + 2 + 0)*(-v**2 + v**2 + v**2) - 2*v**2 + 3*v - 3*v.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -442948 divided by -4?\nAnswer: 110737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 - 409*q - 4434. What is h(-11)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407737 is divided by 9482?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -1 - (-1 - -5). Let d be 0 - (b + 2\/1). Suppose d*t - 237970 = 762030. What is t rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 37*y + 33215. Let x = y + 954. Does -27 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-5))\/8*29\/(406\/476)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7*-2*14130\/(-120)*(-250)\/(-15).\nAnswer: 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4176623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5579*b*y - b - 1723 wrt y?\nAnswer: -5579*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2036160 divided by 339360\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -77, -1\/6, 1\/2?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9738*a + 885 = 9797*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**2*u**3 + 79*n**2*u**2 - n**2*u - 46*n**2 + 31*n*u + n + 31*u**3 - u**2 + 2*u wrt n?\nAnswer: 4*u**3 + 158*u**2 - 2*u - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 33 - 13, -3*a - 5*c + 2272 = 0. List the prime factors of a.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 12 = -12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10795, -10851, -10907, -10963, -11019, -11075?\n\"Answer: -56*c - 10739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 - (-20 - 0 - 11 - -52).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.099 minus -3072951.8672?\nAnswer: 3072906.7682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - o = -11*c - 4, 15 = 2*c + 3*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 18*n**2 + 23*n - 7. Let k(z) = 6*z**2 + 8*z - 2. Let r(p) = 7*k(p) - 2*w(p). Find the second derivative of r(h) wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 387 - 162. Suppose y*f + 180 = 230*f. Calculate the lowest common multiple of f and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 6*b**2 + 5*b + 6. Let q be z(-6). Let d = 3 - q. Suppose d = k - 50. What is the highest common divisor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**4\/6 - 4*n. Let v(p) be the third derivative of 0 + p**2 + 0*p - 1\/12*p**4 + 0*p**3. Calculate v(o(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -51. Let k = -1579\/19 + 83. Is a < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4\/7 - 66*t**3\/7 + 330*t**2\/7 + 4066*t\/7 - 4332\/7 = 0?\nAnswer: -6, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.17 and -0.3.\nAnswer: 1.251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 20 = -13. Let r be b - (-1)\/2*-6. Let f be (r - 5)\/(0 - -1). Solve 5*l + 17 = -f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 18*o - 91. Let x be b(-21). Let a = -147 - x. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 5 (b) -0.2 (c) 1\/5 (d) 0.9 (e) -2\/9 (f) 104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 - 15*r**4 + 3*r**3 - 8*r**4 + (-2*r - 4*r + 4*r)*(-r**3 + 0*r**3 + 2*r**3).\nAnswer: -25*r**4 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4785216 and 12760576?\nAnswer: 38281728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + -1 - sqrt(44).\nAnswer: -1 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**4\/12 + 10*z**3 + 111*z**2\/2 - 8*z + 4. Differentiate s(x) with respect to x.\nAnswer: 2*x + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3844 + 4215. Calculate the greatest common factor of 159 and r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18648 and 224.\nAnswer: 74592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 5*p + 60. Let u = 276 + -270. Let w be m(u). Let s(r) = -13*r. Let h(q) = 77*q. Give w*h(i) - 35*s(i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -558\/7 + 2797\/35. What is the third smallest value in q, 1, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -38. Calculate the remainder when h is divided by 0 - (-2)\/(-1) - -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**4\/12 - 8*z**2. Let p(o) be the first derivative of -o**2\/2 + 4. Calculate p(m(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -580 and -249.\nAnswer: 144420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12576 in -0.3, -1, 1\/3, 0, -1\/14, -2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 4:52 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 46 = -2*a, 5*a = 3*g - 6*g + 101. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 times -18?\nAnswer: -1764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, f: 2, e: 1, a: 10}. Give prob of sequence ela.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/137275479 and -5\/4.\nAnswer: 549101916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2021.5 - -2022. Let u = -8 + 8.06. What is the closest to -1\/2 in u, 4, p, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (4 - (-126)\/(-27))\/(2\/21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119752*3.\nAnswer: 359256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f**2 - 651*f**3 + 151 - 407 + 652*f**3 + 128*f = 0.\nAnswer: 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 3*g - 68. Which is the nearest to 0? (a) -0.08 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 32 = -33. Let d = -35 + v. Let o = -20 - d. Solve 4*w + 14 = 2*p, 3*p - o*w - 3 - 10 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 23*f - 8. Let c be i(-11). Suppose -5*p - c*z = -z + 443, 0 = -p + z - 83. Let t = 136 + p. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 - (25 + -15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*u + 1 + 151*u + 156*u + 129*u + 88*u.\nAnswer: 91*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Let g = -1 - -1. What is the nearest to g in 3, o, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14. Let n(h) = h - 64. Let t(g) = -n(g) + 4*z(g). Let w(k) = 0*k - 1 - 6 + k. Give -4*t(r) - 5*w(r).\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 655474304 to the power of 1\/2, to the nearest integer?\nAnswer: 25602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673643 is divided by 327?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-54)*3*32. What is the greatest common divisor of 23872 and b?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 - 501 = -97*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/8 and -21\/33274?\nAnswer: 133096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 16*s**2. Let n(r) be the second derivative of r**5\/30 + 23*r**2\/2 + 40*r. Let u(p) be the first derivative of n(p). Give u(o(z)).\nAnswer: 512*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 9*u - 10. What is x(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.7 less than -5?\nAnswer: -123.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130.14 - 130. Let z = -8.3 + 8. Which is greater: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/1509817 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25351262 to the power of 1\/2, to the nearest integer?\nAnswer: 5035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792019?\nAnswer: 29, 31, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 2*d + 1. Calculate the remainder when (-4)\/14 + 240\/7 is divided by k(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368489 is divided by 7369.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a factor of 292027302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465925 a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-10))\/((-14)\/(-35)). Does 8 divide 100\/6 + d\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 3*r**5\/4 + 8*r**3\/3 + 3*r. Find the second derivative of x(y) wrt y.\nAnswer: 90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16336468 and 568852.\nAnswer: 1159889228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 53*h**4\/12 - h**3\/2 - 198*h**2 - h + 3. What is the derivative of z(r) wrt r?\nAnswer: 106*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8476, -67113, -226058, -535465, -1045488, -1806281, -2867998?\nAnswer: -4280793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/19)\/i)\/(i**(-2)\/i)*(i*i**(-1\/67)*i)\/i**29 assuming i is positive.\nAnswer: i**(-31643\/1273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggg. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/11*2\/(-4). Let p = -216258.9 + 216259. Which is bigger: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - w - 7*w + 190 = 3*w for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57865 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 - 4*q + 172 - 2*q - 356.\nAnswer: -6*q - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(-12 - 5*z + 12).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -72956, -145918, -218894, -291884, -364888?\n\"Answer: -7*n**2 - 72941*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58232 = -2*g + 2*v + 9958, 0 = g + v - 34091. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 + -87. Suppose -3*x + 124 = 2*n, -2*x = 5*n + u*x - 310. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*o**3 - 44*o**3 + 112*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 3, 24, 16, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24182020 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 5. Let s(w) = -w**3 - 7*w**2 - 5*w. Let r be s(-6). Let m be i(r). Let h = 39 - 157\/4. Put m, h, 0.4 in decreasing order.\nAnswer: m, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 50, 108, 166, 224?\n\"Answer: 58*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -4, -5555318 in decreasing order.\nAnswer: 0, -4, -5, -5555318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.2 (b) 2\/5 (c) -30 (d) -4\/7 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 502781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000324625 rounded to 7 decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l**2. Let s(t) = -5992 + 5992 + 3*t. Give s(f(i)).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**3 - 9*a**2 - 9*a - 7. Let d(v) = 2*v**3 + 6*v**2 + 6*v + 5. Suppose -2*o + 14 = 4. Let x(s) = o*b(s) + 7*d(s). Is x(-3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i + 3*u - 11, -5*u = -25. Let m = -0.2 - 0.3. Let d = -0.3 + -0.1. Which is the smallest value? (a) d (b) i (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/2)\/(q*((q*q**4)\/q)\/q)*(q\/q**(1\/17)*q)\/(q*q**(2\/7)) assuming q is positive.\nAnswer: q**(-201\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/3591308 and -40\/63.\nAnswer: 32321772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 381, -2, 1022, -9, 0, -1 in decreasing order.\nAnswer: 1022, 381, 0, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121140 (base 5) in base 7?\nAnswer: 206234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2185*-0.03\nAnswer: 0.006555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfgf when four letters picked without replacement from {m: 1, r: 1, g: 1, f: 2, s: 2, w: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 2. Which is greater: 10 or r?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(6\/19))**6\/((t**(-4\/7)\/t)\/t)**(-26))**(-2\/5) assuming t is positive.\nAnswer: t**(16692\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6656*f**3 - 12*f**2 + 5979*f + 4. Let g(u) = -6649*u**3 + 9*u**2 - 5980*u - 3. Let o(j) = 4*g(j) + 3*x(j). Find the second derivative of o(t) wrt t.\nAnswer: -39768*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/2 + 17*o**3\/6 - 3*o**2\/2 - 5*o\/6.\nAnswer: -o*(o - 5)*(o - 1)*(3*o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 90 = 5*j + 5*p, 0 = -3*p. Let z be ((-24)\/j)\/((-4)\/(-6)). Let g be z\/10 + (-678)\/(-15). Calculate the highest common factor of 18 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3))\/(1\/6). Let j be 2\/d - 9\/2. What is the units digit of -1 - j - (-25 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 80 + 4*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -598*s**2 + 7798*s - 7469. Determine m(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94.62 - 94.42. What is the nearest to b in 2, 0.28, -0.1?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0, 90, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Let c = 11.1 + -10.1. Let o(g) = -g**3 - 14*g**2 - 36*g - 38. Let b be o(-11). Sort c, 0, b, l in decreasing order.\nAnswer: l, c, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-86688)\/(-135))\/8 - (1 - 5). Let c = 253\/3 - w. What is the biggest value in c, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 3. Let h be n(0). Let d be ((-6)\/25)\/((-24)\/80). Which is the third biggest value? (a) d (b) h (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:03 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 172872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -69, -594, -5, -2, 3, 0 in descending order.\nAnswer: 4, 3, 0, -2, -5, -69, -594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(15\/3 - 3). Suppose 2*j - 10 + 0 = a. Suppose 11*u = -1338 + 1426. Calculate the smallest common multiple of u and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*m - 24 = -197*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**4 - o - 1. Let m(f) = -9*f**4 - 159*f**3 + 53*f**2 + 161*f - 44. Let u(v) = -m(v) - 2*t(v). Solve u(p) = 0.\nAnswer: -23, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:47 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 at least as big as 24552.77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g*k**3 - 9*g*k - 18*h*k**3 + 6*h*k**2 + 3*k**2 wrt k.\nAnswer: 6*g - 108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*s**3 + 617*s**3 - 158*s**3.\nAnswer: 537*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -654, -1179, -1646, -2049, -2382, -2639, -2814, -2901?\n\"Answer: l**3 + 23*l**2 - 601*l - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 5:26 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22933 and 62428454.\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 4:42 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:49 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-7\/5))\/(x*x\/x**(2\/61))*((x\/(x*x\/(x**(2\/81)*x)))\/x*x)\/x**24 assuming x is positive.\nAnswer: x**(-581618\/24705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 183437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 8*i + 2*i)*(-6*i + 106 - 106)*(4*i**2 + 2*i**2 - 2*i**2) as b*i**3 + u + z*i**2 + h*i + m*i**4 and give m.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 11 - 32 = 0. Let d(m) be the first derivative of -4 + 2*m + 0*m**2 - 4\/3*m**o. What is the derivative of d(p) wrt p?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 9. Let x be c(8). Suppose f - 3*v = 12, -4*v - x - 9 = -4*f. Suppose 2*z = -2*t + 14, -2*t + 14 = -f*z - 2*z. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 190588 (b) 1\/5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6*934\nAnswer: -5604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j = j + 14250. What are the prime factors of j?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Let a = -0.07 - 0.23. Let f = -14.83 - -14.83. What is the closest to p in f, a, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177640342.\nAnswer: 2, 11, 443, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 550054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -18. Let m be -2 + 0 - j*1. Solve 2*r - u - 1 = 0, -34 = -0*r - m*r - 5*u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 4. Let w be i(13). Suppose 5*d - w = 13. Is d\/(-15)*(-7 - -2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 4:54 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -36*n**5 - 116*n**4 + 228*n**3 + 1028*n**2 + 864*n + 144 = 0?\nAnswer: -3, -2, -1, -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 26. Let s = 2278\/7 - 325. Let d = 31\/60 + 3\/20. Sort -0.2, n, d, s in ascending order.\nAnswer: n, -0.2, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 293.0487ml?\nAnswer: 0.2930487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 times -0.52\nAnswer: 0.0676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 190\/836*(1*-2)\/(10\/4). Which is the biggest value? (a) 130 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/60 - p**5\/15 + p**3\/2 - 227*p**2. Let t = 7 - 5. Let g be h(t). Solve -5*y + g*a = -25, -4*y - 16 = -2*y + 4*a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-4 - -10 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56882 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1433204023 - -20?\nAnswer: -1433204003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/125?\nAnswer: 4\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174912394 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 0, 6, -4 in descending order.\nAnswer: 6, 0, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 13. Let z = -7 + q. Find the third derivative of -3*s**2 + 0*s + 0*s + s**2 + z*s**3 wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4557\/4 + 1153. Calculate the common denominator of i and 41\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 5 - 5)*(1 + 2*n - 1 + 2*n - 3*n + 0*n + (1 - 2 + 3)*(4*n - 4*n + 2*n) + 2*n + 0*n + 0*n - n + n - 2*n) - n**2 + 5*n**2 - 3*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33037, -61504, -89957, -118390, -146797, -175172, -203509, -231802?\n\"Answer: n**3 + n**2 - 28477*n - 4562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + s - 39. Is 3 - 4\/2 - s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21\/26 - -22\/13. Let m = 3 - p. Suppose -3*f + 7 = -2. Sort m, 4, f in increasing order.\nAnswer: m, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9260*c**4 + 21281*c - 21281*c)*(5 - 3 - 1)*(-4 - 3 + 4).\nAnswer: 27780*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 907*x**3 + 8*x**2 + 9*x + 1. What is i(-1)?\nAnswer: -907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 927 - 202. Suppose x = -4*u + 97. Let d = -74 - u. Calculate the remainder when d is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1818*n + 110049. Calculate f(-62).\nAnswer: -2667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(((s\/((s*(s*s**(6\/7))\/s)\/s))\/s)\/s))\/s**6*s**(4\/3)*s**(2\/13)*s)\/(s*s*s\/s**(-2)*s*s\/s**(-3)*s*((s*s*s\/s**(2\/5))\/s)**(-1\/4)) assuming s is positive.\nAnswer: s**(-13999\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 13*k + 252. Suppose -17*d - k = -19*d. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**4\/16 - 13*c**3\/2 - 507*c**2\/2 - 4394*c + 51. Factor p(n).\nAnswer: -(n + 26)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(170)\/((-4*sqrt(100))\/sqrt(10)) + 2)*-3.\nAnswer: -15 + 15*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -5, 45, 0.\nAnswer: -5, 0, 1\/8, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1\/11, 3\/7304.\nAnswer: -1\/11, 3\/7304, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 168*p**3 + 3 - 4*p**3 + 59*p**3 to d*p + v*p**2 + c*p**3 + g and give c.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6535*b + 209128. Determine d(32).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.16 - -0.96. What is m rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-488)\/(-610))\/((-42)\/(-5)) + 802\/(-42).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 222014\/4257 + 138\/473. Let v = c + -4061\/72. Find the common denominator of v and -25\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**2 - 8*t - 4. Let w(q) = -2*q. Let k(i) = -u(i) + 4*w(i). Differentiate k(l) with respect to l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 528 and 660.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 49. Let r(n) = 9*n - 2. Let l(j) = -4*j + 1. Let p(z) = 7*l(z) + 3*r(z). Let b be p(-1). Solve -y = b*w - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/20)\/6 + 29\/(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-61)\/((3 - 4) + 3). Let z = 30 + b. Put 2, 0.5, z in ascending order.\nAnswer: z, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-0.82707.\nAnswer: -11.57898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j - 33*j - 19*l - 54 = 0, 444*l = 3*j + 443*l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times -1.62?\nAnswer: -2.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 14 + 3 = y, z - 4*y = -5. Suppose -z*n = -2*n - 3*s - 27, 4*n = -3*s + 27. Solve -3*d = 3 + n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13322 + 3032?\nAnswer: 21404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4089b - -3?\nAnswer: -40898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.3*-0.4.\nAnswer: 3.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 16?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -o - 16 + 63, -o - 28 = -v. Let k(n) = -25 - 2*n**2 + v. Let g(j) = 5*j**2 + 1 - 1. What is k(g(u))?\nAnswer: -50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2288*u + 2*v + 19 = -2289*u, 175*u - v = 171*u - 42 - 34 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 10065?\nAnswer: 322080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5144 and 22240.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*u = 17548 + 22723 for u.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2 - 4. Suppose -5 = -3*g + j*g. Suppose -170 = -g*m - 5*p, -2*m = p - 5*p - 44. Calculate the greatest common divisor of m and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203 + -169. Let k = 32 - b. Put 2\/5, k, 14\/9 in descending order.\nAnswer: 14\/9, 2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234365?\nAnswer: 5, 19, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13317821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 361?\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4387, -77\/6, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295549 is divided by 98512.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -138400 (base 16) in base 10?\nAnswer: -1278976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (2*sqrt(72))**2 + sqrt(72) + (2 + sqrt(72))*-2 + -5).\nAnswer: -1680 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**3 - 30603*b**2 + 183694*b + 1224360 = 0.\nAnswer: -30609, -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 0.17.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5 + 18180*w**4 + 11589792*w**3 = 0. What is w?\nAnswer: -5336, -724, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -17. Let j(a) = a - 4. Let s be j(6). Solve g = c - s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 8062 = 7103. Suppose -2*d = -5*r + 1281, 17*d - 20*d = 4*r - p. Calculate the highest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 + 117*l + 618. Determine z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 619 and 0.025.\nAnswer: 15.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 80, -3, -37, -5, 4 in descending order.\nAnswer: 80, 4, -1, -3, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7099*j**2 - 3537*j**2 - 3572*j**2.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + -10001011001011011101111100?\nAnswer: -10001011001011011110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a2 + 4a1?\nAnswer: 3bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + p - 2*p)*(-3*p**2 + 5*p**2 + 0*p**2) + 5*p**3 + p**3 - 2*p**3 - 4*p + 4*p + p**3 + (0 + 0 + p**3)*(1 + 1 - 1) + 3*p**3 + 2*p**3 + 2*p**3.\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/(-65) + 28\/5. Suppose 6 = -h - d*g - 2, 14 = 3*h - 4*g. Suppose -3*l - h*l = -5. What is the closest to l in 2\/11, -2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 10*x - 3*x - 5 + 0*x. Let b = 106 - 99. Let o(f) = 8*f - 6. Determine b*k(d) - 6*o(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -10. Let a(v) be the second derivative of 0 - 1\/6*v**3 + 9*v - 7\/2*v**2. Determine a(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219 divided by 171423.\nAnswer: -73\/57141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6*v = -1906, -3*d - 2*v + 1198 = -4632. What are the prime factors of d?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 3\/5 (c) -1 (d) -989 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -6\/11, 48\/35 in increasing order.\nAnswer: -6\/11, -1\/2, 48\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19583*c**2 - 9796*c**2 - 9806*c**2.\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 4*d**6\/9 + 6*d**5\/5 + d**4 + 2*d**3\/9 + 2. Solve i(j) = 0 for j.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 538, 545, 564, 601, 662, 753?\n\"Answer: d**3 + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l - 17412 = -3434. List the prime factors of l.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.8*-0.026.\nAnswer: -0.2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 17972055 times 2\nAnswer: 35944110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/24953396 and 77\/15355936.\nAnswer: 199627168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-125)\/4900*-3*4?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -4, -26693 in descending order.\nAnswer: 3, -4, -6, -26693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -124999.37 to the nearest one thousand.\nAnswer: -125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 4. Suppose -8 = l - 5*q, 5*q - 8 - 16 = 3*l. Let a be r(l). Suppose -a*j = j - 20. Solve j*p + 3 = 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 98 = -15*x. Let p = -73 + x. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**2 - 2*o - 89. Give d(0).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -641 - -641. Are -3\/46 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6096 is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23406, -4049, 15306, 34659, 54010, 73359?\n\"Answer: -y**2 + 19360*y - 42765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 3 = -7*z. Suppose 3*n + n = 4. Calculate the remainder when z is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 22. Let t be -1*7 - (9 + -6). Let v be q(t). What is the remainder when 124 is divided by 39 - (-1 + 0 + v)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -4. Let f be (80\/(-6))\/(24\/(-36)). Solve -2*z = -u*w - f, -2*z - 3 = 4*w + 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 21. List the prime factors of 2\/12 + (79508\/u)\/13.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 2:27 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23042040.\nAnswer: 2, 3, 5, 7, 27431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.4 - 20. Which is the nearest to 4\/5? (a) 5 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, 63, 101?\n\"Answer: 38*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a1a (base 13) in base 10?\nAnswer: 14895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.95 times 8.2?\nAnswer: 384.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3255414 (base 7) to base 10.\nAnswer: 400488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -318000, -317985, -317968, -317949, -317928?\n\"Answer: q**2 + 12*q - 318013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -2, -1\/49, -19, 0.8, 2\/17, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, a: 4}. Give prob of picking 2 n and 1 a.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 9.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -41*y**3 + 4*y**2 + 2*y - 1. Let r be p(-1). Suppose 118 + r = 2*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.6 - -42. What is the nearest to -2 in n, 0.08, 4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 130e - -4?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by (-1 + 7)*(-36)\/(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -4*u + 28, -290*b + 293*b = -4*u + 28 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 59 = -3*k, 3*k - 69 = 4*m - 2*k. Let n(i) = i**2 + 11*i - 4. Calculate n(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28209816 rounded to the nearest one hundred thousand?\nAnswer: 28200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1530084 - 59?\nAnswer: 1530026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008408256 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 3, b: 3, i: 1, d: 1, p: 5}. What is prob of sequence qmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.8 - -10.54. Let k = -1.818 + h. What is k rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5969 (b) 0.311 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**3 + 2*o**3 - o**3 + (16*o - 3*o**2 - 16*o)*(5*o - 11*o - 7*o).\nAnswer: 35*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 104190641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 10:20 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 209*n**2 + 6654*n - 1078. Determine i(-32).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -33*b**2. Let h(z) = -28*z**2. Give v(h(f)).\nAnswer: -25872*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3326.9 + 3493.9. Is s <= 1\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - 3?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 17238, -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7837566 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: Which is greater: -2697\/94 or -29?\nAnswer: -2697\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -1. Suppose 3*m + 6 = 3*i, -2*i + 2 = -m - b. Solve i = 3*z - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1792)*-2*4 + sqrt(1792)))\/(sqrt(32)\/(sqrt(8)*1) - (sqrt(484) + sqrt(484)*2 + sqrt(484))).\nAnswer: -280*sqrt(7)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 9*p - 1. Let f be u(10). Let d be ((-65)\/40)\/13*(-3 - -1). What is the biggest value in 2\/19, d, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2077 - -1.1677. Let x = -2.2 - -5.4. What is the nearest to x in k, -5, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2\/2 + 10*t + 22 = 0.\nAnswer: -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1174 = 5*g + 486. Let w = g + 597. List the prime factors of w.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*a + 573 - 153 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 905*j - 7313. What is n(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*v - 2*x, -2*v - 8588*x = -8583*x - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 13 = 3*o, 2*o = 3*t - 2*t + 17. Suppose -o*z - 5760 = -3*z. Round z to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.22 - -2.24. Let y = t + -0.02. Suppose -18 = -2*q + 5*r, -18 = -5*q + q + r. What is the second biggest value in q, y, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(-2*sqrt(5)))\/((sqrt(72) - (sqrt(72) - (sqrt(72) - ((sqrt(72)*-2 + sqrt(72) - sqrt(72)) + sqrt(72))))) + sqrt(72)).\nAnswer: -sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 43\/4 of a day?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -35 - 5. Suppose 5*c - 5*a = 80, -c + 16 = -3*a - j. Suppose -2*b - 3 = -c. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-5)\/(10\/(-87)). What is the greatest common divisor of k and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/336 and -107\/252.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 8 = 6*u. Let d(b) be the first derivative of -8\/5*b**u + 0*b - 1 + 0*b**3 + 0*b**5 + 98\/5*b**4 - 2401\/30*b**6. Factor d(o).\nAnswer: -o*(7*o - 2)**2*(7*o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2913008823 to the nearest integer?\nAnswer: 53972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**5\/60 + 2*b**4\/3 - b**3 - 8*b**2. Let h be x(15). Solve 0*g = -3*g + h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -4*v + 2*y + 11, 6*v + 9 = -y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1 - 1) + 3 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13006 + 3?\nAnswer: -13003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2146600 divided by 10733.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.7652526 - -722.\nAnswer: 742.7652526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h + 7 - 7)*(27*h + 25*h - 55*h)*(-5*h**2 + 2*h**2 + h**2)*(4*h - 2*h + 0*h).\nAnswer: 72*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -40*h**5 + 2965*h**4 - 55090*h**3 + 6840*h**2 = 0.\nAnswer: 0, 1\/8, 36, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -64, 2, 0.\nAnswer: -64, -0.3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1570894*x**2. Let y(j) = -6*j. What is y(r(c))?\nAnswer: -9425364*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 4. Let z(o) = 2 + 3 - 1 - 5 - o. Let t(n) = u(n) + 4*z(n). Factor t(p).\nAnswer: 2*p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 10 = -o, -18*j + 14*j + 10 = 3*o. Let q(m) = 0*m - 7*m**2 - 2 - 9 + 64*m**2 - 6*m. What is the units digit of q(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 = -34*l - 1486 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -49*m**3\/2 + 181237*m**2\/2 - 39096376*m + 4502288032 = 0?\nAnswer: 1672\/7, 3221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2578763?\nAnswer: 11, 67, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 + 10)\/(-1 - 10\/(-6)). Solve -3*x + l*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11091325*w**2 + 3048929?\nAnswer: 22182650*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**2 + 9*o + 7. Let a(k) = -5*k**2 + 10*k + 8. Let l(r) = 5*a(r) - 6*m(r). Let g be l(-2). Find c such that 0 - 1 - 4*c + c**g + 5 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1034 and 1132 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1411 + -0.6411. Let u = 0.8 + -3.8. What is the fourth biggest value in r, 11\/7, u, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 1. Let z be f(1). Suppose 4*y - 3*y = z. Let n = -5183 + 5185. Solve n*l = -y*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 4*c**2 - 4*c - 8. What is v(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(88)\/(sqrt(504)\/sqrt(7))*-6.\nAnswer: -2*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115785324?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 67925 and 733700.\nAnswer: 181223900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 4 - 27*j + 4*j - 27*j.\nAnswer: -46*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -249\/19 + 13. Let j = -2 - -7. What is the nearest to -1 in n, j, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r. Let d be z(-1). Suppose -h + d - 2 = 0. Solve 1 = h*j + 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377449 is divided by 229289?\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -328 - -325. Let i(m) = -2*m**2 - 11*m - 12. Let h be i(l). Solve h*d - 6 = 3*z, -14 = 2*z - 5*z - 2*d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1952 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 68653*q**3 + q - 339196*q**3.\nAnswer: -270543*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + 100000000?\nAnswer: 100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/40)\/(1\/(24\/(-9)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118226 and 945808.\nAnswer: 945808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(336)*-1)\/(1*sqrt(252)*-2) + 1.\nAnswer: -3 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0676 - -27334828.\nAnswer: 27334828.0676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1557264?\nAnswer: 2, 3, 32443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f = 23*f - 147. Solve -23 = -4*p - a - f, 4 = a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3877.\nAnswer: 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1745, -3504, -5263?\nAnswer: -7022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148 - 458284?\nAnswer: -458443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k - 5*i - 55 = 0, 4*k + 5*i - 44 = 0. What is the lowest common multiple of (48\/10)\/((-1)\/(-10)*2) and k?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 20*b + 2*b**2 + 2*b**2 - 20*b in the form k + z*b**2 + f*b and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -288641 (base 9) to base 4\nAnswer: -223030231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*d - 10 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6101, 24427, 54965, 97715, 152677, 219851, 299237?\nAnswer: 390835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -11. Suppose c*j - 13 - 35 = 0. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 151, 3, -8, -5, -4 in decreasing order.\nAnswer: 151, 28, 3, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.3, -1, -2, -256 in ascending order.\nAnswer: -256, -2, -1, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 27. Let b be w(22). Let m be (9 - 2)\/1 - (6 + -3). What is the third biggest value in m, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 20, -5*g + 3*g + 15 = x. Which is the nearest to 1? (a) 1\/2 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2. Let m(u) be the third derivative of 0*u**4 + 0 + 0*u + 7\/15*u**5 - 22*u**2 + 0*u**3. What is h(m(l))?\nAnswer: -784*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16, -1\/6, -1, -0.01.