diff --git "a/data/dm_maths/full_data_1/127_11255.jsonl" "b/data/dm_maths/full_data_1/127_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/127_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Put -5, 5, -21 in ascending order.\nAnswer: -21, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -414 + 282. Let x = -87 - l. Suppose 29 - 74 = -3*t. Calculate the highest common divisor of x and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d*d)**(-16\/9))**(-6\/11) assuming d is positive.\nAnswer: d**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5649.\nAnswer: 3, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76\/3 or 1\/941?\nAnswer: -76\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 11*c**3 - 4*c - 88. Let a(x) = 21*x**3 - 9*x - 176. Let h(d) = 4*a(d) - 9*v(d). Differentiate h(b) with respect to b.\nAnswer: -45*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115742 is divided by 38479?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 35184.18 to the nearest 10.\nAnswer: 35180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 2*z + 16 + 19, -4*z = -4*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 - 4*a + 2. Let f be q(2). Suppose -2*j + 16 - 6 = 0, -5*y - 2*j + 40 = 0. Let l(u) = 12*u**2 + 9*u - 19*u**2 - 3 + y*u**2 - 5. What is l(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -9. Suppose -m*x + 0 = -3. Sort 0.3, 0.1, x in increasing order.\nAnswer: 0.1, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 298*c + 2474 - 13500. Let z = -24 - -91. Calculate the remainder when z is divided by c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k + 21 + 4*k - k)*(0 + 1 + 1) in the form o + r*k and give o.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(343) - (sqrt(343)*1 + sqrt(343))).\nAnswer: -sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0264 + -0.0736. Let k = -6 + 10. What is the second smallest value in i, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4\/7 + 312306*r**3\/7 + 37486320*r**2\/7 + 1499580800*r\/7 + 19995264000\/7 = 0 for r.\nAnswer: -40, 312426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*-1*sqrt(304) + (sqrt(304) - (sqrt(304) + -3))*-4)**2*-2 + 3.\nAnswer: -15397 + 800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = 0, -4*p - 4*c = p - 17. Let d(y) = -y + 9. Let z be d(p). Solve g - z = -3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -17. Let d(i) = 3*i**2 + 3*i - 5. Let a be d(-4). Let o = a + x. What is the greatest common divisor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 43\/(-9) + (3 - 116\/36). Let c be 2*1*(-3)\/3. Sort s, 1, c in ascending order.\nAnswer: s, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35466402, -35466401, -35466398, -35466393?\nAnswer: -35466386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 48\/16*(-2)\/(-12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**6\/6 + g**5\/4 + 5*g**4\/4 - 5*g**3\/6 - 5*g**2 + 34*g. Factor b(c).\nAnswer: -5*(c - 2)*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 + 416*x**2 - 137*x + 429. Determine v(-139).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 3 = -9*i. Let f = -15 + 11. What is the remainder when (-6)\/(-10) - f\/10 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3625*m + 1771*m - 3145*m - 4186*m + 1560*m in the form f*m + b and give f.\nAnswer: -7625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 1)*1\/(-10). Let p = -1\/419 + 1264\/2933. Which is the fourth biggest value? (a) u (b) p (c) 4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-2) + 40780\/40. Let l = g + -1023. Which is smaller: 8\/121 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332829 divided by 6.\nAnswer: -110943\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*n**3 + 225256*n + 82 - 225257*n + 75.\nAnswer: 241*n**3 - n + 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 136\/12 - (-2)\/(-6). Let s(h) = -6*h**2 - 4*h + 6. Let r(d) be the second derivative of -d**4\/12 - d**3\/6 + d**2\/2 - 9362*d. Calculate v*r(n) - 2*s(n).\nAnswer: n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*w - 164, -2*u - 4*w + 108 = -0*u. Let v(k) = 4*k**2 + 8*k**2 + 5*k - 17 - 9*k**2 - 2*k**2. What is the remainder when u is divided by v(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5079428543?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(81))\/sqrt(9) + sqrt(108)\/(sqrt(12)*1))\/((sqrt(363) - (2*sqrt(363) - sqrt(363) - sqrt(363))) + sqrt(363) + sqrt(27)\/(sqrt(27)\/sqrt(3))).\nAnswer: -sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3151 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 smaller than 10706\/1317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -14*x. Let v(q) = -820*q**2. Give v(r(w)).\nAnswer: -160720*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2. Let x(s) = -2*s - 10. Let v be x(-6). Let a(l) = -351*l**v - 2*l + 349*l**2 + 4*l. What is a(g(r))?\nAnswer: -18*r**4 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -852 - -912. Suppose 0 = -3*d + 4 + 32. Calculate the greatest common factor of p and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1622207336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 1 + x**2 - 1.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6252.\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*x + 2*p + 4, 0 = -5*x + 4*p + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 20020\/57 and 350 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*((-942)\/189 - -5)*-30.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2110951 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4.2 times 53165\nAnswer: -223293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 - 11*s + 3. Let q = 0 + -4. Let d(b) = -b**2 - 4*b + 1. Let h(j) = q*o(j) + 11*d(j). Let h(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 40 = -u. Suppose 23*o - 3*n - 20 = 18*o, -5*n = -4*o + 16. Solve -i + 9 = o*h - 8, u = 5*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24541 and 20349824.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11697 + -7969. Suppose -j - z = -5*j. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 9, 55, 141, 279, 481, 759, 1125?\nAnswer: 1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 3*l - 3. Let v be y(-4). Suppose r + 3*r = 8. Let q(x) = 0 - x**2 - 2*x**3 - 2 + r. Determine q(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-15 - -6) - 6) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9590?\nAnswer: 2, 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**3 - 489*i**2 - 7128*i + 517104 = 0.\nAnswer: -36, 28, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 16596*v**2 + 49815*v.\nAnswer: -3*v*(v - 5535)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2. Let g = 4 + -3. Let x(l) = g + 2*l - 1 - 10*l. Give h(x(k)).\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.409263 take away -0.6?\nAnswer: 1.009263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -34. Let n = 21 + b. Calculate the remainder when 4 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -1\/4, 0.0427006, -4, -4\/3, -2\/9?\nAnswer: 0.0427006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 5*w**2 - 7*w + 9. Let c be n(6). Let q = 94 - 95. Let y(g) = -g**2 + g. Let r(i) = i**3 + 3*i. Give c*y(s) + q*r(s).\nAnswer: -s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*d + 45 = 6*p, 4*d + 18 = p. Suppose 10 = p*f - f. Solve -2*x + 6 = -2*a, 0 = f*x - x - 4*a + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54677*c - 607*c**2 - 26763*c - 26679*c wrt c.\nAnswer: -1214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -718\/23 + 10839\/874. Which is smaller: -18 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 89*b**3 + 2*b**2 + 2*b - 3. Let c(m) = -177*m**3 - 4*m**2 - 5*m + 7. Determine 3*c(u) + 7*l(u).\nAnswer: 92*u**3 + 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -725, -1406, -2087, -2768, -3449?\nAnswer: -4130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 7. Let l be g(-9). Suppose -l*s - 40 = -304. Calculate the smallest common multiple of 9 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and -26.9?\nAnswer: 45.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/203 + (0 - (-3696)\/(-232))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13598312?\nAnswer: 2, 7, 13, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**5\/8 + 9*c**4 + 21*c**3\/2 - 105*c**2\/4 - 369*c\/8 - 75\/4 = 0.\nAnswer: -1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.8 + -13. Which is the third smallest value? (a) 2 (b) 4 (c) 1\/7 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -139575915*c - 12 + 139575915*c + 896*c**2 as j*c + w*c**2 + f and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72351*c**4*z + c**2*z**3 + 10*c*z**3 + 30*z**3 + 27 wrt c?\nAnswer: 868212*c**2*z + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 + 0 + 0)*(2*f - f - 9*f) + (-6 + 0 + 2)*(-2296*f**2 + 2296*f**2 - 78*f**3) to the form y + d*f + p*f**3 + i*f**2 and give p.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 87 = -2*o - o, 114 = 4*k - 3*o. Let p = 30 - k. Solve -v = c, -3*c + c - p = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500957?\nAnswer: 500957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718128733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*t - 188*t - 8 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/896 and 75\/1658608.\nAnswer: 13268864","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 691408?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.779 rounded to 0 dps?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(462) - (sqrt(462)*1*2 - sqrt(462) - sqrt(462)))\/sqrt(11))\/(sqrt(96)*1*-1).\nAnswer: -sqrt(7)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*m + 36, 0 = -5748*o + 5746*o - 2*m - 44 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-5)*(1 + 0). Find the common denominator of -73\/16 and (1 - 299\/w)\/(-15).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2444844287 to the nearest integer?\nAnswer: 49445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -1, -133, -6 in descending order.\nAnswer: 2, -1, -5, -6, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/60 - 7*o**4\/24 + 10*o**2. Let j be a(9). Suppose 2*z - 4*m = j, -4*m + 65 = 4*z - 7. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -5*q - 4*m, 9*q + m = 13*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (-1*sqrt(2299) - sqrt(2299)) - sqrt(2299) - sqrt(2299))**2 - sqrt(2299))*1 - -1*6*sqrt(1900)*-2.\nAnswer: -131*sqrt(19) + 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156131527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:06 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + 9*w - 8. Let c(m) = -m**2 - 8*m + 7. Calculate -7*c(t) - 6*z(t).\nAnswer: -5*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*g + 67*g - 36*g + 1451 - 1448 - 74*g + 2*g**3.\nAnswer: 2*g**3 - 144*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(312))\/sqrt(6) - (3*sqrt(1300)*4)**2.\nAnswer: -187200 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3 - 1. Suppose 4*g - 4 = -4*t, 2*g + t = -3*t + 4. Let r(y) = y**3 + y**2 - y + 3. Let q be r(g). Solve 0 = -5*i + q*i - d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x - 15. Let w be k(-6). Suppose -m + 4*j - 6*j = 0, -m - 5*j = -w. Let p(n) = n**2 + 4*n + 1. Calculate p(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2510, -2499, -2488, -2477?\n\"Answer: 11*n - 2521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2869)\/(-3171) - ((-38)\/(-6) + -3 + -4)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2184658724.\nAnswer: 2, 1889, 289129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -10 - 9 - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497*f + 493*f - y = -2918, -2186 = -3*f - 2*y. Calculate the least common multiple of 45 and f.\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 230 - 74 - 4*b)*(2 + 1 - 1) to the form o + t*b and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -61. Let h = -805 - -859. Let y = h - t. Solve -4 + y = -4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/3085 and 49\/91160?\nAnswer: 56245720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-473)\/(-43))\/(-66))\/((-1)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 320*i**3 - 1781?\nAnswer: 960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*y**2 + 35510*y - 6456.\nAnswer: -(y - 3228)*(11*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3 + (sqrt(19) - 1*sqrt(19)))*2)**2 - (-2 + -1*sqrt(1216)*2)**2.\nAnswer: -4832 - 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 49*b**2 - 49*b + 52. Let k be h(-50). Find m, given that 1\/3*m + 2\/3*m**k - 1\/3*m**4 - 2\/3*m**3 - 1\/3 + 1\/3*m**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d - 4*d)*(-d - 5 + 5) + 2*d**2 + 2*d**2 + 0*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66564962267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 229.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 612 and 28203.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(5\/11)\/k**(10\/7))\/(k**(1\/12)\/k)**22)**(-28) assuming k is positive.\nAnswer: k**(-17734\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485 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: List the prime factors of 212780637.\nAnswer: 3, 53, 446081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbqqbbbbqqqqbqbbqqb. Give prob of picking 2 q and 1 b.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -248 in 2\/257, 0.1, -1\/9, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.038 + -0.058. Let s = l + 0.02. Which is the third biggest value? (a) s (b) 38\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134448*a + 94880*a + 55617*a.\nAnswer: 284945*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**5\/20 + h**4\/3 - h**2 + 179*h. Let w(a) = -a**3 - 3*a**2 + 2. Calculate -3*c(s) - 4*w(s).\nAnswer: s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2009345 less than 0.4?\nAnswer: 2009345.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -91. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1297*l**3 + 4865*l**3 + 125*l**3.\nAnswer: 6287*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 + 182246.708038.\nAnswer: 182234.708038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 260\/15*(53\/2 + -1). Let z = -10 + u. Suppose -11*q = -23*q + z. What is the remainder when 176 is divided by q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67280 is divided by 3363.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 28 - 109 = -2*t, -5*r = 5. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5277107*i**3 + 674*i**2 + 8*i + 106?\nAnswer: 31662642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 58 = -4*l. What is the remainder when l is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 2)*(-212 + 213). Solve v = -67*k + 225 + 110 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.4719 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2 and -113\/806.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1569232?\nAnswer: 2, 7, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by -5.\nAnswer: -112\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 234720528 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-23559)\/9)\/(-22 + (-21043)\/(-957)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2\/493, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8100818?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 18 = 3*i, -17*f = -21*f + i + 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 697 - -1451. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 8*y**2 - 5*y + 17. Let z be f(-7). Let o be (-1 - (z - 11)) + -3 + 8. Solve 7*v = 4*v - o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/15 + -4)*1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 273 - 275. Let a = 14 + -17. Put 0.1, a, 1, w in ascending order.\nAnswer: a, w, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 229 = -124. Sort n, 0, -7, -4 in ascending order.\nAnswer: -7, -4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*i + 571946 = j - 265*i, -3*i = -5*j + 2859874. What is j rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18871, -43507, -68143, -92779?\nAnswer: -117415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (134 - 36 - 49)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 4802212?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65.246309 - -34194.\nAnswer: 34128.753691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-38)\/(-6) + ((-84)\/(-7) - 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 + 0.03. Let p = 0.0772 - d. What is p rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 69. What is the greatest common factor of 208 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c. Let r(d) = -4*d. Calculate 30*h(w) - 6*r(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 5\/2*s**6 + 0*s**4 + 0*s + 0*s**5 + 0*s**2 - 20 - 19\/3*s**3. What is the third derivative of f(b) wrt b?\nAnswer: 900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*m**2 + 25*m**2 - m - 4*m)*(4*m + 7 - 7)*(-64 - 7*m + 64) in the form n*m**4 + a*m + s + l*m**2 + r*m**3 and give r.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 = -2*n, 5*n + 4*d - 3*d + 29 = 0. Let p be (-4)\/(-6) - n\/15. What are the prime factors of ((0 - p) + 0)*-13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/71 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 2. Let t be i(2). Suppose t*f + 2 = -18. Let b = -8 + 6. Sort 5, f, b in decreasing order.\nAnswer: 5, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from {j: 9, a: 7}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, h: 4, c: 1, g: 2}. What is prob of sequence zc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4828650.\nAnswer: 2, 3, 5, 32191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.6108544 micrometers?\nAnswer: 0.0006108544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2220*m**2 + 4*m. Let z(l) = -2216*l**2 - 5*l. Calculate -5*w(f) - 4*z(f).\nAnswer: -2236*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 + -169. Sort s, 0, -4.\nAnswer: -4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227 or -52?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**3 + 12*y**2 - 25*y**2 + 4*y**3 - 2 + 9*y**2 + 2*y to k*y**3 + q*y**2 + i + j*y and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51414138 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1000*w - 2. Let i(k) = -k**2 + 274. What is i(a(x))?\nAnswer: -1000000*x**2 + 4000*x + 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/3 and -2 + (-52)\/2 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t - 11*t**2 + 2*t**3 - t**5 + 15*t**2 - 4*t**2.\nAnswer: -t*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.5208*51.65.\nAnswer: -130.19932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/7294 and -67\/131292.\nAnswer: 131292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2330 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 12 - 9)*(-z - 3*z**2 + z).\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7474?\nAnswer: 2, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13138426 to the power of 1\/2, to the nearest integer?\nAnswer: 3625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, y: 2, w: 1}. What is prob of sequence wny?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**8\/16 - p**4 - 19*p**2. Find the second derivative of a(h) wrt h.\nAnswer: 420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588450 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 3.88. Let b = i + -0.08. Let j = b - 4. What is the second biggest value in -2, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206849.4 - -3.51.\nAnswer: 206852.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2138 and 1?\nAnswer: 2137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 12*u**2 + 12*u - 1. Let a be o(11). List the prime factors of ((-6)\/4)\/((-1)\/a).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 2 + -1)*1. Let t = -613.651 - -614. Let j = t - -0.051. Sort b, 1\/2, j in ascending order.\nAnswer: b, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-10)*70\/(-4). Solve -h*q - 7 = -21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 3) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 7*t**5\/60 - 13*t**4\/24 - 16*t**3\/3 - 2*t**2 + 5*t. What is the hundreds digit of p(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + t + 0)*(-2*t + 4*t - 3*t) - t**2 - 4*t + 4*t - 2 + 2 - 2*t**2 + (-t - t + 3*t)*(6 + 3*t - 6) to q + v*t + a*t**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000515.\nAnswer: 3, 5, 66701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**4\/12 - 13*z**3\/6 + 7*z**2 + 2436*z. Suppose -2*f - 2*t + 16 = 0, -4 = -f + t - 3*t. Calculate y(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*m + 2236 - 2024. Solve m*t + 41 = 3*x + 9, 4*x - 2*t - 26 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 178*g = -5*c - 174, -5*c + 305*g = -304*g + 604*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - -12. Let v = 136 - d. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1106*(-72)\/((-4104)\/(-399)).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msa when three letters picked without replacement from swwasrwmrwr.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-42))\/(408\/4032*-7)?\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2 + 41*l - 124. Calculate p(-9).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/((-4)\/(-72)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y = -m + 44, -230 = -23*m - 46 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -5 (c) 12 (d) -18\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - l - 35, -135 = -65*w + 60*w + 4*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 209*t**4\/12 + 4*t**3\/3 - 7*t**2\/2 - 200*t. What is the units digit of y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-3)\/48)\/(22\/(-286)*104\/1392).\nAnswer: -87\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 2*v**2 + 2*v**2 + 3*v**2 - v**2. Let r(w) = 1094*w**2. Calculate p(r(n)).\nAnswer: 1196836*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 + 3.03. Let g = 1469.1 - 1469. Which is the closest to g? (a) -1\/5 (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v + p + 4 = 0, 5*p + 20 = 0. Let m = 4 - v. Solve -4*f + 2*g = m, -8 = -4*f + 3*g - 4*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 460 and 59150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-572 + 664)*-5*1\/(-20)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 10 + 153)*(-178 - 39*u + 178) + 3 - 1 - 3 + u as i*u + v and give i.\nAnswer: -7097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - 2*c**3 - c**3)*(-24*c**2 - 1382*c**2 + 5208*c**2).\nAnswer: -3802*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4945604 to the nearest integer?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*g + 467*g + 10 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 3:47 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.32988 times 1\nAnswer: 1.32988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxmi when four letters picked without replacement from ixvsxsvvsxvmvv.\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-150) - (-693)\/90\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**6\/150 - r**5\/50 - 19*r**4\/60 - 14*r**3\/15 - 6*r**2\/5 - 4*r + 10. Factor o(l).\nAnswer: (l - 6)*(l + 1)**2*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -245 - -250. Let a = -3.7 - -4. What is the fourth biggest value in f, 2\/15, a, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3027 by -14.\nAnswer: 3027\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1513*k + 1281?\nAnswer: -1513","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(1\/16))\/u**(2\/45))\/(u**27*u*(u\/(u\/((u**(4\/37)\/u)\/u)))\/u) assuming u is positive.\nAnswer: u**(-615119\/26640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x - 2343 = -4*g + 28*x, 3*g + 5*x - 1770 = 0. What is the highest common factor of g and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, t: 1, f: 3, d: 3, v: 1}. What is prob of sequence fyt?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 62. Let q(d) = -d**2 + 3*d - 3. Let h(g) = -g**2 - g + 1. Determine f*q(z) + 3*h(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u + 86. Let h be w(-12). Suppose h*l - 15 = 55*l. Sort -21, 2, l, 5 in decreasing order.\nAnswer: 5, 2, l, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 5191283 = -18*v - 62*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*n - t - 16, -6 = 3*n + 4*t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (9 - -16))\/1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and -0.562.\nAnswer: -0.07868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-682)\/(-19) - 116\/(-1102). Suppose -21*o + v*o = 45. Sort 4, 5, o, 199 in decreasing order.\nAnswer: 199, 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363.63398 rounded to zero dps?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -480\/61 equal to -1\/76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21271 and 11?\nAnswer: 233981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6\/2*4\/(-12))\/(21*(-25)\/13125)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -9*s + 156. Calculate the greatest common factor of 12 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35)\/17 - -2 - (-4069492)\/3434. Is p less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/320*0*(-3)\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352642.\nAnswer: 2, 176321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.99 (c) -3 (d) -12 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24434 or -24436?\nAnswer: -24436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -29*q**7\/35 - q**5\/60 - q**4\/2 + 99*q**2. What is the third derivative of g(i) wrt i?\nAnswer: -4176*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - o**2 + o**2)*(4 - 4 + o) + 91*o**2 + 26*o**4 - 91*o**2.\nAnswer: 24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -1, -23 in descending order.\nAnswer: 7, 1, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 8) in base 14?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376908445 is divided by 2449.\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2568 + 2568. Solve -3*v + 2*k + 10 = 0, -14 = -4*v + 2*k - z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -n + 42. Suppose 4*a + 35 = -a. Let k = n + a. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(77)\/sqrt(99)) + (sqrt(204)\/(sqrt(24)\/sqrt(2)) - (sqrt(68)*-2 + sqrt(68))))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -9 + 14. Calculate the remainder when -1 + w - (0 + -5) is divided by (-3 + 1)\/((-2)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5539.3158 and 0.03.\nAnswer: 166.179474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -30300032 (base 4) in base 15?\nAnswer: -10728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*-1.319\nAnswer: 3.957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2856 and 168.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*m + 178 = i, 2*m = -4*i + 356. Suppose 807 = 8*f - i. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*f = 50, -s + 4*f + 40 = 2*f. What is the remainder when 259 is divided by s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1363, 1407, 1451, 1495?\nAnswer: 1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.5 - -24.5. Sort i, -0.07, 1\/11 in increasing order.\nAnswer: -0.07, 1\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26973, 26991, 27021, 27063?\nAnswer: 27117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 50. Suppose -r = -3, -5*j + 0*j + r + 22 = s. Suppose -3*y + 4*y = j*z - 600, -z - 2*y + 131 = 0. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*v = 44*v - 15. Let z be 0 - -6 - v\/(-1)*1. Suppose n - 15 = -2*n. Solve -n = 4*b - 3*a + 4*a, 2*a = 3*b + z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**2*v**2 + u**2*v + 88432*u**2 + 487*u*v - 63*v wrt v.\nAnswer: 2*u**2*v + u**2 + 487*u - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dooz when four letters picked without replacement from yogyyogoyoooyddoygyz?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-168) + ((-1215)\/126 - -10). Is t at least -0.0663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 4*j - 20, 4*j = -k + 22 - 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 5*h**4\/12 + 125*h**3\/6 - 135*h**2 + 90*h. Find q such that r(q) = 0.\nAnswer: -27, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 8*u**2 + 6*u - 1. Let q be b(-5). What is the highest common factor of q and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(33\/11)*-8. Solve 22*z - j = -96 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 358050 and 99.\nAnswer: 1074150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918 a factor of 100724555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0024 and 796?\nAnswer: -1.9104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrnn when four letters picked without replacement from {r: 1, n: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73498 + 108861. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002269 + -1239?\nAnswer: -1239.002269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214723061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -14 + 15 + 1 + 3. Suppose 0*a + j = 5*a - 31, 0 = -x*a + 5*j + 15. Solve 2*k - 9 = -a*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 37*x - 257 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -624, -940, -1260, -1584, -1912, -2244?\nAnswer: -2580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 8\/9746707 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000147612 rounded to six dps?\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g. Let v(o) be the second derivative of -o**3\/3 - 3*o**2\/2 + 2*o. Let h(q) = -3*q - 4. Let z(k) = -3*h(k) + 4*v(k). Determine z(l(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, n: 1, b: 1, j: 1, i: 1}. Give prob of picking 1 i, 1 j, 1 b, and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22122011 - 11?\nAnswer: -22122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -86. What is the highest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1904, -2158, -2464, -2822, -3232, -3694, -4208?\nAnswer: -4774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from hhhzuhhhuzh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89808?\nAnswer: 2, 3, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121335 is divided by 321.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 45. Is 718\/8 + (21\/(-12))\/b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 27*s. Let v(i) = 216*i**2 - 30005*i + 30005*i. Calculate p(v(j)).\nAnswer: 46656*j**4 + 5832*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 91879272159.\nAnswer: -91879272158.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3155 divided by 5?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6726469 to the power of 1\/2, to the nearest integer?\nAnswer: 2594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 858 + -67. Let v be (40\/(-15) - -3)*(x + -2). Are v and 263 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.93 + 1.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2644 + -0.80611081353.\nAnswer: -2644.80611081353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/7*p**2 + 26\/7 + 1\/7*p - 1\/7*p**3.\nAnswer: -(p - 1)*(p + 1)*(p + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 7\/6*u**3 + 0*u**5 + 0*u**4 + 9*u**2 - 1\/40*u**6 + 0*u + 0. Differentiate b(r) with respect to r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j + 5*h + 1440004 = 0, -j + 2*h = -1440007. Let f be j\/36 + (-1)\/4. What is f rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -0.099778 (c) 2\/3 (d) -5\/2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -16, 3, -1\/2 in ascending order.\nAnswer: -16, -11, -1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3570 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7821*p**2 + 553*p + 553. Let v(w) = -85*w**2 - 6*w - 6. What is -6*l(i) - 553*v(i)?\nAnswer: 79*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -12. Solve -8*l + t = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/10)\/((-24)\/80). Solve z = f + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*h + 28. Let p = 25 + h. Let d = -833 - -852. What is the remainder when d is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*6\/6*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.5 (b) 3 (c) 0.4 (d) 3\/34 (e) -0.1 (f) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 24 = 21. Suppose 8 = -4*u, -3*q + f*u + 91 = 351. Let b = q - -117. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 12. Let n be i(-17). Suppose -z + 268 = -v, 4*z + n*v = 8*v + 1071. What is z rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.04 + -1772.364.\nAnswer: -1773.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.02 and -32540861537.099?\nAnswer: 32540861537.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhddhdhdhh. Give prob of picking 1 h and 3 d.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, h: 8, u: 8, a: 1}. Give prob of sequence iahh.\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i - 2 + 2)*(i**2 - i**2 + 2*i**2) + 830*i - 772*i**3 + 197*i + 770*i**3)*(2 - i - 2)*(4*i - i + i).\nAnswer: 16*i**5 - 4108*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 625265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 915986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -11. Sort 3, -4, m, -16 in decreasing order.\nAnswer: 3, m, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + z - 37 = 5*t, -11*t - 2*z + 114 - 101 = z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 99*i**2 + 8236*i + 815367. What is c(-99)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-370)\/(-444))\/((1\/(-9))\/(10\/(-15))). Let b(q) = -q. Let r(u) = 2*u. Let d(o) = -o**2 + 6*o - 6. Let m be d(4). What is c*b(k) + m*r(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3850\/(-4))\/(-5)*(-8 - 2). Find the common denominator of 80\/33 and (4\/14)\/(33\/p).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101.78 - 102. Let i = -2.78 + l. What is the nearest to -0.3 in 1\/11, -2\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1420*a - 2009*a + 4788*a**5 + 11362*a**2 + 11359*a**2 - 22721*a**2 wrt a?\nAnswer: 95760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 + -126. Calculate the smallest common multiple of 22 - (1 + -2 - -1) and -2 + t\/((-2)\/1).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-4839\nAnswer: 967.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3828.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 - 224?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -87, -44, 131, 486?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -559\/2 + 2239\/8. What is the closest to 4.3 in n, -10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 98. Let f(j) = 5*j - 32890. What is f(l(m))?\nAnswer: 10*m - 33380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 30 = -19*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 11 = 15. Suppose 2*a + 2 = b. Solve 5*v = -25, -3*j + a - 7 = 2*v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c. Suppose -5*h = -o - 28, -3*h + 162 = -5*o - c*o. Let m = o - -80. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*r, 0 = -3*s + 2*s + r + 21. Let n = s - 15. Let k(d) = 4*d**2 - 4*d + 2. Let h be k(4). What is the highest common divisor of h and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 43082767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3404 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -818 (base 9) to base 5\nAnswer: -10130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - s + 1. Let n(v) = -6*v**3 - 4*v + 5. Let z(j) = -j**3 - 4*j**2 + 4*j - 4. Let i be z(-5). Let u(g) = i*n(g) - 5*x(g). What is a in u(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*k - 16 = 34, -3*m - 75 = 5*k. Is m\/(-4) + (-2)\/8 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) 1263 (c) -5 (d) -5\/3 (e) 90 (f) 0.04 (g) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2. Let l(q) = 10*q + 7. Let m(t) = -3*t - 2. Let b(o) = 2*l(o) + 7*m(o). What is b(v(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1511*c - 846*c - 1254*c)*(1 + 1 + 0)*(2 + 1 - 2).\nAnswer: -1178*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 8 + 14 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 10 - 11 - 26 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + x = 6 - 2, -12 = a - 3*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 13*t**2 - 1325*t + 17896. What is g(36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0)\/10 + 24\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -2*r**2 + 46*r + 2250. Calculate z(-5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a + 556*a + 9271 - 29127 = 0 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(28)\/sqrt(4))**2*1 + (3 + sqrt(847))**2 - (-2 + (-3*sqrt(77)*3)\/sqrt(11))).\nAnswer: 75*sqrt(7) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 461\/4 + -115. Let q(n) be the first derivative of -n**2 - 1 - l*n**4 - n**3 + 0*n. Factor q(h).\nAnswer: -h*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 - 10. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 20*o - 8. Let j(t) = 981*t - 396. Let f(i) = -2*j(i) + 99*y(i). Let h(p) be the second derivative of p**3\/3 + 2*p. Calculate f(h(s)).\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(170)\/sqrt(5))\/sqrt(2) - sqrt(17)) + 5)**2 + -5)*1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x)**(-1\/3)*x**(1\/7)\/(x\/x**(1\/4)*x)*(((x\/(((x*x**(-5\/7))\/x)\/x*x))\/x)\/(x**10\/x))**(-11) assuming x is positive.\nAnswer: x**(7549\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -99.925676053529 and 0.2?\nAnswer: 100.125676053529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z + 2. Let a = 265 + -261. Calculate the least common multiple of h(-3) and a.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55\/408 - -1\/102. Let p = 1 - 0.9. Let y = 15661\/3 - 5221. Which is the nearest to y? (a) -0.1 (b) p (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -107490.\nAnswer: -42996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*a = -62, -2*a + 3*a = 2*f - 38. Find the first derivative of -f + 1 + 1 - 12*o + 5 wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 197012262\/19 or 10369065?\nAnswer: 197012262\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3993)\/1452)\/((-6)\/16*2\/6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/6650 and 52\/15.\nAnswer: 19950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9090457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 177*x**2 + 235*x - 119. What is the first derivative of s(r) wrt r?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8207*s**4 - 6075.\nAnswer: 32828*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12224 - -43003?\nAnswer: 30224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*q + 5, q + q = 4*c - 20. Suppose -c*y - 33 = 2. Let o = y - -110. What is the remainder when o is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -29*j**7\/210 + 3*j**3 - 9*j**2. Differentiate s(i) wrt i.\nAnswer: -116*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10821, -10742, -10677, -10632, -10613, -10626, -10677?\nAnswer: -10772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1848 and 1452?\nAnswer: 20328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1023581978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 259 - 256. Suppose 4*j - 3*h = 18, 3*j - 1 + 2 = -5*h. Suppose -8 = -v - 3*k, k - 3 = -1. Solve 12 = -4*p + 4*r, s*r + j = -4*p - v*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**1*h)**(6\/7)\/(h\/(h*h**(1\/8)*h)*(h\/((h\/((h\/(h*h**(1\/9)))\/h))\/h))\/h))\/(h**4\/h**3*h\/((h\/(h**(2\/29)\/h))\/h)*h**7) assuming h is positive.\nAnswer: h**(-72725\/14616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.09 + 0.09. Let t = -9.3 - -9. Which is the closest to 0.1? (a) 5 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*(v\/(v*(v*v**(1\/4))\/v*v))\/v)**39*v**(-2\/7)*v**(-6\/5)*v)**(-6\/7) assuming v is positive.\nAnswer: v**(4299\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 2*x - 4, x = 5*s + 11. Let r = s - -5. Solve 3 + 2 = -f - 3*m, -5*f = m - r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**3\/3 - 11*y**2\/2 + 2*y. Let q be x(-8). Find o such that 0*o**3 + 0 - 30\/7*o**q - 38\/7*o**4 + 8\/7*o**2 + 0*o = 0.\nAnswer: -1, -2\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyd. Give prob of picking 1 y and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, m: 5, l: 3, s: 2}. What is prob of sequence kkl?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9241881 + -2376414.\nAnswer: -11618295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33830 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -14413833.98 to the nearest 1000.\nAnswer: -14414000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b**19*b)))\/b*b)\/(b*b*b**(-21)\/b*b*b) assuming b is positive.\nAnswer: b**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -4) + -4 - (3 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3711 = -c + 4*t, -5*c = -3*t - 6214. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1873*u**2. Let c(a) = -3*a. Give c(f(i)).\nAnswer: 5619*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1092541 - 3?\nAnswer: -1092544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {i: 3, j: 1, x: 4, r: 1, n: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113948?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c - 22. Let r(s) = 4*s + 15. Let o(v) = 5*k(v) + 7*r(v). Let x(w) = 11*w. Determine x(o(i)).\nAnswer: 33*i - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 359175 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -6*h + 20. Suppose h*a - 4*a = -10. Suppose 2*j - 407 = -f + 4*f, -15 = a*f. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*1)\/(-2 - -3). Let x be m\/16*6\/(-2). Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxx. What is prob of sequence xx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/2847169 and -75\/23054.\nAnswer: 5694338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50, -72, -94?\n\"Answer: -22*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 747 = -824 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 177?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 15*q - 2*q - 12*q + 18, 0 = -9*q + 13*x + 15 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2296450679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*z, -4*z = -r - 0*r - 140. Let q be (-6)\/10 - r\/(-25). What is the biggest value in 1, 2\/5, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, w: 3}. What is prob of picking 1 w and 1 u?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24753 (base 11) to base 15.\nAnswer: -a7c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 + -1)*(-2)\/4. Suppose -2*t + 144 = 4*m, -2*t + 0*t + c*m = -180. Calculate the highest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 5*w**2 + 3*w + 3. Let c be x(-3). Suppose -2*m = 4*t + t + c, 3*t + m = -7. Let n = 3 - t. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*y - 0*o - 2*o, 29 = y + 4*o. What is the remainder when 84 is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193251 to the power of 1\/2, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 - 48*q - 193. What is y(-3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5644, -1438, 2768?\nAnswer: 6974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 400.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4811635 meters in centimeters?\nAnswer: 48.11635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 0*z**2 + z**2)*(-6*z**2 + 2*z**2 - z**2) - 11*z**4 + 5*z**4 + 0*z**4 + 5*z**2 - z + 3*z**2 + 2*z**4 - 11*z**2.\nAnswer: z**4 - 3*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -17*r**7\/42 - 7*r**3\/2 - 5*r. Find the second derivative of c(g) wrt g.\nAnswer: -340*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w - 7. Let r(i) = -4*i - 6. Give -6*h(n) + 7*r(n).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -31. Suppose -v*z + 12 = 0, -2*d = 5*z - 2 - 61. Find t such that 14*t**4 - 22*t**2 + 10 - 24*t**3 + d*t - 17 + 15 = 0.