\nAnswer: -1, -1\/6, -0.01, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 18131370 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124 - -152. Calculate the remainder when h is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 1015*j**2 + 49955*j + 159135.\nAnswer: 5*(j - 103)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v = 48*v + 252 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10649 = -25*z + 102512 + 22537. Is z a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 366*v**3 + v**2 - 1. Let i be a(1). Suppose 5*o + i = 7*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = b - 8, 0 = b - w + 4. Suppose 0 = -0*q + 3*q - 6. Let x(t) = 37*t - 39*t + q - 1. Give x(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/161, -4, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2826, 0.19, -1.\nAnswer: -2826, -1, 0.19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-1*91\/(-14). Suppose -t*s + 2*s = -1012. Calculate the remainder when s is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18927602?\nAnswer: 2, 101, 93701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 3*g**2 + 1305 - 1305 - 21*g**3)*(1 - 1 - 3*g) to the form q + v*g**3 + p*g**2 + m*g + a*g**4 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -82296*d - 82112. Determine u(-1).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 10*q**2 - 20*q - 1. Suppose 105*z - 32 = 109*z. What is the remainder when 277 is divided by d(z)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccj when three letters picked without replacement from {h: 4, c: 5, j: 1, a: 1, d: 3, w: 6}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 709*s + 45 = 718*s. Solve -i + s*u + 15 = 0, -4*i = -u + 1 - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3) - 2\/12. Let g = -6.19 - -6.09. Let c = -254.4 - -257.4. What is the smallest value in 4\/7, b, g, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mtmmmmmmmt?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.4283 and 1.\nAnswer: -11.4283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 12309126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 33*v**2 - 49*v - 20. Let d(y) = -24*y**2 + 31*y + 14. Let x(j) = -7*d(j) - 5*i(j). Calculate x(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 346)*(15\/6 + -2) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(7*m - m + 0*m)*(3*m**2 - 3*m**2 + m**2).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/7 + 150*p\/7 - 151\/7 = 0. What is p?\nAnswer: -151, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**2. Let o(d) be the second derivative of d**4\/8 - 19*d**2\/2 + 18*d. Let c(z) be the first derivative of o(z). Determine c(t(w)).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b - 4*b + 0*b)*(4 - 4 + 1) + (12*b - 53*b - 15*b)*(-10 + 1 - 3))*(-b**3 + b**3 - b**3).\nAnswer: -670*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) 0.8 (c) -1\/12 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1188)\/21)\/(-12) + -5. Which is the second biggest value? (a) 1.8 (b) p (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2 + 13 - 7*a**3 - 4*a + 4*a - 17*a**2. Let k(z) = 4*z**3 + 9*z**2 - 6. Determine 11*k(s) + 6*t(s).\nAnswer: 2*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6290553*l**2 + 47268*l - 65?\nAnswer: -12581106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9486\/168*(-228)\/2. Let g = d + 6442. What is the common denominator of -75\/14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966920 plus 1782212.86?\nAnswer: 3749132.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-24) + 6\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 918342.6ng?\nAnswer: 0.9183426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 537*w + 4. Let o be c(5). Suppose 2*b - 2407 = -2*p + 273, -5*p = 2*b - o. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10260 and 1539.\nAnswer: 30780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23967 - -24030. What is the greatest common divisor of 27153 and v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - 0.5. Suppose 0*g - 64 = -4*g. Suppose -y + g = 3*y. Which is the nearest to x? (a) 0.2 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 79 = 5*n, -2*g - 108 = -5*g + 3*n. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -84 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-164)\/8*-2*1?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -24, -14, 14, 66, 148, 266, 426?\n\"Answer: w**3 - 9*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((247\/(-26))\/(-19))\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/(-117) + (3200\/18 - -2). What is the greatest common divisor of 120 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 - -75. Let w(t) = -2*t**2 - 6*t + 12. Let m be w(c). Sort -26, 2, m.\nAnswer: -26, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1170+-237976\nAnswer: -239146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 2*t**2 - 11*t - 13. Let s be k(-4). Let q(m) = m**3 - 1. Let y(n) = 18*n**3 - 3. Calculate s*y(u) + 3*q(u).\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -161\/4 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o + 32*o - o)*(-1 - 7*o + 1).\nAnswer: -322*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 17 (c) 1.084 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1 - 198*z - 1 + 195*z. Determine c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/4125 and 41\/4500.\nAnswer: 49500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 321. Let b(r) = -2*r. Calculate b(p(h)).\nAnswer: -2*h + 642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16506 - -16597.0081. Let d = x - 91. Round d to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-10)\/(-8)*40\/550.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -61*l - 44. What are the prime factors of y(-8)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55876459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfc when three letters picked without replacement from {o: 1, s: 1, f: 1, v: 1, c: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(150)*-2 + sqrt(150)))\/sqrt(10))\/(6*(sqrt(3) - (sqrt(147) + (sqrt(147) - 3*sqrt(147)) - sqrt(3)))).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(65)\/sqrt(5) - 5*sqrt(39)\/sqrt(3))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 255*j - 6181. Give p(22).\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.85204 rounded to one dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 89460 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3362 - -3376. Solve -9*q + 8 = a - y*q, -3*a - 2*q = 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 79\/2 of a microsecond?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276017 is divided by 179.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*j + 3, 4*j = -5*d - 5 - 0. Let f = 114.8 + -106. Let k = -0.2 - f. Which is bigger: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 11 (c) -0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 1)\/((-5)\/(-320)). Let g = p + -145. What are the prime factors of g?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a - 555. Let t = a + -399\/4. Calculate the common denominator of 49\/5 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1111511357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6) - sqrt(150)) + 5 + sqrt(96)\/sqrt(8) + -3.\nAnswer: 2 + 7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 930227, 16 in increasing order.\nAnswer: 3, 16, 930227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6981440 or 6981524?\nAnswer: 6981440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1 + 0*h**2 - 4*h**2 + 6*h**2. Let w be y(-1). Suppose -4*t - 2*c = 20, 5*t = -2*c + w - 26. Sort 2, t, 4.\nAnswer: t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 49*t + 12. What is the remainder when 19 is divided by k(49)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -2, 6, 59 in decreasing order.\nAnswer: 59, 6, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 213 + -398. Is -0.1 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/126854 and 1\/3198?\nAnswer: 380562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1760209910, 1760209909, 1760209908, 1760209907?\n\"Answer: -s + 1760209911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 5, 0.11, -4, -1\/6?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 26\/85?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 390 and (-63 + -15)*88\/(-33).\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 37*f**2 - 17*f - 16. What is the thousands digit of w(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13676160 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63252*q**2 + 0 + 0.\nAnswer: -63252*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25156 and 38?\nAnswer: 25156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 8:42 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179 + 184. Solve -r*d = -3*t + 4, -2*t - 2*t = d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 5:51 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + p + 35, 2*p = -l - 21 + 14 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-64)\/800 - (1 + 302\/(-25)). Sort -4, -0.32, y in decreasing order.\nAnswer: y, -0.32, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43.1 - 43. What is the smallest value in 1\/4, v, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 16. Let h be g(16). What is the highest common factor of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 + 4 = 0. What is the derivative of -9*b + 9*b - 6 - q*b**2 wrt b?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + 44. Suppose -98 = -5*n + 2*t, 3*n = -n + t + q. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364 + -351 - (-72 - -4).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217808262 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 991657 and 0.6.\nAnswer: 991657.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1.61, 3, -25, -17\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 16321.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61145 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*sqrt(252) + -4 + (-5 + -1 + sqrt(252) - sqrt(252))**2 + -1.\nAnswer: 6*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 16 - -22) + 0 + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16164*m**4 + m**2 + 24*m + 11.\nAnswer: 387936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37926.38424 - -37927. Round y to 2 decimal places.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(-8)\/6 - (146 + -143). Sort -3.9, 6, -4, w in decreasing order.\nAnswer: 6, w, -3.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 1:01 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24683837 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = 3*u + 12, 0 = -z + 2*u + 7. Sort z, -8, -2, 0.3.\nAnswer: -8, -2, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 650717035 - 1?\nAnswer: 650717034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*u**2 + 182*u?\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.682 - 0.118. Which is the closest to 0.13? (a) -2\/11 (b) 5 (c) n (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-55))\/((-711 - -753)*(-2)\/60)\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**4\/u)\/u*u**8)\/(u**(1\/16)\/u**(-1\/4)) assuming u is positive.\nAnswer: u**(203\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -62\/5, 0 in ascending order.\nAnswer: -62\/5, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.019261 (b) -4\/307 (c) -1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1365*v**4 + 3252*v**3 - 797*v**2 - v - 1172 wrt v?\nAnswer: 32760*v + 19512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12872 and 4232.\nAnswer: 6809288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 136169995 take away -2.78372?\nAnswer: 136169997.78372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 5*h**2 - h - 17. Let g be r(-5). Let s be (45\/(-12) - -2) + 3\/g. Which is the second biggest value? (a) -0.5 (b) 2\/9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1591409446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17771 + 66590 = 3*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2440001 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4472400 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:53 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4 - (2*-186 - 4 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/16 of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5161 + 144463\/28. What is the common denominator of j and 49\/1184?\nAnswer: 8288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -89125.\nAnswer: -1\/17825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3 + 3*c + 0*c + c + 3*c. Let r = 0 + 5. Is 23 a factor of z(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t**(-1\/8))**(-37) assuming t is positive.\nAnswer: t**(1813\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -383520, -383534, -383564, -383616, -383696, -383810, -383964?\n\"Answer: -u**3 - 2*u**2 - u - 383516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 34*d - 152. What is the lowest common multiple of 14\/(-49) - (-1054)\/14 and z(5)?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4391090 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(4\/396) + -2. Let q = 101 - j. Let c be ((-3)\/q)\/(187\/(-408)). Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = 0, -2*x + 342 = 3*z + x. Let s = 134 - z. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215248 + 37?\nAnswer: 215285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 6) in base 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*b + 7. Let u be 1*(b + -6)*-4. Suppose -t - 46 = -3*o - 3*t, 23 = 4*o - 5*t. What is the greatest common divisor of u and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 7*l + 3*l - l**3 + 6*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38593725.41092 - 17?\nAnswer: 38593708.41092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - p = -3133, -25 = 5*p - 0. Let o = b - 2280. What is the common denominator of ((-17)\/(-20) + -1)*o\/(-27) and 87\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, d: 5, l: 1, h: 6}. What is prob of picking 1 h and 1 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + z + 18 = 0. Suppose h + 12*j - 8 = 16*j, 5*h = -z*j + 86. Let c be (0 + 2)\/(1\/1). Calculate the greatest common factor of h and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 7483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*z - 3*b, 5512*b = 2*z + 5510*b - 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 - -0.2. Let w = 1 + -3. Let u = n - w. Which is smaller: 0.1 or u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**7\/1260 + 5*r**4\/12 + 20*r. Let l(t) be the third derivative of z(t). Let y(c) = -7*c**2. Give y(l(u)).\nAnswer: -28*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 95464177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 879640 and 39.87315?\nAnswer: 879600.12685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30917159733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*m**2 + 6*m.\nAnswer: 3*m*(9*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1584) + (1*(-2 + sqrt(1584)) - sqrt(1584)))**2*1 - (2 + ((sqrt(1584) + 0)*2 - 3*-1*sqrt(1584))**2).\nAnswer: -38009 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*d - 16 = -d, -q - 3*d + 16 = 0. Solve 4*a = w + 5 + 5, q*w = 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 0.216312?\nAnswer: 0.616312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -114 + 116. Let z = -3.03 - -0.03. Which is the third biggest value? (a) v (b) 14 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 485342, 970904, 1456466, 1942028, 2427590, 2913152?\nAnswer: 3398714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 734522 (base 8) to base 15.\nAnswer: 4c4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -561*b + 566*b - 3*m, -3*m = -3*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*r + 1136 + 1564 = 0 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-7))**(-34)\/(w*w**(-14)*w\/w**(2\/33)))**(-4\/19) assuming w is positive.\nAnswer: w**(34312\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-241)\/(5 - 252\/49). Calculate the highest common factor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five eighths of a kilogram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + 567?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*l**2*n*r + 10*l**2*r + 323*l*n*r - l*n wrt l?\nAnswer: 60*n*r + 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/1242)\/((-3)\/(-36)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302 + 101330020?\nAnswer: 101323112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -190*h*r**2 - 1780*h*r - 6*r**3 + 2*r wrt r?\nAnswer: -380*h - 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/10)\/((-12)\/(-30)). Suppose 2 = -v + f*n, 3*v + 2*n = -2*n + 10. What is the remainder when 2 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 719 + 0.24493.\nAnswer: 719.24493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {r: 1, q: 3, k: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38.9897 + 0.0103. Which is smaller: -0.07 or x?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 2*b - 10036. Let m(g) = 17*g. Give y(m(q)).\nAnswer: 289*q**2 + 34*q - 10036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -2*c**3\/3 + c**2 + 2*c - 71. Let p be x(0). Let h(r) = 3*r**2 - 4*r + 3. Determine h(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19403 is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 17 - (-30 - -25 - -9).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 457472529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 11:33 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 17*v - 30. What is the tens digit of b(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-8) - (-16960)\/14080.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10560)\/18)\/22 - (-110)\/(-330)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3834, 3, 4 in decreasing order.\nAnswer: 3834, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-7) + 298\/(-14). Let g = 31 + u. Let q = g - 7. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 241311?\nAnswer: -241310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**3 - 8*k + 8. Let r(z) = -11*z**3 + z**2 + 24*z - 25. Let l(t) = -8*d(t) - 3*r(t). Let n be l(4). Let y(c) = c**2 + 4*c + 5. Calculate y(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*(-2*sqrt(9) + sqrt(9)))\/((2*sqrt(30))\/sqrt(10) + sqrt(3))*-4)*3.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 147620 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2265 + -2244. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 + 97. Solve 5*v - 2*o + 15 = -i*o, -5*v + 3*o = 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15948817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/4*((-43677)\/18)\/(-23). What is the greatest common divisor of z and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**5\/20 + 5*v**4\/6 - v**3\/2 - 19*v**2\/2 + 57*v. Is r(-5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - 442?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**5\/15 - 98344*t**4\/15 - 39342*t**3 - 295088*t**2\/15 + 196712*t\/3 = 0.\nAnswer: -5, -2, 0, 1, 49178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + x - 3)*(3 - x**2 - 3) - 34 + 34 + 403*x**3 + (-4*x**2 - x**2 + 3*x**2)*(-x + 4*x - 5*x) as q*x + u*x**3 + i*x**2 + o and give u.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 975 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 140*q**3*t**3 - 10*q**2*t**3 - 8533*t**3 wrt q.\nAnswer: 420*q**2*t**3 - 20*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kekikkeekkiikkki. What is prob of sequence eii?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.0961 rounded to one dp?\nAnswer: -27.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - 27. Suppose 5*s - 129 = 4*j, 6*s - g = 4*s + j. What is the remainder when s is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000047416949 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + 377*h - 3783. Calculate x(10).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-6))\/2 - 20\/(-36). Suppose 3*d + 1 - 2 = 5*p, 2*d = p + 3. What is the second biggest value in b, d, -0.8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*(-1)\/4 + 7*14\/(-56). Factor 2\/3*c**3 + 0*c**2 + y - 1\/3*c**5 - 1\/3*c + 0*c**4.\nAnswer: -c*(c - 1)**2*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > 10908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.118 - 14. Let r = g + -21.218. Let w = 21 + r. Which is the second smallest value? (a) 2\/13 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 3:16 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -137*b**3 - 110 wrt b.\nAnswer: -411*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 4*k + 6*k - 5 - 5*k - 8. Let b be x(-15). Suppose 3*u = -5*d + 456, 4*d - b = -0*d - u. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12100)\/(-84))\/11 - 6 - 7?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, 156, 699, 1450, 2403, 3552, 4891?\nAnswer: 6414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -3 - (-5 - -19 - 15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4762, -9537, -14328, -19135, -23958, -28797, -33652?\nAnswer: -38523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 189 - -39\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - 3 + 3 + (-2*a**2 + a**2 + 3*a**2)*(2 - 1 - 3) - 76*a**2 + 137*a**2 - 68*a**2 + 0*a**2 + a**2 - 2*a**2.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11892 - -11572.075. Let k = d - -324. Let z = k - 0.075. Which is the nearest to 1? (a) 37 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-3)\/(-4)*(-3)\/(27\/320874) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9830884379.\nAnswer: 61, 7727, 20857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11752 + -11882.8. Which is greater: 1\/4 or f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:40 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1263236 is divided by 319?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -8. Suppose 7*z = -1204 + 2982. Suppose -v*f + 248 = 2*f - g, -2*g + z = 5*f. What is the highest common divisor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - sqrt(60)*1) + ((sqrt(240) - -1*sqrt(240)) + sqrt(240) - sqrt(240)))\/(2*sqrt(243) - (sqrt(12)*-2)\/sqrt(4))*4.\nAnswer: 7*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(3\/(-9)*(204\/(-8))\/1)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2158 = 2*l + 8, -16 = -4*s. Suppose 10*k + l = 1513. Solve -2*x = 9*x + k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*b - 949 - 1316 = 3585 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1150 + -45156?\nAnswer: -46306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + -4 - -2) + (6 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 381303830 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 596055258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-176)\/(-24))*(-40)\/(-700)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 48*l - 44*l + 16 - 4. Let k(i) = -8*i + 7. Calculate the remainder when k(-11) is divided by w(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133010876\/1824339 - -2\/165849. Let r be 1\/(-308)*-25294 - 1. Let f = s - r. Find the common denominator of -9\/22 and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + v + 3. Let q(c) = c - 4. Let w be q(-3). Let a be l(w). Suppose 0 = m + m - 10. What is the greatest common factor of m and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*(-6*s**2 + 4*s**2 + 3*s**2) + (s**2 - 2*s**2 - s**2)*(0 + 4 - 3) - 4*s**2 + s**2 + 2*s**2 + 0*s**2 - s**2 + 0*s**2 + 18*s - 10*s**2 - 18*s.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 8:42 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from ntzbejb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 80 = 2*l. Let w = -5 + l. Solve -4*a + w = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1678430, 3356861, 5035290, 6713717, 8392142, 10070565, 11748986?\n\"Answer: -o**2 + 1678434*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (3 - 19) + 0 + 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.5 (c) 4 (d) -14 (e) 45 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + k - 9*k + 8*k - 5*k. Determine b(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 3*d**2 + d**2)*(2 + 2 - 1)*(-d + 5*d - 2*d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2408*r + 2418*r + 50 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/4, 1\/41, -1\/35, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + 0.5. Let s = 10\/117 - 4\/13. Let o = -1\/36 + s. What is the second smallest value in o, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -64. Which is the closest to -1? (a) -0.02 (b) -12 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1140*g. Let w(b) = 25*b**2. Give u(w(k)).\nAnswer: 28500*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2333, -2276, -2161, -1976, -1709, -1348, -881, -296?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6041272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21204 + -121?\nAnswer: 21033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + r**2 - 7*r - 4. What is a(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2889 is divided by 948?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 50, -4, -107 in ascending order.\nAnswer: -107, -5, -4, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 242 (c) -0.1 (d) 7 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105751 (base 8) to base 13.\nAnswer: 133c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 866.1688 milliseconds in seconds?\nAnswer: 0.8661688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3903, 3896, 3889, 3882, 3875, 3868?\nAnswer: 3861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2636556 and 2132.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 506791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 87572878 to the power of 1\/2, to the nearest integer?\nAnswer: 9358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = 13. Suppose 0 = 3*y - 3*b - 15, o*y + 0*y - 11 = b. Let c(k) = -2*k - 4. Let u be c(-4). Solve 2*r + u = -2*q, 3*q - 2*q - 2 = -y*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -11. Suppose 0 = -4*f + 5*f + h. Let y(w) = w + 1. Let r(u) = 7*u + 8. Determine f*y(t) + r(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*v**2 + 12 - 5)*(-16*v**2 - 28*v**2 + 18*v**2) in the form t + c*v + y*v**3 + q*v**4 + x*v**2 and give q.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31751 is divided by 4534?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 - 4*u**2 - u - 8. Is s(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, z: 6, d: 4, f: 3}. What is prob of picking 3 f?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8584 - 8579. Solve -3*q = -y*x - 7*q + 17, 3*q = 2*x - 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2302 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141 + -181947515.\nAnswer: -181947374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (180\/8)\/3*6\/3. Does 16 divide 159\/5 + 3\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21225\/2 + -10613. What is the second biggest value in -2, -3, r, 1, 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.3. Sort 0.4, 14, z, -1 in decreasing order.\nAnswer: 14, 0.4, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 6:13 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 2:13 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-99))\/((-78)\/117)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 290323.\nAnswer: -28\/290323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j. Let n(z) = -5*z**2 + 12*z + 166. Determine n(w(d)).\nAnswer: -45*d**2 + 36*d + 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 - 30*x - 46. What are the prime factors of q(15)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(208) + 2 + (sqrt(208) + 2)*-3 + -2*sqrt(208)*3 + sqrt(208) + ((-2 + sqrt(208) - sqrt(208))*-3 - sqrt(208)).\nAnswer: -32*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27777 and 282?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1852*s**2 + 88*s + 14. What is the tens digit of q(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -351 - -1052. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50307286 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, -7, -3.\nAnswer: -7, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 - 90*u**2 - 537*u + 24171. Calculate x(45).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.71 + 0.695. Which is smaller: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 1033 + 17*r**2 - 1033)*(3 - 2 - 3)*(4*r - r - 2*r).\nAnswer: -34*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2420?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(15\/27))\/1. Let d = 12 + v. Suppose 0 = -5*y + d*h + 68, 5*h = 2*y - 6*y + 47. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128\/7*o**2 + 30\/7*o**5 - 32\/7*o + 0 - 32\/7*o**4 - 16*o**3 = 0 for o.\nAnswer: -2, 0, 2\/5, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -554741\/12 or -46228?\nAnswer: -554741\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 99*j**2 + 103*j**2 - 203*j**2. Let w(l) = 81*l**2. What is z(w(s))?\nAnswer: -6561*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2259827 and 26341.5.\nAnswer: -2233485.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*u + 20 = -149*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 + y**2 + 3*y + 1. Let q be r(-3). Suppose -2*d + 7*d = -2*g + q, 0 = -d - 5*g - 12. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 605434 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10691011 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17817125 or -17817132?\nAnswer: -17817132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 344631?\nAnswer: 1033893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -323022301?\nAnswer: 323022303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0.1. Is m < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 2*s - 2*s + 6*s + 0*s - 11*s + (0 + 2 - 3)*(-s - 2*s + s) - s + s - 2*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 680412099 to the power of 1\/2, to the nearest integer?\nAnswer: 26085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/sqrt(160) - sqrt(1573)*1.\nAnswer: -43*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/3 and 61\/273004654?\nAnswer: 819013962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 125*z**2 - 4*z - 3. Let h be p(-1). Let a = -29 + h. What are the prime factors of a?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 326 - 304. Calculate the highest common factor of l and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.10799981 - 0.108. What is o rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 5*a + 9. Let q be v(4). Suppose -3*i = -q + 2, 26 = 2*j + 4*i. Let b(y) = 3*y - 8. Calculate the least common multiple of j and b(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m + 12. Let i(q) = 7 - 83 - 22 + 56*q. Let u(z) = -6*i(z) - 49*s(z). Let n(w) = -3*w**2 + w**2 + 0*w**2 + 0*w**2. Give u(n(y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2885328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -2. Suppose -i - 5*j = -7, u*i - 4*i = 2*j. Suppose -l - i = 0, 5*l + 1 = -3*y - 0*l. Solve -4*x = -y*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -646 + 648.296. Let w = b - -0.104. Let h = w + 0. Round h to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 58*w**3 + w**2 - 42*w + 2. Let r(a) = -a**3 - a**2 - a - 1. Let b(q) = g(q) + 2*r(q). Find the third derivative of b(t) wrt t.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0 - 6*q)*(3 - 6 + 18)*(-3 - 2 + 0)*(-2 + 0 + 9).\nAnswer: 3150*q - 525","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0)\/(3\/(-180)). Let g be 57\/r + 3\/12. What is f in -2\/5*f**2 - g*f - 4\/5 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12270 divided by 6135\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*v**3 - 51*v**3 - 67*v**3 + 16*v**3 + (-1 + 2*v**2 + 1)*(6*v - 3*v - 4*v))*(-5 + 5 - 17*v + (1 - 1 - 2*v)*(-3 + 2 - 2) + 4 + 2*v - 4).\nAnswer: 1377*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.6 (c) -5 (d) 561\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.2 + -11.495. Let t = x + -0.66. Let r = 0.045 - t. Which is the fourth biggest value? (a) r (b) -2\/5 (c) -10 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -18422*p - 1. Let c(h) = -7*h. Give c(z(d)).\nAnswer: 128954*d + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/5 - 2014*b**3\/5 + 29784*b**2\/5 - 23104*b\/5 - 698368\/5 = 0 for b.\nAnswer: -4, 8, 11, 992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 13101?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5889 + 11372. List the prime factors of r.\nAnswer: 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**3 - 1 - 12*a**3 + 31*a**3 with respect to a.\nAnswer: 69*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 1, -4\/5, 0.5 in increasing order.\nAnswer: -64, -4\/5, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 195504219 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 8*u + 9. Let s be f(7). Suppose s = k + 6. Calculate the lowest common multiple of 3 and ((-12)\/(-21))\/(k\/(-14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**4 - 1060*p - 225*p**5 + 2879*p + 319*p**5 wrt p.\nAnswer: 1880*p**3 + 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-12)*6\/9*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(180\/(-14))*4\/84*6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10999077 by -40587.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 - 15 = -8*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2442 and 486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31340125 (base 8) to base 9.\nAnswer: 13483253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/1 - (-51)\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*g + 139 = 2*g, 430 = 3*b + 4*g. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-2 - 1 - -9). Let n = o + 10. Solve 0 = -x + n*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -26. Suppose 3*t + g = 10 + 7, 4*t - 5*g = -9. Suppose -l = 4*i - 89, -t*l = -l - r. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.149 times 1?\nAnswer: 3.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-4)*-3)\/((-35)\/((-56840)\/174)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3858235 and 226955.\nAnswer: 3858235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - (2 + 1)) + -1 - (-71 - -72).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 886, 1645, 2404?\n\"Answer: 759*k + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -31. Let w = -10 + f. Solve 1 = -i - w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-136)\/102)\/(1\/11706). Round v to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 672731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 15.18.\nAnswer: 15.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/26 - 1) + 23364\/(-572). Let d(u) = -u**3 - 39*u**2 + 81*u - 24. Let k be d(w). Solve -k = 5*v + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -124.1 and -22790.72?\nAnswer: 22666.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11988\/78 + (-24)\/(-78). Solve p = 21*b + 28 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, 15, 85, 213, 417, 715?\n\"Answer: 3*t**3 + 2*t**2 + 3*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 10, -w - w - 2*h = 6. Suppose -1062 = -w*l - 296. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1356.3 + -1357.06077. What is b rounded to two dps?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390 and 35360?\nAnswer: 106080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -12465115 smaller than -12465114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237230\/16 - 1458\/(-1296)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48\/59 + -2563\/177. Suppose v - 127 = -25. What is the common denominator of (v\/27)\/(2\/(-12)) and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.006 rounded to one dp?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1960 + 1974.03. Let w = -0.03 + l. Let f = 14.1 - w. Which is the closest to f? (a) 4 (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1070383 or -1070381?\nAnswer: -1070381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.986 - -0.066. Let w = h + 21. Let x = w + -0.15. Is -1 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 236.6 + -237. What is the third smallest value in t, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 4*r + 78 = 0, -4*r - 13 = 5*f - 55. What is the least common multiple of f and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -86. Suppose 0 = -c*k + 27*k - 288. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 2*f + f + 15*f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 358183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5210 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 2:56 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 14 + 7*w - 3*w - 4*w. Let o be t(9). Suppose o = 6*f - 13. Solve -2*l + f*l = 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -24*u - 7. Let i(b) = -22*b - 9. Let v(l) = -2*i(l) + 3*n(l). Let q(o) = o. What is v(q(f))?\nAnswer: -28*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/6, 6, -5, -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -0.2, 4, -19, -1.1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.4 (b) 2\/167 (c) -1\/138 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 45 = 5*w - 14, 5*n = 4*w + 50. Solve -13 = y - 4*a, n*a = 2*y + 3*a + 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 2, 4\/3, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*k**3 + 260\/3 + 115\/3*k**2 - 380\/3*k.\nAnswer: 5*(k - 2)*(k - 1)*(k + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 3 + -5)**2.\nAnswer: -8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 7 + 17 = 0. Let y be h + (5 - 6)*(-1 + 2). Suppose -30 - 115 = 5*s - 5*w, -91 = y*s - w. What is the common denominator of s and 75\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*d**2 - 32*d**2 - 1 - 2 + ((-3 + 0 + 1)*(3 + 2*d**2 - 3) + 432 - 432 + 6*d**2 + 6*d**2 - 5*d**2 - 2*d**2)*(-5 + 1 + 1).\nAnswer: -13*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/23*((-7)\/(-4))\/7.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0*s - s + 12, c - 3*s = -4. What is the closest to -1 in 0.4, c, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 120 = 2*m. Let c = -18 + m. What is the remainder when 32 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*u - 23 = 0, 4*a = -0*u + 3*u. Solve -j = -0*j + a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 6. Let b be l(3). Suppose 4*t + 58 = 3*f - 13, b*f = -3*t + 99. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45010 - 43125. Is d a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 - -238?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*z = -9. Suppose 5*p - 29 = 4*s, -1 - z = -s - p. Is -1\/71 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 558 and 624.3.\nAnswer: 1182.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + f**3 - 1 + (-3*f - 2*f + 7*f)*(-5*f**2 + 3*f**2 + 0*f**2))*(0 + 0 + 3)*(3*f - f + 0*f)*(2*f - f + 3*f).\nAnswer: -72*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*o - 2 = -31, -5*o + 15 = 2*a. Suppose a*p - 139 - 166 = 0. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.8 - -3. Let j = -0.15 + 0.25. Sort -2\/19, j, o in decreasing order.\nAnswer: o, j, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 14*c**5\/3 - 64*c**4 - 280*c**3\/3 + 44*c**2 + 266*c\/3 + 20 = 0.\nAnswer: -1, -2\/7, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 14595, -4.\nAnswer: -4, 6, 14595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 85, 166, 251, 346, 457?\n\"Answer: c**3 - 4*c**2 + 86*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8545 take away 0.071?\nAnswer: -8545.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522007.7 rounded to the nearest one thousand?\nAnswer: 2522000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128438941112 + -310.\nAnswer: 128438940802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27431379*o**4 - o**2 + 329042*o + 2.\nAnswer: -658353096*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -31 - 2 - 0 - (-2695 - -2681)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25.168 + 0.4\nAnswer: -24.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**3 - 3*k + 4*k**2 - 3 + 6*k**3 + 0*k**3. Let d(r) = 2*r**2 - 5*r + 8. What is the remainder when d(5) is divided by n(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 26 = -5*l + 17, -4*b - 10 = -2*l. Suppose -1 - 4 = -z. Let h = l - z. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 164.9 - 256.98. Let u = r + 56.8. Let d = -36 - u. Round d to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10885 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3621*b - 815. Let f be w(-5). Calculate the greatest common factor of f and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248 + u**3 + 248 - 773*u**2.\nAnswer: u**3 - 773*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2521*r**6 - 2*r - 4482*r**2 + 4*r - 3*r + 4743*r**2 wrt r.\nAnswer: -302520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3*h - 3*h)*(-3 + 0 + 2) + 2 - h - 2 - 113 + 26*h - 109 + 217.\nAnswer: 24*h - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - h + 0*h)*(h**3 - 3 + 3) + (4*h**2 - 3*h**2 - 3*h**2)*(5*h**2 - h**2 - 5*h**2 - h**2 + h**2 + h**2 + (0 - 3 + 5)*(-h**2 + 5*h**2 - h**2)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 5. Let h(l) = 6*l. List the prime factors of h(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 288*v**3 + v**2 - 2*v - 3. Let n be d(-2). Let j be 2\/((8\/(-278))\/(-2)). Let l = j + n. Round l to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.67331591 and -0.8?\nAnswer: -0.538652728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 17*k**2 - 37*k + 446. What is a(-20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(252)*-1 - sqrt(7)).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.3685m in micrometers?\nAnswer: 161368500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3)*k*k)\/(k*k\/(k**(-5\/3)\/k)))\/(((k\/(k\/(k*k\/k**0)))\/k*k*k)\/k**(-2\/7)) assuming k is positive.\nAnswer: k**(-167\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 - 9042?\nAnswer: -9022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1190 and 13244?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 4, -733*x - 5*w + 15 = -732*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-218)\/22) + (4\/(-6) - (-2286)\/1188).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5050, 5088, 5104, 5086, 5022, 4900, 4708, 4434?\nAnswer: 4066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 13*x**2 + 68*x + 11. Let a be w(-17). Solve -6*o - 15 = -a*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 581.76889928 - 582.4689. Let u = r + 0.7. Round u to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2291 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 8*h + 2. Let v be n(8). Suppose 0 = -0*w + v*w - 144. Suppose 0*o = 6*o - w. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*k + 158*k + 42*k in the form c + n*k and give n.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 523, 1052, 1579, 2104, 2627, 3148?\nAnswer: 3667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.19 (b) -814.9809 (c) -1\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -6*67\/2. Calculate the highest common divisor of 25 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -0.3 (c) 84 (d) 0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - d - 1. Let t(i) = 19*i**3 - 83*i + 1. Let j(y) = o(y) + t(y). Find the second derivative of j(n) wrt n.\nAnswer: 108*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -0.4 (b) 2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1457722 is divided by 595?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45\/7 in 0.07, -2, -61, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -24, -4, -1\/2, -28, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154 - -158. Solve 0 = 2*d - 3*j - 12, 2*d + j - 2*j = t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0, -0.2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -35*w**2 - 598*w - 1247. Give t(-15).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -19*x - 1. Let t(z) = 12 - 19 + 7 - 9*z. Let m(w) = -3*c(w) + 7*t(w). Let f(o) = -o. Determine 9*f(i) - m(i).\nAnswer: -3*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 14 = 7*s - 3*s, -2*a + 3*s + 6 = 0. What is the remainder when 15 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-14))\/(0 - 10\/35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 15*q + 17. Suppose 3*w - 25 = -4*f + 46, 5*f + 9 = 2*w. Give b(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, o: 1, g: 7, m: 4, q: 1, z: 4}. What is prob of sequence zof?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m**2 - 90*m + 7. Let w be n(4). Let b = 513 + w. Sort 4, -5, b in decreasing order.\nAnswer: b, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7333, 14657, 21977, 29299, 36629, 43973?\n\"Answer: f**3 - 8*f**2 + 7341*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -77 - 60 - 768*g - 22 + 6 + 242*g. Is s(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -5. Let d = f - 3.5. What is the nearest to 1 in -1\/2, 6\/11, d?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8840 + -221058\/25. Find the common denominator of m and -67\/55.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 573*w**2 + 1974*w**2 - w to the form o*w**2 + z + i*w and give o.\nAnswer: 1401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*f + 3*f + 4238 = 0, 2*y = 4*f + 8500. What are the prime factors of y?\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746146088?\nAnswer: 2, 93268261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59.61 - 59.61. Let g(m) = m**2 + 2*m - 3. Let d be g(-4). Put 0.1, d, a in ascending order.\nAnswer: a, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 9200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 12. Let v be d(4). What is the nearest to 0 in 3\/13, 3, v?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201212 (base 4) to base 7.\nAnswer: 6161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p**3 - 4*p**3 + 2 + 4*p**3 - 5 to l*p**3 + a*p + x*p**2 + u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 193\/7, -497, -4\/3, -2, -5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2648895 kilometers?\nAnswer: 264.8895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + p + 2. Let j be (-1)\/(-2 - 27\/(-15)). Is q(j) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 + 1 + -2 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201313102202 (base 4) to base 13.\nAnswer: -1aba7bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -685, -688, -689, -688, -685, -680?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 24, 320 in descending order.\nAnswer: 320, 24, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t**3 + 6*t**2 - 1. Let m(i) be the second derivative of i**5\/2 - 7*i**4\/12 + i**2\/2 + 6*i. Let v = -5 - 1. Let l(p) = v*m(p) - 7*y(p). Give l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -4 + (-5 + 21 + -2 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -2, 7, 16?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yebvp. What is prob of picking 1 p and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1452 is divided by 243?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 71 + 44*x**2 + 2*x**3 - 273*x - 30 + 275*x. Give u(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206706*n - 7 + 7 - 675085*n.\nAnswer: -468379*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499)*-1)\/((sqrt(3)*2 + sqrt(3))*1).\nAnswer: -7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 11:44 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4 = 5*x - 4*m, 2*x - 4 = -2*m. Let g be 2\/(-4) + 7\/x. What is the highest common factor of g and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*4 - (-6 - 1). Suppose -12*f + 67 = 163. Let i(r) = 9*r**2 + 3. Let c(u) = 26*u**2 + 8. What is f*i(o) + l*c(o)?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/10)\/b*b**16 assuming b is positive.\nAnswer: b**(147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-276)\/2024)\/(63\/(-308))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1200) + 5*(sqrt(1200) + 1*sqrt(1200)))*-3)\/(((1*sqrt(96))\/sqrt(2) + sqrt(48) + sqrt(48))\/((sqrt(192) - sqrt(12))*-5)).\nAnswer: 1650*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 19, 0, -44, -35 in ascending order.\nAnswer: -44, -35, -6, 0, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/41, 4, -2\/3, 3 in decreasing order.\nAnswer: 4, 3, -4\/41, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*j**2 + 108*j + 10*j - 86*j**2.\nAnswer: 3*j**2 + 118*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1386*o + 791*o - 8 + 5 - 702*o in the form d*o + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12203574 (base 8) to base 12\nAnswer: -a980a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -400857, -801733, -1202625, -1603533?\n\"Answer: -8*n**2 - 400852*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 1 - 3*d + 26*d**3 - 21*d**3 in the form u*d**3 + x*d + m*d**2 + z and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*a - 434 = 538, -704 = -3*k + 2*a. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29117805 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -54. Let x(b) = b**3 - 12*b**2 - 14*b + 12. Let l be x(13). Let h be 15\/(((-3)\/w)\/l). What is the highest common divisor of 48 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3713183 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3563 or -3587?\nAnswer: -3563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31612660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-17 + -6 + (6 - -6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1415*n - 1414*n = -5*i, 19 = -3*n + 4*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -14454*i + 303540. Calculate k(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6443273 (base 8) in base 13?\nAnswer: -483a7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*b = -0*f + 615, f + 5*b - 185 = 0. Calculate the highest common factor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23837*d**2 - 12602*d**2 + 3*d**3 + 0*d**3.\nAnswer: 3*d**3 - 36439*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h - 41*h + 232*h**2 - 5*h + 8*h + 15*h.\nAnswer: 232*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, w: 6}. Give prob of picking 1 w and 1 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4530 = -182*c + 185*c. Let k = -461 - c. List the prime factors of k.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 485 - 485. What is the second smallest value in 3, o, -2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -329*b**6\/6 + 6227*b**5\/60 + 5*b**2 + 2*b + 367. What is the third derivative of d(a) wrt a?\nAnswer: -39480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 7)\/1 - 1. Suppose i = -d + 15, p*i = 4*d - d - 45. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109166 less than 1?\nAnswer: 109167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -80*u + 548. What is the remainder when 473 is divided by i(6)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58.3, -3, -451\/8 in ascending order.\nAnswer: -58.3, -451\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 103. Let f = 40 - g. Let o(a) = -10*a**3 + a - 1. Determine o(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5)*(-3910)\/(1610\/(-35))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7015 - 4076. List the prime factors of y.\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-15)*(-100)\/70\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1558940258.\nAnswer: 2, 73, 10677673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1917 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*w - 4*h - 5, 2*w = 3*h + 1. Suppose w - 5 = -a. Suppose a*n - 28 + 7 = 0. Solve 5*y - 17 = -n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-43)*z)\/z)**(1\/17) assuming z is positive.\nAnswer: z**(-43\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 981769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hohohoh. What is prob of picking 2 o and 2 h?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 3*t**2 - 3*t + 2. Let h be x(-3). Solve o**3 - h - o + 11 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 78?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7947.741 centuries in months?\nAnswer: 9537289.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4104620.\nAnswer: 2, 5, 13, 15787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + 1.6. Let q = 3 - m. What is the closest to 1\/2 in q, -2\/11, -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 349509715 - 680729715. What is f rounded to the nearest 1000000?\nAnswer: -331000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*n - 2 = 3, n + 13 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -226 divided by 196\nAnswer: -113\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 + 2. Let r be b(0). Suppose -2*o + 2 = -2*k - r, 4*k + 3*o - 20 = 0. Suppose 5*g = -5*z + 5415, -g - 2863 + 685 = -k*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/9438 and 13\/154.\nAnswer: 66066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 15, g: 5}. What is prob of picking 1 g and 3 k?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 20 - 4. Let f(s) = s**3 - 6*s**2 + s + 4. Let p be f(t). Find o such that -p*o - 4*o**3 + 7*o**2 + 4 + 2*o**3 + o**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 1\/4 (b) -2 (c) -0.1 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*k**3 + 61*k**3 + 2*k**2 - 1595*k + 106*k**3 + 69*k**3 + k**2 wrt k.\nAnswer: 1926*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303779891.\nAnswer: 3, 349, 997, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/2))\/(y*((y*y**(1\/5))\/y)\/y*y))\/(y**(-9)*y\/y**(-5\/2)) assuming y is positive.\nAnswer: y**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - 14*c - 20. Let h be m(-2). Solve -2*g = -3*d + h, 3*g + g = 4*d - 32 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -567, -2317, -5225, -9285, -14491, -20837, -28317, -36925?\n\"Answer: f**3 - 585*f**2 - 2*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 880. Let u(l) = -l**2 + 879. What is -3*u(y) + 2*z(y)?\nAnswer: 3*y**2 - 877","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 0*q + 0 - 2*q**2 + 3\/32*q**4 + 1\/480*q**6 + 0*q**3 + 1\/40*q**5. Factor a(l).\nAnswer: l*(l + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqp when three letters picked without replacement from {t: 1, p: 4, f: 2, q: 1, e: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Suppose -23 + 3 = -v*r. Suppose 5*i - 13 = d + 6, -r*i + 17 = d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2057)*3*-6*-1*4*-6 + 5)**2*3.\nAnswer: -28512*sqrt(17) + 1151656707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 6. Let z be t\/(0 - 2\/(-4)). Differentiate z*m**2 - 1 - 1 + 3 wrt m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 24*z**3 + 8*z**2 - 19*z + 9. Is l(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24468 + -24468.01. Let a = -2.7 + -0.3. Put a, v, 2\/13, -1\/2 in increasing order.\nAnswer: a, -1\/2, v, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2295 - -2335. Let z(d) = -d**3 - 7*d**2 - d - 5. Let b be z(-7). Which is smaller: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -427, -429, -431, -433?\n\"Answer: -2*x - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1020741, 1020743, 1020745?\nAnswer: 1020747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 22*i**2 - 437*i + 14054. Give b(26).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 166825 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 2:07 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-93)\/(-33) + (-14)\/(-77). Suppose 5*h**5 + 15*h**2 - 5*h**f - 10*h**4 + h**2 - 5*h**2 - h**2 = 0. Calculate h.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1426 = 5*s, -5*s - 2*j - 2*j - 1429 = 0. Let g = 290 + s. Solve -a - h = 4*h + 21, -g*h - 25 = 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -3*a - 3, -3*a = 2*g - 13. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**3\/3 - 21*u**2\/2 + 135*u + 75. Let d be s(-26). Suppose -3 - 9 = -4*a. Solve -a = m - d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y + 3 - 5 + 0*y + 3. Let k be n(-2). Let j = -1 - k. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 81*d**2 - 18*d. Let c(u) = 23*u**2 - 5*u. Give 18*c(f) - 5*l(f).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + 8*p + 4. Suppose o - 39 = -x, 5*o - 6*x + x - 215 = 0. What is the remainder when o is divided by i(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 15. Let m(n) = s*n**2 + 2*n**2 - n - 10 + 8. Let r be (-15)\/(-6) + 1\/(-2). Determine m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*t**3 + 94*t**3 - 5*t - 64*t**3 - 60*t**3 - 2 + 28*t**2 to y + h*t**3 + f*t + j*t**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, h: 4, c: 4, z: 2, g: 2, v: 1}. What is prob of sequence lhv?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 1. Let y = 17 + -17. Let f = y - v. Which is the nearest to f? (a) 1\/5 (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*d = 0, 2*d - 5 = -2*j + 1. Suppose -j*m - 3*w + 3 = m, -26 = 2*m - 5*w. List the prime factors of 2 - (2 + -16 + m).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -820 = -5*s + 5*h, 5*s + h = 652 + 168. Calculate the lowest common multiple of 8 and s.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 7)*(-3*z**4 + 3*z**4 - 5*z**4) - z**4 + 3*z**4 - 3*z**4.\nAnswer: 14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 14.3. What is the closest to j in 4, -0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1773.107 centuries?\nAnswer: 177.3107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -11000000111010010100000?\nAnswer: -11000000111010010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = -60*m - 363 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 10*t - n = 10, -10*n = -5*t - 40 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253565?\nAnswer: 5, 13, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 4 = -8*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*k + k + 37*k + 7*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27739110 and 465?\nAnswer: 27739110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i - 10. Let r be a(12). Let d = 29 - r. Is 6\/d + (-1161)\/(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129\/76 - -2135\/1672. Find the common denominator of 101\/160 and g.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 14214*x + 99493. Give b(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51002\/9 + 5667. Which is the second smallest value? (a) 2\/9 (b) -297 (c) k (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 11318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 100597441?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 5*b**2 - 3*b - 3. What is w(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*k + 215 = 221, -13 = -5*p - 2*k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 56*a - 51*a = 5, t + 2*a - 1 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*j + 18, 2*j - 2*s = -0*s + 4. Let p(v) = v**2 + 5*v - 8. Let x be p(-10). Suppose 26 = j*u - x. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*o = 48, -b = -4*b + 5*o - 43. Let q = b - -16. Solve 2*w = m - 8 - 3, -m = q*w + 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8417692 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z = 14*z + 212 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -5, 5, -2\/7, -0.052?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (50 + 2)\/((-2)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102213222210 - -2?\nAnswer: -102213222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, 3, 3.2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626*c + 14993 = 767*c + 89237 - 3201 for c.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 13054770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -171 + 28 + 0*s + 60 + 3*s as f + h*s and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.001 + -0.001. Which is the second biggest value? (a) -2\/13 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (6 + -11 + 4 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 10*a**3 - 61*a**2 + 8*a + 6. Give l(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/129300 and -211\/210.\nAnswer: 905100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**1)**(2\/23)\/(m\/(m\/(m\/(m\/((m**1*m*m)\/m)))))**(2\/109))**(-5\/2))**11 assuming m is positive.\nAnswer: m**(-3465\/2507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -12. Calculate the least common multiple of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.054158 and 1.3.\nAnswer: -2.6704054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 q, and 1 v when four letters picked without replacement from nvvqccnqqqv.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 9*u**2 + 7*u + 10. Let s be 8*(-1 - 0)*-1. Let r be f(s). Sort -3, 0, r in decreasing order.\nAnswer: r, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.22 + 0.22. Which is the smallest value? (a) -1\/9 (b) 4\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 161 (b) -5 (c) -3 (d) -1.46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 + 3*o - 4. Let q be p(4). Let k = -16 - q. Let l be 20\/k*(-26)\/(-5). Solve -r - l = -3*z - 2*r, 2*z - 5 = 3*r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-5)\/(-3)*(-88)\/55. Let h = g + 15. What is the smallest value in -5, h, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27791176.85 to the nearest 1000.\nAnswer: -27791000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 7 + 5. Let k = 3\/530 + 131\/265. What is the nearest to d in 0.3, 40, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:53 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 20. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4503057430.29999769 + 4503057479. Let t = 48.7 - b. Round t to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5)*(-185)\/222\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 137\/3, 5, -0.1 in ascending order.\nAnswer: -0.3, -0.1, 5, 137\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhhhlhh. What is prob of picking 2 h?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**3 + i**2 - 1. Let w be b(-1). Let r(y) = -30*y + 153. Let c be r(5). Calculate the greatest common divisor of w and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 5*w**2 + 8*w - 10. Let g be l(6). Suppose 0*c - 68 = -g*c. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(-2) + (-149)\/30 and 9 + (-492)\/90 + (-15)\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - 50. Let r = -8 + d. Let p = r + 3. Solve p = -t + 5*c - 4, 4*t - 3*t = -4*c + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/7)\/((t\/(t**(-10)*t)*t)\/t))**(-6)\/(t**(-8)\/t**1)**(4\/17) assuming t is positive.\nAnswer: t**(8004\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + 2)*-1 - (17 - 36 - 4). Calculate the greatest common factor of w and 13294.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 285 = -5*q, w + q + q = 66. Suppose 2*l - 5*l = -w. Suppose l = 3*p - p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81089*f**3*h**3 - f**3 + 5*h**2 + 876*h wrt h?\nAnswer: -486534*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + g)*(-447*g + 250*g**3 + 447*g) - 4 + 11 - 77*g**4 + 75*g**4 to t*g**3 + b*g**2 + s + d*g**4 + w*g and give d.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - -21. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + (1 - -7 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 3, 4448?\nAnswer: 4448","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 = -4*a + 1944. Is 37 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566 = 33*y - 820. Solve 2 = -11*z - y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -6. Let f = w - -2. Suppose -2*j + f*g = -13, 4*g - 7 - 60 = -5*j. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -57*q + 120. Let s(z) = 60*z - 120. Let v(h) = -6*p(h) - 7*s(h). What is the first derivative of v(m) wrt m?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(sqrt(76)\/sqrt(4)*-1)**2 + -4*sqrt(19)*4 + -1*sqrt(19)*4.\nAnswer: -20*sqrt(19) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -84, -389, -896, -1605?\n\"Answer: -101*n**2 - 2*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 3. Let f be -1 + (0 - 12\/(-3)). Let q be o(f). Let p = q - 10. Let x(i) = 2*i + 4. Determine x(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 + 23901 + 17 + -9 - -6?\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/7 + 925\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4714, 19038, 42980, 76534, 119694, 172454, 234808, 306750?\nAnswer: 388274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 + 18*b**3 - 31*b**3 - 2*b + 20*b**3 in the form c*b**2 + f*b + s*b**3 + y and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15 - -72)*-3*-1. Sort -5, -13, s.\nAnswer: -13, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 10*d + 4. Suppose -7*o + 8*o - 11 = 0. Let h be i(o). What is the highest common factor of 45 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 53. Give x(-14).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 16*o**4 + 188*o**3 + 528*o**2 - 144*o = 0.\nAnswer: -6, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3789443, 7578881, 11368319, 15157757, 18947195?\n\"Answer: 3789438*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20654320 by -17.\nAnswer: -1214960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21309.49ml to litres.\nAnswer: 21.30949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/15 + 35176*g\/15 + 154668872\/15 = 0. Calculate g.\nAnswer: -8794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2551449 is divided by 269.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1*sqrt(162)*-3 - (sqrt(162) - 4*(sqrt(162) + 4)))*-2 + 0)**2.\nAnswer: 6264*sqrt(2) + 24169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1030 and -19.66.\nAnswer: -20249.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 divided by 73292?\nAnswer: -83\/36646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 81. Let b = n + 34. Let i(r) = -r**2 - r + 1. Let l(v) = 19*v**2 + 17*v - 2. Let q(a) = b*i(a) + l(a). What is the second derivative of q(h) wrt h?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 502*v + 46. Let k(g) = 4. Calculate h(q) - 12*k(q).\nAnswer: 502*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1697612, 3395216, 5092820, 6790424, 8488028?\n\"Answer: 1697604*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179362950 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 43326 * 49.7\nAnswer: 2153302.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -233*d**3 + 372*d + 306621 wrt d.\nAnswer: -699*d**2 + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1496\/9 or 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 4, 2\/7, 13, -5, -3.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89480669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x**2 - 3*x**2 + 4*x**2)*(1 + 2 - 5)*(406*x**2 + 7757*x - 7757*x) as h*x**3 + d*x**4 + n*x + a + k*x**2 and give d.\nAnswer: 3248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - 3*g + 3*g + g**2 - g**2 - g**2 + (-3*g + 4*g + 0*g)*(-4*g + 4*g - 2*g) + (-g - 9*g + 2*g)*(0*g + 4*g - 3*g) + 2*g**2 + g - g.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 8*x**2 - 7*x - 5. Let m be o(-7). Which is the biggest value? (a) 1 (b) m (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112608 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-one halves of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 651 + -594. What is the highest common factor of c and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1691*x**6 - 293*x**2 wrt x?\nAnswer: -202920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000057378 rounded to seven decimal places?\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284856063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 468876*m + 54961175844.\nAnswer: (m + 234438)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/16 of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8351*f**2. Let g(u) = u. What is g(d(m))?\nAnswer: 8351*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f + 310. Suppose 2*v + f = 5*l, 2*v - 2 - 6 = 0. Suppose 6*h - 3*h = 165. Calculate the remainder when h is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 3 + 1\/7*u**2 + 0*u**3 + 0*u - 1\/14*u**4. Factor k(l).\nAnswer: -2*l*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 4*b + 5*p, -b - 9*p + 6*p = 9. What is the lowest common multiple of 30 and (8 - 114\/b)\/(2\/4)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 23*j**2. Suppose -4*s + 0*s = 16. Let t = -5880 - -5875. Let r(f) = -4*f + 5. Let y(m) = 3*m - 4. Let l(c) = s*r(c) + t*y(c). Determine l(d(x)).\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 182, 431, 682, 935, 1190, 1447?\n\"Answer: u**2 + 246*u - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284\/14 + (-10)\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 2*-1) + -1. Find the first derivative of 2 - 4*c**4 + 5*c**j - 1 wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5\/4 - 3*o**4 + 15*o**3\/4 + 13*o**2\/2 = 0.\nAnswer: -13, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/81 + 2803\/648. What is the common denominator of 93\/10 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 924*w**2 - 1922*w + 64852. Give d(926).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 5, -0.2, -0.25, -2\/7, -34.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/659343 and -113\/160578.\nAnswer: 43516638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 464 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v - 407 = -2*v + 598 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 + -46. Differentiate a + 2*v - 12 + 22 with respect to v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011202221 (base 3) to base 2\nAnswer: 101101001111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -403*n**3*o**3 + n**3*o - 3756*n**3 - n**2*o + 5*o**3 + 18719*o**2 - 3433*o wrt o.\nAnswer: -2418*n**3*o + 30*o + 37438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) + (-4)\/(-16). Let l(j) = 2*j - 15. Let q be l(10). Solve -q*m + m - 12 = z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**5\/20 + 5*y**4\/12 - y**3\/6 - y**2 - 2*y. Let v be (-13)\/(78\/(-20))*6\/(-4). Give n(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 22 - 1 - r**2 + 0*r**2.\nAnswer: -r**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158173399 divided by 1.\nAnswer: -158173399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47582628 is divided by 945?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 18. Suppose -7 = -4*r - 5*l - 0, 5*r = -4*l + y. Suppose 0 = -c + r*c - 44. What is the highest common divisor of c and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/116566608 and -91\/11808.\nAnswer: 699399648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(528)*-5 - sqrt(528))\/(sqrt(120)\/(2*sqrt(10))))\/((sqrt(144) - 5*1*sqrt(144)) + (-4*sqrt(36) - sqrt(4)) + sqrt(196)*-2).\nAnswer: -8*sqrt(11)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52\/5 - 11. Is -1 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 11*v**2 + 5*v - 8. Let s(y) = -y**2 + 4*y + 2. Let i be s(6). Is 21 a factor of m(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25399513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**6\/6 + 2*g**5\/5 - 2*g**3\/3 - g**2\/2 - 7. Let o(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 14, 1 in decreasing order.\nAnswer: 14, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -1 (b) -7\/8 (c) 0.5 (d) 2 (e) 632\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1414 + 1421. Solve -15 = -r*g + 10*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 16 - 13 = 0. Suppose -h - a*h = -8. Solve -h*w = -3*w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 170543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 81, 120, 157?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6649932 and 246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tet when three letters picked without replacement from teettettettte?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -522822830 divided by 52282283\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 459 = 91. Let o = c - -112. Solve 11 = -o*z + 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-32367)\/(-75474) - (-9)\/21. Let o = f - 55703\/14376. Calculate the common denominator of o and 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(((w*w**(2\/9)\/w)\/w)\/w))*w*w**(-10)*((w*w\/((w*w**(2\/41))\/w))\/w)\/(w*w**11*w) assuming w is positive.\nAnswer: w**(-8423\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -168 - 5613?\nAnswer: -5781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32949, -33068, -33367, -33936, -34865, -36244?\n\"Answer: -15*n**3 - 14*n - 32920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -3)*(189\/6 - 0). What is the greatest common divisor of 42 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8246 - 16583 - 17402 = -870*b + 5619 for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309012930 and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.38 + 4.38. Which is the nearest to 2\/7? (a) n (b) 0.3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/2 + 21\/(-6) + 3. Let i(t) = -t + 1. Let v(p) = -9*p + 8. Give q*i(c) + v(c).