\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -115010 and 4087?\nAnswer: -470045870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1174886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n + 2*n + n - 38. Let d be y(-14). Solve o + 5 = d*w, -4*w + 7*o - 3*o + 20 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -4, -9, -16?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5645749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7410 by 247.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -218418*v**3*y**2 - 17*v**3*y + v - 176*y wrt y?\nAnswer: -436836*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d5 (base 15) in base 7?\nAnswer: -1145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.248 litres to millilitres.\nAnswer: 73248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*(z*z\/z**(3\/5)*z*z*z*z)\/z)))**10 assuming z is positive.\nAnswer: z**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52020.5 - 51998.0699049. Let z = b + -22.43. What is z rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26 or 5780?\nAnswer: 5780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1762 is divided by 58?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5992\/157 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54822 - 4*g**3 + 2*g - g**4 - 6*g**3 - 54800 to y*g**3 + t*g**2 + b*g**4 + f + u*g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {i: 1, m: 2, b: 1, p: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-404)\/(-606) - (-39)\/(-45)).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 990*k**4 - 7*k**2 - 91*k wrt k?\nAnswer: 23760*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wllw when four letters picked without replacement from wtlwtlwtwwtwtllw?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14966 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/7, 0.3.\nAnswer: 1\/7, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3956715 and 21.\nAnswer: 3956715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 - ((7 - -16) + -35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9683\/6 or -3?\nAnswer: -9683\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5\/7 - 514*k**4\/7 + 24552*k**3\/7 - 2848*k**2 - 198592*k\/7 + 288672\/7 = 0.\nAnswer: -3, 2, 62, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + t - 1 + 3)*(-t - 6*t - 4*t).\nAnswer: -11*t**2 + 22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwb when three letters picked without replacement from wlebwb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.50036914 or -6?\nAnswer: -0.50036914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 greater than -755445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -438.3*-2\nAnswer: 876.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s + 6. Suppose 0 = -4*h + 2*u + 18, -6*h - 4*u + 34 = -4*h. Suppose -3*x = k - 29 + h, 0 = -5*x - 5*k + 50. Determine d(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-6)\/270*(-118440)\/336\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 + 59. What is the remainder when (-178)\/r + (-4)\/12 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1\/3 (c) 1\/3 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*v**2 + 34*v**2 + 26*v**2 + 4 + 34*v**2 - 4.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5573 + -5501. Calculate the greatest common divisor of n and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**4\/3 - 487*r**3\/6 - 1175*r**2\/3 - 646*r - 348 = 0. What is r?\nAnswer: -87\/2, -2, -6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42306, 84746, 127188, 169632?\nAnswer: 212078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.03 times -2285?\nAnswer: -2353.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - (-2110)\/(-75)) + 4\/30. Let h be (-2 - 20\/(-6))\/((-11)\/z). Suppose 4*s = 5*w + 71, 0 = 3*s - 3*w + h*w - 39. Put s, 5, 3 in increasing order.\nAnswer: 3, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*y = -185*y - 640 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 2*j**3\/27 + 1474*j**2\/9 + 1086338*j\/9 - 2326. Determine r so that f(r) = 0.\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 8 + (4 - 3 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*(-20)\/2. Suppose d = n + 3. Let u = d - 7. Solve 2*h = h + u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 1, n: 2, d: 1}. What is prob of picking 1 h and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 5508 = 5463 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 290224941536 + 0.1.\nAnswer: 290224941536.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 2*k**2 + 2*k**2)*(-9*k**2 + 3118*k**3 + k - 20*k**2 - 3114*k**3).\nAnswer: 8*k**5 - 58*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -155*r + 816*r + 4435 + 4819 = 0 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1163, 1117, 1071, 1025, 979?\nAnswer: 933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*16.5\nAnswer: -49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5814 divide 489803718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 5*q**2 + 4*q - 2. Let r be c(-2). Suppose 3*f - r = -17. What is the hundreds digit of 194 + -1 - (4 + -8 - f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 x when three letters picked without replacement from hrhriiudxddr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-2) + (-3)\/6. Suppose -4 - m = -k. What is the common denominator of k\/(-5 + -1 + 2) and 7\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 900\/54*3\/2. Suppose -b + h = 4, -8*b + w = -3*b + 4*h. What is the units digit of 4 + 9\/b + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 - 43657360*k\/3 - 476491270542400\/3.\nAnswer: -(k + 21828680)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 34\/8 + ((-204)\/(-16))\/17. Solve -7*p = -11*p - 16, -g*k + 3*p + 32 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 1:16 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z**4 - 17*z**3 - 1011*z**2 + 386444*z wrt z?\nAnswer: -12*z**2 - 102*z - 2022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*q + 128*q + 100 = 0. Suppose -8*n - q*n + 14170 = 0. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 + 2585308*x\/3 - 835477181858.\nAnswer: -2*(x - 1938981)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u + 104 = 17*u. Suppose -4*c + 18 = -2. Let i be 3\/(-5) + 328\/c. What is the highest common divisor of i and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + n. Let l(y) be the third derivative of y**5\/20 + y**4\/6 + 7*y**2 + 2*y. Give -4*h(r) + l(r).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -501\/7 - -70. Is -2 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - c**3 + 0*c**3)*(3 + 0 - 6) - 58*c**3 - 624*c + 624*c.\nAnswer: -61*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6823*s + 218*s - 40602 = 51868 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7 = -80. Suppose -3*g + h = 2*d, 0*d = d - 4. Calculate the least common multiple of 23 and g.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -114?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {s: 1, m: 2, y: 1, q: 1, v: 2, p: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 161109549 a multiple of 468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s - 6. Let f(z) = -7*z + 4. Suppose 15*t - 16*t + 5*r = -3, 3*t - 3*r + 15 = 0. Calculate t*f(b) - 5*g(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18816)\/9408)\/(4\/102)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 14 = -l, -5*i + 2*l = 2 + 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/252 and 13\/4?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2. Let h(v) = 1 - 4 + 3 - 2*v**2. Give r(h(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 1:36 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7 = i, b + 2*i + 4 = -0*b. Let k be 6\/b - (-14 + 3). Calculate the highest common factor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y**3 - 23*y**3 + 3 + 3 - 6.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 6:51 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9000665915 - -0.4.\nAnswer: -9000665914.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 + 97. Suppose -564 = -f*t + 564. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -420032 - -103?\nAnswer: -416626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.14761 weeks in milliseconds?\nAnswer: 51497274528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-301)\/86 + 5\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -323.17997 take away -1027.74?\nAnswer: 704.56003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 1. Let h(a) = -3*a**3. Let m(n) = -2*g(n) - h(n). Let f be m(0). Is 111\/3*(-1 + f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 677520?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6866)\/10 - (59 + -10)\/(-7). Which is greater: n or -680?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 1.2. Let v = -8 + 3. Let w = v + 4.5. Put i, w, -0.3 in descending order.\nAnswer: i, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -1557a3?\nAnswer: 15579d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0375 + 0.8565. Let w = 2.1 - 3. Let h = b + w. Round h to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13881 or -13882?\nAnswer: -13882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1317554.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 16*w + 28. What is the hundreds digit of r(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*g + 25*g + 4360 = 0. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + sqrt(50) + sqrt(50) + sqrt(450)*1)\/(sqrt(100)\/(sqrt(50)\/sqrt(5))) + 0 + 3)**2*5.\nAnswer: 180*sqrt(5) + 945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7000 + 32210 = 75*p - 65*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = o + 7, 15*o + 3*a + 5 = 11*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 3*o + 4. Give f(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406417880 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8718?\nAnswer: 2, 3, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/4)\/((-39)\/(-2) - 19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 20977, 32, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96167, 384629, 865387, 1538441, 2403791, 3461437, 4711379?\nAnswer: 6153617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-255)\/(-30))\/(2\/(-4)). Let v = a - -12. Let b be v\/35 - 58\/(-14). What is the third biggest value in 1\/4, b, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -453845651\/8410 + 53965. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-264))\/((-125)\/1500)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-469)\/14 - 1\/(-2). Let m = -21 - h. Suppose -6 = g - m. Solve 8*d - 4*d - 16 = 2*c, -3*c - g = 3*d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -161 from 0.1.\nAnswer: 161.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 5. Let t be -18*1\/(-2) - 1. Calculate the greatest common divisor of l and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000073603012 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -304 + 301. What is the second smallest value in 0.2, m, 2, 74?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(3*v**3 + 0*v**3 - v**3) - 2354*v**3 + 649*v**3 + 156*v**3.\nAnswer: -1553*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4, -3 = -5*j + 3*r. Suppose j*s - 5*s + 8 = 0. Suppose 0 = -s*w - 16, -4*x - w = -4*w - 24. Solve x = 4*c - 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20\/39 - 2\/13. What is the smallest value in 1, -2\/9, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/10)\/(28\/(-70)). Let q be 18\/15*5 - x - -179. What is the highest common factor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005767388 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from leeeelbaebqeeeleeeeq. Give prob of picking 1 e, 1 a, and 1 q.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 29*p = -40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3270646 is divided by 452.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -4676821\nAnswer: 6\/4676821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 9 = -2*m + 24, -2*p + 2*m + 6 = 0. Factor v**3 + 3*v + 13519 - 4*v**3 + p*v**2 - 13522.\nAnswer: -3*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 4308*m**2 - 21456*m - 17152.\nAnswer: -4*(m + 1)*(m + 4)*(m + 1072)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 52\/5 and 0.306813 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 10582\/3 and 3528 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 1, 0, 2, -30, -3 in decreasing order.\nAnswer: 2, 1, 0, -3, -28, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 7. Let g(m) = -3*m - 7. Let t(p) = -4*b(p) - 3*g(p). Let y be t(-8). What are the prime factors of (-5 - y) + 2\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-1104)\/(-230) - 9\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 2 - 9 - 4*z**3 + 212*z**4 - 213*z**4 - z**2 to b*z**2 + x*z + u*z**4 + o + k*z**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from xppphxpzphppyhpphhfp?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Let d = h - 0. Let z be ((-2)\/(-7))\/(1\/d). Which is the second smallest value? (a) z (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*y - 658 = -4*y, 5*y = -2*p + 277. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**2 - 4*j**2 - 8*j + 22*j + 0 - 16*j - 2 + 21*j**4 as o + t*j + f*j**2 + r*j**3 + n*j**4 and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -44322, -88644, -132966?\n\"Answer: -44322*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*a = -26*a - 8. Suppose 2*z = -2*z. Let u = a + z. Solve -u - 15 = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107638 is divided by 3858.\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v + 5 = 0. Suppose 2*f = v*f. Suppose 4*q = -2*o + 4*o + 6, -q - 3*o + 5 = f. Solve 7*j - 6*j = -q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 924dc?\nAnswer: 92502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-52210)\/20)\/((-4)\/8) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1588 - 9488. What is d rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15027\/(-535920) - (-1 - (-18)\/14). Let q = -2\/50463 + -97736\/80488485. Let w = a - q. What is the common denominator of 9\/4 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 7 = 5*y, 0 = -l - 2*y - 10 + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 43?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -422\/7 - -60. Let j = -190.8 + 195.8. Which is the closest to 15? (a) j (b) w (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 + 17. Let w = -28 - x. Let l = w - 8. Solve -25 = l*q, 2*q - q - 15 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:29 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**2 - 14*a - 95. Let u(z) = -6*z**2 + 14*z + 94. Let r(b) = -5*n(b) - 6*u(b). Calculate the remainder when 21 is divided by r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**3\/3 - 172*i**2\/3 + 2204*i\/3 - 7220\/3 = 0 for i.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -575 - -569 - ((1 - 2) + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w + 3*v + 21, -5*w + 36 = -3*v. Suppose 2*q = 2*d - 8, 3*d - 2*d = 3*q + 12. Solve 2\/9*j**5 - 4\/9*j**2 - 2\/9*j + 0 + d*j**w + 4\/9*j**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 19. Suppose 11*z = 9*z + x. Suppose z*p + 41 = 3*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-58.748132\nAnswer: 23.4992528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*v - 0*v - 12, -11 = 3*s - 2*v. Let y = 8 + s. Suppose 0 = y*w - 5*f - 65, -5*f - 68 = -5*w - f. What is the highest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4427820 (base 9) in base 10?\nAnswer: 2380851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bhghbhhbh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*m - 7*c + 5*c, -5*m + 4*c = -6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*y = -128, j + 5*y = 44 - 4. What is the lowest common multiple of 12 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -9\/4*p**4 - 114 + 4\/3*p**3 - 5*p + 0*p**2. What is the first derivative of q(x) wrt x?\nAnswer: -27*x**2 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-5\/7))**1*(g**(-1\/24)*g)**8 assuming g is positive.\nAnswer: g**(167\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = -12*z + 316. What are the prime factors of (z\/(-4))\/((-8)\/11584)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134582 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -3)*6 + (127 - 108). Let o be (-2)\/6 - 76\/(-3). Are o and s non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1310 + 1024?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 2071.\nAnswer: 16568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62295?\nAnswer: 3, 5, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2399103 by 3033.\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -421460 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1311032002?\nAnswer: 1311032011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8503, 17236, 25975, 34720, 43471, 52228, 60991?\nAnswer: 69760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/54)\/(9 + -7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -15*c**2 + 13*c + 3. Let m be p(3). Let x = m - 61. Is x equal to -153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.1 + -23.099533. Round t to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 14*t - 55. Calculate b(18).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/15)\/((-168)\/(-70)))\/(26\/156).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -532 divided by -266?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1\/12 (b) 3 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -b24 (base 13) to base 4\nAnswer: -131201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/((-84)\/(-45))*(-6)\/5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473509068?\nAnswer: 2, 3, 39459089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 7*j**3\/2 - 43*j**2\/3 + 71*j\/6 - 1 = 0.\nAnswer: 2\/21, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/30*-2)\/(27\/(2835\/1505)).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312686317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 7:37 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q + 1108. Let r be j(0). Let p = r - -943. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6390 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*-2 - sqrt(1088))**2*-5*-3.\nAnswer: 146880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2. Let z(k) = -15*k**2 - 4*k - 4. Let f(t) = 165*t**2 + 45*t + 45. Suppose 18*v - 23*v - 20 = 0. Let u(o) = v*f(o) - 45*z(o). Calculate g(u(h)).\nAnswer: 225*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10*i - 5. Let h(n) = 19*n + 11. Calculate -3*h(m) - 7*p(m).\nAnswer: 13*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2770 - 1305. Suppose s = -5*i + 293, -i - 4*i = 5*s - v. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/7, 15\/8, -0.1, -17062, -3?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 566226.2 litres in millilitres?\nAnswer: 566226200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x**2 + x)*(-2 - 1 + 0)*(6*x**3 + 2*x**3 - 3*x**3).\nAnswer: 30*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1, 60, 35, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 9*i**2 - 20*i + 12. Let x be g(6). Solve -4*y + x*m = 3*m - 31, 4*m - 28 = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 6) + 17 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 226\/24 - (0 + -1) and -47*2\/(-30)*3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 = -31*y + 350 + 761 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(9 - 279\/27). Which is the closest to l? (a) -0.05 (b) -1\/2 (c) 3 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - h + 4*g - 15 = 0, 3*g = -2*h + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1125\/(-135)*(-2)\/10*78\/10\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*16\/(-12) - -1. Suppose -10 = 2*z, -v + 64 = -j*z - 200. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -10, -22, -38, -58, -82, -110?\n\"Answer: -2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3715\/(-15*18\/(-54))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 + 10010011011010110?\nAnswer: 10010011011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1474, 1490, 1492, 1480?\n\"Answer: -7*z**2 + 37*z + 1444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61.999899 - 62. Round i to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 130 - 706 = 0. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -232 - -358. Let a = v - 120. Suppose -a*q - 216 = -7*q. Does 24 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*a - 511452, 383597 = 14*d - 11*d - 5*a. Suppose 0 = -29*y + d + 293192. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1039 - 1039. Let b be 3 - (4\/(-2) - -1). Suppose 3*n - 8 = 2*y + 2, 2*n + b*y = 28. Solve -n = -2*h - c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -16*r**2 + 44*r + 1034. Determine j(-7).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.825 + 3.8. Let g = x - 0.345. What is g rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1716, -1623, -1422, -1059, -480, 369, 1542, 3093?\n\"Answer: 9*u**3 + 30*u - 1755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 1585?\nAnswer: 6340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -229, 0.298, 2\/11 in descending order.\nAnswer: 2, 0.298, 2\/11, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 13. Give s(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53214 is divided by 429.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 + 0.13. Sort -1.2, i, -3.\nAnswer: -3, -1.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 818*0.1\nAnswer: 81.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 12*o**2 - o + 1. List the prime factors of t(3).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-252) + 2514\/(-189)*3. What is the common denominator of (-5)\/4*((-32)\/z + 11) and -85\/118?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**4 - 2349*d**3 + 1699*d - 292258304 wrt d?\nAnswer: 4*d**3 - 7047*d**2 + 1699","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 12 = -3*w. Suppose f - 45 = w*l - 14, -23 = -f + l. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 - 20*j + 18. Let u be l(5). Find the third derivative of u + 4*c**2 - 48 + 74*c**3 + 28 wrt c.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2188 divided by -2\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17 + -4 - 9\/(-3). Suppose -u + 10 = -n. What is the second derivative of u*s - 14*s**2 - 250 - 9*s + 250 wrt s?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(931) - sqrt(931)*-1 - (sqrt(19)*-1 + 2)))**2.\nAnswer: -30*sqrt(19) + 4276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7693.19 decades to millennia.\nAnswer: 76.9319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10259\/5 or -2053?\nAnswer: -10259\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 5. Let f(o) = -3*o - 9. Let c be f(-3). Let z be (c + 2)\/(-2) - 0\/(-4). Sort z, u, 0 in increasing order.\nAnswer: z, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/5)\/2 + (-6)\/(-6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 1\/315*m**7 - 1\/180*m**6 + 0*m**4 - 1\/90*m**5 + 0*m + 0 + 1\/504*m**8 + 0*m**3 + 3*m**2. Factor w(h).\nAnswer: 2*h**2*(h - 1)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n - 14 = -2*g, 2*g - 18 = -5*n. Let p be -2 + g\/((-22)\/40). Is p smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11522691 (b) 7 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/2)*j**(-1\/30))**41 assuming j is positive.\nAnswer: j**(902\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 1:09 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4670a2 (base 11) to base 5.\nAnswer: -142211404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -69140*i + 898786. Calculate q(13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*o**5 - 1836*h - 1602*o**4 + 2*o wrt o?\nAnswer: -40*h*o**3 - 19224*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 10:56 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -14715?\nAnswer: 7\/14715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1135\nAnswer: -2\/1135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 4. Let c be g(0). Suppose v + 3 = 2*v. Suppose m = -4*p + 9, 2*m = -v*m - 2*p - 9. Put c, 0, m in ascending order.\nAnswer: c, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -8. Let x(p) = 2*p**3 - 62*p**2 - 60*p - 75. Let t be x(32). Let j = -22 - -18. Put j, t, b, 0.5 in ascending order.\nAnswer: j, 0.5, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9 (b) -0.09 (c) -610 (d) 5 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -1, -4, -35, 7 in descending order.\nAnswer: 7, 4, 0, -1, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -1\/2*o**2 - 6*o + 0 - 1\/3*o**3. Calculate z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68663 and 7104601?\nAnswer: 4039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*i - 215 + 1158, -5*i = -5*z + 4715. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - w + 4. Let u be o(-3). Let t = -16 + u. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7031 is divided by 3513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -84014 less than -84013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 97595 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48324147?\nAnswer: 3, 137, 117577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.3 (b) -5 (c) 1\/5 (d) -118\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 96 = -4*r - 8, -103 = -5*r - 3*y. Suppose -3*f + 42 = -0*f + 3*i, -5*f - 4*i + 68 = 0. What is the remainder when r is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(-7 + 4 - 3)*(2 - 69*x + 22*x + 34*x).\nAnswer: -78*x + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 5) to base 11.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 8, 4*j + 2*f + 3390 = -7142. Is j*1\/(-5)*(2 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/9))\/(z**(2\/55)\/z))\/((z\/z**(-26\/5))\/(z*z**(4\/7))) assuming z is positive.\nAnswer: z**(-8464\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -531234 + 531237.012965. Let m = 0.888205 + c. Let j = -3.9 + m. What is j rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5956445*r**3*s**2 + 2*r**3*s - 11*r**2*s - 1688*r**2 + 49*r*s wrt s?\nAnswer: 11912890*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 32203616 (base 7) to base 13\nAnswer: 74c729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -274610 (base 8) to base 3.\nAnswer: -11220120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*n + 4 = -14, 5*k - 4*n - 42 = 0. Let j = 9 + 1. What is the highest common factor of j and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x**2 + 0*x + (-2*x - 2*x + 3*x)*(5*x - 5*x + x) + (-3*x - 2*x + 4*x)*(-2 - x + 2) + 0*x**2 - 2*x**2 + 4*x**2)*(2 + 1 - 1).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -292, 0, -52, 183 in descending order.\nAnswer: 183, 0, -52, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 65414441 - 71\nAnswer: 65414370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -388, -382, -376?\n\"Answer: 6*q - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(-1*56*17\/816)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, 213, -2\/71, -52 in decreasing order.\nAnswer: 213, 2, 0.3, -2\/71, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Let z be (-5)\/3 - s\/(-3). List the prime factors of z*4*6\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 8. Let x = -9 - -8.9. What is the nearest to -1 in 0.2, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 493*b + 1797*b**2 - 3590*b**2 + 1793*b**2 - 2342*b**5 + 545*b wrt b.\nAnswer: -46840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3 + 0 + w - 2 - 62*w**2 + 65*w**2 + w**3. Let z be y(-2). Suppose -z = 4*p + 9. Sort p, 1, -4.\nAnswer: -4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 11*j**5\/60 - j**4\/6 + 3*j**2. What is the second derivative of y(k) wrt k?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 20*m**2 + 41*m + 6. Let o be x(2). Solve o = 3*u + 3*w + 18, 3*w - 64 + 42 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -227107870 to the nearest one hundred thousand.\nAnswer: -227100000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.9639 + -0.0361. Let w = -2.72 - z. Round w to 0 dps.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -9*i**2 + 22*i + 5. Let v(r) = r**2 + 2. Let q(m) = -s(m) - 6*v(m). Give q(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 1:14 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275 is divided by 249?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 270 - 160. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = -11*o + 5*k, -21*k + 24*k = 8*o - 60 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -1\/7, 2\/5, -0.1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c. Let t be j(-2). Let n = -5 - t. Is -4*n\/2 + 12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -403 (c) -4 (d) 2 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1516*z - 26351 + 162791 = 0 for z.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 3*d**2 - 10*d - 16. Let a be x(-2). Let o be (-1)\/(-2) + 7\/(-2). Sort o, a, 1.\nAnswer: o, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, q: 6, x: 2}. Give prob of picking 2 x and 2 l.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 1, -5 in ascending order.\nAnswer: -5, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.1. Suppose 3*o = 5*x - 26, o - 3*x + 14 = -0*o. Which is the nearest to z? (a) -0.3 (b) o (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -157 - -79. Let x = -77.999918 - g. What is x rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1138, 2272, 3408, 4546?\nAnswer: 5686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -1\/4, 1\/5 in descending order.\nAnswer: 1\/5, -1\/4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (183\/(-2196))\/(((-25)\/(-60))\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -381*h**3 - 2*h*j**2 - 1874*j**2 wrt h.\nAnswer: -1143*h**2 - 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 75, -0.5, 223, 3, -0.2, -1, -5?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rro when three letters picked without replacement from {r: 1, n: 2, o: 1, l: 1, b: 1, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 14*a + 13. Determine g(5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 l when four letters picked without replacement from {z: 1, r: 1, i: 1, w: 8, l: 2, n: 2}.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 13*b**2 - 5*b + 5. Determine p(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.7133974 months to years.\nAnswer: 0.22611645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*t**2*w**4 - t**2 + 5*w**4 - w - 51 wrt w.\nAnswer: 36*t**2*w**2 + 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4608 + -1536. Is s a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4378*m**3 - 2*m**2 - 5*m + 69823.\nAnswer: 13134*m**2 - 4*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + (-1595)\/(-30))*9*(-120)\/(-9) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (31032\/(-72))\/((-170)\/30). Is 75 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12099 = 2*o, 5*o - 30216 = 12*d - 9*d. Let k = 11950 - o. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*-3*(-3)\/198*(-4220)\/(-1899)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 689*v + 2 - 536*v - 4 - 2.\nAnswer: 153*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3.7. Let g = b + -0.8. Let y = 0.1 + -0.1. Sort y, 4, g in decreasing order.\nAnswer: 4, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six sevenths of a week in days?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 8 + 12 - 38*j**2 + 2*j + 39*j**2 + 6*j. Give z(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 11:19 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15001 - -15003. Sort -2, -1, x, 4, 0.\nAnswer: -2, -1, 0, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - x - 50334 = 0, -y + 6*y - 4*x - 62923 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3 - 1221*p**2 - 389784*p - 10301264 = 0. What is p?\nAnswer: -596, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14073097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 minus 6206135?\nAnswer: -6206198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -15*s - 14. Let p(x) = -31*x - 33. Let u(w) = 2*p(w) - 5*r(w). Determine u(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*9 - (-119)\/(-357)*(-12 - -6).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1928004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4143440.11 to the nearest ten thousand.\nAnswer: 4140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/12 - 1)*-1*-9. Let b(c) = c**3 - 3*c**2 - 2*c + 7. Let w be b(y). Put -4, 5, w in ascending order.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70577216917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -714*j**2 + 909*j**2 - 191*j**2 + 23*j**3.\nAnswer: 23*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57689471.7 milliseconds to weeks.\nAnswer: 0.09538603125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c06d6 + 45?\nAnswer: -1c0691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7250 to the nearest one hundred.\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4397 - -74773\/17. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4488541, 8977083, 13465625, 17954167, 22442709, 26931251?\nAnswer: 31419793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -388, 2\/9, -2, -0.4, 12\/11 in decreasing order.\nAnswer: 12\/11, 2\/9, -0.4, -2, -4, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 9*l**2 - 10*l - 3. Give c(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1748*f**3 + 5*f**2 + 36*f - 5. Let r(b) = 1747*b**3 - 4*b**2 - 29*b + 4. What is -4*m(o) - 5*r(o)?\nAnswer: -1743*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 5. Let d be x(2). Suppose 4*m - d*m - 14 = 0. What is the remainder when 39 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1913, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*d - 2*w + 19, -5*d = w + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 8:48 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.67 and 5.\nAnswer: 3.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1845 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -18. Let l(b) = -2*b**2 - 2*b + 2. Let c(u) = u**2 + 2*u - 1. Let v(i) = -7*c(i) - 4*l(i). What is v(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203344 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 5*z**4\/12 - 145*z**3\/3 + 4205*z**2\/2 - 27*z - 2. Factor w(x).\nAnswer: 5*(x - 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**3 - 15*r**2*y**2 + 7*r**2 - 3*r - 2*y**2 - 373 wrt r?\nAnswer: -12*r - 30*y**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 431 + 5?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306837, 306836, 306835, 306834, 306833, 306832?\nAnswer: 306831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a - 5. Let g be (-3 - 3)*(-1 + 5\/3). Give f(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l. Let u(o) be the second derivative of -o**3\/6 + 2*o. Let i(f) = -6*j(f) - 4*u(f). Let a(q) = -6*q. Give a(i(z)).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 9. Let f = 260 + -106. Let j = 275 - f. Calculate the greatest common factor of c and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2091195, 2091345, 2091495, 2091645?\n\"Answer: 150*a + 2091045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 5) in base 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2)*v)\/(v\/v**(-8)))**(-36)\/((v*v\/(v*v**(3\/8))*v)\/(v\/((v\/(v*v**(2\/3)))\/v))*(v**(-3)*v)\/(v*v\/v**(-4\/5))) assuming v is positive.\nAnswer: v**(37421\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5966 and 58718.\nAnswer: 1115642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u*u**(-4\/7)*u)\/u)**(-42))**47)**(-8\/11) assuming u is positive.\nAnswer: u**(22560\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1811170 (base 9) to base 8\nAnswer: 3667103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 at most as big as 104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1493 + 1729. What are the prime factors of f?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1273, 1908, 2539, 3166?\nAnswer: 3789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - (0 - (4 + -9) - -9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j - 1. Let b(m) = -46*m + 2306. Let y be b(50). Let p(d) = 7*d - 2. Give y*t(l) - 5*p(l).\nAnswer: l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 1100.\nAnswer: 1100.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m - 5. Let z = -7 + 9. Suppose 12 = -z*b + 5*b. Suppose 5*y = i + 2 + 3, 4*i + 20 = b*y. Calculate c(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23610650 rounded to the nearest one hundred thousand?\nAnswer: 23600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -356*c**2 - 1252 - 3126*c**2 - 730*c**2 - 1432 wrt c.\nAnswer: -8424*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2*f**2 + f**2 + (-f**2 - 2*f**2 + 4*f**2)*(1 - 1 + 1) - 14*f - 79*f**2 + 14*f + 3*f**2 - 7*f**2 + 0*f**2.\nAnswer: -81*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7276010435 to four dps.\nAnswer: -1.7276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 40 = -c. Let d = c + 16. Suppose -5*a - 2*k = -4*k - 44, 5*k - d = -2*a. Calculate the greatest common factor of 20 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11240842 and 1074.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 46151.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2037*p + 270*p - 113633 + 18137 = 52932 for p.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x - 5 = -31 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*m - 154*m + 489*m + 295*m - 35346 = 0 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.7 or 2?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, 0, 6.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from vell.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -5*z - 23, -2*o + 0*o - 11 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 251\/2 - 127. Let w = -19\/42 - 3\/14. Let v = 1.56 + -2.06. Put v, g, w in ascending order.\nAnswer: g, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1741 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 20 + 2*s - 17.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2746622390.\nAnswer: 2, 5, 41, 173, 38723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 - 1)\/(-4 - -6). Put 1.1, s, -4\/5 in ascending order.\nAnswer: s, -4\/5, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15605120 and 176416.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/64 and -63\/680.\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4414\/193 or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 - (0 - 0 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3a0 (base 16) to base 11\nAnswer: -774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/(-12) - 4\/6. What is the nearest to 1\/3 in -1\/4, 1\/6, l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 6 - 2. Let a = 2\/197 + 376\/1773. What is the second biggest value in a, 1, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 20. Let c be i(20). Suppose 5*s - 5*n - 25 = c, -1 = -s - 2*n - n. What is the derivative of 9 - 4*q + s - 5*q - q wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 277930*i**5 + i**2 + 4*i - 2684.\nAnswer: 16675800*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40a (base 11) in base 6?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10*w - 13. What is the remainder when x(-11) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 31*m**2 - 276*m + 8185. Calculate j(23).\nAnswer: 6069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4 + 4550*a**3 + 1039665*a**2 + 2065700*a + 1030580 = 0. Calculate a.\nAnswer: -454, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*i = 0, z + 2 = -0*i - 2*i. Suppose 5*v - p + 1 + 58 = 0, p - 4 = 0. Let m = v - -23. What is the greatest common factor of z and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3)\/((-9 + 5)\/(-4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-14) + (-3 - (-5620)\/14). Differentiate -12 - 394*x**4 + h*x**4 - 9 wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 r when three letters picked without replacement from tkkraalrllllraaaa.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 8*l**2 + 7*l - 5. Let m be p(-7). Let k be 287\/m - -2 - (-15)\/(-25). Let w = 61 + k. Let n(b) = -4*b + 5. Determine n(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 10, -4 in descending order.\nAnswer: 10, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 205232105 + 1?\nAnswer: 205232110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -14\/184903?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38180 + 38180. What is the second smallest value in i, 4, 2\/9, -4, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**4\/4 - 3*y**2\/2 + 3. Let f(d) = 7*d**3 + 19*d. Let k(t) = -6*f(t) - 39*o(t). Find the second derivative of k(i) wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - -37) + 14 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*1*3*-3*(1 + sqrt(175) + 5)*-2.\nAnswer: 648 + 540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 48?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + 13\/(-11) - (-2)\/11. Is g - (1*3 + (-3870 - -6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**3\/3 + 5*z**2 - 5*z + 25. Let k be b(10). Find the common denominator of 105\/38 and k\/30*(-316)\/(-8).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7*y**2 - 1)*(-2*y**3 + 6*y**3 - 9*y**3 - 3*y**2) + 3*y**4 + y**5 - 3*y**4.\nAnswer: -34*y**5 - 21*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-64)\/(-40))\/2 + -1. What is the third biggest value in -8\/145, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3 - -2)\/2)\/(-1). Let k be -1*2 + (-22)\/(-10). What is the smallest value in t, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3, n - 5*n = 4*l - 32. Suppose 4*f + 561 = n*f. Suppose 3*s - 423 = 3*u, 7*u = 4*s + 2*u - f. Calculate the highest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20612\/14943 - -70\/51. What is the biggest value in n, 1, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15125143924+16\nAnswer: 15125143940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 411 and 6?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2358370?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, s: 1, p: 7}. Give prob of picking 4 z.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.313233 grams?\nAnswer: 2313233000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - 33?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/11 (b) -84.931 (c) -0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t**3)\/t))\/(t\/(t**(-1\/7)\/t))*t*t\/(t\/(t**(-2\/3)\/t))*(t\/((t\/((t\/t**(4\/5)*t)\/t)*t)\/t))\/t assuming t is positive.\nAnswer: t**(-589\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*m + 238*m - 777280 = 0. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2707 = -q - 4*z, -13*z - 5370 = -2*q - 10*z. Does 69 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.60231848 to one dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a + 25. Let r be (-1)\/(2\/4) + 6. Let g(c) = 2 + r*c**2 + 7 - 3*c - 5*c**2 - 3. Determine g(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425574.\nAnswer: 2, 3, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*s - 2 = 0, -4*s = 3*d + 17 - 21 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from jjjfjjjjjjjjjjjjjj?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*g - 142*g - 280 + 7000 = 0 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48931323.\nAnswer: 3, 7, 29, 80347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 24, 21, -6, -69, -180, -351, -594?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 1416.