\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 f, and 1 w when four letters picked without replacement from {w: 6, n: 1, f: 5, k: 3, t: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*t - 5*c + 1262 + 1571 = -1014, 2*t + 4*c = 12 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.213 rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 13. Let w = 5.99 - k. Let a = 0.0102 + w. What is a rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from {a: 1, b: 4, h: 4, u: 1, e: 9}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*r - 32 - 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 13*r + 12. Suppose v - 2*f - 800 = -3*v, 5*f = r*v - 812. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4 - -8) + -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29259663449.99 less than 0.64?\nAnswer: -29259663449.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*x + 58*x - 59636. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 3*s + s + 95, 3*s = 3*q - 36. Suppose p + 350 - 122 = 0. Let i = -163 - p. What is the remainder when i is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14983 + 1306852.\nAnswer: 1306852.14983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1385 - 27*z**2 - 35*z - 1385 + 96*z - 26*z - 34*z.\nAnswer: -27*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.387, -0.09, -1\/4, -0.51, -0.5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119.1 + 119. What is the nearest to 0.2 in 2, -2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 11 - 11 - 14 - 7*p - 13.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*u - 20, -5*d - 60*u + 62*u - 10 = 0. Solve -102 = -34*y - d*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 89*h**3 - h**2 - 17*h + 47. What is the units digit of c(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -8 - 12) + -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 + h. Let k(a) = -a**2. Let b be ((-24)\/(-3))\/4 - 3. Let p(r) = b*d(r) - 4*k(r). Factor p(q).\nAnswer: q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**6\/30 + 11*u**5\/20 - 11*u**4\/4 + 37*u**3\/6 - 7*u**2 - 9*u + 8. Find s, given that p(s) = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 21 = -21. Let b(j) be the second derivative of -3\/20*j**5 - 1\/2*j**2 + y*j**4 + 0 - j + 0*j**3. What is the derivative of b(g) wrt g?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = z - 672, 2*z = 2*x - 690 - 674. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30533159 + -8420159. Round r to the nearest one hundred thousand.\nAnswer: 22100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 4:42 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -18*y**3 + 34*y**2 - 5*y + 122. Let h(s) = -7*s**3 + 10*s**2 - 2*s + 41. Let d(c) = -8*h(c) + 3*q(c). Determine d(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.2, -12, -25, -6\/5, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 6 = 64. Suppose 0 = 16*i - n*i - 63. Suppose -i*f + 58 + 47 = 0. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 0.5 (c) 14\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*8\/(24\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.056639 - -5.381239. Round j to one decimal place.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(7920) + sqrt(7920)*-1 + sqrt(55)))\/(sqrt(500)*-2*1).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 6*n + 11. Let j be p(8). Let x be j + 2 + 1*-1. What is the units digit of (-2 - x) + 13 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-3*sqrt(180)*1)\/(sqrt(729) - (sqrt(729) + -1*sqrt(729))))\/((sqrt(48)*-6)\/((sqrt(21) + sqrt(189))\/sqrt(7))).\nAnswer: sqrt(5)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*a, 4*d - 2*a - 9 - 1 = 0. Let y(g) be the first derivative of 1\/3*g**3 - d + 0*g + 0*g**2. Let z(t) = -t. Determine z(y(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - -26. Let q be (2 + (-49 - 3))*-1. Let g = q + -38. Calculate the greatest common factor of g and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1164*m**2 - 46*m - 134. Let f be s(-3). What is f rounded to the nearest 100?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 8*z. Suppose 2*y + 12 = -0*y. Let s be w(y). Solve s = -4*o + o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-2\/67)\/(a\/a**(2\/19)*a\/(a*a**(2\/31))) assuming a is positive.\nAnswer: a**(-489\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -2\/3 (b) 0.4 (c) -2\/9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 44 = 24*h - 28. Let y(a) be the third derivative of 0 + 0*a + 1\/60*a**5 + 29*a**2 + 3\/8*a**h + 5\/3*a**3. What is y(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(3\/(-45)*-6). What is the third derivative of -13*v**5 + v**3 - 8*v**5 + v**m + 10*v**2 wrt v?\nAnswer: -1200*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 18*p + 40 = 0. Suppose -4*x = x - 2*m + 80, -p*x = -m + 80. Suppose -3 = -2*r - 33. Which is greater: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + u + 12 - 9 - 4. Let n(i) = 3 + 3*i + 4*i - 4*i + 0*i. Give 2*n(y) + 5*w(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 3*b - 55.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -5. Suppose 2*t - x*t + 76 = 0. Is t - (3 - 4)*-3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 299425*x**2 + 2395640*x - 4791440.\nAnswer: -5*(x - 4)**2*(x + 59893)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -18606995?\nAnswer: -14885596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/6 (b) -2\/199 (c) 1\/97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 - 17 = 5*s. Let v(f) = -2 - 10*f + s*f - 3*f + f**2. List the prime factors of v(-15).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2130 is divided by 101.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7558*y = -7554*y - 40 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18\/5 or 828?\nAnswer: 828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 598725 to the power of 1\/2, to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344423.\nAnswer: 344423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331478?\nAnswer: 2, 7, 23677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103.6 + -6.4. Let m = a - -115. Let n = 1\/4 - -1\/4. Is n at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3732066.\nAnswer: 2, 3, 13, 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 37 - 20 - 17.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - (5 - 65 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*t**3 + 10*t**2 + 75*t wrt t?\nAnswer: 36*t + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 13*h**2 - 10*h - 22. Calculate the smallest common multiple of 198 and d(-12).\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 19*o**2. Let m(u) = -6030*u**2. What is m(p(x))?\nAnswer: -2176830*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 75 - 2*d + 36.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 - j - 1. Let t be l(-1). Let g be ((-21)\/(-7))\/(6\/t). Factor -g*b**3 - 1\/2*b + 0 + 5\/2*b**2.\nAnswer: -b*(b - 1)*(4*b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3723053, -5, -2 in descending order.\nAnswer: 3723053, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -14. Let f(w) be the second derivative of 0 + 1\/2*w**n + 2*w + 1\/3*w**3. What is the first derivative of f(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14381 - 9525. Let o = 8309 - k. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 4*k)*(-91*k + 17*k - 66*k) + 0*k**2 - k**2 - 2*k**2 + (k + 4*k - 6*k)*(-4*k + 0*k + 3*k).\nAnswer: -282*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.6 and -2?\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/209 + 6065\/418. What is the common denominator of m and -49\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1 (c) 0.2 (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*j + 59*j - 384 - 210*j.\nAnswer: -41*j - 384","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-17)*i**(-25)*(i*i**(-2)\/i)**(2\/53) assuming i is positive.\nAnswer: i**(-2230\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(110))\/sqrt(2))\/((sqrt(66)*3)\/sqrt(6)).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3. Let p(v) = -v**2. Suppose -4*n + 2*g = -2 - 2, 4*n - 2 = 3*g. Let a(x) = n*p(x) + 3*i(x). What is the third derivative of a(q) wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6043752 divided by 10296?\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217457 is divided by 2014?\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaaajja. Give prob of sequence ja.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - (-3 + 9)) + -3. Let l(y) be the third derivative of -y**6\/120 - y**5\/20 + y**4\/6 + 4*y**2. Calculate l(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 191815 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/7 (b) 10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 68*p**2 - 26*p - 17. Let u(l) = -25*l**2 + 9*l + 6. Determine 6*g(b) + 17*u(b).\nAnswer: -17*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from qqqjqqqjwjmq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Suppose -7*w = -u*w. Which is the nearest to w? (a) -5 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3641153 is divided by 143.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5230 - 2618 - 2612 + 63*m.\nAnswer: 63*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3017*7\/(-28) + (-1)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/3 + 2140*c\/3 - 1432.\nAnswer: 4*(c - 2)*(c + 537)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -75, -156, -295, -510, -819?\nAnswer: -1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 8 - (-5 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -16*m - 1. Let r be k(-2). Suppose 2*x = -3*y + r, -4*x + x = 4*y - 45. Solve -3*n + 0*n - x = -5*v, -v = 2*n - 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*b - 116. Does -74 = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 4\/5. Let b = -30.3 + 29.9. Put b, d, -3\/8, 4 in decreasing order.\nAnswer: 4, d, -3\/8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -201, 0.4, 2\/3979, -2 in descending order.\nAnswer: 0.4, 2\/3979, -2, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*r - 10 = -340*r. Let i = 7.6 - 7.8. What is the nearest to r in i, -1, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -3, -52, -143, -288?\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 167?\nAnswer: 8\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 9\/((-27)\/30). List the prime factors of (47820\/(-40))\/(p\/(-6)).\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 2:26 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-50)*(-73)\/(-21681)*99)\/(3\/(-3))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2\/4 - 21336664*f - 85346657\/4 = 0 for f.\nAnswer: -1, 85346657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-0.3\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15986100 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 9:59 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.7533 rounded to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -7\/3, 0, -0.1, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 6 = -4*s + 10, 6*w + 265*s + 72*s - 1299 = 94*s + 669 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10250806 divided by 5125403\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3855*r**2 - 438*r + 438*r + 5466*r**2.\nAnswer: 9321*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 211 + -208. Suppose -2999 - 202 = -3*b + 4*t, v*b - 3198 = 3*t. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(270\/(-81))*(40\/(-6) - 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -139*f - 5275. Determine h(-38).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 take away -0.33?\nAnswer: 288.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2583 smaller than 11521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - 1.4. Let t = -1.5 - z. What is the nearest to t in 0.3, 1\/9, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-13 + 23 + 2)) + 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -7. Suppose 5*v = 6*v - r. Let u be (-28)\/(-14)*(0 + 1). Solve 5*j - u = v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 - 16 - (-2 - 0) - 6\/(-1). Put -3\/14, w, -2 in descending order.\nAnswer: w, -3\/14, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*b**2 + 54*b - 4223.\nAnswer: 36*b + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210682 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 4*o**2 - 4*o + 7. Let d be w(-5). Find q such that -1\/2*q**3 - 1\/2*q + q**d + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 8. Let g(z) = 3*z - 8. Let d(w) = -4*a(w) + 3*g(w). Let p be d(-6). Suppose 0 = 3*s - p - 22. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 2:15 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20005466?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 801070043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -31, -51?\n\"Answer: -20*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2) - 180084\/(-247434). Let a = -2\/3749 + t. What is the common denominator of a and -3\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14484267?\nAnswer: 3, 7, 61, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**5\/6 - 31*l**4\/4 + 1062*l**3 - 296*l**2 - 2*l. What is the first derivative of f(z) wrt z?\nAnswer: -20*z - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14406 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (103\/((-13390)\/(-1326)))\/(6\/(-15) - 4\/(-20))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**3 - 3*k**3 + 4*k**3)*(1 + 2 - 1 + (0 - 2 + 1)*(0 - 4 + 5) - 3 + 4 + 0 + 2 + 0 - 1 + 4 - 3 - 3 + 7 + 19 - 5).\nAnswer: -88*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.589 + 4.589. Let o = -500\/3 - -170. Which is greater: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 5*x - 2. Let b be t(4). Let p = -611 + 611.4. Sort b, p, 0 in descending order.\nAnswer: b, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2146*b + 2165*b = 3863669. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4*b - 60, 3*a - 4*b + 0*b = -84. Let c be ((-5)\/(-3))\/((-8)\/a). Suppose 4*w - 83 = 3*q, 5*q = 2*q - 3. Solve c*u = -0 - w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u = 18. Let p be u\/2*(-2)\/2. Suppose 4*o - 2*l - 2 = 0, 4*l = -2*o + 3 + p. Solve 2*d - 6 = 4*v, -3*v + 5 = -5*d - o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1272697 divided by 1\nAnswer: -1272697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.8 + -13.807. Round y to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -925, -1750, -2513, -3214, -3853?\n\"Answer: 31*v**2 - 918*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 - 27*a + 31 + (1 - 4 + 5)*(-5 - a + 5)*(-1 + 4 + 1) to p + b*a and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*f**2 + 5 + 7*f + 0 - 12*f**2 - 3 - 2*f**4 - 2*f**3 in the form o + h*f + q*f**4 + p*f**3 + m*f**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -107, -2\/3?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173 or -42?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(844 - 844 - 956*s).\nAnswer: 956*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43476127 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a tonne in kilograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 531, -23, -20, 0.\nAnswer: -23, -20, 0, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*f + f - 28*f**2 + 29*f**2 - 129*f + 9 + 52*f.\nAnswer: f**2 - 114*f + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*p + 8. Let z be 8\/p - (-147)\/(-5). Let j = z - -41. What is the lowest common multiple of j and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/25920 and -79\/12720.\nAnswer: 1373760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2) - (75\/(-10) + 3). Suppose n*o - 36 = 51. Is o a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 9 = -2*p - 27, 0 = -l - 4*p - 18. Suppose -3*w + 616 = 2*h + 2*h, 4*h - w - 632 = 0. Let n = l + h. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10237 + -7809. Calculate the remainder when w is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258 is divided by 161?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (348\/(-145))\/((-3)\/5). Solve -v**m - v + 1\/4 + v**3 + 3\/4*v**2 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 12*o**2 - 2*o + 18. Let m be w(12). What is the least common multiple of 16 and (-1)\/(-2) - 45\/m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*g = -172*g + 344. Let x = g - -377. What is the remainder when 525 is divided by x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896019821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64760 + 92290. What is d rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 111\/2112997?\nAnswer: 111\/2112997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -e583 (base 16) to base 4\nAnswer: -32112003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 30*r**2 + r. Calculate the remainder when b(2) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/sqrt(5))\/sqrt(11) + -5)**2.\nAnswer: -10*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1351*i*y**5 + 59*i*y - 2365*i - y**5 wrt y?\nAnswer: 27020*i*y**3 - 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -6 - 6. Let f be s*-11 - 33\/(-11). Let b = -17 - f. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 17 = -2*k, -5*k - d = 3*d - 32. Which is the nearest to -1? (a) 2\/7 (b) k (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 24*j**2 - 53*j**2 + 32*j**2. Let u(x) be the second derivative of -5*x**4\/4 + 12*x + 9. Give g(u(n)).\nAnswer: 675*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 12:46 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3 = -2*b - 11, -30 = -5*i + 5*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 7*r - 25. Suppose -11 = -r*u - 1. Suppose 0 = -3*x + 4*l + 1 + 7, 4*l + 8 = 0. Solve c = -x + u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3713487128 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 46*h - 342. What is a(10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8961.695 litres to millilitres.\nAnswer: 8961695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 6*b**2 - 13*b**2 - 2*b**2 + 10*b**2 + (b + 4*b - 4*b)*(2*b + b - 2*b))*(1 - 5 + 3).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -6, -0.056, 1.6, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14772.857 rounded to the nearest ten?\nAnswer: -14770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 17*g**3 + 25*g**3 - 60*g**3.\nAnswer: -18*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.2, 1, 3\/2, 16\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -18337*m + 3263988. Give q(178).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 - 57\/(-12). Let h(a) = a - 7. Calculate h(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95.01 - 11.\nAnswer: -106.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1154 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**2 + 26*l - 93. Let y be c(15). Does 2 divide (4\/(-3))\/(1*(-24)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2150926 and -5\/6.\nAnswer: 6452778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydqqyqqdgyqd. Give prob of picking 2 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6391 - -6394. Sort -0.5, -1\/10, n, 2\/7, 1\/2 in decreasing order.\nAnswer: n, 1\/2, 2\/7, -1\/10, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 43 - (18\/27 - (-32)\/6). Suppose -t*q = -3*q - 259726. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q**2 - 163*q + 51. Give a(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462 and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k\/k**(1\/4))\/k)**(1\/5))**38)**(-20) assuming k is positive.\nAnswer: k**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 19*l - 16. What is the units digit of v(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*h)*(2*h**4 + 2*h - 2*h + (2*h**2 - 2*h**2 - h**2)*(-81*h**2 - 82*h**2 - 51*h**2)).\nAnswer: 648*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 248317440 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 1. Suppose -3*q = -6*q - 12. Let a be s(q). Suppose 5*f + 5*p - 1090 = 0, a*f + 4*p + 912 = 7*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115514181?\nAnswer: 3, 475367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 494.\nAnswer: 1976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-442) + 446\/2899\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 16 = 2*u. Suppose 1487*w - 1502*w + 225 = 0. Which is the nearest to 2\/5? (a) u (b) 0.4 (c) w (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -680 + 683. Solve 3*p - m - 3 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 16 = -4*m, -5*s - 4*m + 10 = -6. Find the second derivative of -14*g + 0 - 6*g + s - 21*g**3 wrt g.\nAnswer: -126*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98990 * 0.182.\nAnswer: -18016.18","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*q - 5*r, 3*q - 3*r - 13 = -34 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*s, 4*r = -3*s - 1662 - 720. Is -594 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-606)\/(-9) - 2\/(-3). Let g = -381 - -568. Calculate the greatest common factor of u and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 + i**2 + i - 1. Let q be b(1). Let j be 50\/(5516\/5520 + q). Round j to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2 + 16. Let p = 13 - a. Suppose -p*q - 4*h + 884 = 0, h - 1 = -5. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*y - 43 = 81, 2*w - y = 59. Let v(i) = 8*i - 17. Calculate the remainder when w is divided by v(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/4)\/(4\/(-8)). Suppose -3*l + 4 = -2*w, l = 5*l - 16. Let y = w - 2. Solve z*n - y*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17346561400 to the nearest 1000000.\nAnswer: 17347000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000107 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10693 is divided by 191.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 15. Suppose -115 = -7*i - 10. Let o be x(i). Let t(c) = c**2 + c + 2. Give t(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3.1. Let a = 3.943 + -0.013. Let u = a + 0.07. Sort u, 1, q.\nAnswer: q, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8 = t, 2*t - 13 = -p - 0*p. Suppose 3*o = 0, 0*o - 3*o = t*l - 10. Let s be ((-8)\/(-8))\/((-1)\/1). Sort s, l, 4.\nAnswer: s, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -14 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqnnnqqqnnnnnnqnq. Give prob of sequence qn.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1 + 15*t**2 + 3*t**2 + t**2. Suppose 6*z - z - 3*v - 8 = 0, -2*z + v = -3. Let i be f(z). Solve -c = -6*c - i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**19\/(v\/v**(-4\/5)) assuming v is positive.\nAnswer: v**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*q - 23205 = 315236 - 55541. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.005153 to one decimal place.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8*q + 7 = o, o = -q + 3. Which is the fourth biggest value? (a) -1\/4 (b) 0.1 (c) o (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/5 + 141*o**2\/5 + 516*o\/5.\nAnswer: 3*o*(o + 4)*(o + 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -32. Suppose -714 = -q*s + 5022. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2861 divided by 2861.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(270))\/sqrt(9))\/((sqrt(80) - sqrt(80)*-2)\/sqrt(8)) + (sqrt(192) - (sqrt(192) + (6*(sqrt(192)*-2 + sqrt(192)) - sqrt(192)))) + -2)**2.\nAnswer: -664*sqrt(3)\/3 + 27568\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 603457607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3594602363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06075362286 to 4 dps.\nAnswer: 0.0608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 1, h: 1}. What is prob of picking 1 y and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22\/7, 202, -0.5?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*g + 20, 15*g - 11*g = 3*m - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 15*f - 5. Let t be v(7). Let b(h) be the third derivative of 0*h**4 + 0*h - 1\/2*h**3 + t*h**2 - 1\/20*h**5 + 0. Differentiate b(j) wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v - 40 = 33*v. Solve -12*r - 10 = -v*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19573\/22 at most 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -1396478.2 and 0.025.\nAnswer: -1396478.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -474 (base 11) to base 2\nAnswer: -1000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2. Let x(w) = -2*w**2. Let i(z) = -3*n(z) + 7*x(z). Let p(s) = 4*s**2 - 9*s. What is i(p(k))?\nAnswer: 16*k**4 - 72*k**3 + 81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5829912 divided by 1683?\nAnswer: -3464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**4\/12 + 2*m**3\/3 - 9*m**2\/2 + m. What is the remainder when 33 is divided by z(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35094036 - -1232.\nAnswer: 35095268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 5:23 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -12. Let s = 5.288 - 5.1. Let t = s + 0.312. Which is the nearest to v? (a) t (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -6. Let v = 6 - a. What is the second derivative of 3*g**4 + v*g**4 - 4*g**4 + 2*g - 6*g wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((72\/27)\/(-2))\/((-3)\/((-6)\/52))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 9*o + 25. Let y = 1 - -9. Does 15 divide u(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 262?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 264.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136185 is divided by 130.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-1) - (568 + -2). Suppose -28 = -12*f + 11*f. Let b be (-21)\/f - k\/8. What is the highest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2252 = -5*q - 0*q, -5*q - 1096 = -2*u. Suppose 10*l - u = -158. Let s(p) = -5*p**2 + 35 - p**3 - l - 3*p**2. What is s(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + -1 + 5)**2*4.\nAnswer: 352*sqrt(19) + 9260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163118881.\nAnswer: 29, 5624789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 674425*w**3\/2 + 18952073127*w**2 + 355051296626022*w + 88761639657204.\nAnswer: (w + 56202)**3*(4*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2901 is divided by 242?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8009 + -0.1991. Sort -0.24, 2, 6, s.\nAnswer: s, -0.24, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7855 is divided by 560.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22505 is divided by 7495?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/9, 0, 3, 5, -0.05 in ascending order.\nAnswer: -0.2, -0.05, 0, 2\/9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 6*t**2 - 10*t - 25. Give f(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (5 + 33 - 22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*9*78\/27\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266 by -19.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12651313.\nAnswer: 12651313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71846261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**6\/120 - 2*o**5\/15 + 5*o**4\/24 + 5*o**3\/6 + 13*o**2. Give n(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4005, 3972, 3903, 3780, 3585, 3300, 2907, 2388?\nAnswer: 1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5285*x + 1. Let a(c) = 2*c**2. What is a(m(j))?\nAnswer: 55862450*j**2 - 21140*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2220375*w**2. Let p(g) = -2*g. Determine p(c(o)).\nAnswer: -4440750*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 7185\/360)*-6*-212*1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-15)*(-75)\/(-60).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l - 115. Let j be 483\/(-21) + (-7 - -1). Let p = j + 35. Calculate the remainder when l is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s - 4. Calculate a(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-30))\/((-2)\/10). Let i = 2.96318 - 0.96318. Which is the fourth biggest value? (a) h (b) -1 (c) i (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14853293*x**4 + 10294871*x?\nAnswer: -178239516*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/120*10\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 15 - 2*t**3 - 36 + 1.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33347473 and 1271.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 272*h + 20*h**2 - 9 - 20 - 256*h + 2*h**3. Let o(a) = a**3 + 10*a**2 + 8*a - 14. Let k(p) = -5*o(p) + 2*s(p). What is k(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*h - 52, -5*h - q - 41 = -145. What is the lowest common multiple of h and (-1)\/(-4) + (-92)\/(-16)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 divided by -7?\nAnswer: 118\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1260.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 6. Suppose 10 - 54 = 4*r + q*u, 11 = -r + 2*u. List the prime factors of -2 + 1 - r\/1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/(280\/100).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 - -93. What is the third biggest value in -0.06, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(104) + sqrt(104) + sqrt(104)*-1 + sqrt(104))\/sqrt(2))**2.\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-40)*6 + 1\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 8*r**2 - 23*r + 18. What is b(10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48.377541 - 45.37781. Let f = s + -4.96989. Let g = 1.97 + f. Round g to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1877508071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1071)\/105 - (110\/200 - 5\/(-20))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 4*v + 9. Calculate the remainder when 240 is divided by q(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*h + 383 - 403, 0 = 3*l + 5*h + 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Solve -8*v + y*v + 4*q = 21, 0 = -2*v - 3*q - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -186 - -280. Suppose 0 = 4*y + 5*b + 108, 2*y + 3*y - 4*b + g = 0. Is (-34)\/(-187) + (-20434)\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.93 - 249863387123.\nAnswer: -249863387118.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 18*y**2. Let h(v) = 41*v**2. Determine s(h(i)).\nAnswer: 30258*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/60 + v**5\/20 + v**4\/8 - v**3\/6 + v**2. Let x(a) = -a**3 - a**2 - a. Give p(u) + 3*x(u).\nAnswer: -u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 230 = 5*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 10*c + 10. Let m be j(18). Calculate the remainder when (m\/(-21) - -7)*-261 is divided by (-2)\/(-5) + (-436)\/(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/98 + -55\/98. Is o bigger than -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12319854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-114)\/(-22) - 20\/110. Solve z*k - 25 = -0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68282 is divided by 17056.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(4 + -7 - -2). What is the third derivative of 0*i**2 + 3*i**6 + 13*i**6 + i**h - 4*i**6 wrt i?\nAnswer: 1440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*s**5 - 22200*s**4 + 1232084*s**3 + 3552*s**2 - 197136*s = 0 for s.\nAnswer: -2\/5, 0, 2\/5, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/1132, 5\/4, 0, 2\/7, 5 in decreasing order.\nAnswer: 5, 5\/4, 2\/7, 0, -1\/1132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35004342*j**2 + 574086*j - 3?\nAnswer: -70008684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-3)\/(-9) + 8\/(-6)). Solve -r*m + 5*k = 0, -5*m - 6 = -k - 28 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/4 of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/2 (b) -0.3 (c) 95\/12 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let i(s) = 2*s**2 - 1289*s. Give b(i(j)).\nAnswer: 2*j**2 - 1289*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 2:23 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000033639785 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k. Let q(m) be the third derivative of m**8\/6720 + m**5\/12 - 4*m**2. Let v(t) be the third derivative of q(t). Determine v(w(a)).\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7*v**3 + 0 + 2\/7*v + 4\/7*v**2 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30266, 60590, 90974, 121418, 151922, 182486, 213110?\nAnswer: 243794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -1)\/(3\/(-24)). Suppose -f = f - a. Let x(h) = h**2 - 5*h + 6. Give x(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9*h + 147. Calculate c(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -175 - -175.2. What is the nearest to -1 in 131, -1\/10, 2\/7, c?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0 + 7*j + 8 + 4*j. Let c(o) = -7*o - 5. Let u(x) = 8*c(x) + 5*n(x). Let d(z) be the second derivative of z**3\/6 - z. Give d(u(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (5 - 0) - 2) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 times 95344?\nAnswer: -106785280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 1. Let o(q) = -q**2 + 30*q + 17. Let n(l) = -6*m(l) + o(l). Calculate the remainder when 597 is divided by n(23).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 18*v - 6. Let k be z(-15). What is the second derivative of -36*q - 2*q**5 + k*q + 0*q**5 wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-2) + ((-3808)\/76 - 6\/(-57))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0, 0.1, 1\/172, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/1)\/(-1 - 1). Suppose -b*s = -4*s. Suppose 5*h - 78 - 22 = s. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1745*-1\nAnswer: -1745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 926684*a - 4*u = 926685*a - 44, 0 = 2*a + 2*u - 70 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*x = 14, 0 = 2*j - 4*x - 6 - 10. Suppose j = -2*t - 8. Let r be (-8)\/(-20)*t\/(-4). Which is the smallest value? (a) 0.2 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -21. Suppose -4*n + 2*n + q = 0. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (68289\/(-515))\/((-2)\/(4*5)).\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1967226 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 7*m**2 - 10*m + 20. Let a be o(8). Suppose -4*i = -7 - 13, -a*f + 1645 = 5*i. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from lliliilliliii.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.838978922+0.06\nAnswer: -0.778978922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (-1*sqrt(136) - sqrt(136))*-1 - -1*sqrt(136)*1)\/(-5*sqrt(72) + (-2*1*sqrt(8) - sqrt(8))).\nAnswer: -2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/2 - 3561249*k - 4227498146667\/2.\nAnswer: -3*(k + 1187083)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1421 = -371. What is the common denominator of 7\/(m\/(-355)) + -6 and 14\/8*(-6)\/28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 690*f + 264 - 3215*f**4 + f**3 - 689*f - 2*f**2 + 3216*f**4 to the form j*f**3 + n*f**4 + a*f + u + b*f**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -419 - -413. Let a be ((-2)\/(-3))\/(165\/(-45)). What is the fourth biggest value in a, -1\/8, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - (-897)\/(-2))*(533 + -575)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22481155 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1273905 and 509562?\nAnswer: 2547810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/11*498\/1494.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4342 = -4*n, c - 4*c + 13086 = -3*n. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*1*-3 + sqrt(170) + -5*(sqrt(170) - (-5*sqrt(170) - sqrt(170))))\/(3*sqrt(1210) - (4*sqrt(360) + sqrt(360))).\nAnswer: -37*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 = -0*g - o, 5*o = 5*g - 10. Let l be -2 + (2 - (-2 - g)). Determine n, given that 8*n + 6 + 1 + l*n**2 + 1 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s. Let y be h(-9). Let f = 58 - y. Calculate the remainder when f is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 72 = -2*b - 4*n, -2*b = -2*n - 92. Let w(y) = -y**2 + 39*y + 128. Let r be w(b). Solve -3*l = r*l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 18*k**3 - 15*k**2 + 15*k - 12. Let q(u) = -u**3 + u**2 - u + 1. Give l(x) + 15*q(x).\nAnswer: 3*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, -1, 1.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1387 is divided by 417.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.706769ml?\nAnswer: 0.004706769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2110 is divided by 264?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 8 + (-41 - -66) + -35 - 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + ((sqrt(416)*-3)\/sqrt(2) - (sqrt(156)\/(sqrt(588) + sqrt(12) - sqrt(12))*-1)**2))*3.\nAnswer: -402\/49 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3177188, -6354377, -9531566, -12708755, -15885944, -19063133?\n\"Answer: -3177189*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q + 26*q + 19*q - 2879 = 59*o - 219*o, -4*o = 2*q - 70 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2797 in -5, -3\/5, 8, 3, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 13, 8, -11, -50, -115, -212?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2859, 5682, 8503, 11322, 14139?\n\"Answer: -s**2 + 2826*s + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 9347?\nAnswer: -12\/9347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002369541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2 + 17*r - 3. Let y(x) = x**2 + x. Let f(l) = -s(l) - 4*y(l). List the prime factors of f(-19).\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (349*j - 85*j - 87*j + 732*j + 261*j)*(j + j + 0*j) as o*j + l + y*j**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(-252)\/(-567)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express a + 12*a - 4*a - 2*a + 3 in the form p + c*a and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*q - 24 = 0, 2*q + 2*q = -5*h + 38. Let y(d) = -d + 8. Let l be y(h). Find the third derivative of -r**2 + 3*r**3 + 0*r**2 + l*r**2 wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 9:00 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2600740.2 * -3.\nAnswer: -7802220.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**10)\/k**(2\/7))\/((k\/k**(-6))\/k*k**(-1\/7)\/k*k*k) assuming k is positive.\nAnswer: k**(-113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14924049103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2660141 by 2959.\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m + 304. Let o(y) = y - 152. Let b(x) = -6*a(x) - 13*o(x). What is the units digit of b(32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1494 and 39894946?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 517839670 to the nearest integer?\nAnswer: 22756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -1\/60*n**5 + 1\/3*n**3 - 5*n**2 + 0*n**4 + 0*n + 0. What is the first derivative of l(z) wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -109, -1202, -2281, -3340, -4373, -5374?\n\"Answer: m**3 + m**2 - 1103*m + 992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18785\/7 + -2691. Let p = k + 475\/63. Let t be 6\/(-8)*-1 - 1. What is the fourth biggest value in 1\/6, t, 1, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 10:04 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 6*n**2 - n + 3. Suppose -38 = -2*r - 2*i - 0*i, -r + 3*i = -23. Let z = 14 - r. Let w(o) = 2*o**2 + 11*o. Let k be w(z). Calculate b(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 5 - 5) + 0 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*d**3\/17 + 1042*d**2\/17 + 33440*d\/17 - 1348696\/17.\nAnswer: -2*(d - 38)**2*(13*d + 467)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 180 = -11*o. Suppose o = 2*r + 3*k, 4*k - 21 = -6*r + 3*r. Solve -15 = -6*m + r*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5552.8 rounded to the nearest ten?\nAnswer: -5550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9.4 times 92710\nAnswer: 871474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21641 + 43273 - 21637 + 91*r to the form f + q*r and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 4*t**2 - 124*t + 17. Determine u(13).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -24 + 13 + -13 + 18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + (94 - 88).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -466081, -466087, -466097, -466111, -466129, -466151?\n\"Answer: -2*o**2 - 466079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f - 45. Let x be r(10). Put 1, x, 0, 4, 17 in decreasing order.\nAnswer: 17, 4, 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (189\/(-81))\/(322\/2484)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**4 - 1268*d**3 + 161552*d**2 - 1759488*d = 0.\nAnswer: 0, 12, 158, 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/(-2*(-3)\/(-54)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 - 498976*c**3 - 1496904*c**2 - 1496896*c - 498964.\nAnswer: -4*(c + 1)**3*(c + 124741)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g - 4 = -5*w, -2*w = 2*g + 2. Let n(k) = -2*k**2 + 3*k - 3. Let b(q) = 2*q**2 - 2*q + 2. Give g*b(j) - 2*n(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/16759?\nAnswer: -14\/16759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 10*d**2 - 8*d + 54. Let v be g(10). Is v not equal to -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, -4, -7757, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 4334?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -7. Let b(q) = -8*q. Let j(o) = o. Suppose 3*x + 4*z + 30 = 0, -4*x = 3*z + 18 + 15. Determine p*j(l) + x*b(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55589, 111176, 166761, 222344, 277925, 333504?\nAnswer: 389081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/5 - (162\/15)\/(-6). What is the biggest value in u, -2\/3, -3, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54)\/(-12) - 9\/6. Put h, -2, 18.8, -1 in decreasing order.\nAnswer: 18.8, h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 24 = 46. Let b = 32 + -35. Let w = b - -9. Solve -y*h = 2*h - 2*p - w, 2*p = -4*h + 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = d - 53, -2*d + 159 = -26674*a + 26672*a + d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615947 is divided by 615940.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/11135?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzjjzkjizkjjjzjjkji. What is prob of sequence kzz?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*c**2 + 9 - 3 - 6 to the form t*c**2 + h*c + w and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -152 or -13\/6?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -218\/9 - -4049\/198. What is the common denominator of m and 43\/142?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -617 take away 1.8?\nAnswer: -618.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6627237.\nAnswer: 3, 2209079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/111940 and 97\/4470.\nAnswer: 50037180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 255325 and 17229331?\nAnswer: 430733275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54288, -54116, -53944, -53772?\nAnswer: -53600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36665*w**2 + 456*w - 62541860?\nAnswer: -73330*w + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 59.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - 5*l**2 - 5*l - 23. Let j be q(7). Let t = -810 - j. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69.77 - -72.77. What is the second smallest value in j, 0, -1\/2, -1, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 - 4.4. Sort -4, u, -0.5 in increasing order.\nAnswer: -4, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 57 - 12) + 2 + -7 + -9.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**4 - 3*s**4 - 2*s**4 - 2*s - 1 + 8*s**3 - 6*s**3 to the form y*s**3 + n + d*s + b*s**4 + u*s**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (70 - 149 + 77 + 5*z)*(3*z**2 - 4*z**2 - 3*z**2) in the form w*z + d + r*z**2 + y*z**3 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -684*g - 27. Let u(v) = 686*v + 33. Calculate 4*u(d) + 5*z(d).\nAnswer: -676*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1252? (a) -3 (b) 0.2 (c) -37\/6 (d) 0 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7095792 a multiple of 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 3*i - 30 = -19*x, -x + 15 = -i. Is (1 + x\/(-6))*15218\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*f**2*l + 2*f**2 + f*l + 96*f - 37576*l wrt f.\nAnswer: 20*f*l + 4*f + l + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (8 - 4) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = -d - 5*u, -2*d + 5 = -3*u. Let m(v) = -2 - 5*v + d + 3*v. Let j be -4*(-1 - 2\/(-4)). Calculate m(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and -0.2?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2450.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7302.012 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-36)\/24))\/(4\/(-15))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/((-360)\/(-27))*1*(-70)\/5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/6)\/((-7)\/42). Let x(c) = -3*c + 5 + 0 + 6*c - 2*c. Let k(i) = -1. Calculate d*k(b) - x(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -5565.2.\nAnswer: -5561.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 7 - 2. Let g be (88 - -3 - o) + 2. Suppose 3*s = g - 27. Solve 0*l - s = 5*j - 3*l, -j - 5 = -l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-4))\/((-795)\/3180).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2721 + 1647 = 2*f. Let t = 11 + -8. Suppose -t*h + f = 3*b - 5001, -5*h = -4*b - 11957. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -9. What is the remainder when 31 is divided by (-5)\/10 - (-92)\/t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 31*i - 106. Suppose -17*r = -10*r + 189. Let v be g(r). Solve 0 = 5*q - v*f + 5, q + 5*f - 27 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 16 - 1414*r - 2 - 6.\nAnswer: -1414*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -25162\nAnswer: -3\/25162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -21?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4 + 32*u**3\/9 + 350*u**2\/9 - 284*u\/9 - 80\/9 = 0. What is u?\nAnswer: -4, -2\/9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 332*k**2 + 1501*k**2.\nAnswer: 1833*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x + 294. Let f be q(-16). Solve -33*n + 8*n = f for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1 plus -0.285?\nAnswer: 10.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10970 and 4.31?\nAnswer: -47280.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -49.6028 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72720 - -37?\nAnswer: -72694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 136*l + 898. What is i(-7)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12221 - 12011?\nAnswer: -102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*n*s**4 + 2*n*s**3 - 43*n*s**2 - 164*s**4 - 42*s**2 wrt s.\nAnswer: -288*n*s + 12*n - 3936*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (-2 + 3 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, 5, 14.\nAnswer: -12, -4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) + sqrt(76) + sqrt(76) + -1*sqrt(76)*3 + sqrt(76)))\/(sqrt(144)\/sqrt(4) + sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5442202 - 0.0732.\nAnswer: -0.6174202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 3 (c) 0.044 (d) 4 (e) -0.2 (f) -54\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*i + 16. Let v(y) = 27 + 22*y - 29*y - 12*y**2 + 13*y - i*y**3. Is v(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101 - -186. Let f = z + -46. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q**2 - 944*q + 6879. What is f(97)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i. Let q(h) be the first derivative of -h**3\/3 - 3*h - 5. Let a(c) be the first derivative of q(c). Determine a(l(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 = -14*j - 322. Let o(m) = -m**3 + 14*m**2 - 11*m - 18. Determine o(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1279, 1355, 1497, 1717, 2027, 2439?\n\"Answer: 2*t**3 + 21*t**2 - t + 1257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -53. Let w(o) = -9 + 4*o**2 - 7*o - 2*o**2 + o**2 + o**c. Calculate the remainder when 75 is divided by w(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, 66, 2 in descending order.\nAnswer: 104, 66, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 19*d - 18. Solve 2*y - 2 = -d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2. Let f(k) = 8*k - 4. Let s(a) = -2*f(a) - 4*u(a). Let x(z) = -z + 1. Let j(v) = -7*v + 6. Let l(r) = -j(r) + 6*x(r). Give l(s(h)).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18117 - -19488517.\nAnswer: 19470400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1725, -0.4, 0 in increasing order.\nAnswer: -0.4, 0, 1725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 1846.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 1616499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.35 (b) 1 (c) -1\/7 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 1) + -8 + 6 + (-7 - 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -5*z. Let x be (9\/(-6))\/3 + 1. Let l = 0.6 - -1.4. Which is the nearest to l? (a) 2\/5 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 48\/5 of a gram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -18 - 4*u + 2*u + 0*u. Let d be k(-8). Let g(h) = -11*h**3 - 3*h**2 - 2*h. What are the prime factors of g(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1026030914*u**3 + 1011504608*u wrt u?\nAnswer: 6156185484*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 47*x + 42 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 906 - w**2 + 3*w**3 - 907 - 22*w**4 - 5*w + 5*w - 2*w to m*w**4 + g + r*w**3 + j*w**2 + o*w and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 37 - (1 + 0 - -2). Suppose 27 = -f - 5*a, -a - 204 = 5*f - 45. Let p = y + f. Solve 0 = 2*r - 0*r + p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-17 + 8))\/8.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5615, -11224, -16835, -22448, -28063?\nAnswer: -33680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -24309*u + 7. Let i(g) = 36463*g - 11. Let s(w) = 5*i(w) + 7*x(w). Let v be s(-7). Let m = v + 39070. Round m to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13755375 is divided by 8581?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1*42\/84)\/((-6)\/(-216))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -19\/2. Let f = -0.7 + 1. Which is the third biggest value? (a) -2\/11 (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7314940 and 1380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 15*q - 4395 = 0. Find the common denominator of 40\/63 and q\/(-189) - (-30 - 0)\/(-6).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbdbllbbbbldllb. Give prob of picking 2 l, 1 b, and 1 d.\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.1 + -13. What is the second smallest value in -3, a, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + (0 - -1)*2. Suppose 0*h = 5*f + h + 3, 0 = -4*f + 3*h - t. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -283.4 - -257. Let k = g + 27. Let h = 0.2 - k. Sort 1, -1, -1\/9, h in decreasing order.\nAnswer: 1, -1\/9, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**7\/42 - 3*q**4\/4 - 8*q. What is the third derivative of f(v) wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 234*w - 1871. Let v be u(8). Which is smaller: v or 5\/4084?\nAnswer: 5\/4084","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lliqptp. What is prob of sequence tllq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26114 is divided by 2007.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*c - 28 = 2, 0 = 3*q + 3*c - 42. Suppose -2*x - 16 = 2*b, -4 = b - 5*x + 16. Let k = b + q. Solve k = -2*j - 3*j - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 7*g - 3. Calculate the remainder when 16 is divided by t(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202371586.\nAnswer: 2, 4483, 22571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h - 104. Let a be f(13). Which is smaller: -6\/431 or a?\nAnswer: -6\/431","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulluuuu. Give prob of sequence ullu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 152405.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/28 + (-58)\/52)*(52 - 39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4\/7 (b) 3 (c) -2456 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 57*w**2 + 441*w - 399. What is q(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 291*r**3 + 4*r**2 + 18*r + 7. What are the prime factors of f(5)?\nAnswer: 2, 41, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2555*g**4 + 905 wrt g.\nAnswer: -10220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/36 and -91\/828?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1860476531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/16470 and 37\/14580.\nAnswer: 889380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1367, -1703, -2239, -2957, -3839?\nAnswer: -4867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/(-12))\/((-195)\/(-260)). Let j(a) = a**3 - 4*a**2 + 8*a - 4. Calculate j(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from rjrjrjjfrjjjsjsj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(64) - sqrt(64)*-2))\/(sqrt(180)*-2*-3).\nAnswer: sqrt(3)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-143520)\/161)\/(-26) - 34)\/(1\/77).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127946683.\nAnswer: 127946683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21899, 2 in increasing order.\nAnswer: 2, 5, 21899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17021555 (base 9) to base 13\nAnswer: -19c2a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 37. Let y be (0\/1)\/(-2*4\/p). Let v be (0 - y)\/(3\/3). Which is bigger: v or -1.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 0*n**2 - 13\/30*n**6 + 4\/3*n**4 - 8*n + 0*n**3 + 0*n**5 + 0. What is the third derivative of j(h) wrt h?\nAnswer: -312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -978*v**2 - 6 + 492*v**2 + 7*v + 499*v**2. What is the hundreds digit of b(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6609.\nAnswer: 3, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0 + 0*k + 1\/5*k**4 - 8\/15*k**3 - 33*k**2 - 3\/100*k**5 + 1\/600*k**6. Factor y(t).\nAnswer: (t - 4)**2*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4\/7 - 12*t**3\/7 - 3*t**2\/7 + 18*t\/7 = 0. What is t?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/325 and -79\/5080.\nAnswer: 330200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/8 (c) 105 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 60 and 35?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1891, -3565, -5239, -6913, -8587, -10261?\n\"Answer: -1674*l - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/30 - z**2. Let x(v) = -v**2 - v + 1. Let r(b) = 7*b**2 + 5*b - 5. Let j(u) = r(u) + 5*x(u). Determine j(y(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11892 by -113.\nAnswer: -11892\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzczzczczzzzzzzz. Give prob of sequence czz.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = -0*f. Let x be (f\/(-4))\/((-1)\/(-2)). What are the prime factors of -9*x*(-4)\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o. Let m(a) = -a + 1. Let u(j) = 8*j**2 - 6. Let s(g) = 6*m(g) + u(g). Let i(b) = 15*b**2 - 11*b. Let d(t) = 6*i(t) - 11*s(t). Calculate d(z(l)).\nAnswer: 162*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) - 1860\/(-42). Is (g\/12)\/1*141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-8)*(v*(v**1\/v)\/v)**(1\/18) assuming v is positive.\nAnswer: v**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4988582 to the power of 1\/2, to the nearest integer?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u. Suppose 0 = 4*y - 0*y - 12. Suppose -17 = -7*d - y. Let n(m) = -10*m + m - d*m. Determine n(s(g)).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08208 times 56.5?\nAnswer: -4.63752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 22. Solve 2 = 3*q + b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2266 = 7*p + 4146. Let v = -4579\/5 - p. Find l such that 0 - v*l**2 + l = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-155)\/15 - 1\/(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4 - 1984*y**3 + 492032*y**2 = 0. Calculate y.\nAnswer: 0, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - 4*t + t + (-5 + 3 + 0)*(-9*t + 115 - 115).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.098 - 43.098. Let w = 42.5 + o. Which is the second biggest value? (a) 6 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11*r**2. Let y(b) = -b - 11. Let k(x) = 10. Let g(u) = -3. Let i(z) = 16*g(z) + 5*k(z). Let q(p) = 22*i(p) + 4*y(p). Calculate q(l(n)).\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = 7. Which is the nearest to 1? (a) -2\/3 (b) 2\/15 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68596, -136947, -205300, -273655, -342012?\nAnswer: -410371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (33\/6)\/(10\/(-20)). Calculate the lowest common multiple of 24 and (-2)\/m + (-117)\/(-143) - -20.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26241 or -26237?\nAnswer: -26237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.186962946 - 0.18697. Round g to seven dps.\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*u = 344*u + 3588 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12435, -19890, -27345, -34800, -42255?\n\"Answer: -7455*i - 4980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 165644201 - 1?\nAnswer: 165644200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1975\/7 - 282. What is the closest to -2 in m, 1, 8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-8) + 1\/4. Let p be (-250)\/(-21) - 24\/(-252). Suppose -g*q = -6*q + p. What is the highest common divisor of 24 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22316.3658 rounded to the nearest ten?\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -693 < -1501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 111*n = 221*n - 111*n - 15, 3*m - 17 = -n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19533827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 - 70. Suppose -12 = 2*c - 2. Let m = 20 + c. Calculate the remainder when m is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - m + m - 3*m**2 + 0*m**2 + 4*m**2 + (3 - 3 + 2*m)*(0*m - 4*m + m) to c + h*m**2 + l*m and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 10 = -4*s, 5*s = -5*r - 25 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29834491 times 0.06\nAnswer: -1790069.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 170556 divided by -6?\nAnswer: -28426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -42 times 10.59\nAnswer: -444.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - b - b)*(2*b**4 - b**4 - 3*b**4 + 1 + b**2 + (4*b**2 - 2*b**2 + 0*b**2)*(7*b**2 - 24 + 24)).\nAnswer: -60*b**5 - 5*b**3 - 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h = 63 + 762. Calculate the highest common divisor of 66 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1490 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*m + 192 + 414, 3*m = -p + 609. Let c = -364 + p. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y = 48*y + 41*y - 320. Which is the nearest to 3\/10? (a) y (b) -1 (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 41180*k**2 - 247188*k - 370836.\nAnswer: 4*(k - 10301)*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 + 24 + -12 + 59 - 10) + -4.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3235175819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(1\/8)*p))**(-3\/8) assuming p is positive.\nAnswer: p**(3\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 11*w - 68. Suppose -29 = -t - 23. Let a be i(t). Let h(d) = d - 1. Let j(c) = 5*c + 2. Let o(p) = -h(p) - j(p). Determine o(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 62*h - 108 = -63*h, 5*a + 5*h - 4*h = 66 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20269, -50375, -80481?\n\"Answer: -30106*i + 9837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 2*u**2 + u**2 - 2*u + 2*u - 2*u**2 + (-u + 0 + 0)*(-4*u + u + 2*u) + 0*u**2 - 2*u**2 + 0*u**2 - 663*u**2 + 2454*u**2 + 486*u**2.\nAnswer: 2275*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u - 1. Suppose 0 = -37*z + 49*z. Let g be h(z). Let y = -17\/4 - -11\/4. What is the closest to g in y, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0 (c) -4 (d) -2 (e) 0.14875371\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 82 = 60 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 107*q + 859. Let p be g(-8). Let c = 2 - -8. Solve 4*o - p*w - 3 = -c, 4*w - 12 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p\/(p\/(p*p\/(p\/((p**(-1)\/p)\/p)*p)))*p)\/p*p)*p)\/(p*p**(6\/5)))**(-10\/9)*(p\/p**(1\/3)*p\/p**5)**(5\/8) assuming p is positive.\nAnswer: p**(-107\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -22*o**2 + 12*o + 16. Let k be s(-2). Let c = -85 - k. Let i = 4 + -2. Calculate the remainder when c is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1948018263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, s: 6}. Give prob of sequence sss.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1700 - 927. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -134 + 137. Solve -y = 5*w + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 16 + 4 - 14 + 50*q + q**2 in the form a*q + u + r*q**2 and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2824 = v. Is 16 a factor of v\/18 + (-4)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1475 is divided by 128?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 447. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672.40817 rounded to zero decimal places?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 122\/5. Suppose 2*s + 28 = -2*s. Let o = s - -22\/3. Sort a, o, 1\/2.\nAnswer: o, 1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 a when three letters picked without replacement from svjjvsjsjtavksa.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i**2 - i - 4. Determine b(-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 280 (b) 3 (c) 11 (d) -0.4 (e) -3 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0\/(-1) - 158)*(9 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + y**2 + y + 1. Let q(g) = 6*g**2 + 4*g + 9. Give -4*d(z) + q(z).\nAnswer: -4*z**3 + 2*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*t + 34 = 0, -4*t = -5*d + 106 + 2. Solve 3*o + d - 32 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 19 = x, -5*x + 3*y + 145 - 42 = 0. Let g(l) = 4222 - 4222 - x*l**2. Let i(a) = -a**2. Determine g(i(r)).\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22054913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 376*u**2. Suppose 5*l + 11 + 9 = c, l = c - 8. Let h be r(c). Suppose h = -3*w + w. What is w rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/220 and 6975\/324 + (-26)\/(-117).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -16*x**3 - 305*x**2 - 16*x - 59. Give b(-19).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11895 and 2191425.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 196.4278680336.\nAnswer: 196.7278680336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -44459 + -0.4256\nAnswer: -44459.4256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/23)*t*t*t**(-9))\/(((t*t**7)\/t)\/t)**(22\/3))**(-34) assuming t is positive.\nAnswer: t**(39814\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.101863 - 4.026437. What is l rounded to 1 decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6224 by 1556.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8*40\/30?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 + 8*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/((-2)\/(-20)))\/(-1). Let u be (-24)\/a - (-4)\/(-10). Let d(w) = 8 + w**3 + 0 - 2 - 8. Determine d(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**3\/3 + 21*c**2\/2 + 8*c. Let o(a) = -a**2 + 10*a. Let z be o(11). Let m be j(z). Which is bigger: 1\/68 or m?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 17*d**2 - 37*d + 8. Let w be j(19). Solve 2 = k, 0 = -5*h + 32*k - w*k + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 118, -314, -746, -1178, -1610?\n\"Answer: -432*a + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 less than 4.418?\nAnswer: 4.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3611 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*a + 34*a + 234. Let h = 69 - a. Calculate the remainder when 148 is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkukkkkukkukkkkkku. What is prob of sequence ku?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1)*w**(-1\/10) assuming w is positive.\nAnswer: w**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-11)*k*k**(-10)*((k**(-1)\/k)\/k)**(-28\/5))**26 assuming k is positive.\nAnswer: k**(2574\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -39 - 86. Let c = t + 27. Let -3*w + 6*w**2 - 9*w**3 - w**2 + 3*w**4 + 4*w**c = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -29\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 36520*y**3 - 166713800*y**2.\nAnswer: -2*y**2*(y - 9130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12181.5 - 12182. What is the closest to 7\/4 in 0.4, p, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053)*-1*2*-3.\nAnswer: 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18668 + -0.194938. What is n rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3346 and 1434?\nAnswer: 10038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -123, -24, -76.\nAnswer: -123, -76, -24, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -45. Suppose -81*p + 80*p = -q. Calculate the highest common divisor of p and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-204)\/(-33) + 7 - (-2)\/(-11). Suppose -128 = -n*f + 158. What is the greatest common divisor of f and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -17.9, -72.29.\nAnswer: -72.29, -17.9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 874 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**3 - 585*b**2 - 4*b**3 + 593*b**2 + 18 wrt b.\nAnswer: -6*b**2 + 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 5:38 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 13*i**2 - i + 1. Suppose 5*b - 4 - 1 = 0. Suppose o + 6 = b. Is x(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(567))\/(sqrt(108)\/(sqrt(12)*-2) + sqrt(9)) - ((1*(sqrt(567) - 1*sqrt(567) - sqrt(567) - sqrt(567)))\/(sqrt(9)*-1*4))**2.\nAnswer: -63\/4 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 4*d + 6. Let q(v) = v**2 + 2*v - 3. Let g be q(2). Suppose 0 = g*w + 2 - 42. Calculate the least common multiple of y(-4) and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmzzzzzcmmc?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*2\/(-6) - 1. Let y = -18.3 + 18. Which is the third biggest value? (a) -1 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14914, 59654, 134220, 238612, 372830, 536874?\nAnswer: 730744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 4*m - 1164 + 1176, 2*m - h = 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*q - 12, -2*q = d + 4. Suppose 2 = -5*v - 5*x - 3, 2*x - d = -4*v. Suppose v*h - 2 = 4. Solve 3*b + 2*u + 1 = 4*b, -5*b = -h*u + 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afafffzffffsfffrrr. What is prob of sequence ar?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.2 - 237.8. Let c = t + 256.00000644. What is c rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3180.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -363. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*g + 411 = 267. Factor 1\/3*p**5 + 0*p**2 + 1\/3*p**4 + 0*p**g + 0*p + 0.\nAnswer: p**4*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6228 take away 7965?\nAnswer: -1737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = z - 12936. What is the remainder when z\/36*(-6)\/(-4) is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6754 rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(-1 - 2 + 1)*(3*l - 4*l - 3*l).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Let s(x) = 4*x + 17. Let t(b) = -5*j(b) - s(b). What is t(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/3))\/p)**5\/(p**10\/(p*p**15)) assuming p is positive.\nAnswer: p**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**20*k\/(k**0\/k))\/(k\/(k**(-6\/7)*k))**(-21) assuming k is positive.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/7, -6\/11, -8590\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*m = 125, 0 = -2*u + 2*m + 19 + 11. Suppose -8 = -5*g + 3*d + u, -g = d - 12. Calculate the remainder when 15 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 904 + -609. Calculate the remainder when g is divided by 62.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.103 - 0.103003887. Round h to 7 dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 15 = -5*m, d = 2*m - 3*m + 3. Let j(a) = 0*a + 7*a**2 - 3*a - 3 + m. What is the remainder when j(3) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 508 + -473. List the prime factors of -1*5 - 7\/(r\/(-1615)).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 3 + 3 + (3*v + 3*v - 7*v)*(-2 - 3 + 3) + 2*v - v + 2*v to l + d*v and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + 1 + 1 + 2 + sqrt(6)\/sqrt(2)*1 + sqrt(3).\nAnswer: 4 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 5\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2170.84 - -2172. Which is the second smallest value? (a) i (b) -3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**11\/p)\/((p*(p**(-29)*p)\/p)\/p))\/(p**(-31)*p**(-7)) assuming p is positive.\nAnswer: p**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**6\/180 + 5*g**4\/6 - 13*g. Let f(t) be the third derivative of i(t). Let b(d) = -4*d. Determine b(f(k)).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 827*c**3 + c**2 - 826*c**3 - 11*c + 3*c to k*c**3 + m + i*c**2 + q*c and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 2967 = -2451. Let y = 2007 + q. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/16405 and -37\/14764500.\nAnswer: 14764500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baaa when four letters picked without replacement from aaaooaoaboaiaboaao.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.9091 + 86?\nAnswer: 75.0909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 480?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**3\/6 - d. Let b(s) = -2*s - 2*s + 6*s. What is b(j(t))?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrn. Give prob of sequence nnr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/9)\/(22\/(-6) - -3). What is the closest to -2\/11 in w, 3\/23, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101000000101110000001 (base 2) to base 15.\nAnswer: -10811d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 + t + 8. Let c(o) = -7*o**2 + 3*o + 17. Let x(w) = -4*c(w) + 10*d(w). Find h such that x(h) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + (1 + sqrt(171))*-5 + sqrt(171) + sqrt(171) + -1 + -3 + (-5 + sqrt(171)*-1 - sqrt(171)*-1*-2)))**2.\nAnswer: 324*sqrt(19) + 6237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/30)\/(5*(-7)\/315*4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 18291618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/3*b**4 - 4*b**3 + 0*b - 16\/3*b**2.\nAnswer: -2*b**2*(b + 2)*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**4 + 5607*f**2 - 11221*f**2 + 2*f**3 - 4 + 5611*f**2 - 3*f in the form v*f + t + b*f**3 + i*f**4 + a*f**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**4\/4 - t**3\/3 + 7. Factor l(i).\nAnswer: -i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 10, a: 9}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*o - 37 = 0, -40*m + 41*m = 2*o + 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 1942*f - 31466. Calculate t(-16).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -282 - -600. List the prime factors of b.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 39. Let z = q + -9. Let v(r) = -r**3 + 4*r**2 + 6*r - 5. Give v(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*u + 58*u - 24 = -3*y, 5*u = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 4*w**2 + 2*w + 8. Calculate the remainder when 114 is divided by s(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(2\/21)\/(l**(5\/3)*l*(l*l\/(l*l\/(l\/(l*l**(-1\/5)*l)*l*l)*l)*l)\/l*l) assuming l is positive.\nAnswer: l**(-58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**3 + 181*n**2 + 199*n + 18. Give c(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 - 176512*d\/3 - 19285322.\nAnswer: -2*(d + 329)*(d + 87927)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36847 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/7924 and 47\/82628?\nAnswer: 23383724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -75, 1, 9, 15, -4 in decreasing order.