\nAnswer: 1\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**3 - 3*x**2 - 2*x - 5. Let q(u) = 5*u**3 - 4*u**2 - 2*u - 6. Let a(i) = -5*q(i) + 6*r(i). Let t = 3 + -1. What is a(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*k*t**2*z - 1175855*k*z - 220*t**2*z - 66280*t*z + 2 wrt k.\nAnswer: 67*t**2*z - 1175855*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 61*m + 44. Let w(l) = l**2 + 30*l + 23. Let r(q) = 2*h(q) - 5*w(q). Find a such that r(a) = 0.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2169 + -1246. Suppose -6*v - b = -7*v - 2*w, -v = -2*w - 915. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + 0\/(-2 - 2))*5. Let z(p) be the first derivative of 18 + d*p**4 + 17*p - 21*p**4 + 3*p + 18*p**2 + 4*p**3. What is c in z(c) = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -10326*r. Let i(d) = -768*d**2. Determine i(x(b)).\nAnswer: -81888979968*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3 - 4662*x**2 - 7244748*x - 3752779464 = 0.\nAnswer: -1554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008029 to five dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769 times -0.1?\nAnswer: -176.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 4*a**2 + 5*a + 2. What are the prime factors of g(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 44*u - 147. Solve u*z - 49 = -41 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 7:41 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72371.491 + -72402. Let p = -35.50836 - x. Let r = 5 + p. Round r to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 5. Let o(c) = 3*c - 30. Let v(g) = -o(g) - 11*t(g). Let s(i) = -i - 1. Determine -6*s(r) - v(r).\nAnswer: -2*r + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.07 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 11*o + 3)*(-4*o - 8*o - 3*o) to the form w*o + j*o**2 + n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54057, 54063, 54071, 54081, 54093, 54107, 54123?\nAnswer: 54141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(171).\nAnswer: -1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26064727.\nAnswer: 13, 23, 179, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.116 + -18.316. Let p = d - -20. Let s = p - 2.3. What is the second biggest value in s, 4\/3, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*q + 3577 = -4*q + 9*q + 17085 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*u**3 - 228054*h**3 - 7706*h*u**2 + 10*h*u + 3*u**3 wrt h?\nAnswer: 12*h*u**3 - 1368324*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*m + 12, 0 = 4*m + m + 4*z - 16. Suppose 3*r - 8 = -b, -2*b = -m*r - 2*r. Calculate the highest common divisor of 19 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 3. Let j be k(6). Let m be (-2)\/11 + (-458)\/22. Let l = j - m. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 374*p**2 - 292*p + 24. Give r(1).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.6 (b) -1\/5 (c) 3164 (d) -3 (e) -3\/2 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - u = s + 66, -5*u = -4*s + 74. Let b be (-5)\/135*s*(-3)\/2. Suppose -b*h**2 - 2\/3*h**4 - 20\/9*h**3 + 0 + 16\/9*h = 0. What is h?\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -80\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -410, -1604, -3588, -6362, -9926, -14280?\n\"Answer: -395*k**2 - 9*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14103*f + 11226*f - 5589*f - 22078*f to s + b*f and give b.\nAnswer: -30544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvzvwrohw. Give prob of picking 1 o, 1 v, 1 z, and 1 w.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s - 7. Let n be (-1)\/1 + 9*-2. Let h = 30 - n. Calculate the greatest common divisor of s and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*d + 2*d. Suppose -3 = 7*f + 32. Calculate the smallest common multiple of 4 and 4\/d - 27\/f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/21, -0.5, -0.1, 3033?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11116981 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:02 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 + 114*h + 5*h**3 + 138*h + 8*h**3 + 61*h.\nAnswer: 18*h**3 + 313*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -155*p**2 + 151*p. Determine y(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 306*k**3 - 40*k**3 + 223*k**3 + (-3*k - 3*k**2 + 3*k)*(5*k - 7*k + 0*k) in the form x + l*k**3 + c*k + h*k**2 and give l.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.012253 milligrams to grams.\nAnswer: 0.000012253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 10*o - 12. Let s be t(8). Let l(m) = m**3 - 5*m**2 + 5*m - 4. Determine l(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntw when three letters picked without replacement from gnnwtnnntnwtgnwnwnt.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 5, -8 in descending order.\nAnswer: 5, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + sqrt(28) + -5 + sqrt(2100)\/sqrt(3))**2.\nAnswer: -336*sqrt(7) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4963835.\nAnswer: 5, 347, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1238*k**3 - 625*k**3 - 616*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-15))\/(15\/(-25))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -320572 or -320576?\nAnswer: -320576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -335110510 (base 6) to base 4\nAnswer: -113112123222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-1)*(-6)\/(-5). Let c(b) be the first derivative of -11*b**2\/2 - 15*b + 28. List the prime factors of c(k).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 12*m. Let p be d(4). Calculate the common denominator of 89\/6 and 348\/p - (-2)\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f = -298 + 428 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 2*i + 4*i - 4*i. Let l(j) = 6*j. Calculate l(b(v)).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.61419 minus -4.2?\nAnswer: 176.81419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100313320031 (base 4) in base 10?\nAnswer: 4423181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4545 + -86357\/19. What is the closest to -2\/5 in -0.1, 0.172, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 19444043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 5*l + 2*l)*((-4 + 4 - 1)*(3 - 1 + 0) + 1 + 0 + 1 - 4 + 2 + 0 + (6 - 3 - 1)*(-2 + 0 + 1))*(17908 - 9033 - 8980).\nAnswer: -840*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 11. Calculate h(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 0.1, 0 in descending order.\nAnswer: 0.1, 0, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137 - 6. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364222670.\nAnswer: 2, 5, 7, 5203181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-35)*v)**37*(v**(-23)\/v)**42 assuming v is positive.\nAnswer: v**(-2266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 1)*(-4 + 4 + z)*(214*z**2 + 6*z**2 + 14*z**2 + 3*z**3).\nAnswer: -3*z**4 - 234*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 106.067. Let p = d - -0.014. Let x = p + -0.047. Is x not equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -16*w**2. Let h(t) = 3*t + 6*t - 8*t + 119*t**2 - t. Give u(h(o)).\nAnswer: -226576*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 16187*v - 97120. Let p be i(6). Factor -2\/3*n**p + 6 + 0*n.\nAnswer: -2*(n - 3)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 + 4*g - 15. Let a(c) = 3*c**2 - 3*c + 16. Determine 4*a(d) + 3*u(d).\nAnswer: 3*d**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -414*b**4 + 54344*b - 819590525 wrt b?\nAnswer: -1656*b**3 + 54344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 5*s**4\/2 + 15*s**3 + 25*s**2 + 15*s - 23. Factor w(v).\nAnswer: 5*(v + 1)*(v + 3)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(315)*-1 - sqrt(315)) + sqrt(315) + sqrt(315))\/sqrt(7).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - 809192.7\nAnswer: -809192.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -14*c. Let m(o) = 6*o**2. Let w(v) = -2*v**2. Let l(x) = -m(x) + w(x). What is l(f(j))?\nAnswer: -1568*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 3577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**5 - 2*o**3 + 2*o**3 + (-2 + 2 + o)*(2*o**4 - o**3 + o**3) + 4*o**5 - o**5 - 2*o**5.\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q + 68344 + 9*q**3 + 0*q**3 - 68329.\nAnswer: 9*q**3 - 13*q + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*w - 314*w + 30 = 0 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9192*c**2 - 12*c + 4595*c**2 + 4596*c**2 - 58. What is u(-7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150915649.\nAnswer: 13, 47, 1883659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 5*n**2 - 5*n - 4. Let z be w(-4). Suppose z = -3*h - 2*p + 19, 2*h - 21 = -0*h - 3*p. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {o: 7, e: 1, p: 8, b: 2, u: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1 - 16 = 0. Let c = v - 10. Calculate the remainder when -3*(c + -2) + 1 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -659*q**5\/60 + 79*q**4\/3 - 491*q**2. Find the second derivative of j(d) wrt d.\nAnswer: -1318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 175 in -2.9, 2.5, -8?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5309, -10629, -15949?\nAnswer: -21269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-70) - 54\/(-182)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -10*g**3\/9 + 48926*g**2 - 176132*g\/9 = 0.\nAnswer: 0, 2\/5, 44033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1085 + -827. Let q = -239 + r. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-78)\/(-13) + 3 + 159. Suppose -g + 4*i + 104 = 0, -g + 3*i + b = 67. Calculate the highest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*4*(sqrt(208)*3 + 2)*3)**2.\nAnswer: -4322304 - 110592*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7 - 0) + (-6)\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1349729638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6113, -12068, -17877, -23546, -29081, -34488?\n\"Answer: -p**3 + 79*p**2 - 6185*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62097 - 2*l + 2*l + 2*l + 62102 - 5*l.\nAnswer: -3*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.22, -4, 0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 242848703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 10*p - 19. Let j be i(-13). Let x = j - -91. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6730463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 + 9804*h**3 - 82365936*h**2 - 346034117056*h - 353368809666816.\nAnswer: 4*(h - 5241)*(h + 2564)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apuopopuap. Give prob of picking 2 a.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6752909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-11\/5)*d*d**(-32) assuming d is positive.\nAnswer: d**(-166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-110) - 16\/(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 10*c + 22. Let m be u(-7). Let b = 91 + m. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*s + 2 = 18, 5*s + 29 = p. Suppose -j + b = -p*j + 1, -b + 5 = 5*j. Suppose -5 = -3*k - d, 4*k + 4*d = k - 7. Sort k, j, -2 in descending order.\nAnswer: k, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -94 + 5*f + 144*f - 69*f. Let l be n(-16). What is l rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**3\/6 - v. Let m(o) = -9*o**2 + 127670 - 255344 + 127674. What is n(m(q))?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -150*n. Let s(t) be the third derivative of 7*t**5\/30 - t**3\/6 + 725*t**2 + 4*t. Determine u(s(m)).\nAnswer: -2100*m**2 + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89 - -33. Let s be 24\/(-60) - j\/(-10). What is the tens digit of s\/3 - (1 - 211)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -120*w**2 + 44*w + 44. Let i(g) = -8*g**2 + 3*g + 3. Let s(n) = -6*a(n) + 88*i(n). Determine s(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5870 a factor of 519563581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -0.9. Let p = -842\/99 + 96\/11. Let a be (-1)\/21*(-2 + -1). What is the second biggest value in g, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**7\/210 - n**5\/60 - 13*n**2\/2 - 10. Let b(m) be the second derivative of r(m). Find the third derivative of b(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 183, 0, -2, -5, -40.\nAnswer: -40, -5, -2, 0, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffftffttfffftfff. Give prob of picking 2 f.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194631, 389211, 583729, 778191, 972603, 1166971, 1361301, 1555599?\nAnswer: 1749871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 3:53 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 3 - -10) + -12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*4\/8*1 + -3. Let f be 5\/(5\/2) - (-6 - b). Let x be -4 - (-5 - (-1 + f)). Solve -5*h = -x*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 171.904586 - 171.89. Round u to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -18015.5 (b) 0.4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/15)\/(7\/70). Suppose s - 10 = 6*s - 2*i, -4*s - 8 = g*i. Let q be (-4 - (-3 - s))*-2. Let n(l) = l**3 - 5*l**2 - 6*l + 4. What is n(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 208.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - n = -4*n - 2, -l - 5*n = 12. Let a(h) = -3*h - h**2 + 0*h - h**2 + 2 - h**3 + 2*h. Let c be a(l). Solve -c*d = d - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*a**5 - 6*a**4 - 70*a**3 + 3803*a - 2.\nAnswer: 960*a**3 - 72*a**2 - 420*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 + 10*a)*(-115*a - 18*a**3 + 115*a).\nAnswer: -180*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -368 divided by 23\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 277252333, 277252336, 277252339?\n\"Answer: 3*j + 277252330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.94 + 7. What is the fourth smallest value in 0, 2, -5, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 5, 3*w + 75 = 5*h + w. Let o(r) = r**2 - 15*r + 29. Let b be o(h). Sort -7, b, 2 in ascending order.\nAnswer: -7, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3432420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**6\/120 + 7*l**5\/12 - l**4\/24 - 3*l**3 + 18*l**2 - 2. Let c be w(-35). Calculate the greatest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -687*o - 101. Is i(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = -u + 19, 5*u = f + 79. Suppose -o - 2*o + 165 = 0. Suppose u - o = -5*c. Calculate the remainder when c is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y**2 - y**2 - y**2)*(0*y + 2*y - 4*y)*(40*y + 608 - 608) + 2*y**4 + y - y as h + w*y + s*y**4 + p*y**2 + i*y**3 and give s.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from {v: 1, c: 12}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 858 + 13963.\nAnswer: 14821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 156*(-4 - -2)\/(-4). Suppose -5*u = 8 - z. Calculate the remainder when 41 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17607*j + 17598*j + 468 = 0 for j.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o - 25. Calculate i(16).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 38*b + 3890 = -40*b, -v - 5*b + 3848 = 0. Does 55 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, -1, -5\/74?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-2)\/(-32)*-4. Suppose 1 = y - 0*y + 2*p, -3*y = 5*p - 3. Let i = 5\/3 - y. What is the closest to o in 1, -5\/2, i?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p = -6. Suppose -r + v = 6*v - 27, 5*r - 275 = 3*v. Suppose p*u - 14 - r = 0. Calculate the smallest common multiple of 12 and u.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 400*u**3 + 8*u**2 - 3*u + 27. Let q(a) = -1200*a**3 - 23*a**2 + 8*a - 83. Let n(g) = -8*c(g) - 3*q(g). Find the third derivative of n(p) wrt p.\nAnswer: 2400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**4\/4 + 10*p**3\/3 + 2*p**2 + 3*p + 5. Let i be g(6). Suppose -2*m + 3*r + 44 = -75, -i = -3*m + 3*r. Does 26 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g\/g**(2\/7))\/g)*g*g*g\/(g*g**(-3\/5))*g*g*g*g*g**(-35)*g**(2\/11) assuming g is positive.\nAnswer: g**(-10369\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5433688*t**3 - 1569943*t**2?\nAnswer: 32602128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063 is divided by 1038.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h - 5. Suppose 4*y = h*y + 12. Let o = 7 + y. Solve -5*w = -a + 5*a + 23, -3*w - 3 = -o*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 80 + 62 = -t + m, -32 = -2*m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 3) + -7 + 30. Suppose 107 = g*x + 11. Suppose 13 + 17 = 3*m. Calculate the highest common divisor of x and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13569 - 6783 + 0*c - c - 6790. Give d(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7449137.2 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 8 = 2*j, -3*u = -0*u + 12. Suppose 5*a = a - 3*f, -j*a = -f - 16. Suppose -5*w = -a*b - 0*w + 154, -4*b + 2*w + 210 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 + 4 + g**3 + 5*g - 3*g**2 - g**3 - 3*g**3. Suppose 2 = 3*c + 14. Determine l(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -12 + -1 + -14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**2. Suppose 44 = 35*w - 61. Let v(u) be the second derivative of 3*u + 0 + 0*u**2 - 1\/6*u**4 + 0*u**w. Calculate h(v(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -121869030 rounded to the nearest one million?\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = -11*j + 56140. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (111\/(-222))\/(2\/(-4604)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 5*b - 22 + 6, -3*b = -3*g - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f*f**(-2\/15))*f)*f*f**(2\/5)*(f**(-4)*f)**(1\/9) assuming f is positive.\nAnswer: f**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5 - 1650*x**4 + 6624*x**3 - 6632*x**2.\nAnswer: -2*x**2*(x - 2)**2*(x + 829)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (32 - 30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, 5, -1, -3\/7, 5\/56?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10094064 divided by 3.\nAnswer: -3364688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15303913 is divided by 84.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*3\/(-6)*8. Suppose -5*w = -j - 1. Let r(s) = s - 2. Calculate r(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*p + 3. Suppose 3*z + 6 = -d + 3, -4*z = 0. Calculate the remainder when (p\/d)\/(1\/39) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3230282 and 435826.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 679\/16, -0.114 in decreasing order.\nAnswer: 679\/16, -0.114, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.1, 3\/38, -5\/6, -2\/267?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + l + 0*l = -4, 5*l = -5*u + 20. Let y(j) = -3 - u*j + 5 - 1 + 2*j**2 + 3*j**2. Determine y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5 = 5*x. Suppose 0 = -5*w - 3*k + 3 - 28, 5*w - 4*k - 10 = 0. Sort w, 2, x.\nAnswer: w, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69.1 + -70.1. What is the third biggest value in 0.4, 34, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13209818 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -3, -1\/13, -0.2, -0.3, -461, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 7:54 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 211 = 5*d, -n - 2*n = -2*d + 307. Let b = n + 313\/3. Factor -b*o + 0 - 2\/3*o**2.\nAnswer: -2*o*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70 - -62 - (0 + 2 - -6)) + -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 13*j + 24. Let m be q(-2). Let f = -3.01 - -0.01. Let b = f + 2. What is the second biggest value in 1, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j**2 + 2. Suppose -3*g - 115 = -121. Let i(f) = 26 - 27 - 3*f**2 + 2*f**g. Give 2*i(s) + z(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/27 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*d = -40, 0 = -3*r - 0*d - 4*d - 31. Let q(h) = -h**2 - 8*h + 3. What is the units digit of q(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3\/2 + 98687*h**2\/4 - 20556*h - 180917\/4 = 0. Calculate h.\nAnswer: -1, 11\/6, 16447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) -1\/5 (c) 1.5 (d) 1\/10 (e) -0.662\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 328587029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4269*r - 4274*r - 120 = -51*s - 34, -2*r - 19 = -5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 - 75*t**2 + 22*t**2)*(76 + 5*t - 76).\nAnswer: -285*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36785186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**5 + 243*z**4 + 635*z**3 - 190*z**2 - 924*z + 232 = 0. What is z?\nAnswer: -58, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 99797785271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or 1\/7?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1554, 2104, 2654, 3204, 3754?\n\"Answer: 550*y + 1004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.44229559 rounded to three dps?\nAnswer: 1.442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/19)\/(r\/r**22) assuming r is positive.\nAnswer: r**(401\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 4*s**2 + 3*s + 29. Give g(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 5:14 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16670 + 21022. What is the highest common divisor of 68 and v?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/48 and -125\/425382?\nAnswer: 3403056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*c = 101*c + 64 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 130 = 10*v. Suppose -4*p = -v*p - 819. Let w = 593 + p. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67274.4 millilitres to litres.\nAnswer: 67.2744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 36256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6756 or -6760?\nAnswer: -6756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 19006286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1361, 5, 4 in decreasing order.\nAnswer: 1361, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 15 - 160*n - 7 + 10.\nAnswer: -160*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = f + 37. Let u = f + 266. Let d(q) = -2*q - 3*q + 112*q**2 + 3 - q**3 - u*q**2. Calculate d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.13 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -107, -164, -259, -392, -563, -772, -1019?\n\"Answer: -19*b**2 - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 1215820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(((-33663)\/1078)\/(-229))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(18)).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((-1 + sqrt(108) + sqrt(108))*-2 - sqrt(108)*1*-4 - (4 + -3*sqrt(108) + -3)) + 0))**2 + 4.\nAnswer: 576*sqrt(3) + 15572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 15*n**3 - 166*n**2 + 10*n - 17. What is r(11)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/(-1690)*-13 - 6\/(-30)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -45. What is the units digit of 1*(-4 + 3) + r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 2*k**2 + 2*k - 3. Let z be b(3). Let v(o) = o**3 - 18*o**2 - 71*o + 176. Let g be v(21). Solve 0 = -n - 2*c + z, -2*n - c + g = -1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11025 and 1995?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 131\/20 in 5, 0.13, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*o - 3819 - 6422 + 1254 = 117*o for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - (-229)\/(-2))*(-4)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.1, 101981, 0.89?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*g - 4*x, -2*x - 2*x = -3*g - 34. Let r(k) = 14*k**2 + 17*k + 9. What is the hundreds digit of r(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-380))\/((-220)\/(-1760)*6\/(-5))\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8044 - 0.8044. Which is the closest to t? (a) -0.3 (b) -3 (c) 0.2 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-9))\/(1\/(-3)). Let k be ((-6)\/9)\/(j\/(-6)). Suppose -5*h = 4*t + 23, 2*h + 6*t = 10*t + 2. Sort 2, k, h in decreasing order.\nAnswer: 2, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67831*s + 25 = 67836*s. Let p(f) = 3 - 6*f - f + 0*f. Give p(s).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c - 15. Suppose 3*j - 3 = -0*a + 3*a, 0 = -j - 4*a + 6. Solve 4*m = -5*g + 15, 16 = -j*m + c*m - g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2, -3, -6, -11?\n\"Answer: -l**2 + 2*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 14*h**5\/15 - 17*h**4\/24 - 73*h**2 - 1. Find the second derivative of c(n) wrt n.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 41*r - 42. Does 13 divide m(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -207*t**2 - 1. Let j(p) = 2*p. Determine j(s(q)).\nAnswer: -414*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i. Let l(p) = -6*p**2 + 39*p. Give a(l(b)).\nAnswer: -12*b**2 + 78*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k + 7*k = 30*k - 451 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-22) - 20\/(-11). Suppose v*u = 1 + 1. Suppose m + 4*i = 14, -5*i + 15 + 0 = 0. Which is bigger: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 0. Let k = 167 - 170. Which is smaller: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198249319, 396498642, 594747965, 792997288?\nAnswer: 991246611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000536 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25684052 = 137*u - 179349888 - 57716259. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-3 + 2)*6. Let w be (43\/86)\/(8\/144). Solve 4*b = -5*s, 5*s + w = p*b + 54 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*s = 7*j - 26, -27*s - 79 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*t + t. Let r = 53 + t. Does 16 divide (0 + 0 - -2)*r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 420, -27 in ascending order.\nAnswer: -27, -5, 5, 420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2. Let h(g) be the first derivative of -2 - 9\/2*g**2 + 0*g. Calculate h(c(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(77)\/(sqrt(7) + -4*sqrt(252)) - (sqrt(77)\/(sqrt(21)\/sqrt(3)) + -2)).\nAnswer: -2 + 24*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 519120 rounded to the nearest ten thousand?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 11*h**2 + 6*h - 6. Let d be o(5). Let y be 12\/d*(2 - -3). What is the tens digit of (72\/(-30))\/(2\/y + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 34?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 9 + 5)*(-2*t**2 - 2*t**2 + 2*t**2)*(3*t**2 - 2*t**3 - 3*t**2).\nAnswer: 52*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) 4\/17 (b) 0 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 8*n**2 - 8*n - 6. Let t be j(9). Find the first derivative of -6 + 5*l**3 - l**t + l**3 wrt l.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -8*l**6\/15 - 7*l**5\/5 - 199*l**4\/2 - 4*l - 53. What is the third derivative of g(j) wrt j?\nAnswer: -384*j - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1022 = -3*t, 3*h = 4*t - 0*h - 1363. Suppose -5*l + 264 = -3*q - 271, -2*q + t = 3*l. List the prime factors of l.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15429 + -15482.136. Let x = -0.064 + b. Round x to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 1 + 2. Let s(j) = -3*j**2 + 73*j + 16061. Let l be s(-62). Solve -1 = 5*h - 3*h - l*a, 4*h + n*a = -29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 divided by -21.\nAnswer: 166\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (12 + 0 - (15 + -7 + -1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 1 + 1)*(2 - 2*m**2 - 2 + (-25*m + 14*m - 7*m)*(0*m - 2*m + m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/3)*v\/v**(1\/6)*v**(1\/17)\/(v*v**(-1\/6)*v*v) assuming v is positive.\nAnswer: v**(-133\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 6:14 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1722 + 3?\nAnswer: -171c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1022450*x**2. Let o(v) = -8*v. Give i(o(a)).\nAnswer: 65436800*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2071*w**2 - 1038*w**2 - 1038*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70587528 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622080?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 165806, 165833, 165860, 165887?\n\"Answer: 27*q + 165779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 516907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b - 122*b + 34*b = -5*r - 49*b + 70, 0 = -3*r - 4*b + 75 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 63, 76, 71, 42, -17, -112, -249?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*g - 37. Suppose -6*l = 2*x - 3*l - 10, -2 = -2*x - l. Let j = x + g. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025511950?\nAnswer: 2, 5, 20510239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3384 - -3382. What is the biggest value in b, 4.4, -0.5, 0.5?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 - 34*h + 384. Let t be o(-18). Solve 0 = t*m + 136 - 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(0 - 3) - 80\/(-16). Solve a*q - 3 - 7 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1553761.5 + -0.11851?\nAnswer: -1553761.61851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*sqrt(117).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbbbbhbhbbhhh. Give prob of sequence hbhh.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364116 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 7)\/(17 - 14). What is the nearest to h in 1, -3\/29, -2\/11, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245301 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: Calculate ((-24)\/9)\/4 + 11\/275*10.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 52814664?\nAnswer: 211258656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:05 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(20\/3)\/((k\/(k\/k**(-2))*k)\/(((k\/k**(2\/3))\/k)\/k*k)) assuming k is positive.\nAnswer: k**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.03, -0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22316730 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*y + 411 + 29 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/14 (b) 3 (c) -11\/3 (d) -10.1127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + -0.28. Let h = 118.3 - 120.3. What is the second smallest value in u, 17, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(52)\/sqrt(4) - sqrt(104)\/(sqrt(24)\/sqrt(3)) - (sqrt(208) + (sqrt(208) - 3*(sqrt(208) + 0) - sqrt(208)) + sqrt(208)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -306960 (base 10) to base 2\nAnswer: -1001010111100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 8:24 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -28. Let v = -41 + s. List the prime factors of (-1 - -119) + v\/7.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574044 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -287. Let s = c + 243. Let y = 4.6 + -5. What is the closest to -3 in -0.1, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353578 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7446 (base 14) to base 12.\nAnswer: -b732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/9)\/((-6)\/(-18)). Suppose u*h = q + 39, -11*q + 6*q = 4*h - 45. Solve 4*v + 3*r - 1 = 0, 0 = 2*v - 0*v - 2*r + h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185716, 371523, 557422, 743413, 929496?\nAnswer: 1115671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1165*17627\nAnswer: -2053.5455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyryyyry. Give prob of picking 2 r and 1 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 2 (c) 0 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 2*z - 16. Calculate w(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 a factor of 405109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 430854 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - y**2 + 2)*(-8 - 6*y + 8).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 61*w**9\/504 + w**5\/60 + w**3\/6 - 3*w**2 - 14*w. What is the third derivative of i(o) wrt o?\nAnswer: 7320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*p + 67*p + 68*p + 66*p - 254*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/4 + 2313*m**2\/2 + 5349969*m\/4.\nAnswer: m*(m + 2313)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*d**2 - 15*d**2 + 6*d - 7*d**2 - 20*d**2 to i + j*d + x*d**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1377192264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 9*g + 12 + 3\/2*g**2 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 7*a - 4. Let i be (-840)\/(-135) + 2\/(-9). What is c(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399*z**3 - 15 - 16 - 19*z**3 + 5.\nAnswer: -418*z**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -7. Suppose 5*o = 8*o + 63. Let t = 45 + o. Calculate the highest common factor of t and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htuqlto. What is prob of sequence qt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 + 2*t**2 + 152 - 118 + 4*t**2.\nAnswer: 2*t**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/8)\/((m**(-1\/7)\/m)\/m*m*m))\/(m**(1\/5))**(-2\/41) assuming m is positive.\nAnswer: m**(-2553\/11480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 6, b: 3, e: 4, i: 2}. What is prob of sequence ri?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 183*q + 24432 - 46575 for q.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -8*l - 72 + 144. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728*q + 7705 = -11223 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 102040*t + 650760100.\nAnswer: 4*(t - 12755)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - 3. Let g(c) = -c**2 - 8*c - 2. Let i be g(-7). Is z(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - j + 29 = -3*j, 2*n = -j + 8. Suppose 4*o - 1025 = 2*o + 3*q, -n = -q. What are the prime factors of o?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4\/9 + 23084*x**3\/9 + 138448*x**2\/9 + 184576*x\/9 = 0.\nAnswer: -11536, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -291*s - 259. What are the prime factors of w(-36)?\nAnswer: 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66176 is divided by 217?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 0 + 2\/17*w**3 + 2\/17*w**2.\nAnswer: 2*w**2*(w + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 301, 302, 303?\n\"Answer: t + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519168 - 578703 = -35*y + 544679. What are the prime factors of y?\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*z + 952, 6*w = z + 3*w - 228. Suppose -z - 2232 = -11*x. Calculate the highest common divisor of 90 and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 0)*(-1)\/((-2)\/8). Suppose -4*y + 1336 = 2*n, 6*n + t*y - 3993 = 7*y. List the prime factors of n.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmq when three letters picked without replacement from {c: 1, m: 5, t: 1, u: 1, q: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 24 = -5*j. Solve j = t + 1, t - 9 - 10 = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5962 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 612957414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 813*d - 27171. Determine k(-31).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -117*n**3 - 9*n**2 - 18*n - 37. Is h(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**5\/30 + 11*j**4\/24 + 7*j**3\/3 + 3*j**2. What is the common denominator of 21\/2 and t(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 41 + 15 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*d + 9, 24 = -2*d + 6*d - 4*g. Let f(c) = 21*c**2 + 2*c - 10. Let h be f(d). Let v = h + -57. What is the greatest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 19*w - 246. Let u be c(13). Let j(a) = -a**2 + 7*a - 7. Let v be j(5). Solve -v*q = -5 - u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:03 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -5805, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -52 (b) 0.003 (c) 2 (d) 4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 8*s + 17. Give a(-6).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-8)\/10)*5\/2. List the prime factors of 234 + ((-8)\/12)\/(s\/6).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531118183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/6799 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/7, 191, 0.0176?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/93 - -3\/62. Which is the closest to -2\/3? (a) -1\/2 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.98 + 22.22. What is o rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*q = -7, -2*s - 8*q + 23 = -3*q. What is the lowest common multiple of 2 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*s**3 - 2 + 34*s**3 - 543*s**6 + 1327*s**2 - 43*s**3 wrt s.\nAnswer: -65160*s**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, 85, 222, 403, 622, 873, 1150?\n\"Answer: -j**3 + 31*j**2 + j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p. Let r(j) be the first derivative of 2*j**3\/3 - 25*j - 2196. Give k(r(i)).\nAnswer: 8*i**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3 = -b, 2*b - 3*w - 8 = -2*w. Suppose 4*j + 1333 = 3*x, -j = -0*j - b. What are the prime factors of x?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**3 - r**3 - r**3 + 0*r**3 - 6*r**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 357*m + m**2 - 357*m in the form g*m**2 + f + s*m and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -2011?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 43*u - 87. Let a be l(26). Let c = a - 141. Determine f so that c + 13\/6*f**2 - 10*f + 1\/6*f**4 + 5\/3*f**3 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 15. Let v be 2 + (-3 - 28\/z). Is v at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2955 and 245473820?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1886465*o - y + 10 = -1886467*o, -4*o = 3*y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544907109?\nAnswer: 3, 181635703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 12*t**2 + t - 1. Let b be (-3 + 0)*(-3)\/9. Let m be y(b). Let q = 17 - m. Sort 0, -2, q.\nAnswer: -2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + 512*s + 5965. What is g(-12)?\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = -i. Calculate the highest common divisor of 15 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*l - 50234 + 5052. Do l and 1188 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5910, 2\/7, -0.04.\nAnswer: -5910, -4, -0.04, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1584 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*y = -48*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**5 + 475*o**3 - 7*o**2 - 26*o + 649 wrt o.\nAnswer: -60*o**3 + 2850*o - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(1\/2)*z)\/z**5)**(-37))**(-12) assuming z is positive.\nAnswer: z**(-1110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 107*y**3 + 4*y + 1. Let p be (-36)\/(-21) - 10\/(-35). Is m(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1872*i**2 + 91*i + 2. Let o(n) = 312*n**2 - 14*n. What is 2*l(v) + 13*o(v)?\nAnswer: 312*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16825 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110101101 (base 2) to base 11.\nAnswer: -1527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -928764, -1857585, -2786406, -3715227?\n\"Answer: -928821*k + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5976292ml?\nAnswer: 0.0005976292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2 - 877*k - 1758 = 0.\nAnswer: -2, 879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3060, 6125, 9190, 12255?\n\"Answer: 3065*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -148076, -296160, -444242, -592322, -740400, -888476, -1036550?\n\"Answer: t**2 - 148087*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-2 - 4) - -6) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442, -447, -462, -493, -546?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65679530.\nAnswer: 2, 5, 7, 938279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 5*n**2 - 7*n + 6. Let v be h(6). Let a(g) = g. Let l be a(v). Let s = 11 + l. Calculate the remainder when 32 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14942, 30122, 45300, 60476, 75650, 90822?\n\"Answer: -x**2 + 15183*x - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 + 2*b**3 - 2*b**4 - 2*b**2 + 12*b - 2 + 0 + 3*b**4 + 0*b**2 in the form h*b**2 + f + j*b**4 + w*b**3 + z*b and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15232 and 131070.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p + 8. Suppose -12 - 6 = 3*z - 3*c, 0 = 3*z + 2*c - 2. Let k be (-3)\/((-9)\/z*4\/12). Let w be v(k). Solve u + 4 = -w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2448) + 2 + sqrt(2448)*-4)**2 - (sqrt(2448)*1 + -2 + 3*(sqrt(2448) + -1))**2) + 5.\nAnswer: -171404 + 1344*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2120023 (base 5) to base 7.\nAnswer: 205621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**4 + 5*d**4 - 9*d**4 + (2 - 2 - d)*(-2*d**3 - 2*d**3 + 3*d**3))*(-1 + 2 + 1).\nAnswer: -22*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 37?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2*(-3)\/(-15))\/(1\/10). Let v = -26 - -29. Sort v, -5, -1, f.\nAnswer: -5, f, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 275 + -276 + 16 + 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {h: 1, f: 1, k: 2, n: 2, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2399995*d + 2. Let w(x) = 2399996*x - 1. Let u(m) = 3*j(m) + 4*w(m). Let r be u(2). What is r rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 3:55 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -61, -127 in increasing order.\nAnswer: -127, -61, -11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -2818 and -2818 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.4 (b) 0.02 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 0*p**4 + 0*p**2 - 1\/6*p**3 + 2*p + 0 - 1\/15*p**6 + 0*p**5. Find the second derivative of r(s) wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 4653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1380, 2775, 4172, 5571?\nAnswer: 6972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/39*26 - (1 - 0). Solve r = 3*k - 16, -x*k - 3*r + 17 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w - 5*i - 14, 3*w + 2*i + 1 = 0. Let d = 2 - w. Suppose 2*j - 7 = -3*v, -3*v = -2*v + j - d. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 smaller than 445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 90.05942 decades?\nAnswer: 9.005942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.049 + 1.089. Let g = a + -1.2. Let j = g - -0.435. What is j rounded to 2 dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 12 + 5 - (2 + (3 - 8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 175 = -45. Is -43 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-9) - 42\/(-189))\/(-1). Which is greater: 43 or q?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 - -198. What is the remainder when 156 is divided by f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90982050.\nAnswer: 2, 3, 5, 409, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5)\/m)\/(m*m**(-5\/6)\/m))\/(m**(-1\/4)*m*m*m*m\/(m**(2\/11)*m*m))*(m\/(m**(2\/25)\/m)*m*m**(-1\/5))**2 assuming m is positive.\nAnswer: m**(10907\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-15))\/((-10)\/25). Solve -m*z - 1 = 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(272) - sqrt(17))**2 - (sqrt(119)*5)\/sqrt(7).