\nAnswer: 15, 9, 3, 1, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/3 (b) 5 (c) -2\/35 (d) 1\/17 (e) -3 (f) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 0 - 1 + 0. Suppose -w = -3*w - 6. Let o be 1*w\/(0 - 1). Let m(q) = -2*q - 3. Give o*l(r) - m(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 58 + 26. Suppose -m = -0*m - 3. Solve -4*s - 10 = -0*s + 5*o, 0 = -3*s + m*o - g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 17*o + 6. Let z be m(-8). Let d be 1\/3*131 + z\/(-6). Is (14116\/d - -2) + 2\/11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/32743 + -2586781\/1375206. Let h = 12\/7 + n. Let q = -0.37 - -0.07. Which is the nearest to -1\/4? (a) h (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 26 + 40 + 62)*(0*m + m + m).\nAnswer: -8*m**2 + 256*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3560190 is divided by 9862.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f - 39. Let q be l(7). Suppose 2*o = q*g + 22, 36 = 2*o - 0*o + 4*g. Suppose -6*n - n = -o. What is the greatest common divisor of n and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + -5. Suppose 3*o = 6 - 3, -m = 3*o - 21. Let u be ((-6)\/m)\/((-2)\/(-66)). Is j at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**2*m**3 + 15*i**2*m**2 + 17*i**2*m - 101*i**2 - i*m**3 - 6*i*m**2 - 684*m**3 - 42*m**2 wrt i?\nAnswer: 2*m**3 + 30*m**2 + 34*m - 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 + 13*i - 7. Let p be d(4). Let a be -3 - (p + 0) - -3. Suppose -21 = -a*t + 318. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4930 - 4929.99997946. Round a to 7 decimal places.\nAnswer: 0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suuukuzuwsffkuuuku. Give prob of sequence zk.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-25) - 32\/80. Which is the third biggest value? (a) 0.4 (b) 90 (c) q (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -483716*h**6*m**3 + 4*h**2*m**3 - 2*h**2*m**2 - 311*h**2 - 4*m**3 wrt h?\nAnswer: -58045920*h**3*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/279 - (1 - 538\/9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 8651390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = 2*i - 324. Let s = -170 - -171. Suppose -2*n = 3*n. Solve n = r - i + s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1827*g. Let a(t) = 650*t**2. Give a(u(j)).\nAnswer: 2169653850*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(-3 + (sqrt(612) + -4*sqrt(612) + 2 - sqrt(612)) - (sqrt(612) - sqrt(612)*-4)*3*-1).\nAnswer: 3 + 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1468130 and 93100?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-3 + 1 - -10). Put 1, -4, x in ascending order.\nAnswer: x, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/104 and 95\/18?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22\/247 - -8102\/2223. Find the common denominator of -8\/33 and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a century?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 - 4*b**2 - 10*b + 5. Let l(i) = i**3 + i**2 - i. Let h(d) = -5*l(d) + r(d). Determine h(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*o + 36*o - 72 = 0. Let x be (-15)\/o + (-150)\/120. Let x + 3\/2*n**4 + 0*n + 6*n**2 - 15\/2*n**3 = 0. Calculate n.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 + 8*x + 7. Let m be h(-5). Let n = m - -2. Suppose 0 = 3*k + 6, 2*u - 4*k + 10 - n = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**2 - 225*m - 280.\nAnswer: 2*m - 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84374.59 centuries to millennia.\nAnswer: 8437.459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1354 - 1354 - 41266*t**3 - 2605*t**3.\nAnswer: -43871*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 10*d**2. Let w be ((-13)\/2)\/((-11)\/22). Let h = -4 - -12. Let u(l) = -h*l - 6*l + w*l. What is p(u(s))?\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**3 - 5*z**3 + z**3 + (3*z + 3*z - 5*z)*(-5*z**2 + 4*z**2 + 2*z**2) - z**3 + 3*z**3 + z**3 + 2*z**3 + 0*z - 3*z**3 - z.\nAnswer: 5*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 884938099?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 409?\nAnswer: 409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 7*l**2 + 7*l - 6. Let r be i(-8). Suppose -r*p - 2*p = -4036. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 1, k: 1, i: 2, x: 1}. Give prob of picking 1 i and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/151, -3\/7, -5 in increasing order.\nAnswer: -5, -3\/7, -2\/151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 0.043254?\nAnswer: 0.443254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101101 + 10?\nAnswer: -10101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + 2 + u - 3.\nAnswer: u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*b**2 + 34*b - 1.\nAnswer: -(b - 1)*(33*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 9) in base 2?\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 301\/86*(-12)\/(-7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 521742944*f*m - m - 322332948 with respect to f.\nAnswer: 521742944*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7505, 448, -3 in decreasing order.\nAnswer: 448, -1, -3, -7505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2, -5, -54 in decreasing order.\nAnswer: 2, -2\/5, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, -0.3, -10 in ascending order.\nAnswer: -10, -0.3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1344)\/4)\/6 + (-1)\/((-14 - -2)\/(-12))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 410\/246*(-6)\/(-2). Suppose -3*p - 3649 = -i, 3420 = 2*i - r*p - 3876. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*w = 124, w = -5*d + 121 - 444. Let l = d - -98. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by 2771\nAnswer: 28\/2771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 4.07?\nAnswer: 0.1628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314414 divided by 2.\nAnswer: 157207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/133 + 19\/(-21) + 2. Suppose 4\/9 - f*k - 28\/9*k**2 = 0. What is k?\nAnswer: -1\/2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**4 - 4*h**4 + 2*h**4)*(0 + 3 - 5)*(5 + 1 - 9) as k*h**3 + z + w*h**4 + r*h + f*h**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 142319760 divided by -620?\nAnswer: -229548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 313*c + 82 wrt c?\nAnswer: 313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**5 - 5913*k**4 + 3096297*k**3 - 177100755*k**2 = 0?\nAnswer: 0, 65, 953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/84)\/(4\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d. Let z(t) be the first derivative of -2*t**5\/15 - 7*t**2 + 24. Let b(u) be the second derivative of z(u). What is b(l(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 265 + 1014 + 585. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 6\/11 (b) -2 (c) -5\/4 (d) 144\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41703 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1504242 and -0.3.\nAnswer: 451272.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(375)*-4)\/(sqrt(405) - sqrt(405)*-3))**2.\nAnswer: 25\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -14*q - 2*q - 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 50. Calculate the highest common factor of 20 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.60344l?\nAnswer: 9603.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*n - 4*n + 109, 4*k - 3*n = -87. Is -21 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3) + -3 + (2 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 8*s**2 + 6*s - 16. Suppose z + 8 = i, -2*i = -2*z + 3*z - 25. Is c(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108.3 - -124.422. Let g = -0.122 + z. What is the second biggest value in 0, g, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231424.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4719)*-2*5 + sqrt(4719) - sqrt(4719)*-2*5)\/(sqrt(432)*3 - (sqrt(3) + (sqrt(60)\/sqrt(5))\/sqrt(4))).\nAnswer: 11*sqrt(13)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4792*s - 32. Let t(g) = 8*g + 3. What is -j(r) - 10*t(r)?\nAnswer: -4872*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26850.13 grams to kilograms.\nAnswer: 26.85013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 61012*y.\nAnswer: -4*y*(y + 15253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525444.\nAnswer: 2, 3, 43787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -16. Let a = z + 8. Suppose -h - a = -24. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*i**2 - 413*i**2 + 221*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (57\/6270*22)\/((-57)\/15)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 56145?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993 - (11 - (2 - -3 - -2)).\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 104777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 214 - 262. Is n >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46508749 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 3*v - 2, x + 4*v - 10 = -5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*l - 6*l - 28*l)*(-2 + 1 + 2)*(-166 + 495 + 732) in the form f*l + w and give f.\nAnswer: -19098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 6 = -3*t, -4*t + 20526 = 5*x + 20563 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -45, -30, 3, 60, 147, 270?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2664 and 358974.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15178, -30910, -46642, -62374, -78106, -93838?\n\"Answer: -15732*y + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = 3 - 3. Suppose -v - 3*t + 295 = 0, h = -t - 1 + 6. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1055217 (base 9) in base 8?\nAnswer: -2125405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i. Let f(l) = -3 - 5 - 5 + 17*l. Let y(m) = -6*m + 6. Let p(j) = 2*f(j) + 5*y(j). Determine t(p(x)).\nAnswer: -12*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50578 and 836.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g = -12*g + 5*g + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 + 1530?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8761972 a multiple of 3542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 3. Suppose 0 = -6*i + 17 + 67. Let w be (-1 - (-1)\/2)*i. Give f(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.1647462 weeks?\nAnswer: 99638501760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, -12, -5, -4 in increasing order.\nAnswer: -12, -5, -4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**3 - 8*m**2 + 8*m**2 - m**3 - m**3 + 0*m**3 + (-m + 4*m - m)*(-3 - 2*m**2 + 3) - 3*m**3 + 6*m**3 - m**3)*(4*m + m - 4*m).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.379 + -3.079. Let b = 0.12 + 0.28. Put -3, m, b in descending order.\nAnswer: b, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3022310003 (base 4) to base 14.\nAnswer: -178a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**3 - i**2 + i + 1. Let l be z(-1). Solve l*s = -9 - 16 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150c (base 16) to base 3.\nAnswer: 21101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -2, 4, 8.\nAnswer: -3, -2, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 13, w: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-6) - (-1497)\/18. What is l rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 29 = -4*f, 0 = 2*r - f - 6 - 5. Suppose -12 = -5*h + 3, -p - 1 = r*h. Is (-6*(-2)\/p)\/((-3)\/190) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3566 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + s - 1. Let y = -10 + 15. Let v be r(y). Is (-206)\/(-14) + (-6)\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -191370\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.122 + -0.478. Let q = y - -4.815. Round q to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17336 is divided by 4324?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 35 - (-3 + 16 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386*j + 385*j + 81 = 0. Calculate the highest common divisor of 108 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) + 14\/4. Let j = -4 + r. Suppose j = -2*l + 2*q + 82, 0*l + 5*l - q - 193 = 0. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 408 - 717. What is the tens digit of 12\/(-20)*(y - -14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19 and 0.0231?\nAnswer: 19.0231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -430 (base 8) to base 10\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z**2 - 2*z - 28. Let a = 514 - 525. Does 36 divide h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 342*d - 2398. Let h be p(7). What is the nearest to h in 1\/7, -0.17, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/2 + 2805\/306. Let h(y) be the second derivative of 0*y**3 + 6*y + 0 - u*y**4 - 9\/2*y**2. Find the first derivative of h(s) wrt s.\nAnswer: -28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1524 + 1525 - 4571 + 2746*j + 1522 - 2746*j + 6*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or -120094.848?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 405109 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -10 + 8 + (-7 - -11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 3:30 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(72)\/(5*sqrt(36)) + (-5*sqrt(98) - -1*sqrt(200))).\nAnswer: 124*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*y + 371, 0 = 4*f + f + 15. What is the greatest common factor of 38 and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26344099 or 26344097?\nAnswer: 26344099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3180144 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2070326 to the nearest integer?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 2)*(-3*r - r - 1 + 6*r)*(-r**2 - 3*r**2 + 3*r**2).\nAnswer: 8*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.38 (b) -3 (c) 1\/2 (d) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1026)\/4*(-3 - (4 - 1)). Suppose 15*n - 51 - u = 0. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3bb - 0?\nAnswer: 3bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 53 + -1756234?\nAnswer: -1756181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1572658428*c**2 - 786329228*c**2 - 786329199*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 4. Let v be a(-4). Let w be v\/2*1\/1. Let p be ((-54)\/16 + 3)\/((-6)\/20). Which is smaller: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108502 divided by 3?\nAnswer: 1108502\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*d + 3*w + 21, -2*d - 5*w = 9. Suppose -d*t = -2*t. Solve t = -2*s - 0*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.5 + -19. Let b = -5 + w. Let u(m) = -m**2 - m. Let r be u(-2). What is the second biggest value in -3, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -389\/13. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10882, 47995, 109850, 196447?\n\"Answer: 12371*f**2 - 1489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.6365035644 and 0.1.\nAnswer: 6.7365035644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/3, -21, 0.1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -66*q. Let y(s) = -33*s**2 + s. What is x(y(b))?\nAnswer: 2178*b**2 - 66*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 40. Suppose 0 = l + 5*a - 48, h = 3*a - 5 - 10. What is the greatest common factor of l and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 - -73. Let y = -2 + 4. Let l = y + -9. Which is the third smallest value? (a) -2\/15 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + u + 218 = -123, 0 = 3*n + 5*u + 1021. Let j = n - -341. Are j and -5\/206 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1365 and 0.05598?\nAnswer: 1365.05598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by 49820\nAnswer: -11\/4982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 1, l: 1, c: 1, u: 1, r: 2}. Give prob of picking 2 r and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-11)*(-8)\/(-4)*4\/(-22)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqn when three letters picked without replacement from {q: 3, w: 1, n: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17228564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 4*t - 36. Let h be r(8). List the prime factors of (-14)\/h*25014\/77.\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Suppose 0*m + 2*m = c. Let t = 2 - m. Solve 0 = 3*y - 15, t*y + 2 + 3 = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2004, 9212, 21232, 38064, 59708?\n\"Answer: 2406*o**2 - 10*o - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 10*h - 13 = 0. Is h at least as big as 3\/923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 9*x + 132 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1897 + 5?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125286 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 5:29 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 43\/4 of a second?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2040376*-0.2.\nAnswer: 408075.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 43. Calculate the common denominator of r\/12 - ((-1 - -1) + 3) and 89\/46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r\/(((r**(1\/21)*r)\/r*r)\/r)))\/r)*r*(r*((r\/r**(-1\/3))\/r)\/r)\/r)**(3\/40) assuming r is positive.\nAnswer: r**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*m - 0*m. Let d = m - -37. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**5\/20 - 2*c**4\/3 - 7*c**3\/6 + c**2 + 6*c. Let p be d(9). What is the derivative of -10 - 9 + p - 3*r**2 wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213816907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 - r**3 + r**3 + (2*r - 2*r + r**5)*(-3 + 5 - 3) + 8*r**5 + 8*r**5 + 4*r**5 + r**5 - 2*r**5 - r**5.\nAnswer: 19*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 2, 5, -16 in descending order.\nAnswer: 7, 5, 2, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30558066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/147 in 13, 3, -1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 82?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmymymyyammyamyayjma. What is prob of picking 3 y and 1 a?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 20 = -3*i. Suppose -6*g = -g + i. Let r be (-15)\/(-2)*(g + 61 + -3). Calculate the highest common factor of 45 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + (-2 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptpptpptpt. Give prob of sequence pttp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935 is divided by 249.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*n + 22 = -277*n + 3*r, 0 = -n - r - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i + 6320 = 104. Solve 0 = -18*l - 24 + i for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(55)\/(sqrt(5) - sqrt(160)\/sqrt(8)) + 2.\nAnswer: -sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 117631211 or 117631212?\nAnswer: 117631212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 3859*f**5\/20 + 215*f**4 + 7377*f. What is the third derivative of i(c) wrt c?\nAnswer: 23154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0318 - -27.9318. Let n be (-1)\/5*1*(9 + (7 - 18)). Which is the fourth biggest value? (a) n (b) -0.2 (c) 3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -4\/49 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8471078, -16942155, -25413232?\nAnswer: -33884309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/(-6) - 9\/(-6). Let g(c) = -4*c. Let t(m) = 6*m. Let b(i) = x*g(i) + 5*t(i). Let h(j) = -j. Calculate b(h(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -188, -290, -376, -440?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + -1*sqrt(200) + sqrt(200) + sqrt(200))\/sqrt(10))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 158150 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-10) - 8\/(-20). Suppose l*w = 4*q, w = -q + 2 + 2. Does q = 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2984 - 2982. What is the nearest to -0.1 in 4, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13119?\nAnswer: 3, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/91, 15\/7, 0.15484, 0 in descending order.\nAnswer: 15\/7, 0.15484, 2\/91, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 - -700915?\nAnswer: 700938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + -8 + -16 + (-1 - 0 - (2 - 11))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 6.2?\nAnswer: 2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/48 and -62\/381.\nAnswer: 6096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c - 159 + 219 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3 - 1. Let u = 134 - 130. Suppose -3*i + 7*i - u = p, 3*i - l*p = 16. Solve i*q - 4*q + 2 = -3*w, -5*q + 20 = 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 172*c**2 + 9*c - 22. Is y(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 4. Suppose 95*y + 4 + 10 = 109*y. Let z = 5 - 3. Let s(b) = 7. Let a(p) = 3. Let f(i) = 9*a(i) - 4*s(i). What is y*t(r) + z*f(r)?\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -15, -5, 23, 75?\n\"Answer: q**3 - 9*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000175737 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 240327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((672\/28)\/(-8))\/((-50)\/5)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -5*x**2\/2 - 29*x + 16. Let o be s(-6). Solve -i + 2 = -o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4\/7 + 24*s**3 - 1510*s**2\/7 - 3516*s\/7 - 1840\/7 = 0. What is s?\nAnswer: -92, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1544859.6 - -0.02.\nAnswer: -1544859.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*o**2 + 2*o**4 + 0*o**2 + 3 - 73*o - 2 + 13*o**2 + 3*o**2 to the form h*o**4 + b*o**2 + y*o**3 + q + p*o and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9300 is divided by 228?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15135 + -15130. Which is the second smallest value? (a) 12 (b) u (c) -19\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(560)\/sqrt(7) + sqrt(5) - sqrt(140)\/sqrt(7)) + -5)**2.\nAnswer: -180*sqrt(5) + 1645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkk when three letters picked without replacement from kkkjkkkkjk?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -803 - -64?\nAnswer: -739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(2) + -2 - ((sqrt(200) - (1*sqrt(200) + sqrt(200))) + sqrt(200) + sqrt(200))**2) + ((-4 + -4*(-2 + sqrt(2)))*-4)**2.\nAnswer: -510*sqrt(2) + 366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**4\/24 + p**3\/6 - 4*p**2. Let u be k(4). Solve -u*d - 6 + 1 = -5*z, 4*z = 2*d + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 9310892*g**2. Let o(k) = 2*k. Determine b(o(h)).\nAnswer: 37243568*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = 5*w - 202. Let t = w - -35. Suppose t = 14*v + 63. Calculate the remainder when v is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 242 - 244. Does l = 95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffwpttfuff. Give prob of picking 1 w, 1 f, and 1 t.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((-665)\/105)*2\/24?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -63\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, i: 1, r: 1, m: 5}. Give prob of picking 1 i, 1 r, and 1 a.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.1634 centuries in years?\nAnswer: 25316.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4*j**2 + 3 + 7 + 3.\nAnswer: -4*j**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) -4 (c) 2 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 9434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*f**3 + 104*f**4 + 9*f + 193*f**4 - 296*f**4 - 7*f**3 - f - 1 as o + y*f**4 + s*f**3 + k*f**2 + m*f and give s.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33774 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -117492526 divided by 1\nAnswer: -117492526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 19*k**2 + 22*k - 2. Let w be x(-17). Let o = 259 + -394. Let z = o + w. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*c - 5*q, -6*q + q + 25 = 5*c. Solve c*f + 2 = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 230 = 0, 0*c + 2993*n + 22 = -0*c - 8*c - 0*c + 2992*n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*o + 7. Let m(v) = -v**3 - 2*v**2 - 2*v - 1. Let k be m(o). Suppose z - k*z = -78. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x - 19. Let i be u(4). Suppose 7*l - i*l - 10 = 0, 4*q + 2*l - 11286 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*z - 9, -2*z = i - 8. Suppose -2*p + 46 = -p + i*v, -5*p - v = -257. What is the greatest common factor of 26 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6)*(6 + -7). Let g(b) be the first derivative of z*b**3 - b**2 + 2 - 2*b + 1\/2*b**4. Factor g(a).\nAnswer: 2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 2743 + 19157. Is c a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 16*v**2 - 18*v - 4. Let z be g(-17). Find the second derivative of -z*r - 5*r + r + 0*r + 13*r**2 wrt r.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9283584 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: Does 24 divide 28*(-4 + 64\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-26)\/(-8))\/13)\/(1\/12). Suppose 3*q = 3*t + 900, -10*t = -r*q - 5*t + 906. What is the highest common factor of 33 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c - -6ca3b?\nAnswer: 6ca0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7694, 15384, 23074, 30764, 38454, 46144?\nAnswer: 53834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -26. Let m = 11 + -7. Solve 12 = m*y - n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-141)\/27 - 2\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 0 - 3 + 5 + 2 + (0 + 3 - 5)*(1 - 4 + 1))*(8*h - 1 + 13*h - 11*h) to t*h + l and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*x**4 - 41216*x**3 - 4345328*x**2 - 2472960*x - 352800.\nAnswer: -2*(x + 210)**2*(7*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9344, -9271, -9068, -8669, -8008?\nAnswer: -7019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 690467581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/14? (a) 4 (b) -5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 365\/(-75) - (1 + (-13)\/15). Let w be ((-1)\/l)\/((-5)\/(-25))*4. Solve -h + w = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -11*w**2 - 13*w + 4. Let k(b) = 4*b**2 + 4*b - 1. Calculate 2*i(c) + 7*k(c).\nAnswer: 6*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -0.67. Let r = m + -0.17. What is the smallest value in -2, r, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -o - 3*o + 472, -o - 5*q + 118 = 0. Let p = -50 + o. Calculate the remainder when p is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 235, 467, 695, 919, 1139, 1355?\n\"Answer: -2*k**2 + 238*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 + -1. Let f = 0.004 - -2.896. Let d = f + y. What is d rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(-7)\/(-14)*-1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -177212+5\nAnswer: -177207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96334?\nAnswer: 2, 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36917.91 nanograms to micrograms.\nAnswer: 36.91791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9916626.\nAnswer: 2, 3, 1652771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*t + 9 = -5, j = 4*t - 1. Suppose j*h = -h. Suppose h = -o + 4 - 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, h: 3, d: 1, f: 1, g: 2, e: 1}. What is prob of picking 1 g and 1 d?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.054 - -1.054. Sort b, 90, -3 in increasing order.\nAnswer: -3, b, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g. Let o(d) = -111967*d + 661 + 111967*d + d**2. Give o(f(x)).\nAnswer: 4*x**2 + 661","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16485 divided by -219?\nAnswer: 5495\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 113242032 divided by 45424\nAnswer: 2493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144148567 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-21 + 29 + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = d + 6. What is the smallest common multiple of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*f - 593*f - 140 = -7724 - 6152 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1512)\/98*3430\/735?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2422220146 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(56) + sqrt(224))\/sqrt(4))\/(sqrt(63) + sqrt(126)\/sqrt(18)).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttcgcttartgoc. What is prob of picking 2 c and 1 g?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16270 is divided by 3625.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29362485479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.26, -0.31, 0, -4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 10:26 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -1\/8*h**4 - 234*h**2 + 0 + 1\/2*h**3 + 0*h. Calculate t(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 322 + -313. What is the highest common factor of d and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -364 (base 7) in base 4?\nAnswer: -3001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20275 - 20275.0016302. What is t rounded to 5 decimal places?\nAnswer: -0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/305, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11010 (base 2) to base 14\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 82. Let n = -34 + y. Let p = n - -139. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 1, r: 2, f: 4}. Give prob of sequence fr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-93 + 11)\/((-4)\/(-2)). Let w be 4\/(-26) + 0 + z\/(-13). Suppose 2*u + w*n + 6 = 37, -u - 3*n = -14. What is the greatest common factor of 68 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + 21 + -21 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.8 - 0.05.\nAnswer: -30.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 5) + -11 + -1. Let x = 5 - g. Solve 3*h = 3*y + 18, 5*y + h + 6 = -x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177134 is divided by 621?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-3 - ((6 - 11) + -3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - (sqrt(605) + -1 + sqrt(605))*3) + -4 - (-3*sqrt(20) + sqrt(20) + sqrt(320)*3))**2.\nAnswer: 150*sqrt(5) + 28126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -52ae061 + 5?\nAnswer: -52ae05b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 take away -5795356502726?\nAnswer: 5795356502759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -5 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5, -7 = 5*a - 0*a - 2*l. Let p(n) = -n**2 + 2*n + 4. Let f be p(5). Let w = 68514 - 68509. What is the smallest value in f, 4, w, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*(sqrt(130)*2 + sqrt(130))*6)\/((-1*sqrt(1960))\/(sqrt(64) + sqrt(64)*2)).\nAnswer: 864*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343353 (base 8) to base 11.\nAnswer: 7a552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n*v**2 + 1312*n*v + 1868*n*y - v**2*y**3 + v - 6*y**3 wrt v.\nAnswer: -4*n*v + 1312*n - 2*v*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*h**3 + 47*h**2 - 18*h**3 - 19*h**3 + 54*h**3 - 3*h - 46*h**2 + 98 to the form s*h**3 + g*h + i*h**2 + t and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.76750647 rounded to 4 dps?\nAnswer: -8.7675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 328.42 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 1, 5*t - o + 218 = 2312. Calculate the remainder when 531 is divided by t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 33253213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418626526 a multiple of 829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + (3 - (1 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 17, l: 1}. Give prob of picking 1 p and 1 l.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063855 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 1. Let g be y(13). Let w be (g + 9)\/(6\/(-10)). Suppose -5*c - w - 5 = 0. Put c, -5, 1 in descending order.\nAnswer: 1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -13 - 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45 - 45 + 5*j + j**5 + (-4*j**4 + j**4 + 7*j**4)*(4*j + 0*j - 3*j).\nAnswer: 5*j**5 + 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11101010021 + 11?\nAnswer: -11101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2387)\/(-22)*20\/70?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27350206.\nAnswer: 2, 13, 607, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*t = -817 - 779. Put 0.3, 0, t, 1\/3 in decreasing order.\nAnswer: 1\/3, 0.3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 1, f: 3, i: 6, d: 4}. What is prob of picking 2 i and 1 d?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, m: 5, b: 3}. Give prob of sequence ss.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5044673?\nAnswer: 5044673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o. Let j(k) = -4*k. Let y(r) = -5*g(r) + 4*j(r). Let u(d) = -3*d. Give u(y(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 9) in base 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from zlzlllz.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -366 + 378. Put 0, t, -2, 5 in descending order.\nAnswer: t, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + (-102)\/12 + 0. Which is the fourth biggest value? (a) -0.1 (b) l (c) -1 (d) -0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 232396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23812 by 4.\nAnswer: -5953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163 + 228. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -17*(-2)\/4*(-18)\/(-9). Solve -7*k - 4 = r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -287 + 285 + 3378*v**4 - 10*v + v**3 - 2863*v**4 + 2*v**2 as i*v**3 + d + x*v + k*v**4 + b*v**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3964*h**6 + 9*h**2 + 151.\nAnswer: 475680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 26. Calculate the least common multiple of f and (-2 + 2 - -6)*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026243249 rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22621373?\nAnswer: 17, 379, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*l = 5*m - 362, 5*m - 4*l = 614. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 4 (b) -4.76 (c) 1\/3 (d) -5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 0. Suppose -4*c + 4*y + y + 51 = 0, -h = c + 4*y. What is the greatest common divisor of 63 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1662 and -0.18?\nAnswer: -299.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6*o + 3)*(-3 + 1 - 2)*(0*o**4 - o**4 + 3*o**4) + 288 - 39*o**5 - 288.\nAnswer: -87*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2*400\/6 - 0 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -11*i**3\/6 + 123*i**2\/2 - 2*i + 19. Let h be v(11). What is the highest common factor of 7 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1848 by 3.\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2274847298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -19*m - 11. Let x(p) = -7*p - 4. Let i(u) = -4*q(u) + 11*x(u). Let f(z) = z. Calculate f(i(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 23?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15451 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1037, 1026, 1017, 1010, 1005, 1002?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 2, c: 1, b: 3, f: 5}. Give prob of sequence ge.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 354281 + -1?\nAnswer: 354280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + (sqrt(19)*-1*4 - (sqrt(304) + -2)))*4.\nAnswer: -32*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 l, and 1 x when four letters picked without replacement from alzacix?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 62.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 12 = -p + 2*q, p - 9 = q. Let m(y) = y**3 - 5*y**2 - 4. Let b be m(p). Let k = 8 + b. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h + 1. Let k(o) = o**3 - 4*o + 2. Calculate -2*k(r) + 3*y(r).\nAnswer: -2*r**3 - 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -676.4 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -819*b - 4519872 = -444*b - 487*b. Does 59 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5)**28*(w**(1\/5))**(-24) assuming w is positive.\nAnswer: w**(676\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187858.\nAnswer: 2, 11, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 4*-1*sqrt(80) - (1 + -2*sqrt(80) + (sqrt(80) - (sqrt(80) - (2*sqrt(80) + 5)))))*-3)**2.