\nAnswer: -918 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807120 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/(-875) + 452826870\/350 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (144 + 142 - 405 + 156)*(2*k - k + k) to u + w*k and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6380 + -2475439\/388. Is -2\/5 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, 3, -12, -43, -96, -177?\n\"Answer: -g**3 + g**2 - g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcb when three letters picked without replacement from bcbccccccccccccccc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 268 = -367 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 171 = 2*x + 4*g, 3*g - 569 = -5*x. Suppose 2*j = -3*j - 4*k - x, -j = -k + 17. Let d = j - -40. Solve 5*m - m = -d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 p when three letters picked without replacement from {t: 2, p: 3, h: 8, o: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -572\/45 + 63\/5. Put -2, 4\/9, l in ascending order.\nAnswer: -2, l, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 2776185*f**2 - 2774743*f**2 + 2)*(2*f + f - f) + (4 - 4 + 2*f)*(-2*f**2 - f**2 + 4*f**2) + 7*f**3 + 1 - 1.\nAnswer: 2893*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*z + 7. Let h = -101570 - -101667. Is z not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2179*f + 35049 + 4884 = -1285*f - 973*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -14.7. Let t be ((-4)\/3)\/((-21)\/9). What is the closest to 1 in -2\/5, t, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4514833 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2452 - -2451. Suppose 3*v = -39 - 12. What is the third smallest value in v, q, 1, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.142 - -3.1. Let u = -3020576 + 3020576.04199922. Let f = x + u. What is f rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302505 (base 6) to base 9.\nAnswer: 35755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 877 or 876?\nAnswer: 876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*b - 4*b - 3*b**2)*(4 + 1 - 4) + b**2 - 6*b**2 + 2*b**2 + 1 - 1 - 2*b**2 + (-3*b + 2*b + 2*b)*(0*b + 2*b + b))*(b**2 - 5*b**2 + 3*b**2).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69146, -138293, -207440?\nAnswer: -276587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**4 + 4712*s**3 + 66302*s**2 + 137548*s - 208560 = 0.\nAnswer: -11, -4, 1, 2370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*a = -265*a + 535*a - 24. Calculate the lowest common multiple of a and 207.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 11:40 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-14)*39)\/(10*(-1)\/(-20))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5721699, 11443402, 17165105, 22886808, 28608511, 34330214?\n\"Answer: 5721703*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 8*d = 9. Suppose 5*c - 265 = -2*m - 3*m, d*c - 167 = m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -546.26765 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -116*f + 2. Let j(l) = 115*l - 4. Determine -2*j(w) - 3*x(w).\nAnswer: 118*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -7*o + 6*o + 5, -2*o + 3 = 5*h. Solve 5*q = f + 29, -q = -9*f + o*f - 25 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5175 and 349600?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14005311 and 18673748.\nAnswer: 56021244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (263 - 266) + (-242)\/(-82)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 675 and 5940?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0126335989 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2753, -745, 3 in descending order.\nAnswer: 3, -745, -2753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 4193288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 786456814633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyz when three letters picked without replacement from yjjzjjzzj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0*f + 1 - 23116*f**2 + f - f + 23122*f**2.\nAnswer: 6*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*a + 4656 = 1155*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 at most -1179\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*o)*(-o + o + o**2)*(-o**2 + 24*o**2 - 145 - 22*o**2).\nAnswer: -2*o**5 + 290*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 337.0028l?\nAnswer: 337002.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*h + 521 + 224*h + 76*h.\nAnswer: 276*h + 521","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) -1 (c) -6 (d) 10 (e) 2399\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 281930117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/15 + 13552*s\/15 - 5669888\/15.\nAnswer: -2*(s - 6328)*(s - 448)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 975 and 1833.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2995.342 years to decades.\nAnswer: 299.5342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34184 divided by 4\nAnswer: -8546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 - -105. Let b be 6*(-4)\/y*3. Suppose 0*c - 2*q - 178 = -2*c, 2*q = -b. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 910 - 454 - 644 as z*i + a + d*i**2 and give a.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -175 + 1227\/7. Are -0.114 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4 - 7*t - 3*t**3 - 3*t**3 - 3*t**3 - 2*t**3 - 4*t**2. What is the remainder when q(-2) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*t**3 - 27325*t**2 + 1788514*t wrt t.\nAnswer: -60*t - 54650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -244 - -2307. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 20\/16*8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*f - 51936, 0 = 2*f + 44*b - 45*b - 25956. List the prime factors of f.\nAnswer: 2, 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7843468, 15686935, 23530402, 31373869?\nAnswer: 39217336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o**2 - 423*o**5 - 3*o - 18*o**2 + 13*o**2 - 54*o**5 wrt o.\nAnswer: -9540*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*i = 11, -41*s + 42*s + 5*i - 16 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16096, 16101, 16110, 16123, 16140, 16161, 16186?\nAnswer: 16215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13944 - 0.8.\nAnswer: -13944.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5010.6599 + 5010. Let y = 0.1491 - z. Round y to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*f = -s - 2, -3*s - 3 = -2*f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/6*(-7 + -15). Sort -1, -3, z in decreasing order.\nAnswer: -1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from oggtttlitookooot?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**3 - 3*p. Suppose 0 = 5*r - 5*x, -r - 5*x = -4*r. Let k(t) = r*t + 3*t + t**3 + 5*t**3. Suppose -380 = -76*h - 0. What is h*z(v) + 4*k(v)?\nAnswer: -v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, y: 7}. What is prob of picking 3 y?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + j**2)*(6*j - j - 2*j) - 8*j**3 + 17*j**3 + 12*j**3.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -330 - -119. Let w = i + 327. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (39 - 34 - (5 + -2)) - -7\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-8)*-3*(-8)\/(-6 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5371\/436 - 15\/218. Suppose 219*v - 153*v - 858 = 0. Is v bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42482*n**2 + 101116 wrt n?\nAnswer: 84964*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070637605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**3 - 1390*a**2 - 6305*a + 141960 = 0. Calculate a.\nAnswer: -273, -13, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 125 - 11. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1769*v - 79 = 1770*v - 3535*v - 5*l, 5*l + 5 = 0 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-2))\/((-16)\/64). Solve -5*o + m*o + 5*g = 27, 0 = 2*o - 2*g + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 9*s + 19, -5*q + 207*s - 81 = 206*s for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6 - 2*d + d - d**2 + 0*d**2 + 11. Let y be j(0). Suppose -5*b + 126 = 26. Calculate the highest common factor of b and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -50, 0.1, -2\/7, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94493657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3458 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 0*n**2 + 3*n**2)*(-21 - 12*n + 21).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 11:54 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + -0.3. Let u = -15 - -13.1. Let l = u + 2.1. What is the smallest value in l, j, 1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(84))\/((sqrt(12) - -5*1*sqrt(12)) + sqrt(12) + sqrt(12)) + (sqrt(28)\/(1*(sqrt(4) - (sqrt(4) + sqrt(64))))*-1)**2.\nAnswer: 7\/16 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 + 463\/4. What is the closest to 0.1 in -2, n, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 1. Suppose 4*d + 16 = g*f, -5*f - d - d = 15. What is the remainder when 27 is divided by -2 - f*(15 - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3384\/235)\/(-72)*-85.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225373.\nAnswer: 1225373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 974, 899, 810, 701, 566, 399, 194?\n\"Answer: -q**3 - q**2 - 65*q + 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -163042*h**4 + 112152*h**2 - 2?\nAnswer: -3913008*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 1\/4 (b) -2\/41 (c) 0.05 (d) 4 (e) 0.2606\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 99, 218, 385, 600, 863, 1174?\nAnswer: 1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35\/3 - 11. Let i(d) be the first derivative of 1\/3*d**6 + 0*d**5 + 0*d + 0*d**4 - l*d**3 + 4 + 0*d**2. Find the third derivative of i(j) wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368, -304, -240, -176, -112, -48?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.569602 years?\nAnswer: 66.835224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2183*g**2 + 2*g + 75.\nAnswer: -4366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**6\/360 + o**5\/24 - o**4\/24 - 4*o**3\/3 - 2. Let a(i) be the third derivative of q(i). Let l = -3 - -6. Give a(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -103 + 102 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 70*x**2 - 4*x - 138. Let l be p(-35). Suppose -l*r + 7*r = 5*d + 5745, -6 = -2*d. Is r a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 316583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 35*p - 16*p + 0)*(0*p**3 - p**3 - 2*p**3).\nAnswer: -57*p**4 - 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.5 - 2.9. Let c be (-86)\/10 - 8\/20. Let z be 3\/2*3\/c. Put f, -7, z in decreasing order.\nAnswer: f, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/11))**(8\/11) assuming p is positive.\nAnswer: p**(104\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 - (-2)\/(-8). Let o = -14 - -26. Let l = 7 - 3. Solve -o = -v*p - l*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 10. Suppose 5*n - 29 = -4*p, -4*p - n + 19 = -u*p. Suppose -p*j + 7*j = -84. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 u when three letters picked without replacement from {b: 3, v: 1, u: 2, q: 9, w: 1, l: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/23274004 and -6\/65.\nAnswer: 116370020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15248 divided by 7007.\nAnswer: 15248\/7007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14)\/70 + 15333\/15.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, v: 6, z: 4}. What is prob of picking 2 z?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7913762 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*m + 10 = 0. Let x be -26 - (0 + m)\/2. Let z = 123\/5 + x. Is -1 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -111012 and -0.3.\nAnswer: 33303.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2*g + 3*g)*(-4839 - 7082 + 4274).\nAnswer: 7647*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -62*f**3 - 7*f - 18. Let l be t(-2). Let d = 497 - l. Suppose 6\/11*z**4 + 2\/11*z**d + 4\/11*z**3 + 0*z**2 + 0 + 0*z = 0. What is z?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7687 + 23624. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 883 + -883. What is j in 0*j**2 + 0*j**4 + m - 2\/9*j**5 + 4\/9*j**3 - 2\/9*j = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364157112 divided by 2.\nAnswer: 182078556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**4 - 69726*o**3 + 405142920*o**2 + 69726*o - 405142923 = 0. Calculate o.\nAnswer: -1, 1, 11621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 12:59 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {p: 1, r: 2, q: 1, s: 2, e: 1, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30624*b**3 - 131*b + 296*b - 165*b.\nAnswer: 30624*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 38 - 120 - 47 = -m - o, -3*m + o - 125 = 0 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152.12 + 152.1. Put 5, -4\/3, d, -38 in ascending order.\nAnswer: -38, -4\/3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 540*r**3 + 524*r**3 + 5*r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 152 = -172. Suppose 4*f - u = -k + f, f = k - 46. Suppose 84 = 5*d - 0*d + 2*o, 2*d = 4*o + k. What is the greatest common factor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p + 57687 = 56907 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 w when three letters picked without replacement from cfayywyfyywwwf?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.155 and -167187?\nAnswer: 167184.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -1747*z**2\/2 - 30*z + 5. Is g(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 + 2*a**4 + a**2 + 28 + 37 - 2*a + 4*a to r*a**4 + w*a**3 + q + d*a + c*a**2 and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.21? (a) -2\/7 (b) -0.3 (c) -2\/3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + 2*p**4 + p**3 + (4*p**2 + p**3 - 4*p**2)*(1 - 1 - 5*p).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 25 = 2*j, -15 = -3*g + j + 4. Suppose t + 3*c - g = c, t - c - 1 = 0. Solve 0*s - t = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4094 - -4154. What is the remainder when 592 is divided by f?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r**2. Let u be b(1). Factor 2*z - 2*z**3 - 1 + 4*z**2 - 3*z**4 + 8*z**2 - u*z**2.\nAnswer: -(z - 1)*(z + 1)**2*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -224*r + 20. Let f be g(1). Let k = f - -586. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10936.796 and -77.\nAnswer: -842133.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 5*z**2 - z. Let v be d(3). Suppose -v = -5*r, -3 = -j + 4*r - 9. Solve l + l = -j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -25*o - 29. Let m(z) = 13*z + 14. Let k(q) = -4*b(q) - 7*m(q). Let y be k(3). What is the greatest common divisor of 36 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/7*(-231)\/(-198).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6232650287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 9*b + 13. Let g be a(10). Suppose 3*p = 2*y + y + 45, -g*p + 5*y = -35. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 8*z - 2. What is j(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/22*3157\/1148)\/((-5)\/20)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -711*o + 1871 = 13958 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -30?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 1463024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/5 (b) 315 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650798 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.652 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 220238133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, t: 1, j: 2}. Give prob of picking 1 j and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1073 and -120.76.\nAnswer: 133.717548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:35 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 1:44 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 325724 (base 9) to base 16\nAnswer: 2f7c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, g: 2, r: 3, j: 1, y: 6}. What is prob of picking 4 y?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 34*c**2 + 30*c - 175. Let y be a(-35). Is -3\/4 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -135, -137, -137, -135, -131, -125?\n\"Answer: w**2 - 5*w - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64329240 divided by 16082310?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183 - -309. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8068 - 782929.749?\nAnswer: -782926.9422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 100873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8144.829094 - 0.933\nAnswer: -8145.762094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 + 16. Suppose 29 = 10*o + 109. Let r = -8 + o. Let c(l) = -l**2 - 5. What is r*c(w) - 5*n(w)?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(2\/11)\/s*s)\/s*s**4*s)\/((s*s**(-1\/3)*s)\/s)**(-50))**17)**(-41) assuming s is positive.\nAnswer: s**(-885887\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 863*w - 523. List the prime factors of o(16).\nAnswer: 5, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l + 24*l + 26*l - 70*l - 6609*l**2.\nAnswer: -6609*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799677 is divided by 20484.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -24. Suppose -g*n + 3*o = -31 - 5, 0 = -n + 4*o + 28. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 5. Let y(j) = -2*j + 5. Give -7*u(k) - 6*y(k).\nAnswer: -2*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g. Let q be (-2 - 6\/(-4))*-6. Let s(j) = -4*j**2 - j**2 - 6*j**2 - q*j**2. Determine s(w(h)).\nAnswer: -56*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -420302*a**2 + a + 20548.\nAnswer: -840604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*t - 188*t + 443*t - 940 = 0 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 60.50917?\nAnswer: 60.40917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 63755 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/4 (b) -6\/25 (c) 5 (d) -1670\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 397582487 to the power of 1\/2, to the nearest integer?\nAnswer: 19939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*n - 13*n - g - 2, 0 = -94*n + 5*g - 79 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 35326 - 8380 = 4*m, -m = 4*q - 53864. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27366897 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 491 - 480. Calculate the remainder when 174 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1199817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4222468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**3\/3 - 2*q - 2. Suppose 6*a - 43 - 53 = 0. Let m(i) = -6*i + a*i - 8*i. Determine v(m(s)).\nAnswer: -4*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68.8 - 65.8. Sort -1\/5, 21, h in increasing order.\nAnswer: -1\/5, h, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*v - 1480 = -186*v. Let z = v - -301. Solve 4*w + 5*y + 0 = 2, 0 = -w - z*y - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -498035, -498026, -498017, -498008, -497999?\nAnswer: -497990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-58)\/(-7) - -1 - 6\/21 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7185734291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 + 12538188\/24. Suppose n + 269924 = -d. Let k = -31792349 - d. Round k to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3126873.\nAnswer: 3, 23, 45317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 2:46 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**5 + 9*j**4 - 6*j**3 - 18*j**2 + 3*j + 9 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11612*x + 23221. Calculate p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 57171, 114348, 171525, 228702?\n\"Answer: 57177*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**2 - 20*y + 98. Let p(m) = m**2 - 4*m + 19. Let i(r) = -11*p(r) + 2*z(r). Give i(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610 - 646 = 9*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 12348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 + -80. Solve -u*q = 4*d + 13, 4*q = 5*q + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -48*l - 78. Give s(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/(-50) - 1014\/(-15). Let z = 102 - q. Are 36 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 1, 1\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6c52 (base 13) to base 10\nAnswer: -15277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7089 and 2499.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 85. Suppose 2*y - 197 = -4*k + 7*y, -5*k + 241 = -y. Suppose -105 = k*i - c*i. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + g - 17 - 1 = 0, l - 13 = 4*g. Let b = 10 + l. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 14) to base 7\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58062169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5587870*g**5 - 16*g**2 + 22875 wrt g.\nAnswer: 335272200*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**4\/7 + 16*z**3\/7 - 96*z**2\/7 + 256*z\/7 - 3. Factor r(g).\nAnswer: -4*(g - 4)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288997 at most as big as 1288999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s = -0*s - 117. Suppose n = 4*n - 6. Suppose -s = -n*l + 37. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + 2 + (-11 - -13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2565\/7 - -367. Let p = -2.9 - -2.5. What is the nearest to -0.1 in -1\/4, f, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 48, -2, 0.1 in ascending order.\nAnswer: -2, 0.1, 5\/3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-18) + 1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1 - -13 - (0 - -3) - -7) + 68.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 4:53 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 41*q + 2. Let v(d) = 83*d + 5. Let w(f) = 7*m(f) - 3*v(f). Is w(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5485.\nAnswer: 5, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 16*t + 495 = 0. Let n be (0 - 1098\/t)\/(12\/15). Are -30 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 2*l**2 - 3*l - 5. Let s(f) = 6*f**3 - 5*f**2 + 8*f + 14. Calculate 3*s(p) + 8*y(p).\nAnswer: 2*p**3 + p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/1 + 75\/21. Let b = -3.438 + 0.438. What is the second smallest value in b, -0.01, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 o, 1 z, and 1 s when four letters picked without replacement from zzzzosjjzzzj.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-66))\/((-45)\/263835*-39)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*p - 44, 4*p - 2*p - 44 = 2*v. Calculate the greatest common divisor of p and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 11*n**2 + 31*n - 79. Give o(9).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/5 + 49*p**4\/5 - 19*p**3 + 47*p**2\/5 = 0. Calculate p.\nAnswer: 0, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/76*57*(14\/(-70))\/((-18)\/(-15)).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -0.87 (c) -5 (d) 610\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1343 - 863*n + 1341 - 344*n)*(3*n - 3*n + 3*n) to the form k*n + y + t*n**2 and give t.\nAnswer: -3621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/((-96)\/(-36)))\/(-9))\/(3\/108*-183)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*l + 178*l - 91*l + 35 = 0. What is the remainder when l is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from tfmjhmfj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/4*-26*1550\/31?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 4*h + 4*h)*(1 + 3 + 2)*(-5 - 13 - 1).\nAnswer: -228*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -24782*i**2 + 4*i + i**3 + 24762*i**2 - 66 - 14*i + 0*i**3. What is the least common multiple of 10 and w(21)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 8*y**2 - 9*y. Let m be s(9). Let r = m - -13. Calculate the remainder when 38 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 43*d + 17. Let q(s) = 131*s + 60. Let a(x) = 2*q(x) - 7*y(x). Let h(k) = k. Give h(a(c)).\nAnswer: -39*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4 + (-6)\/12. Let w = -318\/29 - -12868\/1073. Is w at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117648 and 25800.\nAnswer: 2941200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/50 and -51\/110.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3 - 813*u**2 - 6696*u = 0. Calculate u.\nAnswer: -8, 0, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.5, -5\/2, 0.0347?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -334*g**3 + 66*g**2 + 12797*g.\nAnswer: -2004*g + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 4*x - 2. Let g(m) = -m**3 - 3*m**2 + 4*m. Let v be g(-4). Suppose 4*r + 0 - 12 = v. Is 14 a factor of h(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*c**2 - 4*c**2 - 12*c**2 + (0*c + 2*c - c)*(12 - 6*c - 12))*(-4*c + c**2 + 4*c) to k*c**2 + m*c + x*c**3 + r*c**4 + d and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267774 = -0*t - 6*t. Suppose -45*o + 32*o + t = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.9 from -16.636.\nAnswer: -27.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4 + (3 - 6 - 3)*(-1 + 2 - 3))*(-3*l**3 + 7*l**3 + 5*l**3).\nAnswer: 117*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -4. Suppose -36 = -p*w + w. Let f = -1 + w. Calculate the remainder when 66 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4432684417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o - 19*o + 12*o. Let d(u) = u + 4. Let m(i) = -d(i) + 2*f(i). Determine m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(7) + 1)*4 + -3 + -1*(1*(sqrt(7) + 2))**2)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1092 and (-2 - 260\/(-28))*(-80)\/(-180).\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 493 - 12199620339.8\nAnswer: -12199619846.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -5\/189, -1.4, -1\/5, 4?\nAnswer: -5\/189","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -251475 (base 15) in base 9?\nAnswer: -3306512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 = 4*g + 414*d - 473*d, 3*d + 9 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25170597 divided by -123.\nAnswer: -204639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + (-35)\/(-45))*3. Which is the nearest to -2? (a) -9 (b) 2\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + w + 4*w**2 + 8*w**2.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -18610 to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*f + 7, 4*p = -4*f + 22 - 2. Suppose 3*x + 4*d - 25 = -17, -p*x + 11 = d. Solve 0 = -3*h - 3*b + 13 - x, 0 = -2*h - 3*b + 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -404279*n + 404279*n - 2 - 1100*n**2 to the form p*n + g*n**2 + s and give g.\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccic when four letters picked without replacement from ifccc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -491 - -981\/2. Suppose -j - 5 = n - 5*j, n = j - 5. Which is the second smallest value? (a) n (b) -2 (c) v (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4855, 4596, 4349, 4114, 3891?\nAnswer: 3680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 2065?\nAnswer: 39235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 8*f + f - 7*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 - 2*h - 1. Let r be o(-1). Solve -s + 0*s - 1 = 0, r*j = 2*s + 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -939, -7198, -13457?\n\"Answer: -6259*m + 5320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -172708 take away 0.6?\nAnswer: -172708.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w - w - 2*w)*(8*w - 21 + 21).\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1584 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15172\/705 - -124\/141. Sort -3, -1\/5, k, -1 in increasing order.\nAnswer: -3, -1, -1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 7, -5, -33, -83?\n\"Answer: -x**3 + x**2 + 2*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s**3 + 2*s**2 + s. Determine k(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -8 + 0*j**5 + 1\/3*j**3 + 0*j**2 + 0*j - 2\/3*j**6 + 0*j**4. What is the third derivative of l(z) wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 7. Let v be 48\/(-36)*(-6)\/2. Suppose 3*z = 4*b - 66, 3*z = 4*z + v*b + 6. Let m be z\/(-15)*(5 - 0). Calculate a(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**6\/144 + 7*j**4\/8 - 12*j**2. Let y(k) be the second derivative of g(k). Let u(d) = 5*d. Give y(u(c)).\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) + 22\/5. Let u(f) = -1 - h*f**2 + 2*f**2 + 3*f**2. Let l be 6\/(-18) + (-16)\/(-3). Let j(d) = -2*d**3 + 5*d**2 + d - 5. What is l*u(c) - j(c)?\nAnswer: 2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**4\/12 - 5*r**3 + 2*r**2 - 63. Let h(j) be the third derivative of -j**4\/24 + 2*j**2. Determine f(h(d)).\nAnswer: 2*d - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from iyyyyyyyyyyyiyyyyy?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27387 is divided by 27301.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17904 - 3?\nAnswer: -17907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:01 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -35, -100, -201, -356, -583, -900, -1325?\n\"Answer: -3*j**3 - 44*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -184*b**2. Let i(x) = -2325*x**2. Determine i(z(o)).\nAnswer: -78715200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.149132 to 1 decimal place.\nAnswer: -51.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 - 221. Let v = z + 147. Solve -p = -4, 0 = v*o - 3*p + 9 + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 7*h**2 + 3*h + 16. Let z be l(6). Put 1, z, -1\/3, 2\/5 in decreasing order.\nAnswer: 1, 2\/5, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7478 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -254375.2.\nAnswer: -76312.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 151 - -112431?\nAnswer: 112612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1007103976 and 4776?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 113, -2, -1 in ascending order.\nAnswer: -3, -2, -1, 5, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1270 divided by -4.\nAnswer: -635\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 11*a**2 + 9*a - 8. Let x(r) = r**3 + 11*r**2 + 3*r + 23. Let f = 51 + -51. Let d be (-1)\/((-2)\/(-22) - f). Let q be x(d). Give k(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1081026 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 + 26*n**2 + 11*n - 22. Let l be p(-11). Find z, given that -35*z - 6*z**2 - l + 320 - 10*z = 0.\nAnswer: -7, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 3*i - 2. What is the lowest common multiple of y(-3) and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 18. Suppose 4*m - 3 - h = 0. Let v(w) = -w**3 + 6*w**2 - 4*w + 2. Give v(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-5) + ((-4)\/5)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31090 is divided by 691.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/11, -2\/553.\nAnswer: -2\/11, -2\/553, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/20 + 4\/10. Suppose -100 = k - 64. Let v be s\/((-2)\/(-40)*k\/27). Calculate the highest common divisor of 75 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*m - 116 = -2*x, 308 = 5*x + m. Factor -x*l - 15 - 6 - 34*l**2 + 1 - 26*l**3 - 32*l**2 - 2*l**4.\nAnswer: -2*(l + 1)**3*(l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 2\/19 (c) -2\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 521, 802, 1107, 1442, 1813, 2226, 2687?\nAnswer: 3202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1858896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*b**3*j - 5*b**3 - 21*b**2*j - 13*b*j - 2*b - 96*j - 1 wrt b.\nAnswer: 138*b*j - 30*b - 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/2)\/(-1*(-3)\/(-6)). Suppose 0 = 10*x + w*x + 1335. Let d = 99 + x. Calculate the highest common divisor of 30 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38 - -4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 287?\nAnswer: 287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 3*p - 5*f, -p + 5*f + 50 = -0*p. Suppose -6*x = -p - 59. Suppose -267 = -4*i - x. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/15? (a) -2 (b) 5 (c) 0 (d) 21\/22 (e) -6\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/29 (b) -0.03 (c) -0.5 (d) -4 (e) 1\/7 (f) 481.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 - 13*t + 17*t - 3*t**2)*((2 + 4 - 1)*(-4 + 4 - 2*t) - 7*t + 2*t - 6*t) to d*t**2 + n + r*t + b*t**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**6\/30 - 2*n**5\/15 + 4*n**2. Find h, given that s(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwshz. Give prob of sequence qw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*x - 88*x + 247*x = 926 + 97 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2297 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k + 19*k + 15*k + 12*k - 8*k - 60*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 38*s. Let y be a(1). Suppose -217 - y = -5*f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(80)*3)\/sqrt(10) + (sqrt(32)\/(sqrt(32)\/sqrt(8)*-3))**2.\nAnswer: -18*sqrt(2) + 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (1 + -1*sqrt(19)))**2 - (3 + sqrt(19)*-2)) + 5.\nAnswer: -2*sqrt(19) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, 5, 15, 29, 47, 69, 95?\n\"Answer: 2*f**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*s*w*x*y - s*x*y**2 + 2*s*y**3 - w**2*x*y**3 + 6*w**2*x*y**2 + 30*w**2*x*y + 63651*w**2*y**3 wrt y?\nAnswer: 12*s - 6*w**2*x + 381906*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1067 + -2?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*f + f. Factor -17*m + 2*m**3 + 2*m + f*m**4 + 3*m + 7*m**3.\nAnswer: 3*m*(m - 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 582*k - 2850. Let w be r(5). Solve -13*z + w = -44 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + 3*w**2 + 111*w + 1597. What is the tens digit of s(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-6 + 4 - 2)) + (-21 - -3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcl when three letters picked without replacement from crururlrrulrujr.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) 0.075 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 5:57 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480622 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-581 - 556*u + 1097*u - 542*u)*(-5*u + 4*u + 3*u) + (-3 + 3 - 1)*(-3*u**2 + 2*u**2 + 2*u**2) to y + g*u + c*u**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4 + 84 = 0. Let g be (v\/(-6) + -2)*3. Suppose 0 = -g*l + 22. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y - 14*y = -0*y + 160 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -15 (c) -1\/5 (d) 0.5 (e) 4325\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c (base 13) to base 12.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2068593 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v + 2. Let s be -3 + -2 + 2 + -2. Is 6 a factor of l(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16\/48 + (-34)\/(-6) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.136 * -0.03729\nAnswer: -0.00507144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + r. Let k(i) = 1 - 190133*i + 190131*i + 0 + 4 + 2*i**2. Determine -d(j) + k(j).\nAnswer: j**2 - 3*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150\/31 + 119281\/24645. Let l = k - -1111\/1590. Calculate the common denominator of l and -115\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 + 65396*i**2\/3 + 261608*i\/3 + 261616\/3.\nAnswer: -2*(i - 32702)*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 252.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329327257?\nAnswer: 7, 953, 49367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 467103 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2836 is divided by 939.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*c + 3*c. Sort c, -4, 2 in ascending order.\nAnswer: -4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*p + 4. Find the common denominator of (-55)\/p + (-10)\/35 and -49\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5765633?\nAnswer: 151, 38183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 623741.828+5372\nAnswer: 629113.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.03996742 + -20.04. What is w rounded to 6 dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 29106*k**2 - 8*k.\nAnswer: 29106*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.61534 to two dps.\nAnswer: -51.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3268799 is divided by 83.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2955 + -2955. Solve k = -20*z + 45 - 45 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7951*r**3 + 3149 wrt r?\nAnswer: -23853*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n. Let b(o) = -49*o - 11*o - 118*o - 12*o + 11*o. Give b(l(c)).\nAnswer: 358*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*v + 2. Suppose -v*n + 4 = 2*n. Let z = n + 5. Calculate the remainder when 23 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 1132 = 1174. Let a = -10 + 10. Suppose -z + 7 = -a. What is the closest to t in -5, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40369 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a + 3 = 0. Let j(h) = h**2 + h - 1. Let g(b) be the first derivative of -8*b**3\/3 - 5*b**2\/2 + 4*b - 36. Give a*g(o) - 6*j(o).\nAnswer: 2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1.5. Let y be 18\/15*35\/49. Which is the closest to -2? (a) d (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 30*n + 168.\nAnswer: -3*(n - 14)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 9*b**2 + 6*b - 13\/2*b**3 + 0. Does 14 divide p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 11955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-1))\/(18\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/16 and ((-249)\/(-2))\/(168\/(-7)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 4817283.2.\nAnswer: 1445184.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 6. What is g(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2574 and 115\/182?\nAnswer: 18018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137171, 137173, 137175, 137177, 137179, 137181?\nAnswer: 137183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 - 40. Let a = u - 27. What is the second smallest value in 1, a, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242045?\nAnswer: 3, 5, 7, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -15024\/2209?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14422, -24430, -34438?\nAnswer: -44446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Let y = -651 + 657. Suppose -177 = -y*n - 207. Let c(p) = -9*p**2 - 3*p - 4. Let a(l) = -5*l**2 - 2*l - 2. Give g*c(u) + n*a(u).\nAnswer: -2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -161*g - 52. Let l be u(-2). Let b = l + -271. Let j(c) = -23*c**3 + c**2 - 1. Calculate j(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0065 + -47.0935. Let u = h + 45.1. Which is the closest to -0.1? (a) -0.3 (b) -5\/2 (c) 5 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.43059482 rounded to 1 dp?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4296581*0.32.\nAnswer: -1374905.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 491*i**2 + i + 258. Let v(f) = -f**2 - f - 9. Let h(m) = -t(m) - v(m). Differentiate h(y) with respect to y.\nAnswer: -980*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12*n. Let a(k) = -3 - 2*k + 1 + 2. Determine a(l(b)).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 92 + 116 = -5*n, -2*n + 3*g - 14 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 97 = -37 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/8)*q)\/q)\/q*q**(-2\/9)*(q**0*q)\/(q\/(q\/((q**6\/q)\/q))) assuming q is positive.\nAnswer: q**(-313\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 267819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 279 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 5*i = 0, -4*h + 7*i + 32 = 10*i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-698)\/182) + (-148)\/(-481) + -8.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 167 and 128291.\nAnswer: 21424597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007239 to four dps.\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62793*a**2*g - 2*a + 27758*g - 2 wrt a.\nAnswer: -125586*a*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -100 and -103 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbi. Give prob of sequence bm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:38 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 1\/30*s**6 + 0*s**5 + 1\/70*s**7 + 0*s - 75*s**2 + 21\/8*s**4 - 2 + 0*s**3. Find the second derivative of c(f) wrt f.\nAnswer: 36*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -701*h - 705 + 1396 - 692 + (2 - 2 + 2)*(4 - 2*h - 4).\nAnswer: -705*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (175\/300)\/(133\/(-285)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u**(-9\/7)\/u)\/u))**38)**(-1\/26) assuming u is positive.\nAnswer: u**(-570\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -179*m**4\/2 - 1049*m**3\/6 + 2*m + 2219. Find the second derivative of f(u) wrt u.\nAnswer: -2148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by -2815998.\nAnswer: -59\/2815998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 10*a**2 - 5*a + 3. Give u(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03349 - -0.033472956. Round q to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1537 is divided by 118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 3:22 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3629 and 5521619?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2331 + -34927\/15. Let a = -11\/5 + m. Let s = -1 + -2. What is the nearest to a in 3, s, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 964708 times -2.18?\nAnswer: -2103063.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mzzzuunuwuznzzzmw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/8 - (-48139)\/184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 9\/8*s**2 - 9\/4 + 21\/8*s = 0.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -d01bb1?\nAnswer: d01bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 12:28 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9324872*r**3 + 16264228 with respect to r.\nAnswer: -27974616*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142811 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 54. Let k(w) = -2*w**3 - 6*w**2 + 11*w - 23. Let o be k(-7). Let g = o - t. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -14*f. Let x(j) be the third derivative of 7*j**5\/12 - 882*j**2 - 1. What is x(q(y))?\nAnswer: 6860*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + 0*y)*(3*y**4 - 5*y**4 - y**4 + (2*y - 3*y - y)*(-y**3 + 0*y**3 + 2*y**3) + 0*y**4 - 2*y**4 - y**4).\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 1, r: 5, q: 4, p: 1, g: 7}. Give prob of sequence qq.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0*u + 3*x - 5, -2*u - 2*x = -6. Suppose 0 = -2*h - 3*h + 20. What is the remainder when u is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7933704043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 623 and 1691.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**3\/3 - 15*c - 99. Let a(l) = -6978*l. Calculate k(a(g)).