\nAnswer: 2592*sqrt(5) + 12249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 5*u**2 + 6*u + 1. Let h be g(6). Let f = 2 + h. Factor 6*c + 2*c**2 + 3*c**3 - 4*c**3 - 5*c**f - 2.\nAnswer: -2*(c - 1)*(c + 1)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141 + 140.98. Which is greater: 7 or g?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165826100 a multiple of 2330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 + 0*g**2 + 0*g**2)*(1564 - 4480 - 3351 + 2478 - 4265) as q + n*g + l*g**2 and give l.\nAnswer: 8054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 91240080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -3. Let m = -18 - -12. Let s(v) = v**2 - v - 3. Let b(o) = 2*o**2 - 2*o - 5. Determine a*s(q) + m*b(q).\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33.3 + 9.7. Let v = k + -43.1. Which is the closest to 0? (a) -3 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 18 = 0, -45*w + 41*w + 10 = -5*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 76.34 + -2\nAnswer: 74.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(1\/3)\/q))\/q*((q\/q**(3\/10))\/q)\/q)\/(q**(-2))**(-6) assuming q is positive.\nAnswer: q**(-379\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/14)\/((-6)\/(-1304)). Let z = g - 150. What is the greatest common divisor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + -1. Let c = 11 + -11.4. Put b, c, 2\/9 in descending order.\nAnswer: 2\/9, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 3*l**2 - l + 139. Suppose 0 = 7*p + 2*p. Is 27 a factor of h(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -125, -502, -1131, -2012, -3145?\n\"Answer: -126*a**2 + a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 17 = -x, -15 - 7 = 5*y + 2*x. Let p = 2 + -2.5. Which is the nearest to -1? (a) y (b) p (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s = 170. Let q = 51 + s. Let p = 30 - q. Calculate the remainder when 37 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*b**2 - 1540*b + 340.\nAnswer: 5*(b - 34)*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 56\/77*(2 + (-27)\/12). What is the smallest value in w, 1, 0.6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**2\/7 + 93918*c\/7 + 939480\/7 = 0.\nAnswer: -10, 31316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -478, -4, -2\/13 in ascending order.\nAnswer: -478, -36, -4, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 d, and 1 p when four letters picked without replacement from uljpydulpdjljdjdljj.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/840*(13 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 747873765 and 6030?\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/9)\/4*(-6)\/(-10). Which is the third biggest value? (a) -0.1 (b) k (c) 5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/2 - 18517*a**3 + 342916321*a**2\/2 - 342860772*a + 171421128.\nAnswer: (a - 18516)**2*(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125113621 is divided by 183.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2532, -8462, -14392, -20322?\nAnswer: -26252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64267?\nAnswer: 7, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 571 + -570.094. Let u = 0.094 + y. What is the nearest to -1\/3 in u, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/27)\/(505\/(-303))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = 4*r - 26, -r - 5*c = 4. Suppose u + 55 = l - r, -u + 125 = 2*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**2 - 301152*i + 7557710592 = 0?\nAnswer: 50192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*c - 1774, 3*q + 2670 = 2*c - 5*c. Let g = 3479\/4 + q. Let p = 2\/11479 + 814993\/91832. Calculate the common denominator of p and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - i + 5. Let l be x(0). Let k = -3 - -6. Suppose k*t = -2*c + 30, -t + 15 = c + 4*t. Solve -c - l = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k - 30 + 18*k + 32 + (-1 + 4 + 0)*(-5*k + 10*k - 13*k) to f*k + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2084, -9052, -20666, -36926, -57832, -83384?\n\"Answer: -2323*q**2 + q + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -34. Let t = y - -1. Suppose t*k - 23 = -2*c, c + 9*k - 4*k = 15. Solve -c = 5*q - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2660 (base 7) to base 6\nAnswer: -4422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.1813 micrograms to nanograms.\nAnswer: 72181.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/91 + (-10)\/(-7). What are the prime factors of (3 + k - 3)*11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0.3. Let v = 774276\/5 + -154855. What is the closest to -2\/7 in x, 1\/9, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -263 or -270?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(110)*5 - (-2*sqrt(110) - sqrt(110))*-6)*-3)\/(sqrt(250)*6 + -3*sqrt(1210)))**2.\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -853 or -835?\nAnswer: -853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-11)*(-440)\/60?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6108 and 40.\nAnswer: 61080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3521942 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1420*a - 19868. Let n be j(14). Suppose 2*k = -0*k. Sort n, 1, k, 5 in descending order.\nAnswer: n, 5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2645*u + 2645*u + 11*u**4 - 3*u**4)*(-1 + 0 + 0) in the form o*u**2 + j*u**3 + h*u**4 + c*u + i and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -30087033 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-279372)\/(-434)*1\/3 + (-16)\/28. What is the highest common factor of 46 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**6)**(-39) assuming p is positive.\nAnswer: p**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 + 2 + -10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/8 and -117\/98.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j - 53. Let m(y) = 16*y**2. Calculate m(h(v)).\nAnswer: 64*v**2 + 3392*v + 44944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*y + 740, 3*y - 14*m + 13*m - 555 = 0. Calculate the greatest common factor of y and 444.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/929 or 1?\nAnswer: -9\/929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19319540 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2 = -10. Suppose 0*r = 2*y - v*r - 4, 3*r = 12. Let m = 0 + 4. Calculate the remainder when y is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 45 = -4*r. Let w be (-153)\/r + 2\/(-5). Suppose -2*j - p = -j - w, 5*j + 15 = 5*p. Solve 0 = 3*h + 3 - j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 12*z - 18. Determine s(-8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 101.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54164, 108334, 162530, 216764, 271048, 325394?\nAnswer: 379814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24237 + 16912. Let j = -7292.948 - b. Let v = 32 - j. What is v rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 21*t - 13. Let b be -5 + 13 + (9 - -1)\/5. What is the remainder when a(b) is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6451 times -0.2439\nAnswer: -1573.3989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 6*x**2 - 6*x + 3. Let c be d(5). Let p be c\/14 + (-55)\/(-140). Let l = 0.9 + -0.2. What is the third biggest value in l, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 - 9)*(2*j**2 - j**2 - 11*j**2) in the form w*j + f*j**2 + q and give f.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -152 + -1134754?\nAnswer: -1134906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*a + a + a)*(1 - 2 + 0) - 22 + 22 + 5*a)*(0*a - 2*a + 4*a) to the form g*a + r + v*a**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - n. Suppose 3*s = 3*q - 6, -q + 16 - 32 = 5*s. Let y(w) = -16*w**2 - 20*w. Determine q*y(v) + 20*u(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -22*t - 70. Give p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 15682.3 millilitres?\nAnswer: 15.6823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.04246 weeks in microseconds?\nAnswer: 12726479808000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7320 and 649857400.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 3*d**2 - 6*d + 2. Let y(m) = m**3 - 5*m**2 - 11*m + 4. Calculate -5*s(x) + 3*y(x).\nAnswer: -2*x**3 - 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9.402401 and -2869?\nAnswer: 2859.597599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49696 - -49714. Let d = 15 + 6. Let j = d + 5. What is the lowest common multiple of j and v?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(15 - 14)*(-1)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285817 - -0.3.\nAnswer: -285816.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 343047 (base 10) in base 15?\nAnswer: 6b99c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -13\/6, 13600?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3, 4*w = 2*w + 5*a - 9. Let k be (-492496)\/(-96) - 2\/12. Let h(j) = -1 + 3*j + k*j**2 + 1 - 5127*j**2. Calculate h(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-25)*a**11*(a\/a**(-18))\/a**(-3\/10))**49 assuming a is positive.\nAnswer: a**(2597\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 6*m + 8. Let l be j(-7). Let o be l + -2 - (-96)\/52. Is 0 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 10*z - 2. Let c be a(5). Let b be (-6)\/c + (-34)\/(-16). Sort 10, b, 3 in increasing order.\nAnswer: b, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 11. Let m = s - 8. Let v = 2 + -3. What is the third biggest value in m, v, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - c**4 + 2*c**3 + 11 - c**2 - 5 in the form r*c**2 + o*c**4 + b + a*c + w*c**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 3\/34, -5?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v - 46. Let j be s(-20). Let m = j - 42. Suppose -2*t = m - 34. Calculate the remainder when 48 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.783 + -0.155. Let k = n - -0.9379214. Round k to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628019821.\nAnswer: 11, 13, 251, 17497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5549, 11096, 16643, 22190, 27737?\n\"Answer: 5547*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 9:48 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 96. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*v + 18*v + 1 - 21*v)*(0 - 2 + 5).\nAnswer: 99*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -665, -1540, -937, 2830, 11447, 26600, 49975, 83258?\n\"Answer: 281*v**3 - 947*v**2 - v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 225? (a) 5\/3 (b) 362 (c) -2 (d) -2\/7 (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68515 - 57?\nAnswer: -68573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 99*y**2 + 2*y - 1. Let g be c(1). Suppose -4*x + g = -3*x - 3*p, -3*p - 355 = -4*x. Suppose x = 5*r + 2*t, -4*r + 2*t = -26 - 24. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41854 is divided by 1394?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s + 8*s**2 + 21*s.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 2*l - 2. Calculate a(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19152)\/95)\/21 - (-9 - 0).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3))**(5\/9))**(-18) assuming v is positive.\nAnswer: v**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*r**2*u**2 - 185*r*u**3 + 2*u**3 - 581*u**2 + 13*u wrt r?\nAnswer: 56*r*u**2 - 185*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3387 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.07, -12, 226 in descending order.\nAnswer: 226, 0.07, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/sqrt(5)*-2 + (sqrt(136)\/(sqrt(40)\/sqrt(5)))**2.\nAnswer: -2*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*344)\/(-2) - -2. Suppose 0 = 2*u - 9770 + 9754. What is the units digit of 36\/27*j\/u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.104 + 2.604. What is the closest to -3.79 in -4, f, 3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324700 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.371 - 5.371. Which is the smallest value? (a) 3 (b) r (c) -4 (d) -3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a milligram in micrograms?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56448451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(9\/6 - 0). Let g be 3 + -2 - (-18)\/s. Suppose -2*w + 2*v = g*v - 60, -50 = -w + 3*v. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 145460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7669589 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -977318*i + 602142 with respect to i.\nAnswer: -977318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6644 is divided by 935?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/7 + 0)\/((-224)\/336). Let o be (-7)\/((-28)\/(-16)) + 9. Suppose a - 1 = 4*p, -5*a + 4*p = -p - o. Sort a, -21, t, 0.1 in increasing order.\nAnswer: -21, 0.1, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 2)*(3*j**2 - 2*j**2 + j**2) - 2*j**2 - 2*j + 2*j - j**2 - 4*j + 4*j + (7*j + 3*j + 2*j)*(-j + j - j) to the form m*j**2 + b*j + a and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 1 + (-18)\/3. Let n(k) = -k**3 - 3*k**2 - 8. Let p be n(y). Suppose -2*r = -2*f + p, 2*f - 54 = r + 43. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 8*h**2 - 4*h + 32. Let y be d(8). Suppose -3*v + 5*k + 1321 = 0, 3*v - 2*k + 3*k - 1309 = y. List the prime factors of v.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**2 - 43*a**2 + 19732 - 19732 + 49*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 29*r - 28*r. Let n(i) = 3 + 17 - r + 0*i - 3*i. Give n(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 4)*(50 - 50 - 19*m)*(-2 - 1 - 1) in the form h*m + s and give h.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from pworwdrdcwrwor.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 4\/3 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 356\/19973 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -720 - -3?\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 0, -7, 0.95, -5, 2\/13 in decreasing order.\nAnswer: 64, 0.95, 2\/13, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798986816.\nAnswer: 2, 131, 157, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(-8) - ((-282)\/48 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-162)\/(-45)*5\/3. Suppose 30*h = 32*h - d. What are the prime factors of (-9)\/h - (-68 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -236.903, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - 10\/(-6). Suppose -22*b + 4*p + 170 = -17*b, -200 = -5*b - 2*p. Suppose 42*d - b*d - 40 = 0. Solve -2*f + 7*f - 25 = -m, -4*m + k*f = d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -6601, 0.3, 2\/13, -5, 0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -360*o + 300. Let r(l) = l - 3. Let c(g) = b(g) + 100*r(g). Let m(z) = 3*z**2. Determine c(m(v)).\nAnswer: -780*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 72547 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(162)*-3)\/(sqrt(294)*3*-5).\nAnswer: -18*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/34236 and -131\/306.\nAnswer: 582012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + o = -20. Suppose -s + 3 + o = 0. Calculate the greatest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3\/(-20)*-5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 5014*b - 5016*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2660 and 43461968?\nAnswer: 1521168880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p + 126 = 0. Let d = p + -35. Determine o so that -5 - 8*o**3 + 4*o**4 - 2 + d + 4*o**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -172*d + 77. Let m be j(0). What is the greatest common divisor of 561 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8112 divided by -312.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*v = -18, 4*v = -6*t + t + 22. Solve x - 6 = -t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 376\/455 + 2\/65. Let w = 613 + -613.007. Let a = 0.193 - w. What is the second biggest value in j, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1843 divided by 961.\nAnswer: -1843\/961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 + 0*w**2 + 2*w**2 + (-1 + 2*w + 1)*(-3 + 3 + 2*w) - 2*w**2 + w**2 + 3*w**2 - 81*w - 10*w**2 + 81*w + (1 + 0 + 1)*(-4*w**2 + 133*w**2 + 61*w**2).\nAnswer: 374*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 + r - 2. Let n(x) = 8*x**2 + 7*x + 1. Let o be n(-1). Give d(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 304*a**5 - 2*a**4 - a**2 + 4*a + 19.\nAnswer: 18240*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 978.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o*o**(-4))))**(-1\/31)*o**(2\/25)*o*o*o\/(o*o*o**(-1\/5)*o*o) assuming o is positive.\nAnswer: o**(-508\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 683 - 653 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.01212939*19\nAnswer: 0.23045841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o**2. Let i(v) = -2*v**2 - v + 493. Determine i(s(k)).\nAnswer: -98*k**4 - 7*k**2 + 493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 4)*(-104 - -1). Let a = -513\/5 - w. Let m = -1947\/8 - -243. Do a and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 3. Let a(r) = 10 + 3 - 9 - 2*r. Calculate 6*a(j) - 7*i(j).\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -494 - -1117. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1 + 11 = 0, l - 4 = -2*f. Let c = -4 + 2.1. Let q = -2.1 - c. Put -0.3, q, l in decreasing order.\nAnswer: q, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 3*v + 3260 + 11*v - 3302 to the form r + j*v and give r.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 + (2 - 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - h - 2. Let j(n) be the third derivative of 0*n - n**3 + 1\/20*n**5 - 160*n**2 - 1\/8*n**4 + 0. What is -17*g(c) + 6*j(c)?\nAnswer: c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14603916.\nAnswer: 2, 3, 59, 20627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 3:58 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*a - 2598, -3904 = -3*y + 4*a - 0*a. List the prime factors of y.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lttaose. What is prob of sequence ls?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 5*i**2 - 7*i + 8. Let y be a(6). Suppose o - 4 = -0*o, j - 6 = -o. Let -c**y + c**2 + 2*c**j - 2 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556308.8 hours in minutes?\nAnswer: 33378528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202 and 707?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333730797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -2 (b) -1\/30 (c) 0.09 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 447722.7 months?\nAnswer: 37310.225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 7. Let b be f(9). Let g be (((-180)\/(-35))\/4)\/(b\/(-10)). Let k be 2\/(((-4 + 2)*1)\/6). Is k at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7803, -7759, -7715, -7671, -7627?\n\"Answer: 44*s - 7847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -602 - -3021\/5. Is c greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-15))\/((12\/27)\/(50\/9)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 3*y + 1. Let m be g(2). Suppose 2*q = 0, q = 5*a - 4*a + m. Let x = -3 - a. Is 1 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 17*s**3 - 42*s**2 + 29*s + 280. Is t(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 318514890 and 680.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7}. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25860 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*v - 4, -5*w + 10 = 5*v. Suppose -7 = -w*f - 1. Suppose 0 = -5*o - g + 10, -2*o + f = -3*o - g. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193.9 + -209. Let p = x + 15. Which is the closest to p? (a) 1 (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 734 - 738. Let g = -0.4 - 0.1. Sort -1\/9, g, d, -0.17 in ascending order.\nAnswer: d, g, -0.17, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4378 - 1.1378. Sort 0.5, 3, 1.3, t, -52 in descending order.\nAnswer: 3, 1.3, 0.5, t, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10762135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00213051 to five decimal places.\nAnswer: -0.00213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4013*u + 5. Is k(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -f + 1236*y - 1233*y, 0 = 2*f - 13*y - 133 for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3752 and 185654052.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1340 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1284298601?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4984514?\nAnswer: -4984514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4488283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1664714, 1664681, 1664644, 1664603, 1664558, 1664509, 1664456?\nAnswer: 1664399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 6:17 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-180))\/(1\/((-3)\/(-2)))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 greater than or equal to 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 47?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 15021644?\nAnswer: -15021655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17652*d*n**3 + 38199*n**3 wrt d.\nAnswer: -17652*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/6)\/((-9)\/351). Let n be a*(-4)\/60 + -1. Let q be (-6)\/3 + (-16)\/(-6). What is the third biggest value in 0, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1491*i - 94807 = -1559*i - 33807 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(6*(-2*sqrt(117)*3 + sqrt(117) + sqrt(117) + sqrt(117)))\/((sqrt(36) + (sqrt(72)\/sqrt(2) - sqrt(36)))\/sqrt(4) + sqrt(108)\/(sqrt(12)*-2)) + 1)**2.\nAnswer: 360*sqrt(13) + 421201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + (9 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2124435691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 7, -2\/3, -1463?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 310 = -5*l, -4*l + 3*t - 8*t + 248 = 0. Let w = 65 - l. Let k = 1 - 1. Solve 5*c + 3 = 2*u - k, -c = w*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 242029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + (5 + ((sqrt(68) - (sqrt(68) + sqrt(68) + (-1*sqrt(68) - sqrt(68)) + sqrt(68)))*-6)\/(1*(sqrt(100) - sqrt(4))))**2)*4.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 231797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1089339 + 0?\nAnswer: 1089339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 3*i + i)*(3 + 0 - 1)*(1 + 7 - 1).\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -278, -573, -728, -743, -618?\n\"Answer: 70*a**2 - 505*a + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 30*r**2 - r - 10. Give d(30).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3209810 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: Is 7 != 2\/6481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1 (b) 3\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2185, -3216, -3099, -1828, 603, 4200, 8969?\nAnswer: 14916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 10 = -k - 3, 3*k = 5*h + 15. Calculate the remainder when 489 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m**3 - 156*m**2 + 3074*m + 3696 = 0.\nAnswer: -21, -8\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 840291 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 3. Let g be w(4). Solve 4*h + g = -1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -48*j + 51*j - 24, -2*j = 4*r - 28. What is the remainder when 68 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 15*k**2 - 94*k + 49. Calculate the remainder when a(-9) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 2\/5, -2, 5575, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 3*p**2 - p - 3. Let k be t(-3). Let z = -114 - -115. Let u be z - -1 - (3\/5 - -1). Which is greater: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.06 - 0.06. Let r be 182\/(-1911) - (-1 + (-6)\/63 + -3). Sort n, r, -0.3, 3\/7 in descending order.\nAnswer: r, n, 3\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n*p*w**2 + n*p + 2*n*w**2 - 16*n*w - n + 15*w**4 - w**3 + w wrt w?\nAnswer: -6*n*p + 4*n + 180*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66924 and 7436.\nAnswer: 66924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 4. Let f(t) = 1. Let z(k) = -6*f(k) + j(k). Let s be z(7). Is s greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 62\/(-14) - (-9)\/21. Let o be 2 - (-1 + (w - -2)). Find the third derivative of -2*u**2 - 9*u**3 - o*u**5 + 9*u**3 wrt u.\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 5:31 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 + -64. Calculate the greatest common divisor of 16 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4035 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-four fifths of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 2. Let c(i) = -9*i + 8*i + 6*i + 11 - 2. Let l(f) = 2*c(f) + 9*g(f). Let o(b) = 6*b + 2. Determine -5*l(s) + o(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + f)*(2*f**3 + 0*f**3 + 0*f**3 + (2*f - 3*f**2 - 2*f)*(0*f - 6*f - 2*f)).\nAnswer: 26*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-4 + -1 - (-31 - (-51 + 29))) + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1320 and 4?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22157.33 and 30.\nAnswer: 22187.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39\/14 - 9\/7. Let v(u) be the first derivative of -3*u - 2 - t*u**2 - 1\/3*u**3. Give v(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -36, 0, 30, 18, 21 in decreasing order.\nAnswer: 30, 21, 18, 0, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 19. Suppose -p*u + 1835862 = -164138. Round u to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k + 6. Suppose -34 = -2*f + k. Let t be 1\/(-4) + f\/(-24). Let w(c) = 4*c**2 - c - 1. Determine w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + 50 + 177 + -103.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 6:21 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -27. Let i be (2 - 1)\/((-5)\/(-10)). Suppose -3 = -i*h + 13. Calculate the least common multiple of h and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*f**2 + 25*f**2 + 13*f**3.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 170903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -3, 0 in descending order.\nAnswer: 54, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 148573706?\nAnswer: 148573706.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 - (-626)\/6. Let f = 6 - -4. Let x = f + 3. What is the highest common factor of c and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 0, 4767, -4 in increasing order.\nAnswer: -4, -1, 0, 6, 4767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*f + 66*f - 34*f)*((0*f**2 - 2*f**2 + 0*f**2)*(-1 + 2 + 0) - 3*f**2 - 2*f**2 + 3*f**2).\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -812 by 4.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j + 5 = 26*j, 4*x - 2*j + 18 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -0.028, -0.3, 1\/6 in increasing order.\nAnswer: -0.3, -0.028, 1\/6, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0 + 6. Suppose -3*r = -j, -2*p + 7*p + r - 167 = 0. Let w = p - 18. Calculate the remainder when w is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 - -69. Let x(t) = -2*t**3 + t**2 + 2*t + 5. Let y be x(0). Suppose c = 5*v - 2*v - 15, 0 = 5*v + y*c - 5. Sort 1.4, h, v in increasing order.\nAnswer: h, 1.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/31279 and 48\/17515.\nAnswer: 17672635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -142\/7. What is the nearest to j in 0.5, -6, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001033194 rounded to 5 dps?\nAnswer: -0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*q = 127*q + o + 14, -3*q = -66*o + 68*o + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -137587?\nAnswer: 137611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 14) in base 9?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33134322 (base 6) in base 2?\nAnswer: 11110010010010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 5 (b) 0.1 (c) 3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555682 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 3*p - 22, -4*t = -6*p + p - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 1 - -3)*16\/4. List the prime factors of (c - (-5 - 2))\/((-1)\/(-17)).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 12*n**2 - 7*n + 20. Let u be g(12). Let t = 117 + u. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -24*u - 64. Let n(y) = -11*y - 25. Calculate 7*n(d) - 3*s(d).\nAnswer: -5*d + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/1 + 3)*-15. Let s = -1 - h. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7323*o**3 + 23*o**2 + 1473841.\nAnswer: 21969*o**2 + 46*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-220)\/(-198)*((-72)\/(-20))\/6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48350\/9 - 5372. Which is the third biggest value? (a) 7\/9 (b) -2\/17 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 4*b - 14. Suppose 3*w - 28 = -w - k, -4*k + 10 = -w. Let f be h(w). Sort -5, f, 1 in increasing order.\nAnswer: -5, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 30527*m + 2594851. What is y(-85)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 - (5 - 3) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10) - 208\/20. Let h = -7 - m. Suppose -2*q + 5*t + 30 = h*q, 4*q = -t + 44. Calculate the highest common divisor of q and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -c + 2*o + 22, -4*c + 113 = o. Suppose -c = l + 2*l. Let u(y) = -y - 5. Let v be u(l). Solve 2*a - a + v = -m, -20 = 3*m - 5*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 1. Let z be l(-1). Let c = 30\/7 - 113\/28. Are c and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -388\/7, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81414 or 1\/2?\nAnswer: 81414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(4800) + 1))**2.\nAnswer: 720*sqrt(3) + 43209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 12*k + 10. Let z be j(13). Let q(c) = -36*c - 8*c - 1 + 0*c. Is q(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-717)\/(-1673) + (-34)\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/3 - (-143)\/(-156))\/(1\/10)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/6 + 5)\/(-2). Let x(s) = -s**2 - 4*s + 2. Let v be x(-4). Let r(l) = -2*l + v*l + l**2 - 1. Give r(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.377 + 201.623. Let g = x - 201.702. What is g rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 - 499 = -5*x - 3*z, 5*z = -x + 187. Sort x, 0.2, 4 in descending order.\nAnswer: x, 4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*f = -152*f - 213*f - 8085 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282692 to the power of 1\/2, to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/20*40\/(-24)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-1 + ((-2*sqrt(153))\/sqrt(9))**2 - (6*(sqrt(119)*1 - sqrt(119)))\/(sqrt(28)*3 + sqrt(7)).\nAnswer: -3*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:39 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -48 - (-268 - -218).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3071*k + 3970*k**2 + 3*k**3 - 3310*k**2 + 3304*k + 15750 = 0. Calculate k.\nAnswer: -210, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 0.4, -93, -1\/6, 3\/127?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1141, -2388, -3669, -4996, -6381, -7836, -9373, -11004?\nAnswer: -12741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*n - 2932 - 348 = -144 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -91*j - 14. Let y be c(-9). Suppose -2*m + 541 + y = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9630*q**2 + 13775 - 16544 - 1845*q**2 wrt q.\nAnswer: 15570*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-38))\/((-1778)\/4826)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69894904 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 3. Let i = 17 + k. What is the least common multiple of 1 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 233*j**2 - 51*j - 265. What is the ten thousands digit of z(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3 - 20441*t**2 - 20438*t + 40880 = 0.\nAnswer: -20440, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3057183 and 324?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*u = -5*f + 43, 4*f = -3*u + 13. Suppose -3*m - f = 8. Let c = -2 - m. Solve -13 - 4 = -c*j - l, 0 = -4*j - 4*l + 28 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 3*w**2 - 2. Let n be m(2). Let q = n + -15. Suppose 940 = -0*a + 5*a - q*k, -2*k + 774 = 4*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0321039 rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79099847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4113000 rounded to the nearest ten thousand?\nAnswer: 4110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*o**3 - 301*o + 5785.\nAnswer: -21*o**2 - 301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -799 or -10386\/13?\nAnswer: -799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**23\/(i\/i**(4\/15)) assuming i is positive.\nAnswer: i**(334\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 <= -677401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**3 - 2*a**2 + 1. Let n be m(1). Suppose -n = -4*s + 13. Let u = 6 + -4. Solve -3*g - g = 5*x + 22, -u*g = -x + s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**7\/84 - g**6\/10 + g**5\/8 - g - 4. Factor t(k).\nAnswer: k**3*(k - 5)*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + z + 20*z + 12*z - 322 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -111000101010011010 (base 2) to base 5\nAnswer: -24411330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8946 is divided by 2982.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 218357.97 rounded to the nearest 1000?\nAnswer: 218000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21221 + -10?\nAnswer: 21211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1073*d - 5474. What is o(6)?\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 312, 1242, 2798, 4986, 7812, 11282?\n\"Answer: b**3 + 307*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 68551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4215 - -4243. Calculate the least common multiple of 564 and z.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.3276359644 rounded to 3 dps?\nAnswer: 0.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9948662.\nAnswer: 2, 71, 70061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)\/(sqrt(48)\/sqrt(4)))\/(sqrt(36)\/sqrt(64)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 88799096 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -8. What is the second smallest value in 0.11, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2. Let o = 25.4 - 22. Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1420*y - 26982. Give c(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 126*i - 11. Let o(b) = 25*b + 2. Determine 11*o(f) + 2*u(f).\nAnswer: 2*f**2 + 23*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 5. Let n be g(-4). Let f = -10 - n. Suppose 0 = -p + 2*t + 4 - 6, 0 = 3*p + f*t - 16. Put -1, -3, p in decreasing order.\nAnswer: p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b - b - 1 - 4*b. Suppose 2*o + 32 = 3*o. Calculate the remainder when o is divided by g(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11213 (base 4) to base 14.\nAnswer: -1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 29 + 2 + (-7 - 14 - 7) + 24?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 721 + -703. Suppose -n*h = 87405 - 756519. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 5. Let z = -272 - -263. What is the lowest common multiple of 10 and x(z)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - z + 20*z + 2 - 2 - 4*z + 5*z + 0*z + (0 + 3 - 1)*(0*z + 5*z - 3*z).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 34*p**3 - 15*p**3 + 86459*p**2 - 86432*p**2 + 6*p.\nAnswer: -49*p**3 + 27*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080107 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339.\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 377 in -3\/4, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 289*r**3\/9 - 1748*r**2\/9 + 28*r\/3.\nAnswer: r*(r - 6)*(289*r - 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1253, 4161, 8969, 15677?\n\"Answer: 950*r**2 + 58*r + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/132 and -56\/1815.