\nAnswer: -13956*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 - -69.7. Let d = 0.16 + 0.04. What is the nearest to d in -1\/5, u, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37035 - 0.3.\nAnswer: -37035.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195364 is divided by 1641.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 13. Suppose -5*f - 20 = -4*u, 10 = -u + 3*u - f. Solve -u*v = -r*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Suppose 0 = -5*c - 0 - 5. Let f be 320\/(-300) + 4\/6. Put c, f, v in decreasing order.\nAnswer: v, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57798 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012294 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.2, -1\/19, 90?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 428 + -239. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyl when three letters picked without replacement from plylkfrllrpr?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9112 divide 4907167272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - p - 11*z + 18 = 0, 3774*z - 7 = 3*p + 3769*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 5 = -m, -82*m + 10 = -5*r - 80*m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -504 + 7*b**3 + 3*b**3 - 17*b**2 + 506 + 3*b**3 to h*b**3 + x*b + o + z*b**2 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.3 + -3. Let f = p - 0.299896. What is f rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-15) - (-1)\/2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202112011 (base 3) in base 12?\nAnswer: 18071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5819, -11636, -17453, -23270?\nAnswer: -29087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 6:51 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/432)\/((-1)\/(-4)). Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(119) - -5*-2*sqrt(119) - (1*(sqrt(119) - (sqrt(119) + sqrt(119)*2 + sqrt(119))) + sqrt(119)))\/(-2*sqrt(112)\/sqrt(4)).\nAnswer: 5 + 7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t - 16. Let k(s) = s - 1. Let m(z) = -10*k(z) - n(z). Let f be (-328)\/(-32) + (-40)\/32. Is 2 a factor of m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -297.3 * 25\nAnswer: -7432.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101101101110 (base 2) in base 9?\nAnswer: 22774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003 (base 8) to base 16.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 764397817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -355*k**4\/12 + 541*k**3\/6 - 27*k**2 + 12. Find the first derivative of w(y) wrt y.\nAnswer: -710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + ((-251753)\/(-122247) - (-1)\/17) and -64\/3.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1, -10, -2, -0.07, -6?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -3.4. Let l be 17\/(-8) + -4*(-6)\/12. Which is the third biggest value? (a) -2 (b) j (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c - 4 = 0. Let k be 116\/10 - c\/10. Suppose -5*x + k = -3*x. What is the greatest common factor of x and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78228 and 314634?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 298\/5 + -1693\/30. Find the common denominator of -54\/7 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**(-1\/16)*j)\/j))**(-42)*(j**(-4))**36 assuming j is positive.\nAnswer: j**(-1173\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (28\/42 + 14\/(-12))*-10. What is the third derivative of 12*z**6 - 1 - 5*z**6 + 4*z**6 - 5*z**6 + 2*z**s - 10*z**2 wrt z?\nAnswer: 720*z**3 + 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*o - 649, -230 - 92 = 2*h + 2*o. Let x = h - -161. What is the smallest common multiple of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732506 is divided by 29299.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 518488880 to the power of 1\/2, to the nearest integer?\nAnswer: 22770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8585)\/3030*15\/(-17))\/((-175)\/(-12)).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38839763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 162577 + 162558 = 6*p - 3*p, 75 = -13*v - 107 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33108 + 11?\nAnswer: 33119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 3*q + 4*q)*(-q - q + 3*q + (-q - q + 4*q)*(-2 - 2 + 3) - 133*q - 144*q + 213*q).\nAnswer: 130*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -23. Let k = 179\/3 + -1405\/24. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -378 by -54.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.4 in -0.01, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**9)\/z)\/z)**(-4\/5)*z**21*z**4\/z assuming z is positive.\nAnswer: z**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41940 to the power of 1\/2, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2596064, -2596063, -2596062, -2596061, -2596060, -2596059?\nAnswer: -2596058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-16) + 0)*(-2688)\/(-336).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 5*w**4\/12 + 175*w**3\/6 + 165*w**2 + 2272*w. Factor s(m).\nAnswer: 5*(m + 2)*(m + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1880082.\nAnswer: 2, 3, 149, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -13*o**4\/4 + 171*o**2\/2 - 206. What is the second derivative of t(g) wrt g?\nAnswer: -78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18135*k - 134280 = 13659*k for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + j + 3 - 1)*(3*j**3 - j**3 - j**3) + (-9*j**4 + 17*j**4 + 11*j**4)*(3 + 7 - 5).\nAnswer: 96*j**4 + 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -0.1. Let m = o + 0.1. Let z be 2\/((-5)\/2 - -2). Sort m, z, 1\/6.\nAnswer: z, 1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-4) + 2\/(-2). Let u = -0.5 - 1.5. Let q = -1.7 - u. Which is the smallest value? (a) q (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**8\/1344 - r**7\/180 + 7*r**4\/6 - r. Let j(g) be the third derivative of o(g). Find the third derivative of j(l) wrt l.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.89064 times 91\nAnswer: 718.04824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215222 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (-5 + sqrt(13) + -1 + sqrt(13) + sqrt(13)))**2 - (-5 + sqrt(13) + 1).\nAnswer: -25*sqrt(13) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**0*j*j*j\/(j\/(j**(-7)\/j)))\/(j**(-1))**(2\/9))**(-8\/3))**6 assuming j is positive.\nAnswer: j**(688\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2866 or -2863?\nAnswer: -2866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5460, 5462, 5464?\n\"Answer: 2*t + 5458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*o - 11 = 0, o + 17 = 5*h - 7. Suppose -2*x - h*z = -39 + 16, 5*z + 34 = x. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117394230 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -340, -357, -386, -427, -480?\n\"Answer: -6*p**2 + p - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, -1, -52, 5 in ascending order.\nAnswer: -52, -8, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {n: 2, v: 2, z: 2, d: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufyf when four letters picked without replacement from uyfaaffyaufazafu.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (4 - (4 - 26)) + (-1 - -58).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -170, -282, -446, -668, -954, -1310?\nAnswer: -1742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -6.3. Let h = 25 - 25. Let s = y - h. What is the smallest value in 2\/15, s, 1\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 28 - 34)*(0*p**2 + 0*p**2 - p**3).\nAnswer: 41*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60380, 60332, 60284, 60236, 60188?\nAnswer: 60140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 minutes after 11:59 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -988758*f**2*s**3 - 48479*f**2*s - 66*f*s**4 + 1065*f*s wrt s.\nAnswer: -5932548*f**2*s - 792*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from bbblklllbbklblkkbl.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2880 - 364 = 320*h - 10445 - 8159 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 3, y: 5, r: 9}. What is prob of picking 1 a, 1 r, and 1 y?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6164.\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let p(j) = 11*j - 5. Let o(w) = p(w) + 3*q(w). Let i(y) = -13*y + 4. Let c(b) = 4*i(b) + 3*o(b). Give c(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 1, 11, 383 in increasing order.\nAnswer: 1, 2, 3, 11, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 704 and 1024?\nAnswer: 11264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*(-561)\/(-2754)*72\/22?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-8) - 48875\/(-92).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = -10*v - 701. Let w be (v\/(-54))\/((-1)\/(-3)). Solve 3*u - w*u - 12 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 1\/12*j**4 - 3\/2*j**3 - 218*j**2 + 0*j + 0. Determine i(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 536*v - 6 = 537*v, -4*s + 3*v - 12 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Let k(o) be the first derivative of 0*o**2 + m*o**3 + 3\/4*o**4 + 2*o - 2. Find the first derivative of k(t) wrt t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 468 - 454. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, 0, -1, -1.8, 0.1 in increasing order.\nAnswer: -1.8, -1, 0, 0.1, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4685 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*f - 65, 0 = 5*p - 4*p + 5*f - 15. Let t be ((-1)\/7)\/(p\/(-210)). Find r, given that 33\/4*r + 9\/2 + 9\/2*r**2 + t*r**3 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -42*h - 1. Let t(m) = 12*m. Determine t(d(f)).\nAnswer: -504*f - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 - (-12 + 46) - 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -32\/9 + 110\/9*u**2 - 14\/9*u**3 - 208\/9*u = 0.\nAnswer: -1\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.876 and 361.\nAnswer: -316.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4}. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*d + 292*d + 1683 = 0. What is the remainder when 443 is divided by d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7350)\/24 - 2)*(-566)\/(-258). Let b = 279\/43 + z. Let p = b + 657. Find the common denominator of p and 27\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1204 + 1096 - 1589)*(-b - 8 + 0*b + 2*b).\nAnswer: 711*b - 5688","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -123793*p + 495443. Give s(4).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 257628 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z. Let x be (z + -1)*18\/6. Suppose 0 = -4*p, 0 = -2*q - 2*p + 7 - 1. Put x, q, -1 in decreasing order.\nAnswer: q, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3226 + 16.6774. Let w = 13 + -14. Put 0.04, g, w in decreasing order.\nAnswer: g, 0.04, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 17 + 13. Let k be ((-9)\/48)\/(b\/4). Let z be (-4)\/(-6)*(-3)\/(-4). What is the closest to 0.1 in k, -1, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5250235 is divided by 8347?\nAnswer: 8319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from koooocwk. Give prob of sequence ock.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 229, 478, 729, 982?\n\"Answer: k**2 + 246*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 10. Let v(x) = -11*x + 21. Suppose s - b = 3*b - 3, 5*s + b - 48 = 0. Let h(c) = s*t(c) + 4*v(c). Let z(a) = 2*a. Determine h(z(p)).\nAnswer: 2*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/223, 0.2, 0, -1, 4\/3, -81?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (6 - 16 - 17) + -6?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.5 in -0.3, 1\/9, 4, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/4 in 6, 0.5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*s + 27, 528 = -4*z - 3*s + 542. What is the second biggest value in -1\/3, z, -0.271?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 18734*o. Let v(g) = -291*g. Give v(c(f)).\nAnswer: -5451594*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, 0, 29, 0.1, -0.19 in ascending order.\nAnswer: -1.6, -0.19, 0, 0.1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12616 and 172064.\nAnswer: 14281312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txxt when four letters picked without replacement from ksxtxt?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*v**2 - 21*v**2 + 44*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -2e246e?\nAnswer: 2e246d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*c - 38*c + 5*c + 180 + 5*c**2 = 0 for c.\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*b - 3613 = 5*b, 3*x - 2726 = -b. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from sszssssszzsszs.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-30))\/(1\/2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**4\/6 + p**3\/2 + 3*p**2\/2 - 5*p. Suppose -35 = -5*h - 5*l, 3*h - 4*h = -2*l - 7. Suppose -4*o = h + 1. What is a(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27908176 divided by 2?\nAnswer: 13954088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181052 is divided by 30143?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 84, 1, -3, 17 in decreasing order.\nAnswer: 84, 17, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 (base 12) in base 11?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1671 - -988. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmt when three letters picked without replacement from {t: 6, z: 1, w: 1, m: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**5 - 605*b**4 + 1891*b wrt b.\nAnswer: 40*b**3 - 7260*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/8*2\/(-26)*12\/(-3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q. What is the derivative of 5*j - 3 + q - j + 6 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/5987145 and 149\/2394858?\nAnswer: 11974290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*s = -279*s - 456. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -0.9. Let g = -0.0888 - -0.0188. Are x and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-10) + 48\/10. Suppose -k - 13 = 3*s. Let x be (-32)\/(-24)*s\/(-16). Is x smaller than -2\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooyyyyy. Give prob of sequence oyoo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74*j**2 + 96*j**2 + 293*j**2 - j**2 + 0 + 0 + (-j + 4*j - 2*j)*(-2*j + 0 + 0).\nAnswer: 312*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00118239316 rounded to 6 dps?\nAnswer: 0.001182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1629879, -1629877, -1629873, -1629867, -1629859, -1629849, -1629837?\n\"Answer: j**2 - j - 1629879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 863 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/30912 and -89\/77280?\nAnswer: 154560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 15. Let i be (t\/3)\/((-1)\/21). Is (-2)\/i + (-264)\/(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27992755 or 419891312\/15?\nAnswer: 27992755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 455.73 - 455.73. Let b = 2.878 - -0.072. Let z = 0.05 + b. Put -0.5, z, v, -2 in decreasing order.\nAnswer: z, v, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 447803 and -0.4.\nAnswer: -179121.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdh when three letters picked without replacement from {i: 4, t: 4, h: 1, f: 2, d: 2, g: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, j: 2, w: 4, q: 1, v: 1, h: 1}. Give prob of sequence vwj.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t - 5*r - 34 = 0, -5*t = 4*r + 119. Let f be (-40)\/(-1) - (6 + -5). Let b = f + t. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245642 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2015)\/130 + (0 - -15). Let m = 1 + 0. What is the nearest to w in -1\/3, -1\/5, m, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 525 in 5, -2\/5, 2, 45\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 6*h - 6. Let m be f(-4). Suppose 4*l + w + 8618273 = -3341723, m*l + w + 5979996 = 0. What is l rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n**2. Let r(p) = 15*p**2 + 2*p - 2. Let k(w) = 64*w**2 + 8*w - 9. Let q(j) = 2*k(j) - 9*r(j). What is q(s(c))?\nAnswer: -448*c**4 - 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37750495*g**3 - 2*g**2 + 71713473*g?\nAnswer: 226502970*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27964 is divided by 74.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1238*k**2 + 4. Let o(f) = 2*f**2 + 8*f. Give o(i(u)).\nAnswer: 3065288*u**4 - 29712*u**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/(247\/114 + -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*n*r**2 + 4*a*n*r + 5*a*r**3 - 16*n*r**3 + 17*n*r**2 wrt r?\nAnswer: 30*a - 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r = -4. Let i be r + -2 - (0 + 0). Solve i*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z**2 + 9*z - 8. Let l(r) = -3*r**2 + r + 1. Let h(n) = 3*l(n) + m(n). Give h(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 6:34 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12.45*-6\nAnswer: -74.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 5. Let j be x(-8). Let s(c) = 3*c - 4. Let n be s(j). Suppose 3*l + n*p = -0*l + 540, 2*l = -2*p + 364. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2516)\/(-476) - 4\/42*3. Solve -12*n + 11*n - d = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -392.9 and -7727.\nAnswer: 3035938.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 370, 537, 278, -629, -2406, -5275, -9458, -15177?\n\"Answer: -37*f**3 + 9*f**2 + 399*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368 and 100303?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2900*j - 6. Let y be a(8). Let r = y + -695659\/30. Find the common denominator of r and -23\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 392580322?\nAnswer: 3140642576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1395*j**2 - 93*j + 62. Let t(s) = 2*s**2 + 3*s - 2. Let v(f) = -d(f) - 31*t(f). Let b(g) = 3*g. Give v(b(m)).\nAnswer: -13113*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379 divided by 2.\nAnswer: -379\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 1211*g**4\/4 + 5*g**3\/3 - 11*g**2\/2 - 4545. What is the third derivative of j(b) wrt b?\nAnswer: 7266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/50 and -91\/68150?\nAnswer: 68150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -3846497?\nAnswer: -384649.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w**(-2)\/w))*w)**(-3\/8)\/(((w*w**(-2\/9)*w)\/w*w)\/w*w**2) assuming w is positive.\nAnswer: w**(-173\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*m**3 + 4\/5*m**2 + 7\/5*m - 2.\nAnswer: -(m - 5)*(m - 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -375 + 403. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13180997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**4\/4 - 3*h**3 + h + 4959. Let q = -13 + 4. What is l(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.804211cm?\nAnswer: 8.04211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*a - 5*a**2 + 57*a**2 + 23*a**2 wrt a.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1\/5 (b) 0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*w**4 + 439*w**3 - w**2 + 223600 wrt w.\nAnswer: 28*w**3 + 1317*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 6) in base 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60.57 + -60.5699994031. Round q to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 8, 5*k = 4*l - 89 + 125 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/5, 2644, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-n + n + n)*(64 + 23 - 54)*(3*n + 4*n - 5*n).\nAnswer: 132*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2802)\/63045)\/((4\/4)\/(-6)*-4)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*i + 7. Suppose i*a = 5*a. Suppose a = -2*b - 5*w - 8, -4*b - w + 15 = -5. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*p - 5*h, -h + 3*h = -2*p - 8. Sort -0.2, p, 3 in decreasing order.\nAnswer: 3, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 333333 (base 5) to base 2\nAnswer: 10110111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 10*v + 16)*(-v - 1 + 1) - 2*v**2 + v**2 - v**2 - 9*v**2 - 9*v**2 - 16*v**2 to s*v**2 + n*v + q and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**2 - 2*w - 4. Let m(b) = -b**2 + 2*b + 90. Let u be m(11). Let c(z) = -13*z**2 - 9*z - 17. Let h(o) = u*n(o) + 2*c(o). Determine h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 76 = 5*z + 4*m, 0 = -2*z + m - 23. Let x be 2 - -22*2\/z. Let p = x + 3\/7. Calculate the common denominator of p and -71\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:42 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 89\/2)*(-38)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 263988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -18*i**3 + i**2 + i + 1. Suppose -2*a + k + 679 = 3*a, a = -k + 131. Let z = a + -80. What is the remainder when z is divided by l(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116112 and 2952?\nAnswer: 348336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33.4 + 26.18. Round b to one dp.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, l: 2, f: 3, w: 4}. Give prob of sequence ff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 602*2.\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111001000 (base 2) to base 12.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t = -2, 0 = -3*s + 2*t + 37. Suppose -s = 3*g + 10*g. Are 41 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5193, 5115, 4993, 4833, 4641, 4423, 4185?\nAnswer: 3933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1771*o**3 + 16*o**5 + 1771*o**3 + (-o + o - o**4)*(-2*o - 4*o + 5*o).\nAnswer: 17*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 7*o**2\/2 - 2*o - 9. What are the prime factors of r(4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 - 7*x - 4. Let k be a(-7). Let c = 1778 + k. Let n(r) = 3*r**2 + 1676 - c. Let j(t) = -3*t**2. Give n(j(u)).\nAnswer: 27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1725 (base 10) to base 9.\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -12*a**3 - 25*a**2 - 3. Let v(d) = 4*d**2 - 1. Calculate u(r) + 6*v(r).\nAnswer: -12*r**3 - r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(28\/6 - 95\/19). Let j = 1.2 + -2.25. Let o = j - -0.05. Which is the nearest to v? (a) o (b) -0.4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 21358022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 a when three letters picked without replacement from aaattqaqtqattttaat?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 13, -5 in descending order.\nAnswer: 13, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -33*u**2 - 5*u - 5. Let h(q) = 17 + 16*q**2 - 3 + 3*q - 24 + 13. Give -5*h(p) - 3*j(p).\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubz when three letters picked without replacement from {u: 2, f: 1, z: 2, v: 4, b: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, g: 1, x: 1, b: 2}. Give prob of picking 2 b and 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16433.\nAnswer: 16433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23625 times -8?\nAnswer: 189000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 + 6\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 1954da?\nAnswer: -1954d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272 is divided by 254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 2*j + 15. What is the least common multiple of (6\/(-15))\/(-1) + 216\/10 and j?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 149599*q = -149597*q - 14, 7*a - 2*q + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 + -109. Suppose -412 = -2*m - 4*t - t, 0 = -m + b*t + 206. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12*-15*(-1028)\/91235?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27\/12)\/(3\/36). Suppose -r = 7*w - 230. Suppose 5*u - 1 = -5*f + w, f = -2*u + 7. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177852, 177850, 177846, 177840, 177832, 177822?\nAnswer: 177810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.24166 micrograms?\nAnswer: 0.00724166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 14*r**2 - 17*r - 5. Is q(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/452588 and 65\/252?\nAnswer: 28513044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -6*l**2 + 314236. Let q(o) be the second derivative of o**3\/6 + o. Calculate -i(a) - 8*q(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 140154751 and 2251.169?\nAnswer: 140152499.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8\/60*-1 + (-25256)\/(-1320)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -81267, -100248, -119229, -138210?\n\"Answer: -18981*b - 62286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4273*p**2 - 1386*p**2 - 1431*p**2 - 1429*p**2 - 3.\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 less than -0.074?\nAnswer: 8.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 4:24 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(240) + (sqrt(75)*-2 - sqrt(75))\/sqrt(5) + sqrt(15))\/((-4*4*sqrt(240))\/sqrt(5)).\nAnswer: -9*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwrrrwr. What is prob of picking 1 w and 1 r?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78012*u**2*z + 201577*z with respect to u.\nAnswer: -156024*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*-0.16\nAnswer: -0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 - 9*c - 34. Let x(m) = -4*m**2 + 8*m + 29. Let s(z) = -5*t(z) - 6*x(z). Give s(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 + 156 - 18*z - 481 + 158.\nAnswer: -18*z - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 0*u = -16. Is u*(919\/2 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 4:17 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38399311 + 6.\nAnswer: 38399317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 158*t**2 - 3384*t - 427. Determine q(-19).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + -4031353?\nAnswer: -4031376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 4:46 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 109995 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -226153 at least as big as -226213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y = 28*y + 66 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4*b*b\/(b\/(b**4*b))*b)\/((b\/(b\/(b\/b**4)*b)*b*b)\/(b\/(b\/((b\/(b**5\/b))\/b)))) assuming b is positive.\nAnswer: b**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/1 - (-3 - -1). What is the common denominator of (-9009)\/(-1980) + 2\/(-30)*2 and 446\/24 - (-1)\/r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, -14, -24, -38, -56, -78?\n\"Answer: -2*l**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 19 = -5*n + 26, -2*x + 18 = -4*n. Calculate the remainder when 21 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5 - 35. Let u(p) = 14*p**3 + 23*p**2 - 3. Let h(o) = 5*o**3 + 8*o**2 - 1. Give a*u(t) - 17*h(t).\nAnswer: -t**3 + 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0293315 + -0.0291. What is j rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, c: 5, d: 5, t: 2}. Give prob of sequence tqq.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 10:27 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -2 + (-10)\/(-2). Let t(d) = -2*d + 2*d**2 - 3*d**z + 2*d. Let o(p) = -3*p. What is o(t(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 138173.8 kilograms in grams?\nAnswer: 138173800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b**2. Let i = 439 - 437. Let u(k) = -7*k**i + 6*k**2 - 2*k**2 + 4*k**2. Calculate u(x(y)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 0. Let k = 2 + -2.5. What is the second biggest value in -1, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - a - a)*(a + 4 - 4) + (57 - 55 + 6*a - 16*a)*(-2*a - 10*a + 3*a) + 4*a - 4*a + a**2 to the form y*a**2 + z*a + p and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*s - 4, 5*r = -2*s + 21. Suppose 9 = 3*u + r. Let h = -38 - -37.97. Which is the second smallest value? (a) h (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 4*d + 7. Let w be r(6). Let s = 1.4 + -16.4. Let j = 12 + s. Which is the biggest value? (a) j (b) -1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -g - 5. Suppose 0*s = -2*s + 4*y + 586306, 3*y = -g*s + 1465739. Suppose 9493149 = -2*j + s. Round j to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 747238?\nAnswer: -3736190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -383745, -767490, -1151235, -1534980, -1918725?\n\"Answer: -383745*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fht when three letters picked without replacement from {t: 2, r: 1, k: 1, x: 1, h: 1, f: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036959 rounded to six decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:43 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -819232, -3276943, -7373122, -13107763, -20480860, -29492407?\nAnswer: -40142398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 206, 454, 800, 1244?\nAnswer: 1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (8 - 38 - -12) - 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-307)\/(-70) - (-4)\/(-14). Suppose 3*s = -46 + 25, -4*t + 51 = -5*s. Which is bigger: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106 + (-246 + 235 - (-2 - -26))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 1 + 28\/2. Let p(x) = x**2 - 13*x + 5. Let j be p(h). Suppose -2*g + j + 1 = 0. Let o(m) = m**2 - 3*m + 4. What is o(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**6\/120 - n**5\/6 - 7*n**4\/24 - n**3\/3 + 690*n**2. Calculate h(11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 21*g - 17. Let o be t(-20). Solve 2*p + 24 = o*p + 4*q, -3*p = 3*q - 27 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -0.73?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*a + 9570 - 992 + 47852 = 629*a for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (32\/88)\/(6\/(-33)*-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*30.2.\nAnswer: 9.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-90)*-24)\/((-4)\/(-6)). Suppose -4*s + 158 = -5*d + 39, -4*s + 164 = w*d. Calculate the highest common divisor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**3\/6 + n**2\/2 - 380*n - 2. Suppose -4*o = -6 - 6. Let b(u) = 0 - o + 3*u - 1. Determine b(k) + 4*z(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 4*u**2 + 5*u + 4. Suppose -3*v - 4*g = -57, 5*v - 28 = 4*g + 35. Suppose -2*t - t = v. Calculate the remainder when 11 is divided by w(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9 (b) -4\/3 (c) 4\/11 (d) -0.43 (e) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1656 divided by 69?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 511 divided by 2\nAnswer: 511\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1811018 divided by -164638.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/9 + (-110)\/(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -3. Let r = -0.941 - -0.541. What is the nearest to 2\/9 in 5, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -64*i - 192. Give n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 divided by 235?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -787 greater than or equal to -787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5250*x**3 + 10513*x**3 - x + 5*x**2 + x**2 - 2*x - 5264*x**3. Calculate d(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 - 59. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 13098 = -10*x. Suppose -11*w = -9115 - x. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 328?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.036, 5, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150 + -148.97. Let l = 9.73 - q. Let j = l + -9.2. Sort j, 1.4, -4, 0.5 in descending order.\nAnswer: 1.4, 0.5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 424251633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1910*b**3*q**3 - 12*b**3*q**2 + 2*q**2 - 10 wrt q?\nAnswer: 11460*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 447349, 447354, 447361, 447370?\n\"Answer: b**2 + 2*b + 447346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -7, -20 in ascending order.\nAnswer: -20, -7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/12 and 143\/247548.\nAnswer: 247548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0 = 3*z + 15, -3 = -z + v. Suppose 5 = -x, 129*f - 126*f - 81 = -3*x. Let d be (f\/(-16))\/((-7)\/z). Sort -2, d, -1\/9.\nAnswer: -2, d, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -27, -0.08?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.5, 3, -19, -23, 1\/5, -0.212, 3\/5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:30 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -134 (base 8) to base 5\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 290 = 94*v + 4*q, -3*v = -7*v + 8*q - 9*q + 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-612))\/(7 - (-1840)\/(-256))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24427 - -24427.00000001704. What is x rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -22*k + 13. Let l be p(-2). Let i = 87 + l. What is the units digit of ((i\/15)\/(-3))\/((-6)\/165)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -2, 87, -4, -0.001, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0 = -3. Let j(w) = -1 - w**2 + m. Let n(s) = -1 + 2 + s**2 - 1. Give n(j(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*x = -218*x + 24 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 a when four letters picked without replacement from oioiataaoota?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - 29) + -3 + -9 - -12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 45*m - 6. Let q(l) = l**2 - l. Let v(o) = -21*o**2 + 18*o. Let h(y) = -18*q(y) - v(y). What is h(g(t))?\nAnswer: 6075*t**2 - 1620*t + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 33*b**2 + 102*b + 216. Let j be u(36). Which is greater: 11\/146 or j?\nAnswer: 11\/146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**4\/4 + b**3 + 5*b**2\/2 - 7*b + 18. Let i be d(3). Suppose -p - p = i. Sort -5, 1, p, 9 in decreasing order.\nAnswer: 9, 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 11) in base 3?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 306 and -2.\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 659.1649 millennia?\nAnswer: 6591.649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/147 (b) -1\/6 (c) 2 (d) 3 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 142*(-1)\/((-5)\/(-10)). Let u = d + 284. Solve 3*b - 4 + 1 = -3*a, -4*b - a - 5 = u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37948 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 784 + 320. Suppose -u = -25*z - 8. Calculate the highest common divisor of 4 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (sqrt(162) + (-2*sqrt(162)*6 - sqrt(162) - sqrt(162))))\/sqrt(9))\/(sqrt(66)\/(sqrt(11) - (2*sqrt(132) - sqrt(132) - sqrt(132))\/sqrt(12))).\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/35)\/(54\/(-84)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 10*b**2 - 2*b - 18. Give a(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 9382046, -5?\nAnswer: 9382046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5196998?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, d: 2, o: 3, g: 4, l: 1}. Give prob of sequence dvo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 460510068 a multiple of 866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398, -394, -390?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 37 = -3*i - 5*r + r, -2*i + 3*r - 1 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = -0*j + 60. Let h(x) = -10*x**3 - 7*x**2 - 3*x - 8. Let s be h(j). Let o = -333 - s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26379451, 26379450, 26379449, 26379448, 26379447, 26379446?\n\"Answer: -q + 26379452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 15. Let y(z) = -z**2 + 16*z - 9. Calculate the remainder when y(12) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aroio. Give prob of sequence ro.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(4 - 28\/8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:33 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b + 96 = -144. Let p(n) = -b*n + 4*n + 6*n - 3 - 7*n + n**2. What is p(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 104 = 3*c. Let y be c*(-6)\/234*15*1. Factor -1\/2*o**2 + 1\/4*o**4 - 1\/2*o**3 + 1\/4*o**y + 1\/4 + 1\/4*o.\nAnswer: (o - 1)**2*(o + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/3)*x\/(x**(-4\/11)*x)*x assuming x is positive.\nAnswer: x**(23\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5468, -5459, -5450, -5441, -5432, -5423?\nAnswer: -5414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7690, -31164, -70294, -125086, -195546, -281680?\n\"Answer: -j**3 - 7822*j**2 - j + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4971.8255 - -4959. Round t to 1 decimal place.\nAnswer: -12.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3523 + 1602?\nAnswer: 5225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*(-3 - (13 + -30)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-3*w**3 + 83*w**4 - 81*w**4 + 4*w**3)*(203 - 73*w - 95*w - 204).\nAnswer: 336*w**5 + 170*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b = 25*b - 8. Let y be (3 - b)*2 - (26000 - -2). What is y rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + k + 10*k - 19*k + 2*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, 4634, -8, 0 in decreasing order.\nAnswer: 4634, 8, 2, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 144 = -l. Suppose 0 = -5*s + 593 - l. Suppose 2*q + 7 - s = 0. Round q to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.89102 kilometers in meters?\nAnswer: 88891.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/4*1*(-20)\/15. Suppose q + 3 = -a*j, -4*q - 12*j + 24 = -13*j. Suppose 0 + 2*z**q + 1\/4*z**2 + 3\/2*z**3 + 0*z + 3*z**4 = 0. What is z?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2. Let z(c) = 4*c. Let t(s) = -8*s. Let u(i) = 2*t(i) + 5*z(i). Determine b(u(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1720 - -2098. What is the highest common factor of 36 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + t + 4*t**2 + (-4*t + 0*t + 5*t)*(-t + 0*t + 8*t) + 2*t**2 - t**2 - 4*t**2 to x*t + s + i*t**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/14 + 75\/21. Let t(d) = 28*d**3 + 2*d**2 + 9*d - 5. Let o be t(m). Suppose l + 4*l + 5*s = o, l - 2*s - 371 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**5 + 0*s**5 + 3*s**5 + (-s**3 + 2*s**3 - 2*s**3)*(3*s**2 - s**2 + 0*s**2) + 3*s**5 + 0*s**5 - 5*s**5 + s**5 + 6*s**5 + s**5.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13704 + 41651. Let f = 137947 - l. Round f to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-93)\/279 - 2\/12. Let q = -0.01 + -5.99. Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(408)*-2)\/sqrt(12) - -1*sqrt(306))\/((2*sqrt(88))\/sqrt(11)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-138)\/161 + 3762\/1400. Let a = q - 7\/4. What is the second smallest value in a, 4, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1348 + -1351. Suppose 5*y + 10 = 3*y. Let r be 8\/(-102)*6\/4. What is the smallest value in z, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 3*y - 5*y + (0*y - 2*y + 4*y)*(4 - 2 - 1))*(-3*y**2 + y**2 + 0*y**2 + (-5 + 3*y + 5)*(2 - y - 2)).\nAnswer: 30*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwwwwketwngnwtwgg. What is prob of picking 1 w, 2 n, and 1 t?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2866674799 to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + x - 3*x)*(-20 - 112 - 126 - x**2) to the form h*x**3 + b*x + z*x**2 + o and give b.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5 + ((-6 - -7) + 9 - 16) - -2) + 72\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from pipfooppof.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, a: 1, m: 2, c: 7}. What is prob of sequence amk?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.5 (b) -15 (c) 0 (d) 9 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 43 = 905. Let t(v) = v**3 - v**2 - 2*v + 2. Let y be t(2). Suppose 0 = y*c - p - 82. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + -48. Let u = -58 - f. What are the prime factors of (6\/9 - u)\/((-4)\/(-102))?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 17*m - 12. Let l be s(-16). Let q be l\/(-14) + -2*460\/(-35). Let i = 10 + q. Calculate the highest common factor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21310, -35816, -59994, -93844, -137366?\n\"Answer: -4836*p**2 + 2*p - 16476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000105801157 to six dps.\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 3*f - 12. Suppose 2*x - 6 = -3*a + a, -f*a + 19 = -3*x. Suppose 4*k = -4*d + 180, 4*d + 62 + 126 = a*k. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 + -42. Suppose 5*k - 25 = 2*x, 2*k + 2*k - c = -2*x. Factor k*w**2 - 3*w**2 - 5 - 2*w**3 + 0*w**2 + 3 + 2*w.\nAnswer: -2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-138*d + 138*d - 4*d**2)*(3*d - 3*d + 3*d) in the form f + b*d + h*d**2 + k*d**3 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 233 and 2072069.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b = 4*b. Let s(x) be the third derivative of 0*x**4 + b*x**5 + x**2 + 1\/630*x**7 + 0 + 0*x**6 + 0*x + 0*x**3. Factor s(v).\nAnswer: v**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 4*x + 8, -2*s - 85*x = -84*x + 8 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-3\/11)*(x*(x**(2\/27)*x)\/x)\/x**(1\/4))\/((x**(2\/5))**(-23)*x**(-6)*x**6) assuming x is positive.\nAnswer: x**(61163\/5940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17571 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 10222010112122?\nAnswer: 10222010112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4979 - -8622. What are the prime factors of f?\nAnswer: 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*(-1 + 9\/6). Let y = v + 1. Let q = y + 6. Are q and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 9. Let q be x(-6). Let s(z) be the first derivative of 2*z**3 + 9*z**2 - z**6 - 1 - q*z**2 - 2. What is the third derivative of s(d) wrt d?\nAnswer: -360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ac3 - -7?\nAnswer: 2aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.104675 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4 = 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26621 + -1241?\nAnswer: -31162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/406 and 53\/84?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 18*x**2 - 27*x - 2626. What is o(14)?\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-115)\/(-7) + 40\/70. Suppose -z = -5*g - 27. Let m be 3*g\/(-2 + -10)*-4. Which is the closest to 1? (a) m (b) -1\/2 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1008*w = 1012*w + 5*s - 30, 3*s - 18 = 0. Do w and 1\/8822 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2 + n + 3 - 4. Let b(x) = 6*x + 5. Let c(z) = b(z) - 5*y(z). Let v(t) = -6*t + 1. Determine 4*c(i) + v(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (94\/(-28) + 3)*12\/(-15). Which is the third biggest value? (a) -3 (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21627 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12229848?\nAnswer: 2, 3, 169859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5381 - -5385. Let o(x) be the second derivative of 0*x**3 + 9\/20*x**5 - 15*x + 0*x**2 + 0 - 17\/12*x**y. Find the third derivative of o(z) wrt z.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = -18*m + 6. Put m, -3, -5 in decreasing order.