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**1)**42*(d*d**1*d)**(2\/7)*(d\/d**(9\/4)*d*d**(-6)*d)**(4\/25) assuming d is positive.\nAnswer: d**(3\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -829.\nAnswer: 33\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -107.\nAnswer: 12\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + 1. Calculate the remainder when 29 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2214 + -14?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.8, 10, -1\/2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 55511, 55515, 55519, 55523, 55527?\n\"Answer: 4*i + 55507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 29*g**3 + 2*g**2 + 6*g**2 - 8*g**2 in the form t*g**3 + f*g + z + x*g**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -145? (a) -2\/13 (b) -0.4 (c) -0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**4 + 80*l**3 - 216270*l**2 + 13392280*l + 332423905 = 0.\nAnswer: -239, -19, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w - 16 = 5*d, 0 = 2*w + 3*d. Let n(x) = 3*x - 7. Calculate the remainder when n(5) is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g. Let k(n) = n**3 - 9*n**2 + 17*n - 11. Let z(j) = -k(j) + 5*r(j). Let x be z(7). What is the greatest common divisor of 200 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 7*n**2 + 5*n + 6. Let i be m(6). Let a(z) = z - z**2 + 2 + 0 + 1. What is the units digit of a(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23c68 (base 16) to base 15.\nAnswer: -2d641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u - 1783*u - 59636 = 0 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476355?\nAnswer: 5, 295271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 7:57 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 + -13645?\nAnswer: -13644.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377610 = 2*o + 13*o. List the prime factors of o.\nAnswer: 2, 41, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1111 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-2)*13\/((-130)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 78*x. Let a be v(2). Let m = a - 133. Solve 3*t + m = -2*o, 2 - 23 = -o + 5*t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -299\/6382 or -1?\nAnswer: -299\/6382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 30. Let b be 1 + -9 - (-10)\/o. List the prime factors of 4\/(-20) - 572\/b.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.6 + -15.5. Let k = -105 + 99. Which is the nearest to 0.2? (a) k (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4608 and 7871616?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-1))*d)**(-2\/65))**(17\/2) assuming d is positive.\nAnswer: d**(-34\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52, -35, -20, -13, -20, -47, -100?\n\"Answer: -o**3 + 5*o**2 + 9*o - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*u**3 - 350*u**3 - 242*u**3.\nAnswer: -473*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 791 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - v + 5 - 4*v)*(-2*v**2 - 3*v**3 - 3*v**3 + 4*v**3 + (6*v**2 - 4*v**2 + v**2)*(3*v - 2*v + 2*v)).\nAnswer: -35*v**4 + 24*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -34 + (-233 - -92 - -160)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by ((-100)\/(-35))\/(6 - 624\/105).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5913.319kg in nanograms?\nAnswer: 5913319000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708101 is divided by 1639?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1064103.1 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v - 96 = -12*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.417, 0, 2.3, 4, 2, 0.5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) + sqrt(44)\/sqrt(4) + 0 + 1) + (2 + sqrt(22)\/(sqrt(6)\/sqrt(3)) + 0 + sqrt(99))**2.\nAnswer: 10*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -33. Let m be 3 - (o - -2) - (-6)\/2. Suppose 3*p - 263 = -4*q + 788, -3*p + 3*q + 1065 = m. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + q = -3*q + 118, -66 = -g + 4*q. Solve g = -16*s - 50 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 4. Calculate u(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*z - 2 = 0, 4*z + 3 = 11. Find the first derivative of h**2 + 11*h**2 - 9 + 3*h - 2 - d wrt h.\nAnswer: 24*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1 (c) -4 (d) 2\/5 (e) 12 (f) 2\/13785\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 19 = p + 3*v, 226 = 24*p - 5*v. Let h(i) be the third derivative of 0 - 1\/24*i**6 + 0*i**5 + 5\/6*i**4 + 0*i**3 + 0*i + p*i**2. Factor h(x).\nAnswer: -5*x*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -14 - 12) + 1 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 13. Let r(s) = -s**2 - s + 13. Let p be r(0). Let z be b(p). Solve 4*c - 17 + 5 = z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (5 - 10) + -1 + -3 + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13567702807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*f**5\/6 - 41*f**4\/2 + 173*f**3\/6 + 505*f**2\/2 - 150*f = 0. Calculate f.\nAnswer: -3, 0, 4\/7, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:30 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*n - 12, -u = -3*u - 3*n + 10. Suppose f + f = u*o + 20, 2*f = -2*o. Find the second derivative of 33 - 4*w**f + 4*w - 33 wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1369, -5498, -12373, -21988, -34337, -49414, -67213?\nAnswer: -87728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**3 - 3*g**2 + g + 3. Let k be i(-1). Let h(x) be the first derivative of 3\/2*x**2 + 1 + k*x. Let c(y) = -3*y - 2. Determine -3*c(m) - 2*h(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -17 - 81. What is the highest common divisor of p and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.9 in 2\/5, 1\/20, -2\/11, -2\/41?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 4*k + 20. What is the remainder when 420 is divided by b(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 12:17 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 129*t - 64. Let u be y(38). Suppose -2*s = -3*r + u, -3*r + r - 2*s = -2276. Calculate the remainder when r is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/5)\/((-2)\/10). Suppose -a*r + 40 = 6*r. Suppose 0 = -2*f - 4*z + 12, 0*f - 2*z + 6 = -f. Solve f*s - r = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -7 - -1) + -4. Let y be ((-26)\/w)\/(13\/26). Let x = y + 13. What is the second biggest value in -3, x, 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -2*n - 15, 5*n = 3*a - 1146. Is 1*(a + 6 + -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4\/l)\/((l\/l**1)\/l))\/(l**(-3\/8)*(l**(6\/5)*l)\/l) assuming l is positive.\nAnswer: l**(127\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - -2 - -2) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/79, -2\/5, 4502, -3 in ascending order.\nAnswer: -3, -2\/5, -6\/79, 4502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5572178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 14. Let i = 2 - 1. Let m(j) = 4*j + 2*j - j**2 - j + 0*j**2 - i. What is m(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:40 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 6102193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2579, -64, 2, 5.\nAnswer: -2579, -64, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b24b + 0?\nAnswer: -b24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n\/(n*n\/n**(6\/11)*n))\/n))\/(n**(-10\/7)*n))**(-4))**(-1\/79) assuming n is positive.\nAnswer: n**(1196\/6083)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 322144501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*z + 12, -4*u + u = -5*z - 17. Let r(p) = -p**3 - 5*p**2 + 5*p - 1. Calculate the remainder when u is divided by r(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*j**3 - 6 + 6)*(163 + 9*j**2 - 161 + 21*j + 0*j).\nAnswer: -234*j**5 - 546*j**4 - 52*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2793 - 2790. Solve 6*m - 3 = i*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*h**2 + 1 - 4*h**2 - 8*h**2 wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -4*m - 18, 8*m - 5*m + 14 = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -11*l + 14*l. Suppose 6 = r - h, -3*r + h - 2 = -12. Sort r, -3, l in increasing order.\nAnswer: l, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 6:10 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -294*m**3 + 48*m + 48. Let r(i) = -646 - 9*i**3 + 641 + 28*i**3 - 5*i + 12*i**3. Determine -5*b(x) - 48*r(x).\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -280*j**3 - 28*j - 28. Suppose 4*n - 15 = 5, 3*r - n + 20 = 0. Let g(k) = -51*k**3 - 5*k - 5. Give r*y(z) + 28*g(z).\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/10552336 and 71\/42209344.\nAnswer: 42209344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 772214 to the power of 1\/2, to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -21*v**3 + 2*v + 1. Let j be -3*(-10)\/12*4\/(-10). Let s be 11\/11*j\/1. Is h(s) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4 + 4*q + q - 7. Let s(t) = 2*t + 5 - 8*t - 3*t. Give -3*s(x) - 5*z(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x. Let s be 14\/4 + 3\/(-6). Suppose 4 = -f - 4. Let t(h) = 3*h. Let q(g) = g**2 + 8*g. Let r(j) = f*t(j) + s*q(j). Determine r(m(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**4 + 11975*f**3 + 2*f**2 - 3*f + 154115 wrt f?\nAnswer: -8*f**3 + 35925*f**2 + 4*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -280, -414, -570, -754, -972?\nAnswer: -1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l + 0 + 0*l - 2. Let j(h) = 11*h - 5. Determine -7*f(q) + 3*j(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z + 5*f + 6, -3*z = 3*f + 18. Let k = -11 - -34. Let i = -23.5 + k. What is the closest to 2 in -5, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czxcczvzxczzv. Give prob of sequence xx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 14, k: 1, h: 5}. What is prob of sequence kko?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594912419.\nAnswer: 3, 177212491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7534706\/133189 + -2\/19027. Let r = s - 6701\/126. Find the common denominator of 41\/21 and r.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1277 - -1368. Suppose -1876 + 124 = -2*u. Let d = u + w. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**6\/20 + p**5\/4 - p**4\/6 - 2*p**3\/3 - 10*p. Suppose o(w) = 0. What is w?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from ppxpxppppppp?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 38019*c**2. Let r(z) = 3*z. Give m(r(u)).\nAnswer: 342171*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429 + 2008 = 90*c - 2781 - 140 for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (60\/8)\/((-14)\/(-6608)).\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 763181\/6440 + -2730\/23. Find the common denominator of h and 179\/210.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 171, 450, 729, 1008, 1287, 1566?\n\"Answer: 279*c - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -1\/8, -0.5, -2\/11, 739?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 + -2.6. Let z = v - 0.2. Which is the nearest to 2\/5? (a) -0.5 (b) z (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 994 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 8) to base 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29604 and 841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, u: 4, b: 8}. What is prob of sequence iu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9171477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**5\/5 - 5*c**4\/3 + 122*c**3\/3 - 110*c**2 - 1259*c. Let d(f) = 0. Calculate f.\nAnswer: -11, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -67. Suppose p*f + 3*j - 523 = 0, -f + 45 = j - 85. Let m = 265 - f. What is the highest common factor of 33 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/11, -7, -34.7?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-34)\/(-14) + ((-3)\/(-7))\/(-1). Let p = 3.84 + -3.84. Which is the fourth biggest value? (a) p (b) 5 (c) -0.1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4122 in descending order.\nAnswer: 4122, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(38\/7)*c*(c*c**(2\/25))\/c assuming c is positive.\nAnswer: c**(1314\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310103667*p**3 - 9923358012*p**2 + 3904132*p\/3 - 128\/3 = 0.\nAnswer: 2\/30501, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-50)\/(-6))\/5)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*r + 94*r = 48. Calculate the lowest common multiple of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 340078, -5, 2 in increasing order.\nAnswer: -5, -3, 2, 3, 340078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 3 - -9 - 3) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19\/(133\/45) + 6\/(-14). Let i(b) = -161*b - 221. Let h(c) = 53*c + 74. Let o(j) = s*i(j) + 17*h(j). What is the first derivative of o(l) wrt l?\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -347*u**6\/3 - 2*u**3\/3 - 49*u**2 + 650. Find the third derivative of x(d) wrt d.\nAnswer: -41640*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.896375 rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1503760 is divided by 83542.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*(sqrt(35) + sqrt(35) + sqrt(140)\/sqrt(4))*-1)\/(-5*(sqrt(10)\/sqrt(2) + sqrt(5)) + sqrt(375)\/sqrt(3)).\nAnswer: -48*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15*17\/1122*-143*4\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.1. Let b = -48 + 46. Let p = 51 + -151\/3. What is the closest to f in p, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 587 = -5*f. Is f a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Let g be (-2 + -1)\/(-3) - 1. Suppose 3*z + 3*y = 4*z - 3, g = 4*z - 5*y - 5. Let o(a) = -131*a + 115*a + z + 0. Determine o(t(v)).\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39706 times 1?\nAnswer: 39706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101.41 - 102. Let u = 0.6 + n. Let g = u + 0.09. What is g rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a079 - -2?\nAnswer: a07b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 970052 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17174, 17300, 17426?\nAnswer: 17552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11102400 (base 5) to base 9.\nAnswer: -157327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 + 36\/10. Let r = -4 + u. Suppose 7*w + 15 = 2*w - 5*h, w + 4*h + 18 = r. Are w and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.814 + 3.414. Let q = 0.1 - 0.3. What is the nearest to -1 in -1\/35, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659617863.\nAnswer: 3, 219872621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83115, -76705, -70295, -63885, -57475?\nAnswer: -51065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -3)\/(2 - 1). Let l be w\/(-6)*(-39704)\/105. Let k = -593\/10 - l. Find the common denominator of -21\/4 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 126*y**2 - 2*y + 2. What is the least common multiple of 14 and v(1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2168*b + 139. Let x(n) = 1626*n + 107. Give 10*o(c) - 13*x(c).\nAnswer: 542*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 406.9481, 2\/9?\nAnswer: 406.9481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/5)\/n*n**10)**16*(n*n**2)**(-44)*(n\/n**(2\/25))\/n**(-1\/4) assuming n is positive.\nAnswer: n**(2597\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*f**2*g - 3*f + 2876*g with respect to f.\nAnswer: -32*f*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 25. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 + 0.1. Let y = -11\/9 + 119\/90. Are h and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**3 + 36*a**2 - 23*a - 22. Calculate p(11).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s - 10. Let y(b) = b + 4. Let k(i) = 5*a(i) + 12*y(i). Let g be (-6)\/(-14) + (-39)\/(-7). Suppose g - 4 = z. Determine k(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, -9, -1, 9, 21, 35, 51?\n\"Answer: g**2 + 3*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 327700 and 8023?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from ddwwww?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 35 + 35. Suppose -23 = v*x - 9. Which is greater: -4\/7 or x?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 55*u**4 - 292225*u**3 + 3840980*u**2 + 8056300*u - 1590000 = 0.\nAnswer: -2, 2\/11, 15, 5300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from rccbcbbcccb?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/8 + 3*o**3\/8 - o**2 - 3*o\/2 + 2 = 0 for o.\nAnswer: -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1904 and 7616.\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316583 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 14 - 31. Which is greater: u or 8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 418.0333 + -418. Let y = 0.03329411 - w. Round y to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 3*w**2 - 4*w - 2. Let i be (-33)\/(-3)*(-1)\/(-1). Let b = i - 7. Give k(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -188.9 - -189. Which is the third biggest value? (a) -0.5 (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.33 + -0.07. Let z be (-15)\/40 + 15\/40. Let u = 10.2 + -10. What is the closest to -6 in u, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/12804 and -59\/60.\nAnswer: 64020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2518591173 to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 0*k**3 - 2*k**2 + 1\/8*k**4 - 1\/120*k**5 + 0 + 1\/360*k**6 + 0*k. Let f(t) be the second derivative of h(t). Give f(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244459 (base 12) to base 16.\nAnswer: 8f985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/2839? (a) 3 (b) -2\/65 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(18))**2 + (sqrt(98) - sqrt(98)*-1) + 4.\nAnswer: 14*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*k - 6511 = -239*k + 83*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 5*d + 6. Let x = 26 - 31. Calculate the smallest common multiple of a(x) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (9 - (11 - -10) - 2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - -2b724d?\nAnswer: 2b725e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*c - 520*c + c**2 + 236*c as a*c**2 + k + f*c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81356140 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1\/5, -1, 2, 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1197 divided by -6.\nAnswer: -399\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -26. Suppose 4*h = -5*b + 15497, j*h + 4181 - 19648 = b. Let a = -1079 + h. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13175902063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 133221 to the power of 1\/2, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 16. Let p be u(-7). Suppose p*x = 148 + 132. Calculate the highest common divisor of 224 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -316050 to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8116763561.\nAnswer: 8116763561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 * -0.0823.\nAnswer: 0.015637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 21. Let c = 815 - 810. Solve -c*f - t = -2*f + 13, -a*t = 3*f + 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f = 0. Suppose f*k = -k - 3. Is k > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1536.939 micrograms?\nAnswer: 1536939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -4*d + 0*d**2 - 7\/3*d**3 - 1\/120*d**5 + 0 + 0*d**4. Let s(q) be the second derivative of y(q). What is s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v + 3 = 0. Suppose -16*f + 25*f - 18 = 0. Sort 0, f, v in ascending order.\nAnswer: 0, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -133 - -48129?\nAnswer: 47cc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 28. Let z be (-1)\/((14\/4)\/w). Solve z*n - 3 = 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 366 and 2074.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (161\/(-28) - -6)*(-56)\/119?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2978188\/75 + -39708. Calculate the common denominator of 97\/180 and b.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0033 + -0.0167. What is the smallest value in l, 7, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-11 + (-5 + -7 - -32) + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157924378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggmgggdzmzmz. Give prob of sequence mzm.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44381 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -131, -354, -647, -1004, -1419?\nAnswer: -1886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - b + 2*b)*(-b - 4*b + 3*b) + (-3*b + b + 4*b)*(-9 + 5*b + 9).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 + 68*f**2 + f - 34. Let i be h(34). Suppose i = -3*a - 9, t - 5*a = -69 + 981. Is 26 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8 + 3 - (4 - 3) - 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 14 - 19 - 10 - 5*l**2.\nAnswer: -5*l**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**4\/12 - 2*j**3\/3 + j**2 + 41*j. What is h(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25875 and 458275.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 116*a + 12. Suppose -69 = 4*z - 21. Let x be d(z). Round x to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 228703 - -1?\nAnswer: 228704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-20))\/(168\/(-40)). Which is the nearest to q? (a) 0.2 (b) 2\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 at most as big as -103\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/3490 - 6983\/10470. What is the nearest to 2\/5 in x, -4, -3, -83?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 + -337. Let s = -227 - r. Suppose 0 = 5*w - 3*u + u + 18, 2*w = -2*u + 4. Which is the biggest value? (a) s (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.34? (a) 3\/4 (b) 0.3 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15804*x**2 + 4317*x**2 + 13398*x**2.\nAnswer: 33519*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*j + 24. Let y be ((-2)\/(-4))\/((-3)\/j). Put y, 5, 1 in descending order.\nAnswer: 5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwa when three letters picked without replacement from awwwwa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.51391 to 2 decimal places.\nAnswer: 1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 47.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 9:13 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2055*w + 12235. Calculate l(6).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, 48, 95, 160, 249, 368?\n\"Answer: v**3 + 28*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 9265?\nAnswer: 9265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -1 + (2 - (-2 + 7)). Solve v = 61*z - 58*z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 265*m + 329. Is s(26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:44 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 99*q + 101*q = -66, -2*q + 14 = 0. Solve 42*a - 104 = v*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + (-2)\/((6\/(-58))\/(55152\/96)).\nAnswer: 2, 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8501*s + 17016*s - 8515*s + s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 16\/(4\/2). Let o(x) = -6*x**3 - 6*x**2 + 8*x + 15. Let h(q) = q**3 - 1. Let f(u) = 5*h(u) + o(u). What are the prime factors of f(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjjj when four letters picked without replacement from fjwjjjffjfjfjjjffjjj?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -50. Calculate the smallest common multiple of 8\/52 + 25\/26*z and 35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36006 divided by -3.\nAnswer: 12002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49068\/(-63450))\/((-20)\/(-150)).\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42568 is divided by 160.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5480)\/(-57540)*21\/80.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 3*q**2 + 59*q - 22*q + 2*q**2 - 36*q - 14*q**2.\nAnswer: -17*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 323441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9120888?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 24 = 2*b - 0*w, -4*b + 5*w = -57. Let x = -7 + b. Let u(g) = -58*g - 113. Let r be u(-2). Solve -5*j = -r*j - x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36809 divided by -3.\nAnswer: 36809\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2313 + 12?\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88242 divided by -3?\nAnswer: -29414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 187? (a) 0.1 (b) -4.142 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5460, -10977, -16538, -22131, -27744?\n\"Answer: 2*z**3 - 34*z**2 - 5429*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o - 2*o + 2*o)*(-1909*o**2 + 8882*o**2 - 1616*o**2) to the form x*o + p*o**3 + j*o**2 + n and give p.\nAnswer: -16071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + w. Let l be m(-2). Let f(a) = a. Let k be f(l). Is -1*2\/(k\/(-23)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/8 + 2)\/(3\/(-716)). Is 359 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-3 - (-12)\/4). Let u(k) be the first derivative of 1\/3*k**f + 0*k**2 - 2 + 0*k. Let z(b) = -4*b**2 + 2*b - 1. Give -5*u(w) - z(w).\nAnswer: -w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1729897?\nAnswer: 13, 133069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 6 + 0 - (-11 + (19 - 12) + 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41305, 40904, 40503, 40102?\nAnswer: 39701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 - -81. Solve -4*a = h - 5 - 16, p*a + 5 = 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*u + 266*u - 521*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1.4, 1\/6, 5?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmozmrvrvomvomrbvmz. What is prob of sequence zm?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**3\/2 - 7*q**2\/2 - 23*q. Let d(w) = 2*w + 4. Let b(j) = 7*d(j) + 4*t(j). Let f(o) = 94*o. What is f(b(l))?\nAnswer: 188*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/5 + ((-2270688)\/(-140) - 17)?\nAnswer: 2, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140400 + 140393. Let r = -11 - -15. Let t be 2 - (0 - 12\/(-7)). What is the third smallest value in r, n, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n - 3*n**2 + 3*n)*(5*n - 2*n - 2*n) + (-4*n + 2*n + 3*n)*(-n + n - n**2) to the form m*n + d*n**2 + y*n**3 + r and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -580084 divided by 145021?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 15*b + 3 = 0. Suppose -b*x = -r - r - 1821985, 3644010 = -4*r - 2*x. Round r to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 1 = 4*i. Let d be i\/(-2) - (12 - 1131). Suppose 0 = -2*g - 3*s + d, -3*g + 0*s - 3*s + 1680 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2201005?\nAnswer: 5, 479, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -807\/8 and -101 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 5*y - 69. Suppose 11*r - 7*r - y = 0. Suppose 2*z + b - r = -3*b, -2*b + 18 = 3*z. Calculate the highest common divisor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/(b*((b*b\/((b**(3\/2)*b)\/b))\/b)\/b*b*b))))**13\/((b\/(((b**1*b)\/b)\/b))\/b)**(-2\/55) assuming b is positive.\nAnswer: b**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by -5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 33504*d + 201479. Give o(-6).\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -5.51?\nAnswer: -11.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + o - 10. Let b be l(3). Factor 4\/7*z**3 - 4\/7*z + 4\/7*z**b - 4\/7.\nAnswer: 4*(z - 1)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 281878 + -27595. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2382 divided by 520\nAnswer: 1191\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116668718.\nAnswer: 2, 43, 103, 13171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.8 - -42.5. What is the second smallest value in -0.5, p, -4, 3, 55?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 107 = -347. Let i = -6 + 3. What is the least common multiple of 148\/12 + 1\/i and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -7264677?\nAnswer: 7264675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.543*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -3. Let w be -1*-33*(-5 - -4). Let z = -29 - w. Solve 25 = -k*r + z*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1718*i**3*r**3 + 61*i**3*r**2 - 4*i**3 wrt r.\nAnswer: -10308*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 83 = -1016*y + 1012*y, -5*j + 0*y + 2*y = 39 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 598 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183 + -86. Suppose -4*r + u = -5*x, -13 = -r + 5*x - 0*x. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16721577 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (26 + -26)\/(-1 + 0 - 1). Suppose -g + 3*g = -2*c + 6, 5*c - 2*g - 8 = h. Suppose -x - 10 = -c*z + 147, -248 = -3*z - x. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(100)*-3))\/((sqrt(1728)*-1)\/sqrt(6)))**2.\nAnswer: 1\/2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 5 = 2*u. Let s be (3\/(-3))\/((-3)\/(-9)). Sort s, u, 0 in decreasing order.\nAnswer: u, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 minutes before 6:05 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 32 = 31 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.29 times -16?\nAnswer: 1076.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**5\/7 - 372*h**4\/7 - 21016*h**3\/7 - 333876*h**2\/7 - 746982*h\/7 + 157464 = 0.\nAnswer: -81, -21, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -57*a**3 - 3108*a**2 + 1478*a - 383. Give q(-55).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3414\/(-7397) + (-727)\/(-26) - 30)*2\/215?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 2)*(k + 2*k - k) + 0*k - 15*k + 33*k to b*k + s and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -2\/15, -13, -0.2, -25, 1\/45?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-21408)\/(-32) + (12 + -3 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 716069*r**2 + 1145097 with respect to r.\nAnswer: 1432138*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808 is divided by 799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1178600 or -1178604?\nAnswer: -1178600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**2\/2 - 543*k\/2 + 270 = 0. Calculate k.\nAnswer: 1, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 586996 greater than 590002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 254689 and -72?\nAnswer: 254761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 - 5*f**2 - 7. Let q(c) = 2*c**3 + 4*c**2 + 6. What is -4*q(b) - 3*x(b)?\nAnswer: -2*b**3 - b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {b: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313000, -313118, -313326, -313630, -314036, -314550, -315178?\nAnswer: -315926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {t: 1, h: 2, r: 2, p: 6}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59.4 and 47695.8.\nAnswer: 2833130.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 30920?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 5*w**2 - 3*w**2)*(-4*w - 7*w**2 + 9*w**2 + w**2).\nAnswer: 3*w**4 - 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w + 232. Let b be u(-3). Solve b*k = 211*k + 36 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1745\nAnswer: -4\/1745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/(((b**11*b)\/b)\/b))*b*b)**(-11)*(b\/b**(11\/2))\/(b*b\/b**(-10)) assuming b is positive.\nAnswer: b**(-319\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8*v**3 + 7*v**2 + 7*v. Let l(f) = -3*f**2 - 15*f + 3. Let b be l(-5). Let c(m) = -9*m - 6*m**2 + 11 + b*m - 11 + 7*m**3. Calculate 7*c(z) + 6*y(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 5*n - z, -24*n - 274 = 5669*z - 5664*z for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (408\/2142*(-28)\/(-32))\/(44\/(-24))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r + 2*r)*(1895*r**2 + 0 - 1908*r**2 + 6).\nAnswer: 13*r**3 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 287 (b) -1\/2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 28, 70, 138, 238, 376?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - 0.8. Suppose 0 = 32425*r - 32408*r + 51. Which is the closest to l? (a) r (b) -1\/6 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -18 (b) 2 (c) 6 (d) 4 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26118377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.3. Let g = -2.9 + n. Let q = -2 + 5. What is the closest to q in -0.1, 3\/5, g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -1 (b) -3\/5 (c) 8 (d) 7\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158492 - 135603 = -131*v. Calculate the remainder when v is divided by 746.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 0*v + 12 + 9\/2*v**2 + 7\/3*v**3. What is the second derivative of f(h) wrt h?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12103 - -12098. Let j be (-268)\/8 - (-2)\/2. Let l = j + 32. What is the fourth smallest value in u, -2\/17, l, -4\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 0.1 (c) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32271875 and 11500?\nAnswer: 2875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - 3. Let a = 33 + c. Let m = 27 - a. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 9 = -2*x, x - 5*a = -2*x + 34. List the prime factors of (-2 + x)*(7 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034449488 to seven decimal places.\nAnswer: 0.0003445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10*y**2 + 26*y + 103. Let s be n(-12). Let t(u) = -u + 1234 + 3*u - s. Let b = 10 + -4. Let d(i) = -22*i - 34. Calculate b*d(f) + 68*t(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 3*q + 5. Let d be u(-3). Suppose 0 = 2*f - 3 - d. Suppose -f*j + 97 + 103 = 0. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.048*6.\nAnswer: 0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h**2 + 1079*h**3 + 19*h**2.\nAnswer: 1079*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwcwwwcwwhcwwwww. Give prob of picking 1 w and 1 h.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -4 + 4)*-2633 - 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62456117*j**2*x**3 - 3179*j*x**2 - j - 328*x**3 wrt j?\nAnswer: 124912234*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1642 + 733*h**4 - 4937*h**4 - 3289 + 1649 + 103*h**4 - 794*h**2 wrt h.\nAnswer: -98424*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-721)\/(-8) + ((-93)\/310)\/(36\/15). What is the greatest common divisor of r and 4470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and -0.02.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18119 - -50591. List the prime factors of r.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402332*w - 402262*w = 2240 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q + 16. Calculate the remainder when 21 is divided by p(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = 3*c. Let m be -15 - (4\/2 + -4). Let o = c - m. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 3, 21756480?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.494 * -1.682\nAnswer: 0.830908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**4\/4 - 4*b**3\/3 + 5*b**2\/2 + 3*b - 29. Let f be x(-5). Solve f = -2*a + a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a4b + 5?\nAnswer: -3a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5015 or 5014?\nAnswer: 5014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24069*o + 7901*o + 7745*o + 7854*o.\nAnswer: -569*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -950734554 divided by 587962\nAnswer: -1617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6511939 decades to months.\nAnswer: 78.143268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18456 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 17. Let o(y) = y**2 + 9*y + 20. Let c(w) = 8*w + 19. Let h(n) = -4*c(n) + 3*o(n). Calculate the remainder when h(6) is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 + -4)*(1 - 2). Suppose 4*v = -d + 4, -4*v + 3 = 2*d - 5. Let h = v - a. Solve -h*k = -4*j - 21, -5*k = -j - 2*j - 22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}