\nAnswer: m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2838 and -31\/48056.\nAnswer: 68191464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 4*u - 2. Let w(g) = g**2 - 3*g + 2. Let y(a) = 4*c(a) + 5*w(a). What is the remainder when 14 is divided by y(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112461398 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: Which is the biggest value? (a) -2\/7 (b) 25.1 (c) 1 (d) -32.99 (e) -11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.0825 rounded to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-148)\/(-14) - (-160)\/112. Solve 17*m + s = 11*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 greater than 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5369663554.339 - -319\nAnswer: -5369663235.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - -112 - (-3 - 4)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 79482.36kg?\nAnswer: 79.48236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9399*n**2 + 2*n - 1817 wrt n?\nAnswer: 18798*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (10 - 0) + (585 - -92)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 - (5 + (-516)\/(-108)). What is the nearest to b in -2\/11, -1, 3\/7, 1\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*m + m - 5 = 0, m = -4*s + 1. Sort s, 5, -9 in increasing order.\nAnswer: -9, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*q - 49 = 0, 0 = -8*m + 10*m - q - 79. Suppose m*t = 26*t + 44. Put 0, -142, t in ascending order.\nAnswer: -142, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f. Let q(z) be the third derivative of -z**5\/30 - 4*z**2. Calculate q(p(x)).\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17\/32 + 31\/32. Factor 1\/2*s**5 - s**4 + s**2 + r*s + 0 - 2*s**3.\nAnswer: s*(s - 3)*(s - 1)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 2*x - 2. Let b(t) = t + 1. Let u(r) = -2*a(r) - 6*b(r). Let c be u(2). Suppose c*i - 37 = 3. Calculate the least common multiple of i and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 7*i - 4. Suppose 4*l - 45 = -9. Let x be b(l). Is (-17)\/(-7)*202 - (-6)\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 - 30*q - 113. Calculate n(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 60*s - 3. Let n be h(5). Suppose 175 + n = 4*g - 4*j, 444 = 4*g + 3*j. Suppose -20*p + 14*p = -g. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*s + 16*s**2 - 3*s + 56*s as g*s**2 + i*s + h and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 756 - 750. Solve 3*x = 7*i - 3*i + 11, 3*i = -u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -202 + 34.1. Round c to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*c - 61*c = 71*c + 110 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 + 596*n\/3 - 400.\nAnswer: 2*(n - 2)*(n + 300)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, b: 3, k: 2, j: 1, f: 1}. What is prob of picking 1 j, 2 p, and 1 f?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 51*i**2\/2 - 106*i - 48. What is the hundreds digit of g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/81*2\/(-14)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*d - k - 5, -23 = -d + 5*k. Calculate the remainder when 26 is divided by (-11)\/(-1) - (0 - d).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**6\/30 - u**5\/60 + u**4\/18 - 2*u. Solve l(i) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44 - -2c559?\nAnswer: 2c515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + sqrt(17) - ((sqrt(2448)*-3 - sqrt(2448)) + sqrt(2448)))**2.\nAnswer: -444*sqrt(17) + 23309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 521040\/16848 + 0 + -31\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**5\/60 + w**4\/24 - w**3\/2 - 2*w**2. Let u(l) be the first derivative of j(l). Calculate u(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 11:54 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t. Suppose 4*b = 2*r - 2, 2*b - 3 = 5*r - 24. Let u(l) = 59*l**b - 70*l**2 + 2*l - 2*l. What is u(o(n))?\nAnswer: -396*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 13850466?\nAnswer: 41551398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k + 8. Let q be ((-24)\/30)\/(2\/(-10)). Suppose 795 = 3*p - k*m + 197, 0 = -q*m - 4. Calculate the highest common factor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1210845?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45119 is divided by 65?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + (-12 + 10 - (3 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = -18. What is the remainder when 105 is divided by z*(-10)\/15*1 - -58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**3 + 481*m**2 + 295*m + 4350. What is n(161)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2719 is divided by 671?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 572*z = 5*a + 569*z - 216, -2*a - 10*z - 48 = 0. Let k = -82 - -219. Calculate the remainder when k is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssjssssssssssssss. What is prob of sequence ssss?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22031950 to the power of 1\/2, to the nearest integer?\nAnswer: 4694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1444 divided by 5.\nAnswer: 1444\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 140227.388 to the nearest 1000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -341\/1178176?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/14)\/3 - -23*66\/3542?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9053.\nAnswer: 11, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = -60. Suppose 4*c + 5 = 3*g + 4, 0 = 4*c + 4*g - i. Let k be (c + -2)\/(2 - 3). Solve -5*u + 2*b = 0, -3*u = -k*u - 4*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 379 divided by -8\nAnswer: -379\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**4\/4 + d**3 + d**2 - 3*d + 2. Let q be n(2). Suppose -q*p + 24 = -p. Solve 1 = k + p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(5187\/(-70))*-2*(-72)\/(-96)\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -17 + 5 + 14 - w - 2. Let t(n) = 108*n. Determine t(s(f)).\nAnswer: -108*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-28)\/(-126)*9*(-1)\/2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykkk when four letters picked without replacement from krkyrkrk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5*k - 125, -166 = -0*t + 5*t + 3*k. Let o be (14\/t)\/((-1)\/5). Put 5, o, 33, 0 in increasing order.\nAnswer: 0, o, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 9. Suppose i - 12 = -4*y, 2*y = -3*i - 2*y + b. Let c = 10 - 6. What is the highest common divisor of c and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -27*s**2. Let n(l) = -6*l**2 - 5*l. Let z(y) = -y**2 - y. Let f(j) = n(j) - 5*z(j). What is f(h(a))?\nAnswer: -729*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015996.\nAnswer: 2, 253999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 676235 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 201 + -115. Let f = g - 53. Find the second derivative of f*s**5 - 28*s**5 + s - 5*s wrt s.\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 7*c**3 + 6*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2241604351 to the nearest integer?\nAnswer: 47346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.974 * -2.4.\nAnswer: 57.5376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -21. Let s = 2.01 + -2. Put x, s, 4 in descending order.\nAnswer: x, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/456*-4*313\/(-4382)*(8 + 0)?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 15. Suppose -b - 3 = -u*x + 4*b, 0 = 2*x - 4*b - 8. Is (x\/(-1))\/(-2 + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 42. Calculate the lowest common multiple of 106 and o.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*k + 109423, 4*k = 2*y + 135685 - 26283. Is 29 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6331817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let c = 9 - 10. Let q(l) = -4*l - 5. Let j(k) = k + 1. Let z(s) = c*q(s) - 3*j(s). Determine z(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4.000012. What is k rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 1666*b - 28645. Give k(17).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**2 - 3*z - 2. Let d be w(-1). Let b = d - -4. Solve 4 - b = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 2. Let r(h) = -h - 1. Let y(x) = -c(x) - r(x). Let t be y(-6). Suppose 0 = -5*d - t*g + 2325, 1848 = 4*d - 3*g + g. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198594700.\nAnswer: 2, 5, 67, 29641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -10*s + 2*s**2 + 0 + 1\/6*s**4 - 3\/20*s**5 + 0*s**3. Let u(w) = -4*w**3 + 3*w**2 + 5. What is -5*o(n) + 4*u(n)?\nAnswer: -n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87764682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + -22 + 0 + -801 + 823?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i\/i**(-1\/7))\/i))\/i**10)\/(i*i**0*i*i**(1\/23)) assuming i is positive.\nAnswer: i**(-1962\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 158*n - 148*n. Let d(m) be the first derivative of -6 - m**3 + n*m**2 + 0*m + 3\/2*m**4. What is the third derivative of d(r) wrt r?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 10 + 23. Let a = 37 + 6. Suppose -5*u + 5*y = -u + a, u - 5*y = -7. Which is smaller: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - (3 + (-13 - -4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r**2 + 1 - 1 + 18701*r - 18703*r to the form h*r + c*r**2 + j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(-2\/23)\/((k**(5\/4)*k)\/k*k\/(k\/(k\/(k*k**(-2)*k)))*k) assuming k is positive.\nAnswer: k**(-307\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 230 = -6*i. Suppose 4*g - 2*g - i = 0. Let j(b) = -b**2 + 12*b - 12. Calculate the remainder when g is divided by j(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1679278 is divided by 290?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + h - 1637 = -258, -2*h = -3*a + 2072. Solve -a = 11*l - 734 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087540997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/6)\/((-1)\/(9\/105)))\/(702\/(-585))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 0 + u**3 + 4 - 2*u - 3 + 6. Let x be q(0). Suppose -x*r + 5*r + 142 = 0. Does 25 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w - 1601 + 1601.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 a factor of 681088546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 395 - 338. Suppose 2*l - 3416 = 3*s, 60*l + 4*s = f*l + 5141. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46798 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46395275143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**4 + 3417638*b**3 - 2920076045281*b**2 + 23360444315880*b - 46720779267600 = 0.\nAnswer: 4, 1708815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1241711406 to the nearest integer?\nAnswer: 35238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*4\/(-78)*(-2)\/4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/12 - m**3\/3 + 2*m**2 + 3*m. Let c be w(0). Suppose -c*p + 174 = -42. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 1 + 2*u**2 - 2*u**2)*(-6*u - 12*u**2 - 2*u + 7*u).\nAnswer: 12*u**4 + u**3 + 12*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6922.376ml to litres.\nAnswer: 6.922376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595521 is divided by 531701.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 4*j + 3. Let y = 116 + -103. Suppose 243 = -y*u + 16*u. Let o(x) = u*x - 82*x + 3 - 4. What is 2*o(t) + z(t)?\nAnswer: -t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from vggggggghvvgggcgggvv?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2035308*k**5 - 2*k**3 - 95236*k**2 - 34*k wrt k.\nAnswer: -122118480*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3.9. Let o = 603 + -598. What is the nearest to f in o, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -17*c**2. Let l(u) = -1. Let r(k) = -k + 5. Suppose 19*w + 16 = 3*w. Let o(m) = w*r(m) - 5*l(m). Determine x(o(s)).\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29977696985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000276 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 12*k + 8 = 0. Let o(b) be the third derivative of -1\/54*b**k - 1\/540*b**6 + 2*b**2 + 1\/90*b**5 + 0*b + 0*b**3 + 0. Find v, given that o(v) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29961713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83.79691 or 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6*o. Suppose o = 7*l - 9*l + 130. What is the remainder when l is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 5*c. Determine w(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560548?\nAnswer: 2, 43, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and ((-5)\/(-2))\/((-420)\/48) - 1087\/(-7)?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5539513 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 14*n**2 + 13*n - 3. Let p be v(-6). Suppose -p = -3*m + 8*t - 5*t, m = 2*t + 139. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17559050.67 milliseconds in weeks?\nAnswer: 0.029032821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - 5*m**3 + 5*m**3 - 13*m + 13*m - 5*m**3 + 0*m**3 - 6*m**3 + 4*m**3 + (m + 2*m - 4*m)*(2*m**2 - m**2 + 0*m**2) + (6*m + m - m)*(0 + m**2 + 0).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 190694\/12 - (1 - 0)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 24 - 4\/(-4). Let z = s + -34. Let a be 16\/z*27\/12. Let x(h) = -h**2 - 6*h - 4. Give x(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 j when three letters picked without replacement from zzzjzzjzjzzzzzzzzj?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 37.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -28. What is the units digit of (1*2)\/(z\/(-105))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1003 + -40?\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 + 3*g + 2. What is f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from uuaiwi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -98031327?\nAnswer: 98031323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**2 + 2\/3*p**3 + 11*p + 0 + 1\/6*p**4. Factor f(w).\nAnswer: 2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.73 - 155.27. Let s = 175.2 + c. Round s to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**3\/7 + 12812*z**2\/7 - 244872*z\/7 = 0.\nAnswer: -3222, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -533 - -530. What is the fifth smallest value in -0.1, -0.3, -5, l, -233?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.1, -24, -3, -4, 0.746 in decreasing order.\nAnswer: 0.746, 0.1, -0.1, -3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2802696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 and -23\/915.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 173, -27095, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.8 (b) 86078 (c) 2\/13 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -5.4. Let d = 35 + -30. Let j = 6\/67 + 56\/871. Put d, j, o in descending order.\nAnswer: d, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 645\/(-12)*32\/(-36). Let p = -32195 + 32244. Which is bigger: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*r + 2*r + 3*t, 4*t + 4 = 3*r. Suppose r = 2*q - 5*o - 6, 3*o - 4*o + 43 = 3*q. Is 13 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70335375*o - 56048852?\nAnswer: 70335375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**3 - 248*w**2 + 844*w + 4872 = 0.\nAnswer: -3, 7, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14986 is divided by 672.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 3*h - 4*h)*((1 - 1 - 5)*(1 - 1 + 2) - 1 + 2 + 2) in the form q*h + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 3*b - b)*(-b + b + b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1780*r**2 - 897*r**2 - 883*r**2 - 2*r**3 - 9307 to the form t*r + s*r**3 + x*r**2 + i and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(130) - sqrt(130))*5)\/(3*(sqrt(360) + sqrt(360)*3 - sqrt(360)))*-4.\nAnswer: -40*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + 420. Let s = g + -256. Is 37 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78331, 623476, 2102243, 4981444, 9727891, 16808396, 26689771, 39838828?\n\"Answer: 77802*p**3 - p**2 + 534*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -37*y. Let w(v) = -40*v + 220*v - 60*v - 38*v - 35*v. What is w(n(p))?\nAnswer: -1739*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1224942 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 m when four letters picked without replacement from hemmh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -64*p**4 + 48*p**3 - 9*p**2 = 0?\nAnswer: 0, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -10 + 24 - (-1 + 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -9. Let f be -2 + 8\/(-1 + b). Solve -2 = r - 4*y, 5*r - 2*r + f*y - 8 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16395, 16393, 16389, 16383, 16375?\nAnswer: 16365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 2*p + 0*p + (-5 + 0 + 4)*(-2*p + 0 + 0) + (-2*p + 5*p - 2*p)*(-4 + 3 + 25) - 2 + 2 + p.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -30.2. Let k = -34208 + 34224.699. Let t = k + z. Round t to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47)\/47*(64\/(-7))\/4?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - x**2 + 3*x**2 + 78*x - 2*x**2.\nAnswer: x**2 + 78*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 6072932.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*a**3 - 2842*a**2 - 163312?\nAnswer: -60*a**2 - 5684*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35000 + -1?\nAnswer: 34555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2704*l - 2026. Calculate the remainder when x(1) is divided by 89.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7800*j**3*l + 589*j**3*x**3 + 2*j**3*x + j**2*x + l*x**3 + 10*x**3 + 16 wrt l?\nAnswer: 7800*j**3 + x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13669 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8654472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 10*m**2 + 10*m + 9. Suppose -4*s = -2*h + 6, 2*h + 2*h - 4*s + 8 = 0. Let w be k(h). Suppose -w = -5*f + 3*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t = -34*t + 18. Suppose -t*m = -15*m + 3846. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j - 3*s + 137 = 0, 55 = 3*j - 5*s. Let f = j + -15. Suppose -f*a = -7*a - 120. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -727, -1283, -2073, -3175, -4667, -6627, -9133?\nAnswer: -12263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*-6*2*sqrt(1377))**2 + -4.\nAnswer: -7138372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.97542 and 8?\nAnswer: -7.80336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77539\/(-539) + (31 - (-3270)\/(-105))?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21978402 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 34.6. Let u = y - -3. Let p = -0.01 + 2.01. What is the nearest to 1 in p, u, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*p = -60, 0 = -1376*t + 1379*t - p - 124. Calculate the remainder when 3 + -2 - (-75 - -2) is divided by t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/25614893?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2270608283 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3395, -3374, -3353?\n\"Answer: 21*q - 3416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3482*v**2 + 3494*v**2 - 6977*v**2 + 8*v - 7*v.\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -119. Suppose 0 = 5*l - s + 2. Let f = 98 + -66. What is the remainder when f is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = 2*k. What is the smallest common multiple of 11 and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 15*f + 19 + 119, -8*f - 5*q + 0*q - 51 = -4*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 - 6. Let p be q(-5). Suppose j - 25 = -2*m, -p = -3*j + m + 9. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75773 divided by 1977\nAnswer: -75773\/1977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-9)\/(-1683)*17)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 10:22 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(2*sqrt(1331) + 5 + sqrt(1331)).\nAnswer: -165*sqrt(11) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/28 and (-50)\/(-4)*(142\/(-160) - -1).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 4:43 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -152203 (base 7) to base 12\nAnswer: -15167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**6\/120 - h**5\/15 - h**3\/3 + 2*h**2. Calculate i(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 4*m - 1\/6*m**3 - 1\/36*m**4 + 0*m**2 + 3. Find l such that o(l) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 5*j - 5. Let d be v(1). Let u(h) = 3*h**d - 17 + 21*h - 16 - 16*h + 29*h. List the prime factors of u(-15).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4577292 to the nearest integer?\nAnswer: 2139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(151 - 19) + 177\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*u - 4*f, f + 8 = -4*u - f. Let x be 18\/(-5 - -2) - u. Let g = x + 43. Calculate the highest common factor of 120 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306749.\nAnswer: 306749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -43*s - 12. Let q(b) = 10*b + 3. Let o(a) = -9*q(a) - 2*w(a). Let t(y) = -y**2 + 5*y + 4. Determine 3*o(c) + 2*t(c).\nAnswer: -2*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 14 = -4*m, -125*m = -127*m + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -235*t + 111*t + 126*t + t**2. Let v(h) = -2*h**2 - h. Let m be v(-2). Calculate the remainder when w(m) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((-273)\/(-28))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 149 (b) 1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -465*b + 468*b + d - 31, 196*d - 9405 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/20*24\/28)\/(99\/(-2)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o**4 - 255*o**3 - 1685*o**2 - 1445*o. Let s(f) = 15*f**4 + 382*f**3 + 2527*f**2 + 2167*f. Let j(p) = -7*h(p) - 5*s(p). Factor j(g).\nAnswer: -5*g*(g + 1)*(g + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169717369?\nAnswer: 169717369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 377 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2014 = 4*u + 3*p, 15*u - 11*u = -p + 2010. What is the remainder when u is divided by 102?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -6. Let j(v) be the third derivative of v**4\/8 + 10*v**3\/3 + 9*v**2. Calculate the remainder when j(0) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -160*a**2. Let r(o) = -o**2 + 4*o - 1. Let x(d) = 9*d**2 - 44*d + 11. Let f(j) = -22*r(j) - 2*x(j). Calculate f(l(q)).\nAnswer: 102400*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 189 - 188. Let n = -32 - -32. Let f be n - ((-8)\/28 - (-10)\/(-308)). Is f < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 590, 2080, 4978, 9752, 16870, 26800?\nAnswer: 40010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**(4\/21)\/y))*y)\/((y*(y\/(y*y**(-8\/9)*y*y))\/y*y)\/y)*(y\/(y*y*y**(-1\/30)\/y*y*y))**3 assuming y is positive.\nAnswer: y**(-2897\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) + 4*sqrt(80) + sqrt(20) + -1)**2 + (-1*((sqrt(120) - sqrt(120)*-1) + sqrt(120)))\/sqrt(6).\nAnswer: -7224 + 146*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156407 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5347*f**2 - 4617*f**2 + 46 - 583*f**2.\nAnswer: -10547*f**2 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(6\/5)\/h*h)\/h**6)**(2\/5) assuming h is positive.\nAnswer: h**(-48\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 5:24 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = 5*x, -217 = 9*u - 13*x + 8*x + 8*x - 85 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q - 21546 + 17139 = 0 for q.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/3, -8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30716.\nAnswer: 2, 7, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 322.688 + -323. Let f = 0.012 + b. Sort -9, 1, f in descending order.\nAnswer: 1, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 42 = 0, 4*o - 2*j + 144 - 247 = -125 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -524*u**2. Let q(s) = -4*s**2 - 3*s. Give q(w(b)).\nAnswer: -1098304*b**4 + 1572*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**3 + 3*h**2 - 64*h - 183. Calculate the lowest common multiple of n(-3) and 1\/((-5)\/20) + 26.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 10:41 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14\/9, 4, 0.5?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 4. Let k be -4 - (-4 + -4) - -27 - -7. Sort f, k, 2, 5 in ascending order.\nAnswer: f, 2, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*m**4*v - 35*m**3*v - 24*m + 3*v wrt m.\nAnswer: -84*m**2*v - 210*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = -2*q, q - 2*d = -5*d + 6. Suppose q = x - 5*x + 3*i + 77, 3*i - 25 = -2*x. Suppose -16 = -4*z + 2*y, y + 3*y = 0. Solve -z*g + 5 = x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62969155 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -110\/3? (a) -42 (b) -0.08 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 4*m**2 - 11*m + 7. Is f(5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -13, 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:02 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 41*g**2 + 5*g + 20. Is b(-5) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/3 of a century in months?\nAnswer: 31600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(66) - (sqrt(66)*-3 - sqrt(66)))*-5 + sqrt(66) - sqrt(66))\/((sqrt(24)*3)\/sqrt(4)))**2.\nAnswer: 6857\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19183*p**3*r**3 - 3*p**3*r - 14186*p*r - 15*r**3 + 2*r**2 wrt r.\nAnswer: -115098*p**3*r - 90*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1549 + 1548. Let w(f) = 13*f - 6. Determine w(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/2290548 and -39\/249611?\nAnswer: 38939316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-14)\/(-21))*-2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 4*a + 1. Suppose 0 = -4*l + 4*h - 32, -l - 3*l = 3*h + 18. Let b be n(l). Let g = b - -49. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11290917 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 3*i - 6. Let t be s(-5). Suppose -4*z = 2*l - 56, l - 21 = -z + t*l. Let g(q) = q + q**2 - 3*q**3 + 2*q**3 - 5*q + 5*q + z. Determine g(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 299, 1157, 2587, 4589, 7163, 10309, 14027?\n\"Answer: 286*g**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 - 5\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7724 is divided by 3847.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 328 - 287. Suppose -12*j + k + 7 = 0. Let a(f) = f**3 + 4*f**2 + 2. Let n be a(-4). What is the greatest common factor of j and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duh when three letters picked without replacement from {d: 2, h: 4, u: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110000011000 (base 2) in base 12?\nAnswer: -8aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6101204 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/18421873 and -41\/82857.\nAnswer: 55265619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 662*r + 44352. Give f(-67).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 28 = -28. Let a(h) be the second derivative of 1\/8*h**2 - 1\/80*h**5 - 3*h + 1\/24*h**3 + w - 1\/48*h**4. Factor a(p).\nAnswer: -(p - 1)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, b: 1, h: 2, m: 2}. Give prob of picking 2 m and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 3*l + 2*l + (-5 - 6*l + 5)*(4 + 1 - 6) - l + 4*l - 2*l)*(-18*l**2 - 22 + 22) to q*l + b*l**2 + a + p*l**3 and give p.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, k: 2, u: 2, z: 2, g: 3}. Give prob of sequence zgkm.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/((-6)\/24)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 - 5*w**3 - w**4 + w**2 + 2 - 2*w + 5*w**3 to the form g*w**2 + h*w + p*w**4 + s*w**3 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19829114?\nAnswer: 2, 37, 267961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 470 and 4465.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4906, -9813, -14720, -19627, -24534?\nAnswer: -29441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 14 = 5*z + 4*v, -3*z = v - 8. Let d = 1744\/19527 - 2\/849. Let x = d + 32\/161. Which is the nearest to z? (a) -2 (b) -1\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -397*l**5 + 489*l wrt l?\nAnswer: -7940*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, 1 m, and 1 q when four letters picked without replacement from tmxmwxmmwmttwmmxtmq.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-17 + 660\/36)\/(16\/(-252)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/4 or 89?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a0fa (base 16) in base 13?\nAnswer: 122975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66600 and 939960?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - 6*m**2 - 6. Let z(l) = -4*l + 9. Suppose 7*k - 6 = 4*k. Let f be z(k). Let y(i) = -3 + 1 + 1 - i**2. Calculate f*x(n) - 6*y(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 + 2 - ((-15 - (-3 - -12)) + (43 - 10))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 3*r**2 - r + 1. Let m be c(-3). Suppose -m*l - 298 + 930 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 52*h + h. Solve d + 2 + h = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f. Let c(u) = u**2 - u - 1. Let k(g) = 39*g**2 - 52*g - 52. Let l(r) = 52*c(r) - k(r). Give o(l(s)).\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000001100 (base 2) to base 10.\nAnswer: -2060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1866c2b (base 13) in base 8?\nAnswer: -36351226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 6:38 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -365.\nAnswer: 1825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3026*x**2 - 1513*x**2 - 1495*x**2.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3248058821 to the power of 1\/2, to the nearest integer?\nAnswer: 56992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3*l - 37 = 0, -j - 107*l - 3 = -109*l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -15*t + 1. Determine n(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1840 and 34829360?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 42*z**2. Let r(h) = -3*h**2 + 9*h. Calculate r(n(o)).\nAnswer: -5292*o**4 + 378*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k + 22. Let o be a(11). Suppose o = -0*n + 2*n - 6. Suppose n*s - 29 - 115 = 0. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -190 - 3379*v**2 - 3374*v**2 + 105*v + 6748*v**2.\nAnswer: -5*(v - 19)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.27 + -0.08. Let g = -0.31 + w. Round g to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, b: 2, l: 3, u: 7}. What is prob of sequence bmmu?\nAnswer: 49\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -647333, -646738, -646143, -645548?\n\"Answer: 595*f - 647928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9976117989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 415 - 419.16. Let p = 10.16 + w. What is the nearest to 1\/2 in -1\/4, 2\/19, p, 0?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3810 and 3637788.\nAnswer: 18188940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.9 or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -146, 80, 0 in increasing order.\nAnswer: -146, -3, -2, 0, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 20 + 10)*(147*n + 277*n + 200*n) in the form c*n + h and give c.\nAnswer: -4992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*n - 8. Let r = n + 5. Let l(b) = b - 2. Let a(x) = -1. Give r*l(j) - 3*a(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**3 - 33 - 32 - 27 + 92.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcdd when four letters picked without replacement from cdccddcddd?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*f - 0*f. Suppose -f*v = -3*v. Is 34 + 1 + v\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 40*o**3 + 2*o + 4. Let r(m) = -201*m**3 + m**2 - 11*m - 22. Determine -22*n(t) - 4*r(t).\nAnswer: -76*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**4 - 3*r**2 + 110*r**5 + 30 - 123*r**5 + 13*r**2 - 28 wrt r.\nAnswer: -780*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*k + 149 = -43 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/11 >= -27856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.2 + 23.7. What is the second smallest value in -2\/9, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*w - 76 + 76 + (-3 - 1 + 5)*(-2*w + 2*w + 2*w) to i*w + h and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 826954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 214.\nAnswer: -1070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.2 - -4. Let s = -0.2 + 0.7. Let w = s - n. What is the second biggest value in -1, w, 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -49, -195, -439, -781, -1221?\n\"Answer: -49*l**2 + l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -1\/12*h**4 - 2*h**2 + 11\/6*h**3 + 0 - 4*h. Let t be m(7). Calculate the highest common divisor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 + 16*w + 8. Let z(c) = c + 1. Let t(l) = m(l) - 10*z(l). Let u = 11 + -14. Is t(u) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 47 = -2*t, -2*h + 55*h - 91 = 32*h + 26*h - 4*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 6\/5, -3, 31, 0.1 in ascending order.\nAnswer: -26, -3, 0.1, 6\/5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 2, t: 2, h: 1, y: 2}. What is prob of sequence oh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(12288\/216 - 58).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 16\/5)*(-25)\/(-2). Let v = w - 17. Let b(p) = p**3 + 9*p**2 - 7*p - 6. Is 47 a factor of b(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 7 = 2*b, -5*b = 3*v - 5*v - 49. Solve 5*y + b = -14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-2 - sqrt(130))*3 + 1*sqrt(130)*4 + sqrt(130))\/(sqrt(360)*2 + sqrt(360) - 3*sqrt(40)\/sqrt(4)) + -1.\nAnswer: -1 - 4*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4720637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*b + 99 = 753*b - 381*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**4\/7 + 4518*x**3 + 126530*x**2\/7 + 94902*x\/7 = 0?\nAnswer: -3, -1, 0, 15817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 629 = -3*i, -5*k + 1510 = 3*i + 2*i. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23224144 (base 7) to base 10.\nAnswer: -2039902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a year in months?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.215 - 0.1967. Let l = x - 3.2283. What is l rounded to one decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 201 + -287. Let m = j - -86.1. Round m to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925 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 seventh root of 2044 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290\/9*k**3 + 12*k**4 + 100\/3*k**2 + 14\/9*k**5 - 16\/3 + 56\/9*k = 0 for k.\nAnswer: -3, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 10*a + 3*a - 7*a.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**5 + 39*c**4 + 29*c**3 + 11*c**2 - 7*c. Let i(s) = -3*s**5 - 20*s**4 - 15*s**3 - 6*s**2 + 4*s. Let j(z) = 4*a(z) + 7*i(z). Factor j(d).\nAnswer: d**2*(d + 1)**2*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116454 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, c: 2}. What is prob of sequence scs?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1955, 0.1, 0.4, -2\/17, -9?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10a (base 12) to base 9\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = j - 2, g - 5*g - j = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a**3 - 4*a**2 - 8*a - 8. Let t(i) = i**3 + i + 1. Let v(k) = -c(k) - 5*t(k). Let r be v(-3). Which is smaller: r or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*j = 1156 + 2100 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3897\/(-866)*12\/(-66)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*y + 3\/5*y**4 + 14\/5*y**3 - 3\/5 + 16\/5*y**2 = 0. Calculate y.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*b + 11 = 0, -5*b = 4*l - 9 + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -139*l**3 + 7 - 12 + 3 + (3 - 4 + 3)*(l**3 + 0*l**3 - 2*l**3).\nAnswer: -141*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44*p - 10*p + 13*p)*(-60 - 13 + 31) to r + w*p and give w.\nAnswer: 1722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**3 + 5739*c**2 - 11487*c + 5745 = 0?\nAnswer: -1915, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 198 and 43200.\nAnswer: 475200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (17 + 3595\/(-25))*-65?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccqvxvqsvvsmxxqcq. What is prob of sequence mcqc?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59007639*m**3 + 59262794*m**2 wrt m.\nAnswer: 354045834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c. Let r(k) = -181*k. Give b(r(w)).\nAnswer: 362*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7 - 1 + 10*u - 3 - 19 + 5. Let p(l) be the first derivative of -l**2\/2 + l + 1. What is -44*p(d) - 4*q(d)?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6 + 6 = 0. Suppose 790158 = u*d - 139842. Round d to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 30*y**2 - 46*y - 53. Let t be h(-29). Let z = t + -303. Is z a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) + (-20)\/16. Is 13 a factor of (78\/(-15))\/(t\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**3\/a*a*a)*a*a\/(a\/(a**(-2\/13)\/a))*(a\/(a**(-13)*a))**(-15) assuming a is positive.\nAnswer: a**(-2576\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l + 40. Let t be k(7). Let w = t + -53. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18394993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3122 + -162541873\nAnswer: -162544995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**9\/30240 + x**8\/13440 + x**7\/5040 - x**6\/1440 - 3*x**4\/4 - 5*x. Let c(f) be the third derivative of k(f). Factor c(d).\nAnswer: -d*(d - 1)**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-12)*((-2)\/1)\/(-6)*999\/6771.\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 - 5*f**2 - f**3)*(-15*f - 1505*f**2 - 237*f**2 - 49*f**2 + 521*f**2).\nAnswer: 1270*f**5 + 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1231359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9528626 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*1\/(-4))\/(4\/(-10))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6613, 6471, 6329?\nAnswer: 6187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 495 = 4*t, -6*z + 8*z = 2. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 1910301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1, -5, 4 in descending order.\nAnswer: 4, 1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 e when three letters picked without replacement from {y: 2, e: 1, z: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 11*a**2 + 9*a + 11. Let h be k(-5). Suppose 2*c + j = 77 + 44, h = 4*c + 3*j. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 709651681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by -29.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1056 - 619*d**2 + 1056 + (-4*d - 2*d + 5*d)*(2*d + 0*d - d) + 2*d**2 + 1 + 0*d**2 - 6 - 6*d**2 + 2*d**2 - 3*d**2)*(3*d**3 - 7*d**3 + 2*d**3).\nAnswer: 1250*d**5 + 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (810\/(-505) + 2)*10 - 4. Let n = 85\/404 - j. Solve -1\/2*v**4 + 3\/2*v**2 + n*v**3 + 1\/2 - 7\/4*v = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -76. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12929 and 2755724.\nAnswer: 19290068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -112*t**2 + 30248*t - 2110. What is g(270)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (16310\/(-1864))\/(14\/(-56))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 0*j + 2*q - 7, -2*j - q = -7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5237417627451 take away -1?\nAnswer: -5237417627450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*x = 2*x - 13, -o + 8 = -x. Suppose -16 = -4*b - 4*a, 2*b - 4*b = 4*a - 12. Solve -2*t - 18 = 2*m, o*m - t + b*t = -17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7))**(13\/3)*(t**0\/t)**14 assuming t is positive.\nAnswer: t**(-320\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 35*i**2 + i. Suppose 7 = -3*n - 2*j, -13*j = 5*n - 18*j - 30. Calculate d(n).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 3*s - 68. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4984, -10543, -16102?\n\"Answer: -5559*c + 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12155191 is divided by 14036?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 - a**2 + 4*a**2)*(1555 + 1526 - 429 + 1596 - 898) + (2 - 2 + a**2)*(0 - 3 + 4).\nAnswer: -6699*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 6*p**3 - 5*p**3 + p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 7*r - 8*r**2 + 2*r as f*r + b*r**2 + c and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1356 - 1358.885. Let g = f + -0.015. Let x = -2.912 - g. What is x rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2379175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2984.984658 - -2985. Round r to four decimal places.\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5238.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 - 3*q**3 + q**5 + (q**2 - 2 + 2)*(2*q**3 + 3*q - 3*q))*(1 - 35 - 35).\nAnswer: -207*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(2 - (-1 - -3)). Suppose 0 = 5*w - h - 5. Solve -w = -j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/(-3))\/(6\/144*-2). Let k = o - 53. Calculate the highest common divisor of k and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-56)\/336)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 28. What is the third smallest value in -0.2, 1, b, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18*(-19)\/(114\/(-180))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 374 and 102.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:45 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aay when three letters picked without replacement from bqaqbyyaqaabqb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) 0.16 (c) 3\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 748 and 47872.\nAnswer: 47872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/7470 and 101\/1660?\nAnswer: 14940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/40 + (-9)\/(-36). Put g, 1, 0, -0.3 in ascending order.\nAnswer: -0.3, g, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 7. What is a(15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 + -0.1. Let f = -0.9 + w. Let v be (1\/3)\/(2\/6). Which is smaller: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/48 + 18\/8. Solve 0 = 2*f - 6, u*s + 27 = -f + 5*f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a litre in millilitres?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 3. Find the common denominator of 2\/k + (-113)\/(-12) and 27\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2330*y - 16271. Give r(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3.3. Let r = -22.1 + 22. Is r less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pllp when four letters picked without replacement from {p: 2, l: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*u**3*z + 3691804*u**3 - 3782*u**2 - 18*u + 6*z + 21 wrt u.\nAnswer: 222*z + 22150824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176\/21 - 26\/3. Let z = 0.04 + -0.24. Let g be -2 - -5 - (0 + 1 + 4). Which is the closest to u? (a) g (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56832986.89 rounded to the nearest one thousand?\nAnswer: -56833000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59763 and 90356223?\nAnswer: 5433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose 0 = -2*s + d - 3 - 3, -5*d - a = -2*s. Let k be s + 6 + 18\/(-8). Put k, -0.2, -0.1 in decreasing order.\nAnswer: -0.1, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177742969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**5\/17 - 8770*b**4\/17 + 13269152*b**3\/17 - 7536801136*b**2\/17 + 924321069536*b\/17 + 1878895637216\/17 = 0.\nAnswer: -2, 169, 1406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1713 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366, 1635, 3938, 7407, 12174, 18371?\nAnswer: 26130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 2:41 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 2*g + 11, 5*p - 5*g = -1 + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 64333335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 11*i - 22. Let g be y(9). Which is the biggest value? (a) -0.2 (b) 4 (c) -1\/7 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 6.7. Let q be ((-57)\/(-76))\/((-5)\/4). Put n, q, 2\/5 in descending order.\nAnswer: 2\/5, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.03 + -11.41904?\nAnswer: -120.44904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/375 and 101\/48?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 15*t + 46. Let i be o(12). Let x = i - 74. Solve -5*k = -k - x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from riurriaicarq. What is prob of sequence uir?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/4 (b) -1 (c) 5 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*r + 19. Suppose 3*g - r = 3. Suppose k - g*k - 8 = 0, -u - 2*k = 5. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -74, -243, -562, -1079, -1842?\n\"Answer: -8*h**3 - 3*h**2 - 2*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30, 37, 44, 51?\n\"Answer: 7*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/9130 and 11\/1480.\nAnswer: 1351240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*c + 149*c = 6. What is h in 2\/9*h**4 - 8\/9 + 2\/3*h**c - 8\/9*h**3 + 8\/9*h = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 27*n**2 + 12*n + 21. Is m(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203021033 (base 5) in base 9?\nAnswer: 1503786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62624 and 72557732.\nAnswer: 7828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*g - j + 3*j, 0 = 5*j - 25. Calculate the remainder when 32 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/24 - -103\/264. Let i(x) = x**3 - 11*x**2 + 10*x - 10. Let w be i(10). Let r = 8 + w. What is the biggest value in r, 0.04, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 9) to base 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*r + 3 = -3, -5*b = -4*r - 15. Let o(d) = -b*d - d**2 + 3*d. Let c(l) = -15 + 15 - l**2. Calculate c(o(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 1681860.\nAnswer: 21864180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10618?\nAnswer: 2, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 9*f + 14. Let z be n(-7). Suppose z*m + 2*m + 13 = 3*q, 0 = -q - m + 6. Let y be 1*(1 + 0)*1. What is the greatest common factor of y and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504939853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7599, 7609, 7619, 7629?\nAnswer: 7639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18540036*w**2 + 28*w - 826651 wrt w?\nAnswer: 37080072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2116354 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 347\/5. Let h = -0.7 - -0.5. Which is the second biggest value? (a) -2\/11 (b) f (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -306802, -306803, -306804?\n\"Answer: -m - 306801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 396604738 - n + n + 3*n**3 - 1129*n**2 - 396604738 as z*n**2 + g*n**3 + m + k*n and give z.\nAnswer: -1129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 15*p**2 + 33*p. Let f be u(12). Is -1\/4 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-141 + 3)\/(3\/(-2)). Let k = s + -72. Find the first derivative of -k - 4*t**2 + 17*t**2 - 40*t**2 wrt t.\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**5\/20 - 39*t**2\/2 - 22*t. Let j(k) be the first derivative of i(k). Let r(h) = -4*h**2. What is r(j(s))?\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 282 and 31490?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108917 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 4*c + 5. Let u be o(-4). Let k(n) = 2*n**2 + 14*n - 14. Let v be k(-8). Suppose v*a + u*q = a + 15, 2*q = 5*a - 102. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 10*z + 24.\nAnswer: -(z - 12)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -84.1279.\nAnswer: -420.6395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733384 is divided by 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - -505?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/6 and -53\/18824?\nAnswer: 56472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-107)\/(-15) - (344\/(-120) - -3). Solve -5*d = t - 17 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v. Let i(u) = 2. Let s(q) = -q**2 + q - 8. Let f(c) = 4*i(c) + s(c). Calculate k(f(h)).\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9783 - 919605\/94. Which is the second smallest value? (a) 3 (b) g (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Differentiate -353241*a**2*d - 4*a*d**3 + 5*d**3 + 459586 wrt a.\nAnswer: -706482*a*d - 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55393527 and 210?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -24*a**2 - 13. Let r(g) = -23*g**2 - 14. Let d(z) = 6*q(z) - 5*r(z). Differentiate d(x) wrt x.\nAnswer: -58*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6428 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/((-3)\/2 + 1). Suppose -v - v = 3*u - p, 6 = 2*u - v. Let d = u + 1. Which is the smallest value? (a) 2 (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + x - 1281 - 377, -b = 3*x - 340. Is 331 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73109017.3 rounded to the nearest 10000?\nAnswer: -73110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -0.4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 65*c**2 - c - 2. Let r be l(4). Is r\/10 + 6\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.303804 minus -1?\nAnswer: 247.303804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -37. Let l be a\/(-2 - 40\/(-12)). What is the third biggest value in -4, -11, 1, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6404*c**2 + 5015*c**2 - 4407*c**2 - 2*c in the form m + i*c + x*c**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 19*r**2 + 17*r - 29. Let m be c(-18). Let l be (6\/m)\/((-15)\/165). Solve -4*s = -l*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*q + 6 = -6, -5 = -3*z - 4*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 4021569?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -58 + (-26 + 11 - -46)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -14*i**4 - 74*i**3\/3 - 104*i**2\/9 - 8*i\/9 = 0?\nAnswer: -1, -2\/3, -2\/21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*119.9.\nAnswer: 59.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500 a factor of 116392229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**4 + 180721695*j*p**2 + 62171*p**2 + 2289 wrt j.\nAnswer: 4*j**3 + 180721695*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125*(-2)\/(-6))\/((-59055)\/70866)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (0 - 5 - -19 - 6 - 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -58. Let u(r) = 2*r**2 + 4*r + 9. Let w(s) = 3*s**2 + 4*s + 8. Let x(v) = -4*u(v) + 3*w(v). What is the remainder when p is divided by x(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, 61, 309, 725, 1363, 2277, 3521?\nAnswer: 5149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + w + 1. Let f(z) = 49*z**2 + 7*z + 56. Let t = 110 + -109. Let g(b) = t*f(b) - 7*y(b). Differentiate g(n) with respect to n.\nAnswer: 112*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + -2 + 1 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (0 + sqrt(17) + 1))**2 - (-5*sqrt(68)\/sqrt(4) + sqrt(17)).\nAnswer: 1 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/(sqrt(8)\/sqrt(2)))**2*-3.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2283, 9103, 20465, 36369, 56815?\nAnswer: 81803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/243 and 5\/8?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 29*d**2 - 34*d. What is t(-30)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105409453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**2 - 3. Let c(o) = -10*o**2 - 54*o + 54*o - o**2 + 5. Suppose 12*g = -3*x + 13*g + 16, 0 = -4*x + 2*g + 22. Calculate x*r(t) + 3*c(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-21 + 0)\/((-9)\/(-54)*-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9))**8\/((y**7*y*y)\/(y\/(y**(2\/15)\/y))) assuming y is positive.\nAnswer: y**(-401\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -180306.477 and 0.1.\nAnswer: -18030.6477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5112 + -225\nAnswer: -224.4888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.023 and 0.0096019?\nAnswer: -0.0002208437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 - -64. Let d be ((-12)\/5)\/((-7)\/r). Is 4 a factor of d\/78 + 54\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 340 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863799?\nAnswer: 7, 449, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 249, 355, 443, 507, 541, 539?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 33 - 28)*((0*w + 2*w + 0*w)*(0 + 2 - 1) + (-3 + 2 + 3)*((2 - 5 + 1)*(-w + 5*w - w) + (1 + 0 - 3)*(2*w + 2*w - 3*w))).\nAnswer: -630*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 3 - 3)*(-2*j - j + 2*j) + 2*j**3 - 4 + 4 + (0*j**2 - j**2 - 2*j**2)*(j + j + j).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*r - 55 = -3*j, -4*j + 4 = 4*r. Suppose -3*a = -3*w + a + 21, -2*a + j = 4*w. Find the second derivative of -w*l**3 - l + 2*l**3 - l wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -462*y**3 + 7*y**2 - 45200*y wrt y?\nAnswer: -2772*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2\/111)*(30\/(-108) + 32651\/(-5706)).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x + 16 = -109. Suppose 5*j = 2*c + 60 + 216, 2*c + 6 = 0. Suppose -z - 2*a = -9, x*z - 5*a - j = 3*z. Is z smaller than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 15*k - 716. Calculate w(47).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151760789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 22*w**2 + 2*w - 7. Suppose -43 = b + p, -b = -2*p - 3*p + 19. Let x = b - -35. Is g(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntxuu. Give prob of sequence unut.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-24124)\/(-481) - (-2)\/(-13)) + -5 and 70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 9*a + 10. Let n be r(-7). Let l be 0*(-1)\/(-2) - 5. Let w = n + l. Solve 17 = 3*b + 2*t, -2*b + t + w = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, b: 4, g: 1, j: 2, t: 3}. Give prob of sequence gjb.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9007?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 894 a factor of 15241806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -152, 82\/11, -2\/29, -3, 1\/3?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11424430 - 410?\nAnswer: -11430340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 3*h**2 + 0 - 1\/6*h**3 - 5*h. Let p = -148 - -151. Give n(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 2*m - 1. Let c be t(-1). Let f(o) = 12*o**3 - 11*o**3 + 2*o**2 + c + 3*o**2 + 3*o. Give f(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**4\/6 - 3*n**2. Let f be r(-1). Suppose 3*o + f*p = 117, -20 = o - 3*p - 72. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -135? (a) -0.4 (b) 2 (c) 17 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1920)\/2100)\/(4\/10))\/((-60)\/42)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -133\/659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1473 + 19.51016455.\nAnswer: 19.65746455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -122.5 - -122. Which is the biggest value? (a) 0.2 (b) -0.2 (c) l (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5)\/y**1)**(-12)\/(y**(-1\/14)\/((y\/y**(-7\/4)*y*y)\/y))**(-3) assuming y is positive.\nAnswer: y**(747\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -450270 + 1692635. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4097 is divided by 186.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.049, -64, 10?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 73\nAnswer: 14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrkkrrkrkrrrrrrrrrrr. Give prob of sequence rr.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2434 and -145\/18.\nAnswer: 21906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 325 (base 14) to base 3\nAnswer: 212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 327 and 37169.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2975337054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/7*t**2 - 4864\/7*t - 1478656\/7 = 0. Calculate t.\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3909 take away -2?\nAnswer: -3907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71370983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*z - 5*r, 7*z - r + 22 = 12*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/6*(-96)\/20. Suppose -2*r = 5*q - l, 4*q + 0*q + 5*r = 13. Which is greater: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159568b (base 12) to base 3\nAnswer: 22022212211222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p**3 + 0 - 3\/4*p**2 + 1\/4*p**4 - 1\/2*p.\nAnswer: p*(p - 2)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 66*j - 796. Let g be i(12). Let f be ((-2)\/5)\/(9\/15). Which is the biggest value? (a) g (b) f (c) 1\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = 4. Let t(r) be the third derivative of -r**5\/60 - r**4\/8 + 2*r**3\/3 - r**2. Give t(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 9*z**3 + 2*z**2 + 3*z - 4. Is l(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 17*r - 177, 21*g - 4*r = 17*g + 253 + 167 for g.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 54 = 2. Let b = -10 - q. Solve f + 0 = b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 506 - -121?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (107\/1605)\/(6\/40*-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1284*q - 3851*q + 1270*q + 1304*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 - -97. List the prime factors of 630\/40 - x\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/129546 and 1\/216.\nAnswer: 518184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**5\/180 - 37*b**4\/72 - 763*b**2. Let a(d) = 0. What is d?\nAnswer: -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -50*a**2 + 351*a - 11. What is t(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -54, 4, 316, 1014, 2230, 4096, 6744?\nAnswer: 10306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3414 + -0.042.\nAnswer: 0.2994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/1470 and -137\/90588.\nAnswer: 22194060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a week in hours?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2128944.9 rounded to the nearest 1000?\nAnswer: -2129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -108 in 0.7, 6\/5, -133, -5?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a millennium in decades?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13340309 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 115.4 times -456427\nAnswer: -52671675.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*o**2\/5 + 536*o\/5 - 152\/5.\nAnswer: -2*(o - 38)*(7*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0379? (a) -3 (b) -0.3 (c) -207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/6960 and 49\/421776.\nAnswer: 2108880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28715, 28650, 28519, 28304, 27987, 27550, 26975?\nAnswer: 26244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10184416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -667*b + 669*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**3*f - 12*d**3 - d**2*f**2*k + 53*f**2 + f*k + 403*k wrt f?\nAnswer: -d**3 - 2*d**2*f*k + 106*f + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.053164222 - 44.000470222. Let q = -0.071694 + t. Let d = q - -44. What is d rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 8*t - 10. Let b be r(6). Sort -0.3, 0.12, b in ascending order.\nAnswer: -0.3, 0.12, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-16)*4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (146\/28 - (-8)\/28) + -6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17300332 or -17300333?\nAnswer: -17300333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*h + 214 = -4*h + 570 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**5\/60 - r**4\/8 - r**3\/3 + r**2 - 2*r. Let x(u) be the first derivative of b(u). Let n be (4\/(-10))\/((-2)\/20). Give x(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 2424*q + 43775. Give w(18).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*t + 36*t + 48*t - 53*t**2.\nAnswer: -53*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.944 + -13. Let h = u + 4.056. Let n = -7\/15 + 4\/5. Which is the biggest value? (a) h (b) n (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5*(156\/20 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 14*j + 17. Let h(k) = 6 + 2*k + 2*k - 5*k + 6*k. Let z(o) = o**2 + o + 20. Let w be z(0). Let x = w + -3. What is x*h(s) - 6*g(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 12:48 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*s**3 - 5*s**2 + s.\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -478\nAnswer: 95.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 29 = -289. Suppose y = -5 + x. Suppose -5*b = j - 41, 4*b - y + 11 = -j. Calculate the highest common divisor of 48 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3141132, -3141140, -3141154, -3141174, -3141200, -3141232?\n\"Answer: -3*f**2 + f - 3141130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -607 + 2705. Suppose -b - 896 = -s. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 9 + 7)*(-94*j + 391 - 391) - j + 3*j - 3*j.\nAnswer: 1315*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and 0.007.\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 10. Let z be d(-3). Suppose -3*p = 4*v - 23, -v - 5*p = -0 + z. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -264155 at least -265864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-1980) - 306432\/(-5280)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/((-2)\/6). Suppose -5*w = 2*d - 5, 3*d + 6*w - 16 = 7*w. Put d, -4, 0, r in descending order.\nAnswer: d, r, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238257 is divided by 2732.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 16*o + 45. Suppose 0 = 7*w + 652 - 708. Determine m(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99914.2 hours in minutes?\nAnswer: 5994852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-183)\/(-7))\/3)\/(((-84)\/378)\/(14\/9)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6973433?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 778*i**3 - 5438360 + 132*i + 5438373 + i**4 - 3*i**4 wrt i.\nAnswer: -24*i**2 + 4668*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 883*n - 894*n + 165 = 0. Calculate the remainder when 12\/(-2 - (-36)\/17) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - j**3 + 1 + 2. Let d be t(0). Suppose d*g + 27997 = 5*k, 0*k = -2*k + 5*g + 11195. Round k to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/(264\/(-40) - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -983 + 338. What is the tens digit of (73 + -1)\/(-3*10\/t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3 + 5 + 186*v - 374*v + 186*v. Let y(r) = -2*r**2 + 3*r - 1. Let b be y(2). Let h = 1 + b. What is i(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.1 (b) -2\/21 (c) 2\/33 (d) 1.46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 423, -1, -1\/7, 0.14, -3 in ascending order.\nAnswer: -3, -1, -1\/7, 0.14, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*v**3 + 82*v**3 - 52*v**3)*(1 - 1 - 2*v) + (-5 + 3 + 4)*(-5*v**4 + 2*v**4 + 2*v**4) + v**4 + 2*v**4 - 5*v**4.\nAnswer: 38*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 60*l**2. Let d(f) = 12*f**2. Let x(t) = -24*d(t) + 5*q(t). Determine x(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3405197 by 72451.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 21169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1\/7)*w)*w*(w**(-1\/7)*w)\/w*w)**(2\/37) assuming w is positive.\nAnswer: w**(4\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/30 - (-6024)\/20. Suppose -2*c + 154 + u = -3*t, -4*t = 4*c - 960. Is c a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -45517 - 17*h**2 + 91026 + 6*h - 3*h**3 - 45512. Give k(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 5*f - 35. Suppose f*w + 390 = 5*g, -w + 4*g - 160 = w. Let x = w - -81. Solve -1 = -x*h + 6*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -784.\nAnswer: 31.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**3\/6 - p**2 - 9*p. Let q be k(0). Let n = 7 - q. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-384))\/((-6)\/(-13976)). Let a = -219\/8 - t. What is the common denominator of a and ((-61)\/4)\/((-36)\/16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 188, 380, 640, 962, 1340?\nAnswer: 1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*u + 2471, -t + 2*u = 3*t - 3276. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -490 - -534. Suppose 0 = a - 11 - 5. What is the first derivative of a + 16*w**2 - v*w + 44*w wrt w?\nAnswer: 32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3889 is divided by 969.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7707832 take away -296.617?\nAnswer: 7708128.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 405930624 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, o: 1, u: 1, t: 6, c: 4, d: 4}. Give prob of sequence td.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**5\/2 - p**4\/12 + 84*p**2 + 7*p. What is the first derivative of t(g) wrt g?\nAnswer: 30*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794 is divided by 49.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1807, -1795, -1777, -1747, -1699, -1627?\n\"Answer: q**3 - 3*q**2 + 14*q - 1819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2449\/217 + (-1 - (-10)\/14). Let f(i) = i**3 - 13*i**2 + 24*i - 14. Give f(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) -1 (b) 4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 3145?\nAnswer: 3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, 206, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -309550 divided by 5?\nAnswer: -61910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + u - 1. Let p(h) = -41*h**2 + 9*h - 8. Let k(x) = -9*x**2 + x - 1. Let f(l) = 5*k(l) - p(l). What is -2*f(c) - 6*o(c)?\nAnswer: 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2377443874 rounded to 4 dps?\nAnswer: 0.2377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.186*0.04\nAnswer: -0.00744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7880559 is divided by 193.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 13. Suppose -1 = -g, 4*k - 31 = g - d. Suppose -k*p + 56 = 2*y - 3*p, 0 = 2*p + 8. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x - 17. Calculate k(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -d + 3446 + 5580, 3*n - 5*d - 9014 = 0. Is 41 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4337480414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*f - 4, 3*f = -i - 4*i + 16. Suppose 11694 = -i*o + 8*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vph. What is prob of picking 1 p and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20421766 minus 0.01?\nAnswer: 0.19421766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 582 and 194.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15832*f**2 + 41163196*f - 10400 = 0. What is f?\nAnswer: -2600, 1\/3958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -11737\/4?\nAnswer: -11737\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -12. Let j be (-4 - -2 - -1) + 4. Suppose -u*k - 76 = -3*n, j*n = 4*n + 3*k - 34. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 2*x - 4*q + 6*q + 168 + 161, -3*x + 4*q = 323 for x.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 5*u - 8. Let k be b(12). Suppose -2 = 6*g - 2*g - 2*t, -t = 2*g - 9. Suppose -4*x + 665 + 173 = g*q, x + 5*q = k. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x - 4*v + 78, 2*x + v - 47 = 0. Let p = 776 - 710. Calculate the highest common divisor of x and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*m - 4, 72 = -4*s + 3*m + 88. Let w be 7 + 1 - 0\/2. Solve -s*x - w = -0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -21 + 30. Solve 0 = f*b - 4*p - 11, 4*b + 0*b = -3*p - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1036230 divided by 7971.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 851403851\/3360 + -253394. Calculate the common denominator of 91\/160 and v.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5*g - 110, -5*a = -3*g + 5*g + 116. Let f = -2839 - -681. Let u be f\/91 + (-24)\/(-14) + -2. Is u at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (-16860)\/2960 + 17 + 14 - 4\/74.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 3*v**2 + 4*v. Let c be z(4). Let f = c + -1. Let d(t) = t. Let x(l) = 1806*l**2 - 1 - 1809*l**2 + 0*l + 5*l - 3*l. Give f*x(m) + d(m).\nAnswer: 3*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 135*b**2*j**2 - 25*b**2*j - 350*b**2*q**2 - 59*b*j**3 - 1109*j**3*q - 2*j**3 - j**2 - 4*q**2 wrt q?\nAnswer: -700*b**2*q - 1109*j**3 - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 861139509 to the power of 1\/4, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 0. Suppose -z + 3 - 2 = 0. Let q = z - -14. Calculate the greatest common factor of q and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/2*104\/2912?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c**5 - 16496*c**4 - 1089766*c**3 - 16711276*c**2 + 51055480*c - 26283600 = 0.\nAnswer: -2682, -35, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1 + 3*l - 14 + 11 - l. Give i(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.51562 nanoseconds to milliseconds.\nAnswer: 0.00003951562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140 - -292. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.49 - -0.48883. Round m to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c + 0*c)*(-1 - 2 + 1) - 4*c - 1 + 1 - 5 + 13 - 3 - 5 - 104*c.\nAnswer: -106*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osddrdououorodddood. What is prob of picking 2 r?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-65 - 1332\/(-37)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**4 + 498*d**3 + 18*d**2 - 138976*d + 34 wrt d.\nAnswer: 24*d**2 + 2988*d + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-2)*(1 - -1). Suppose 0 = -h*f + 16 + 4. Solve 2 = f*j + 2*p + 6, 0 = -5*j + 5*p - 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.774*33136.\nAnswer: -58783.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 6 + 1 - 14. What is d(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91)\/14 + ((-14)\/4 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkrtnnr. Give prob of sequence rkt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) -0.2 (c) 50 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 701\/718954 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 7:34 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2135175?\nAnswer: 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11771794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trbif. What is prob of picking 1 f and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 7*r**2 + r - 1. Suppose 5*s = -4*i + 15, -4*s + 25 + 28 = -5*i. Let m be x(s). Suppose -3*j = -m*j + 72. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 111.18 and 1.\nAnswer: 111.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.038 - -40.738. Let u = 13.3 + k. Let j = -58.8 + u. What is j rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345*-5.\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 + (2 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*j - 3*j. Suppose -j = 5*c - 65. Let q = 15 - c. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6258 = -4*g + 3*p, p + 1794 = -3*g + 6481. Let j be (-6)\/(-1410)*(-1 - g\/(-18)). Let d = j - 3\/94. Put 2\/15, 5, -2, d in increasing order.\nAnswer: -2, 2\/15, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9265 divided by 6\nAnswer: 9265\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -0.4 (c) -4 (d) -182\/3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/51)*g**10\/g)**(-31)\/((g**(-2))**(-1\/40)*g**(1\/6)*(g**(1\/3)*g)\/g*g) assuming g is positive.\nAnswer: g**(-319021\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8388, -33543, -75468, -134163, -209628?\n\"Answer: -8385*q**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 463 + -463. Let k(a) be the second derivative of 0*a**3 + 0 + 0*a**2 + s*a**5 + 1\/15*a**6 - 1\/6*a**4 - 7*a. Factor k(c).\nAnswer: 2*c**2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**4\/7 + 324*i**3\/7 + 37089*i**2\/7 - 77946*i\/7 - 301608\/7 = 0. What is i?\nAnswer: -71, -2, 4, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byyxpme. What is prob of sequence ex?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8267 - 10371?\nAnswer: -18648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4825 a factor of 1268587583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r - r + 102 = 0. Solve -3*p - 19 = -p + 3*o, -r*o = -5*p + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*w + 39 = u + 120*w, -13 = -3*u + 2*w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + s + 3*s + 22 = 0, -5*s - 19 = -3*w. Calculate the remainder when w + -1*(-29)\/1 is divided by (8\/10)\/(18\/315).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/2 and 91\/172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235244195 to the nearest integer?\nAnswer: 15338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -13.8. Which is smaller: z or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 16*v. Let m(q) = 143*q. Determine -26*d(f) + 3*m(f).\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 + 88. Let k = q + 69. Solve -k*h - 20 = -6*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -1, -774, -5, -1.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -186.\nAnswer: 10\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -827425 or -827518?\nAnswer: -827425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6676 times -0.1?\nAnswer: 667.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-677181)\/(-212))\/((-10)\/(-80))?\nAnswer: 2, 3, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106978 and 12.\nAnswer: 641868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 26*v**2 - 93*v - 924. Calculate p(15).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 13*l**2 + l + 15. Let x be h(-13). What is the hundreds digit of (-747)\/(-5) - (x + (-24)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -2*g**5\/15 - g**4\/3 + 8*g**3\/9 + 8*g**2\/3 + 1357. Factor d(j).\nAnswer: -2*j*(j - 2)*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) 737 (c) 1\/2 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 210166354 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8833 + -8669. Which is greater: s or 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3769164 and -5?\nAnswer: 18845820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - 13 + 25*z + 540*z - 21 to the form t*z + v and give t.\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 n when three letters picked without replacement from azrdzzzzarzrzuznrnnd.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*j**2 - 12*j**4 - 10*j + 18*j + 2*j**3 - 10*j.\nAnswer: -2*j*(j - 1)*(j + 1)*(6*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1222011653 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 6*h - 4. Let v(m) = -5*m**2 - 13*m + 9. Suppose -41 = 77*z - 1042. Give z*o(b) + 6*v(b).\nAnswer: -4*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11309\/350 or 32?\nAnswer: 11309\/350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/26 - 4050\/12870.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4485 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 14*i - 12. Let m be k(14). Suppose u = 3, 4*l - 144 = -4*u + m. List the prime factors of l.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Suppose 0 = -u*s + 29 + 1. Let k = 0 + 10. Calculate the highest common divisor of s and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*t = -88, 6*a + 3*t - 309 = 3*a. Is 27 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/10 - 4 - (-38)\/5. Solve -f - 3*v = -2*v - z, 5*f - 5*v = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -471272.7 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/29, -1\/2, 1, -9, 2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*f**3 + 11*f**3 + 26*f**3)*(30 - 5 + 12).\nAnswer: 4810*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epnpspsnp. Give prob of picking 1 s, 1 n, and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/7 - 45564*a\/7 + 59539008\/7.\nAnswer: 3*(a - 13744)*(a - 1444)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -720 and -0.016.\nAnswer: -720.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1558 >= -1569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5 + 11 = 0. Sort w, -9, 2, -5 in descending order.\nAnswer: w, 2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f + 5. Let b be l(3). Let s be (4 - (-76)\/b)*(-8)\/2. Solve -s*z - z = -20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.18 - 0.32. Let c = 0.06 - d. Put c, -2, 2 in decreasing order.\nAnswer: 2, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j - 2. Determine h(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-84)*8\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o - 15*o + 45 = 3*z + 14*o, 39*z - 3*o = 75 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - p**2 + 7 - 7 + 3. What is v(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 - 3*h**3 - 7*h**3 - 9 wrt h.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 2 - ((-51 - -20) + 38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14427621 (base 8) to base 11\nAnswer: 194706a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shhhfsffsshsssfssfs. What is prob of picking 1 s and 1 h?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500*-395241.\nAnswer: -197620500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b. Let n(v) be the second derivative of v**3\/6 - 81*v**2 - 3808*v. Give n(m(w)).\nAnswer: -3*w - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + -3 + 12 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**7\/630 - 5*q**4\/6 + 15*q**2. Let u(b) be the second derivative of g(b). Let m(h) = 7*h**2. What is m(u(n))?\nAnswer: 112*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - sqrt(576)\/sqrt(4))\/((sqrt(40)\/sqrt(4))\/sqrt(5)) - ((sqrt(288)*2 - sqrt(288)) + -1)*3*4)**2.\nAnswer: -3576*sqrt(2) + 44546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in 2, -1, 7, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5424 + 3*t + 11445 + t - 6021.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 1061c (base 13) in base 5?\nAnswer: 1421400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 - 3 + v**4 + 0*v**4 + (0 + 0 - 2*v)*(-72*v**3 - 75*v**3 + 66*v**3).\nAnswer: 164*v**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*g + 1. Is (56 + -2)*(-1 - (-10)\/g) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 20533029.\nAnswer: 102665145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139 by -3.\nAnswer: 139\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4598) - (sqrt(4598) - -1*sqrt(4598)))*-6 + (sqrt(4598) - 1*1*sqrt(4598)))\/(sqrt(90)\/sqrt(5) + (sqrt(14)\/(-1*sqrt(7)) - sqrt(2))).\nAnswer: 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 9*g**2 + 7*g + 6. What is l(4)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10686685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54406.\nAnswer: 2, 11, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27684 and 252?\nAnswer: 193788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -3*l - 2*l + 14, -g = -5*l + 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4045 and -1.\nAnswer: -0.5955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.57613 + -0.44929. Round w to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjjj when four letters picked without replacement from {j: 3, v: 13}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 + 277836\nAnswer: 277835.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + (2356 - (-2 + 8)) + -7.\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -39, -102, -195, -318, -471, -654?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 4 + 5*v - 851*v**2 + 846*v**2 + 0*v**3. Suppose 11*i = 7*i - 24. Let z(n) = n**2 + 3*n - 14. Let f be z(i). Give s(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 18. Let v(y) = 32*y + 636. Let z be v(-20). Determine i(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 121*x + 3. Let f(m) = 29*m**2. Calculate f(t(k)).\nAnswer: 424589*k**2 + 21054*k + 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 14, -2\/139, -23992?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*(k\/k**25*k*k)\/k)*k**(-34) assuming k is positive.\nAnswer: k**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*6\/(-12)*3872\/(-88).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8454 to the nearest 100.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 8:56 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + h**2 + 3*h**2)*(-15*h + 2*h**3 + 15*h).\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 498778*m**2 - 47*m - 4098?\nAnswer: 997556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*q - 24745, a = q - 4*a - 4971. What are the prime factors of q?\nAnswer: 2, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*t + 467, -y - t + 314 = -141. Suppose y = 2*h - 60. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/1063734 and 103\/12642.\nAnswer: 7446138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 9*j**2 - 27*j + 32. Suppose -9 = -4*w + u + 13, -3*u - 6 = 0. Let m be n(w). Put -24, -2, m, -5 in descending order.\nAnswer: -2, m, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 37 - 37. Let x(t) = -2*t**2. What is x(u(w))?\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -5*s**8\/168 + 5*s**7\/42 - 10781*s**4\/24 + 7045*s**2. What is the second derivative of n(q) wrt q?\nAnswer: -200*q**3 + 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r - r - 2*r)*(4*r**3 - 2*r**3 - 7*r**3 + r) to t + m*r + i*r**4 + z*r**3 + j*r**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, u: 2, g: 3}. Give prob of sequence ugu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 3:31 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/(1\/2). Let p(k) = 5*k + k**m + 5*k - 5*k - 6 + 7*k**2 + 0*k. Let w be p(-6). Solve 0*v - 5*v - 5 = w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 j when three letters picked without replacement from {n: 7, j: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90380 + -47242. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35112279 is divided by 266?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -336?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.002 and 1640291.\nAnswer: 1640291.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -253639.169 rounded to the nearest 1000?\nAnswer: -254000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(0 - (-12)\/(-8)). Let v(q) = q**3 + 6*q**2 - 3*q. Let w be v(k). Let r = w + -14. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/5)\/(f**(-2)*f))\/(f\/(f\/f**(-1\/4)))**(-2\/35)*(f**(-2)*f**(5\/6))\/(f**(4\/7)\/f*f**(-5\/4)) assuming f is positive.\nAnswer: f**(109\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1766*d - 238 = -1756*d + 162 for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 235 = 22*z. Calculate the remainder when z is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34487682*z**4 + 49640272*z wrt z?\nAnswer: -413852184*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -25, -64*q = -3*k - 67*q - 66 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69686.01 decades to months.\nAnswer: 8362321.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19174, 38337, 57498, 76657, 95814, 114969?\nAnswer: 134122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1760 and 514224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 201 = 2*g - 197, 2*x = -4*g - 24. Let t(v) = v**3 - 6*v**2 - 7*v + 2. Let a be t(7). Put a, g, -3 in descending order.\nAnswer: a, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 13*i + 1. Let y(t) = -13*t. Suppose 2*g = 3*g + 5. Let q(p) = -72*p. Let r(s) = g*q(s) + 28*y(s). Calculate -2*b(z) - 7*r(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 10*j**2 - 33*j + 16. Let a be x(13). Let d = 89 - a. Is -5 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*u - 5*j, -4*u - 8 = -j + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-16))\/(16\/(-832)*-26)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -7 (b) 9 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23176758?\nAnswer: 2, 3, 11, 433, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231636635?\nAnswer: 5, 719, 64433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -257*y - 268*y + 526*y + 10 - 110*y**2 - 151*y**2 as m*y**2 + g*y + p and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 850 and 101550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-20)\/7 - (-32 - -32). Factor 2\/7*b - 2\/7*b**3 - y + 6\/7*b**2.\nAnswer: -2*(b - 3)*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2 - 5166*q = 0. Calculate q.\nAnswer: 0, 1722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/3 and (-3)\/2 - 86\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from swdlskd?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 14 + 4. Let l = -12 + a. What is the biggest value in l, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 153\/(-4)*(-8240)\/18540\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000031872 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(5\/3))\/w**7)\/(w**(-2)\/w*w**(1\/4))*(w*w*(w**(2\/11)*w*w)\/w)\/(w\/w**(2\/13)*w)*(w*w**(1\/2)*w)**(-2\/25) assuming w is positive.\nAnswer: w**(-32441\/8580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18 - ((-10 - 0) + (114 - 105))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43, -32, -13, 14, 49, 92?\n\"Answer: 4*l**2 - l - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 2441169?\nAnswer: -2441171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*(sqrt(7) - (sqrt(847) + sqrt(847)*-2)) + 1*sqrt(567)*4*-2)**2 + -4.\nAnswer: 968684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*j + 2, 2*o - 22 = -14. What is the smallest common multiple of 40 and j?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-2 - -9) + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11237561?\nAnswer: 17, 173, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14610, -14616, -14634, -14670, -14730?\n\"Answer: -y**3 + y - 14610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, v: 7, p: 7}. What is prob of picking 1 r and 1 p?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 9:36 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 5*d**2 - 2 - 2 + d**3 + 3*d. Let j be k(4). Is (2\/3)\/(j\/(-54)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -16789 and -500.7.\nAnswer: -17289.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -221470.612 to the nearest 1000.\nAnswer: -221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6149*x + 59 + 40 - 10 + 6148*x in the form a + n*x and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:19 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 209 or 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -102*o - 27. Let b(x) = x - 1. Let f(u) = b(u) - z(u). Let l(m) = 993*m + 7949. Let h be l(-8). Is f(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 9599.0092968521?\nAnswer: -9595.0092968521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 5*n**2 + 2*n - 5. Let u be c(5). Is -104*(u\/(-5))\/2 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s\/s**(-1\/4))**(2\/11)\/((s\/(s**(-2\/9)*s))\/(s\/(s\/(s*s**(-6))*s))*s**(-3\/5)*s**(-2\/5)) assuming s is positive.\nAnswer: s**(-1097\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z - 7*z - 9*z)*((-4 + 2 + 0)*(-3 - 2*z + 3) - 2*z + 0 + 0 + 4*z - z - z + (2 + 2 - 5)*(2 - 2 - z) - 1 + z + 1 + 0*z - z + 0*z).\nAnswer: -110*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 6 + 4, -5*g + 4*t = -36. Determine i, given that -8*i**4 + 5*i**5 - 4*i**2 + 6*i**4 + g*i**3 - 15*i**4 + 8*i**3 = 0.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1\/8 (c) 2\/15 (d) 1985622\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 74\/14 + (-6)\/21. Suppose 0 = j*i, r - 4*i = 5*r. Suppose -5*b = 0, -3*t - t - 3*b = r. Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/(-1 - 15\/(-9)). Suppose 3*x - p = -3*d, 0*x - x - 15 = -d. Let c = d + 9. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a1e12 (base 16) to base 4.\nAnswer: 102201320102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (66\/55)\/((-6)\/(-4700)). Suppose -18*x - 184 = -u. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -518 in -4, 1, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12334538.\nAnswer: 2, 6167269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, h: 7, y: 5, j: 1}. What is prob of picking 3 y?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.5 (b) 226 (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 134*k + 123*k + 84*k + 3410 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**2)**(2\/79)\/(r**(-1\/5)\/r)**(-13))**(45\/4))**(3\/28) assuming r is positive.\nAnswer: r**(-82917\/4424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from lwcooclccwwclloccw.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 41 = -22. Let g(v) = v**2 - 6*v + 10. Is g(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2*6\/8 and (-2)\/7 - ((-2916)\/(-280) - 0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94199958 and 12?\nAnswer: 188399916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 88757640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -66, -60, -16, 72, 210?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 901, 1804, 3021, 4552, 6397?\nAnswer: 8556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1014320433 + 1?\nAnswer: -1014320432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**3\/v)\/(v*v**1))**(-50))**49 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 8*m**2 + 8*m + 10. Let y be w(-7). Let l be (2\/y)\/(2\/12). What is the first derivative of 2 - 5*s**4 + 7*s**4 + 4*s**l wrt s?\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.343891 to 2 decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**3 + 354. Let h(v) = 44*v**2 + 1. Give h(n(t)).\nAnswer: 396*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**11\/i)\/i**(-5))\/((i\/(((i**5*i)\/i*i)\/i*i))\/i*i)**38 assuming i is positive.\nAnswer: i**206","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 340777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 802, 3431, 7942, 14377, 22778?\n\"Answer: 7*g**3 + 899*g**2 - 117*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42c (base 13) to base 8.\nAnswer: -1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 7. Let z be m(-4). Suppose -z = -2*h + 13. Suppose -g + h = 3*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -161*n + 164*n. Suppose -2*p = -0*p - 12. Solve s - p = -n*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.28 - -395.72. Let z = f - 400. Which is the closest to 0.1? (a) z (b) 0.13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2956280.\nAnswer: 2, 5, 73907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 12, 16, 24, 36, 52, 72?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Suppose 4*c = -j*c + 60. Solve 2*n + 3*d = -0*n + 12, -c = -5*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21387*w - 61741*w + 21382*w + 18974*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 1008\/(-32)*(-30)\/35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 426341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24329547.\nAnswer: 3, 11, 245753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 2. Suppose p*o = 3*o + 12. List the prime factors of 3\/o + 14\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4648 and 2854453.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5\/3 + 3928*c**4\/3 + 47380*c**3\/3 + 87112*c**2\/3 - 332066*c\/3 + 193648\/3 = 0. Calculate c.\nAnswer: -7, 1, 1976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.352 - -5.352. Put -2\/3, 3, n, -0.26 in descending order.\nAnswer: n, 3, -0.26, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 73253.322 nanoseconds?\nAnswer: 0.000000020348145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/4)\/((-26)\/312)*(-18684)\/3460?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539 = 4*p - 2*s - 105, s - 327 = 3*p. Let d = -105 - p. Suppose 14\/11*i**4 + 0 + 10\/11*i**3 + 2\/11*i**2 + 0*i + 6\/11*i**d = 0. Calculate i.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42980534.7 to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**2 + 22621*l*q**2 + 224*l*q - l - 92563947*q**2 wrt l?\nAnswer: 4*l + 22621*q**2 + 224*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/5 (b) 5 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**4\/10 + 211*m**3\/5 - 636*m**2\/5 + 1586*m. Factor y(b).\nAnswer: 6*(b - 1)*(b + 212)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/7))**(-30)*y\/(y**(1\/12)*y)*y**7)**(-9\/2) assuming y is positive.\nAnswer: y**(4737\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1439110 divided by 5.\nAnswer: -287822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -129, -303, -477, -651?\n\"Answer: -174*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5 - 110*s**4 - 1236*s**3 + 6112*s**2 + 94720*s = 0. Calculate s.\nAnswer: -37, -16, -10, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1948274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let t be -90*(-1)\/(3\/k). Let c be (2 + 1 + -4)\/((-1)\/24). What is the greatest common divisor of c and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + (sqrt(1088) - (sqrt(1088) + 2)) + sqrt(1088) + 4 - sqrt(1088)) + 4)**2 - (-2 + sqrt(51)\/(sqrt(3) + -4*sqrt(147))).\nAnswer: 2593*sqrt(17)\/27 + 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004309 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - (-6 + 1 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/((f*(f*f**(-2\/9))\/f*f)\/f))\/(f*f*f**(-1)*f*f)**(1\/5) assuming f is positive.\nAnswer: f**(-242\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/5994 and 5\/72.\nAnswer: 23976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.369897 years?\nAnswer: 100.438764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a731 (base 14) in base 4?\nAnswer: -121303113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 10 = 3*s, s = -3*j + j - 6. Let v be j\/3*18\/(-4). Solve 5*q = p + v*p - 33, 0 = -q + 3*p - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 9 = 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 4*t + 9. Let i be p(-5). Let k be i - (0 + 2 + 0\/(-1)). What is the third derivative of -30*n**2 - 73*n**3 + 12 - k + 23*n**3 wrt n?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 5. Find the second derivative of 3*v - 17*v**f + 21*v**5 - 9*v wrt v.\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956125?\nAnswer: 5, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1757, -1740, -1715, -1682?\nAnswer: -1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**6\/1080 - m**5\/90 + m**4\/18 + 3*m**3 - 22. Let s(d) be the third derivative of f(d). Suppose s(h) = 0. Calculate h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/495 + 28210\/(-3150).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -29, -49, -81, -131, -205, -309, -449?\n\"Answer: -w**3 + 3*w**2 - 16*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**5\/120 - x**3\/12 - 3*x**2\/2 + 4*x. Let t(w) be the first derivative of u(w). Let t(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*y = g + 10, 0 = -4*g + 5*y - 12. Suppose -28*h + 11*h = -187. Let t(k) = -4*k - 1. Let i(f) = 21*f + 6. Determine g*i(x) + h*t(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(12) - 5*sqrt(12)*-1) + sqrt(12))\/(-5*sqrt(4)*1))**2.\nAnswer: -147\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76814 = 5*o - 3*u, -u = -2*o - 4*u - 30734. Let x = o - -25317. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 11 + 14 = 0. Suppose 0 = -x - s + 17. Calculate the smallest common multiple of 50 and x.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 8\/5, 0.05?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4321 - 0.06?\nAnswer: 4320.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492718 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52371 is divided by 2907.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: 1561*-474.067\nAnswer: -740018.587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epeepeceeeppeeeepe. Give prob of picking 2 e.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2001 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222673 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*w**6*x - 4*w**4*x - 31*w**3*x + 3*w**2*x - 11666*x wrt w?\nAnswer: -3000*w**3*x - 96*w*x - 186*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 350687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.481 or 968\/3?\nAnswer: 0.481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 + -79. Let f be (2 + v)*(-40)\/(-16). Suppose 4 = -2*b, 0*d + 6 = 2*d + f*b. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {f: 10, u: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 567 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119564 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q + 0*q + (-1 + 2 + 1)*(q + 4*q - 4*q) + 2*q + 3*q + 0*q)*(-7 - 6 + 6)*(-16 - 5 + 15)*(2 - 4 + 4).\nAnswer: 504*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53.4 + 50. Let c = -3.7 - j. Let o = c - -0.1. Is -1\/5 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*c + 4*b = 114*c + 24, 13 = 2*c + 3*b. Suppose 165*s - 3 = 164*s. Solve 2*r - 21 = c*o, 3*r + 16 = -s*o + o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -259c129?\nAnswer: 259c131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 3. Let d(y) = 1 - 2*y - y + 2*y. Let l be (-1 + 2 - 0) + -5. Let c(t) = l*d(t) - w(t). Calculate c(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1736 + 1736 + 43*x**2 - x**2 + 0*x**2 + 3*x**2 + (-4*x + 0*x + 2*x)*(3*x + x - 2*x) - 3 + 3 - 3*x**2 - 3*x**2 + 2*x**2 + 0*x**2.\nAnswer: 37*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-30))\/((-6)\/(-54)))\/(54\/180).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 112330271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 5\/(-2))*-24. Let g be ((-77)\/(-28)*1 + -3)*0. Suppose g = x + 2*x - s. Solve -1 = -k - 3*j + 2, 3*j - 12 = -x*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4 + 80. Suppose -5*j - h = -2*h - p, -3*j - 3*h + 15 = 0. Factor -6*v**3 + 8*v - 5*v + 3*v**j - 1 + 3*v - 2.\nAnswer: 3*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 6)*(-r + 4*r - 2*r) + (-4*r - 3*r + 3*r)*(-3 + 4 - 4).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2.6, -2, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*p + 63 - 1, 0 = -4*p + 2*m + 124. Solve p = 3*y + 22 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000111 + 100010000?\nAnswer: 10001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*b - 10, 4*l - 4*b + 2*b = 10. Let o(m) = 2*m**2 + 3*m - 3. What is the remainder when o(-4) is divided by (-3 - -2) + l*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**6\/45 + g**5\/20 - g**3\/18 + 11*g. Let u(a) = 0. What is a?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*g + 6 = 1, -3*g - 30 = -3*k. Sort 0, 19, k in descending order.\nAnswer: 19, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -193 or 220627?\nAnswer: 220627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 k when three letters picked without replacement from {x: 6, k: 4, p: 2}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -11*o**2 + 20*o**3 + 10*o + 29*o**3 - 48*o**3 = 0?\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a + 1712 = 1065 + 970 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 80. Let y be 36\/2 + 2 + -1. Suppose 4*f - y = 5*c, -3*f + 5*c + 23 = 10. What is the greatest common factor of p and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**5\/r*r)*r\/r**2)**(2\/71)*((r**2)**45)**(-12\/13) assuming r is positive.\nAnswer: r**(-76810\/923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2905 + -2904.6. Which is the closest to 0.2? (a) i (b) -2\/5 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 24207 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -50777856\/5 greater than or equal to -10155571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 4:43 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h, 6*h + 5 = -5*i + h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + 4 + sqrt(288) + -2 + 1 + sqrt(288) + -4*(sqrt(288) + -1))**2.\nAnswer: -5780 + 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 2*s**2 - 2*s - 1. Let d be l(-2). Let n be ((-3)\/9)\/(4 - d). Let r = 5.1 - 0.1. What is the nearest to -2\/5 in -5\/6, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 947790 divided by 18.\nAnswer: 52655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 9*o - 9. Let k(v) = 4*v - 4. Let x(u) = -3*f(u) + 7*k(u). Let j be x(3). Suppose -98 = -3*c + 5*i, 5*c - 26 - 127 = -j*i. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24 + -109826.\nAnswer: -109826.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -8. Let h(u) = u**2 - 4*u - 8. What is the tens digit of h(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4102 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -4*l + 892. Calculate the greatest common factor of l and 966.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a - 10. Calculate j(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.8 and 0.1775419?\nAnswer: 0.6224581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 13137?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*z - 134, 4*g - z - 466 = 155. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/15 + 3038*u**2\/15 - 1214*u\/3 + 3034\/15.\nAnswer: -2*(u - 1517)*(u - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/2, -2\/31215 in descending order.\nAnswer: -2\/31215, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 2*h - 2. Let b(z) = -2*z**2 + 111*z - 1. Give -b(i) + c(i).\nAnswer: i**2 - 113*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 968208 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-76 - 1)\/(-1 + -5 + 5). Calculate the greatest common factor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2. Let p(y) = 60837790*y**2. Calculate d(p(f)).\nAnswer: -7402473384168200*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**8*b)\/b)\/b)\/b**(2\/25))\/((b**21*b)\/(b\/(b\/(b\/b**(-7)*b*b)))) assuming b is positive.\nAnswer: b**(-127\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itliliwllllil. What is prob of sequence lit?\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 3, -4.\nAnswer: -90, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1611016537 to the nearest integer?\nAnswer: 40137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 8\/953?\nAnswer: 8\/953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) + 40\/(-60). Let v(g) = -83*g**3 + h*g**2 - 5*g**2 + 4 + 84*g**3. What is v(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (198\/4)\/((-216495)\/19244).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(((-70)\/42)\/(20\/8))*-23\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -3 - (1 + (5 - 8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -643564 + -543?\nAnswer: -644440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4206502958?\nAnswer: 2, 7, 173, 1736789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2927749, -2927668, -2927577, -2927470, -2927341, -2927184, -2926993?\n\"Answer: p**3 - p**2 + 77*p - 2927826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 18*x**2 + 314*x - 46. Give f(23).\nAnswer: 4531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one halves of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s + 44. What is n(14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ooooowowobooowoob.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - h + 12. Let m be r(5). Let u = 53 + m. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (-21 - 2) + -24?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 455839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -1\/112, 5, 4, 48, -1?\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 48008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*(-1)\/(-1))\/(21\/(-42)). Suppose a + 4*f = -399988, 0 = 2*a + f - k*f + 800003. What is a rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -812*y**2 - 1203*y**2 + 1165*y**2.\nAnswer: -850*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.533 + 0.467. What is the biggest value in s, -6\/5, 4, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.043?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28580 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + 91 + -19 + -1 + 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, 4, 3\/16, 0.4, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3143 - -31144223?\nAnswer: 31141030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 8*w - 1. Let n = 18 - 9. What is the remainder when 30 is divided by t(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 145279 divided by -127\nAnswer: -145279\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from xsqbf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/135)\/(5*3\/(-225)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.85 times 135.32?\nAnswer: 115.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d**3 - 2*d**2 - 15*d + 169. Does 15 divide w(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6447825.8 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4987 and 704?\nAnswer: 3510848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102010012202 + -1112?\nAnswer: -102010021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + -7 + 7 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**3 + 20*k**2 - 42*k + 8. Let j(x) = -x**3 - x**2 + x + 3. Let h(g) = -4*j(g) - l(g). Solve h(m) = 0 for m.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*w - 127*w - 801 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-2))\/(4 + 1 + -3). Let s(r) = -29 + 11 - 2*r**t + 18. Let y(v) be the second derivative of 2*v**3\/3 + 2*v. Determine y(s(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 - 79 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22048 is divided by 196?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 + 73. Let w be (-6)\/(-7)*(7 + o). Suppose -3*q = -w, -3*m + q + 312 + 5 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280 divided by -5\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20072.\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 2*x**3 - 8*x**3 - 13)*(7*x - 2*x - x).\nAnswer: -24*x**4 + 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194 - 75. Let l = -116 + x. Solve -k - 2*m + 12 = 0, -l*m + 25 = 2*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a9 - 0?\nAnswer: 8a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*p**4*x**2 + 10*p**4 - 18*p**3 + 6*p**2 - p*x**2 - p - 41 wrt p?\nAnswer: 672*p*x**2 + 240*p - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3142659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 815724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1945*p + 8320. Let k be l(4). Calculate the greatest common divisor of 918 and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143645, -287285, -430925?\nAnswer: -574565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.81 + 0.19. Let o = -18 + r. Sort o, 0.3, 6 in descending order.\nAnswer: 6, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*c**2 + 5*c**2 - 3*c**2)*((-c - 1 + 1)*(22 + 17 + 9) + 4*c + 7 - 7).\nAnswer: 44*c**3 - 88*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3)\/a)**(-20))**7\/((a**(-1\/3))**26)**(1\/7) assuming a is positive.\nAnswer: a**(662\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 171*p - 1670. Let a be r(10). What is the greatest common divisor of a and 7920?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30448*i**3*p**2*z - 6*i**3*p**2 - 16*i**2*p*z - 236*i**2*p - 25*i*p**2*z + 2*i wrt i?\nAnswer: -182688*p**2*z - 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**2 - 8*z + 62. Calculate the remainder when o(4) is divided by 61.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, -8, 5 in decreasing order.\nAnswer: 7, 5, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + 1 + sqrt(176)))**2.\nAnswer: 16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.01, 2, -1.3, -0.5865, 13?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 - 15 = 0. Find the common denominator of ((-2)\/96)\/(n\/(-1870)) and -55\/78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43634 = 25*x - 226334. Is 63 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of x**3 - 12*x**2 + 133*x + 67117 wrt x.\nAnswer: 3*x**2 - 24*x + 133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 171 - 174. Let d = -1 - b. What is the biggest value in -1, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 151 and 29042\/191 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139111920 and 16560?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7652164?\nAnswer: 2, 13, 31, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 191082807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -10, 0 = -m - 2*h - 2*h + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + (-19)\/(-5) + (-1 - -2). Let i be (1 - 1) + (-2)\/4. Sort -5, i, x in descending order.\nAnswer: x, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40016)\/7137)\/328)\/((-2)\/45).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 40 + 27 - 25 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 4*p**2 + 7 + 8*p + 1\/3*p**3. Give h(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 482590877, 482590879, 482590881, 482590883?\n\"Answer: 2*a + 482590875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 55*c + 100*c + 2 - 12 - 205*c + 71*c - 4*c**2. Determine g(8).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 995*l - 19975. Calculate u(-21).\nAnswer: 1361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 412\/63 - 64\/9. Suppose -y = -4*y + 6. Suppose -y*h = -2*j - 2, 6*h = h - 2*j - 23. Which is the biggest value? (a) -5 (b) h (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733*u + 264*u = -286*u + 6954 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32\/51 + 2\/51. Let h(o) = o**2 - 3*o - 14. Let l be h(-2). Which is the fourth smallest value? (a) l (b) -5 (c) s (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -14*g**2 - 2*g - 3. Determine y(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18626 (base 15) in base 11?\nAnswer: 543a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, 4, 1\/6, 1\/2, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 - 8)*(612 - 1215 + 163*x + 611) as y*x + w and give y.\nAnswer: -2119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + 13*w - 3*w + 0*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7590446 to the nearest integer?\nAnswer: 2755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4362947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8*(-4 + -4))\/(1 - 0). Suppose -41 = -q + m. Let c(x) = 2*x**3 - 3*x**2 - x - 3. Let f be c(3). Calculate the highest common factor of f and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 + 17*x**2 + 82. Calculate g(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 16) to base 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.106 or 0.8?\nAnswer: 0.106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06554 + -0.13446. What is the nearest to -3 in -9, -1\/2, 4, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**2 + 400*r - 6400 = 0.\nAnswer: 20, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 14*t + 19. Calculate i(14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/(-48))\/((-2)\/(-300)) and (-1)\/5 - (-569)\/(-30).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/36)\/((32\/(-12))\/(-4)*3781\/398).\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let y be ((-2)\/12*1)\/((-267)\/801). What is the nearest to n in -5, y, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -965\/104? (a) 1\/6 (b) 0.2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 238 - 231. Let o(d) be the third derivative of d**6\/120 + 7*d**5\/60 - d**4\/4 + 5*d**3\/3 - d**2. What is the tens digit of o(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 11:09 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 14*t - 12*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 332 - -1134?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1112259 from 0.06168.\nAnswer: 1112259.06168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = p - 362, -42*w - 1051 + 2973 = 2*p - 1862 for w.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10391078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by -1*364\/(-49) + (-4)\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 13*a**2 - a - 7. Let f be g(13). Let x be 14\/21 + 22\/(-6). List the prime factors of 83 - (x - 2)*(-8)\/f.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1440999\/55 + -26199. Calculate the common denominator of 109\/10 and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9471 - 1.092. What is o rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i + 106 = 58 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 945 and 4421655.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -490 (base 10) in base 16?\nAnswer: -1ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3 + 4*c - 3. Let d(j) = -3*j**3 + 5*j - 4. Let l = 2 + -7. Let b(i) = l*n(i) + 4*d(i). Differentiate b(r) wrt r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = -r + 3*r. Let k(i) = 2*i**3 - 4*i**2 - i + 6. Let o be k(2). Calculate the remainder when r is divided by 290\/o*10\/25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*q - 4 = 0, -2*q + 6 = q. Calculate the remainder when (5 - -9)\/(l + 72\/(-38)) is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -8 + (17 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 13*u**2 + 11*u + 10. Let t be s(-10). Suppose t = 5*w - 0*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 - 2299 + 1153 - 2*z**2 - 44*z**3 + 1149 as k + y*z**3 + n*z**2 + u*z and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 10:24 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017341 to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -10. Let r(j) = -2*j - 1. Let l be r(-2). Suppose z - l*u - 39 = u, 5*z - 170 = -5*u. Calculate the highest common divisor of z and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 o when four letters picked without replacement from fooooooofofooo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 84\/29 (b) -4\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5315735?\nAnswer: 5, 83, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - x**2 - 3*x**2)*(-23*x**3 + 20*x**2 - 20*x**2).\nAnswer: 69*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 191\/4. Which is bigger: u or -7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -8) + (-3 - 0). Suppose -5*l - 2*k = -21, -2*l - b*k + 7 = l. Let u = l - 3. Solve -3*i - 4 = -u*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 8 = j, 547*k = 4*j + 545*k + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/21 and -11\/690.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-3)\/(3\/(-103)). Let k = r - -71. Let u = -3 - k. What is the highest common divisor of 45 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -30. Let y be 0*(-3 + t\/6). Let k(g) = g**3 + g + 4. Let j be k(y). Solve -x - 10 = j*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 - 28. Suppose 3*j + m - r = -4*m, 5 = -3*j + 5*m. Let s(p) = j - 5 - 7*p**2. Let f(u) = u. Determine s(f(q)).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r + 5*b + 3947, -r + 988 = -b. Let d be (4 + (-38)\/10)*(-18 - -18). Suppose d = -6*u - 315 + r. List the prime factors of u.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(1715))\/(-4*sqrt(80)*-3).\nAnswer: 7*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a**2 + 153 + 168 - 443 - 2*a**3 + 171.\nAnswer: -2*a**3 - 20*a**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16.6 and -3.\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2319250959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 8 + 26)*(-3*g + 3*g**2 + 3*g - 2) to m + f*g + p*g**2 and give p.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 135 = y. Suppose -373 = -3*f + y. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/3, 2\/19, 234, 0.4 in increasing order.\nAnswer: 2\/19, 1\/3, 0.4, 2, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tettsyttt. What is prob of picking 3 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 6*g**2 + 21*g - 17. Suppose -88 = m - 2*m - 10*m. What is l(m)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**2 + 4*b**2 + 2*b**2 + (-4 - 2 + 7 - 4*b)*(1 + 2*b - 1).\nAnswer: -6*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p - 15*p - 25760 = -47*p. Calculate the greatest common divisor of 1127 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**4 + 2*l**3 - 783*l + 14585 wrt l.\nAnswer: -4*l**3 + 6*l**2 - 783","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*2*(-65)\/15. Let c be (r + -1)\/2 - 0\/2. Solve 4 = 2*h - c*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d**3 + 3*d**2 - 2*d. Let g be t(2). Suppose -6*r + g = -130. What is the greatest common factor of 245 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/58)\/((-785)\/(-45530))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1847 - 374. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-277)\/340 - (((-330)\/649)\/15 - (-2712)\/(-3540)).\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4825346?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + -0.4. Let o = -6359 - -6365. Sort t, -12, o in ascending order.\nAnswer: -12, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3087797930 minus 2?\nAnswer: -3087797932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13757 and 481495?\nAnswer: 481495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + 4*(sqrt(9)\/sqrt(3) - sqrt(3))) + -3 + (sqrt(147) + -2*sqrt(147))*1)**2.\nAnswer: 84*sqrt(3) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e5 (base 16) to base 8.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12008 is divided by 324.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 164*w**3 - 2*w**2 - 2*w - 1. Let o be t(-1). Let h = -55 - o. What are the prime factors of 2 - (2*h)\/(-4)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-9))*r)\/r**(-2\/5))\/((r**(4\/3)\/r)\/(r**(1\/4)\/r)) assuming r is positive.\nAnswer: r**(559\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152d5a1 (base 15) to base 8.\nAnswer: -72375015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -23413?\nAnswer: 23400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**3 + t**3 - 3*t**3)*(-22308 - 78753 - 7744 - 30609 - 94703 + 35346) to m + q*t**2 + v*t + g*t**3 and give g.\nAnswer: 596313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 452303 (base 6) to base 9\nAnswer: 57263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*l + 109*l + 475332 = 4*n, -n = l - 118839. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -10*j - 10. Suppose 4*a - 8 = 0, 10*n = 15*n + a + 33. Let s(d) = -2 - 7*d - 3 - 2 + 0. Determine n*s(m) + 5*u(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = l + w, 45 = 6*l - 3*l - 5*w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 4 - -3) + -47. Find the common denominator of 58\/9 and 30\/b - (-40)\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/3 + 1. Let f = -55\/2 + 29. Which is the closest to g? (a) f (b) 1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257550899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1 + r + 3 - 2. Let d(i) = -5*i. Calculate b(d(g)).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -0.3, -7, -4, 0.51, -2, 70?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 12*d - 5. Let q(a) = a**2 + 11*a + 5. Let r(n) = -5*m(n) - 6*q(n). Let j be r(-5). Which is smaller: 2\/19 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**3 - 3*k**3 - 4*k**3 + 10*k**3 + 19*k in the form f*k**2 + d + a*k + z*k**3 and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 39 = 5*t - 0*d, -3*d = -12. Calculate the remainder when 12 - -25 - (0 - -4) is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 1 = 2. Let p(v) = -15*v - 1. Calculate the remainder when 40 is divided by p(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -458*i + 6876. Give l(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -230579.21 and 0.7.\nAnswer: -161405.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7086077 or -7086083?\nAnswer: -7086077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + 103893*q**4 - 103892*q**4 + q + 33*q**2 - 2 + q**2 in the form l + t*q**4 + b*q**3 + h*q**2 + a*q and give h.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 - 3 + 3 + 7*p**5 - 5*p**5 + 16*p**5 + (0*p**4 + 0*p**4 + 2*p**4)*(0*p + p + 0*p) - 2*p**5 + 5*p**5 - 2*p**5.\nAnswer: 22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 92115786 a multiple of 1152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18858494777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3411 + 3278. Suppose -u + 6*u + 4*j = -809, 2*u = -2*j - 322. Let m = w - u. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eegeeeeeeeee?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d - 4. Let v be r(-3). Suppose -q = -v*f - 32, -27 = -4*q - f - 4. Solve 0 = l + 4*i - 15, -4*i + 42 = -3*l + q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 71, 246, 583, 1136?\n\"Answer: 9*r**3 + 4*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 562 and 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10.3 + -2478567789\nAnswer: -2478567799.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 62426239*w\/4 - 31213119\/2.\nAnswer: -(w + 1)*(w + 62426238)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 939, 2140, 3835, 6024?\nAnswer: 8707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**3\/3 + 11*j**2\/2 - 7*j - 938. Determine n(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185746 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -45) + -43 + 1 + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0924 and 3.\nAnswer: 0.2772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -7351 and 1023.9975.\nAnswer: -6327.0025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-97)\/(-14841)*-51 - (0 + (-4)\/66)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -13 (c) -21 (d) -4\/3 (e) 2\/9 (f) -4\/37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3))**(-19)\/((o*o**(-11))\/o**(1\/5)) assuming o is positive.\nAnswer: o**(58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/2 (b) -1.3 (c) 6 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(3*1\/6). Let u(c) = c**2 + 15*c + 3. Let b be u(-14). Let t = -7 - b. Sort t, 5, y in ascending order.\nAnswer: y, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 465792433 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t - 25. Suppose 5*w + 5*b = 10, 4*w + 7*b = 10*b - 27. Which is greater: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/2*36\/(-45). Suppose 20 = 2*f - t + 3*t, 3*f - 40 = n*t. Let g(u) = 2*u**2 - 12*u - 3. Is g(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -237858, -475688, -713520, -951354, -1189190, -1427028?\n\"Answer: -t**2 - 237827*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104346684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.55 take away 220042?\nAnswer: -220035.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -s - 3*s - j, -2*j = -2*s - 2. Sort 4, 14, s, 2 in ascending order.\nAnswer: s, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and -2.495.\nAnswer: -52.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-49)\/6)*3\/(-9)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -0.2, 4, 0.15, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(91)\/(sqrt(28)\/sqrt(4))) + 0 + (sqrt(13) + 2 - sqrt(13)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 2*d**2 + 2. Let u(p) = -3*p**2 - p + 8. Let j(z) = 1. Let x(o) = -5*j(o) + u(o). Determine -3*f(r) + 2*x(r).\nAnswer: 3*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 396.7747 to one dp.\nAnswer: 396.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.68 - -15.\nAnswer: 17.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.16*2.7\nAnswer: -0.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.94 + -0.06. Let r = -0.41 + 0.01. Let g = 77 - 74. Put g, l, r in descending order.\nAnswer: g, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 2*u + 2. Let f be b(3). Let o = 0.27781 + 8.72219. Sort 4, 0.2, f, o in decreasing order.\nAnswer: o, 4, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -784 - -1197. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 5*d = 37, 4*d + 525 = 4*w + 601 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s - 22. Let g be f(4). Suppose g*j + j + 69 = 3*d, 0 = -d - 3*j + 19. Calculate the greatest common divisor of 55 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 89.61327 nanograms?\nAnswer: 0.00000008961327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 21 = j. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**4 + 13455*d**3 - 187235*d**2 - 414855*d - 214160 = 0?\nAnswer: -1, 16, 2677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/14 - 13\/42. Let r = -13 - -8. What is the third biggest value in -2\/5, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - v = 7, 5*r - 29 = -3*v + 5*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -16*g + 98. Let k be f(6). Let l = -1614184 + 3774181. Suppose w = 2*w + k*p + 540002, -3*p = -4*w - l. Round w to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**(-22)*j))**(-14\/5) assuming j is positive.\nAnswer: j**(-322\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 32*f + 208. Let u be m(6). Which is smaller: 399 or u?\nAnswer: 399","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 0.2 (b) 0.4 (c) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 16*i**3 + 4*i**2 - 13*i + 13. Let q(y) = -35*y**3 - 9*y**2 + 27*y - 27. Let s(x) = 9*n(x) + 4*q(x). Let u be s(1). Solve 0 = -3*k + u*k - 7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -73388, -73388, -73390, -73394, -73400, -73408, -73418?\n\"Answer: -w**2 + 3*w - 73390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342372.\nAnswer: 2, 3, 103, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -4. Let r = 1 - t. What is the first derivative of 2*x + r*x**2 + 0 - 2*x + 3 wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1816 + 2594. Suppose -c = -3*a + 4*w, 4*a + 5*w - 153 = 905. Is a 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 zlslzhblesez. What is prob of picking 1 s and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 5*v - 3. Let r(a) = a**2 - 4*a + 2. Let k(w) = 2*w**2 - 7*w + 3. Let d(j) = 3*k(j) - 7*r(j). Let q be d(7). Let y be l(q). Is -2 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {o: 1, v: 2, p: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/19 (b) 2\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - w)*(-7 + 7 - w**2) - 2*w**3 + 0*w**3 - 2*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*u**5 + u**4 + u**3 - 252*u**2 + u + 143466.\nAnswer: 80*u**3 + 12*u**2 + 6*u - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 69652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/(-12) + 3)*10. Sort 4, -5, w, 0 in ascending order.\nAnswer: -5, 0, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 25 = 5*s, 0 = c + 5*s + 25. Let r = 6 + c. Let k = r - 6. Solve 3*i + 9 = k, 3*p + 2*p - 3*i = -11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 34*h - 34*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18542192.\nAnswer: 2, 1158887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = 127 - 239 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005761756 to seven decimal places.\nAnswer: 0.0000576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 317 - -366. What is the third derivative of n - 683 + 0*b**6 - 4*b**6 - 13*b**2 wrt b?\nAnswer: -480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 3\/2*f**2 + 3\/2*f**4 + 0*f + 0*f**5 + 8\/3*f**3 - 37 - 1\/6*f**6. What is k in l(k) = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38 + 22*x + 92 - 30)*(-13 - 9 + 9) to the form q + u*x and give q.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -5. Let m = -3 + v. Solve -5*x + 5*y - y = -24, 4*y = x - m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -4)*-6*(-3)\/(-3). Let i be (42\/(-15))\/(x\/90). What is the highest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1\/18, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*n + 22, n - 28 = -z - 4*n. Let m = -8 - z. Let h = m - -13. Calculate the highest common factor of h and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76694*u**3 - 38386*u**3 - 38306*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2103058?\nAnswer: 2, 233, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9648 is divided by 8421.\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1293 - 18115\/14. Find the common denominator of 65\/54 and z.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211\/285 - 8\/57. Which is the nearest to -1\/3? (a) -2 (b) s (c) -2\/13 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686546080 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24809 a multiple of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3033321 (base 6) in base 8?\nAnswer: -432361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 6289?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*l - 18. Suppose 0 = -l*a + 2*j - 2 + 21, j = a - 8. Let q be (-527)\/a + 5\/((-60)\/16). Round q to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*x = -121, -81 = 6*i - 8*i - 3*x. Let c = i + -36. Solve -6*m - c = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times 89.761?\nAnswer: 1615.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 294\/49*1\/(-2 + -3)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -0.3 (b) 5 (c) 6 (d) 2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 7*d**3\/6 + 16*d. Determine h(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 u, and 1 m when three letters picked without replacement from qqmmmumqmmuuuqumuumu?\nAnswer: 64\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4\/5 (c) -5 (d) 3\/5 (e) -100\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54733 and 1.\nAnswer: 54733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3364291989 take away 347?\nAnswer: 3364291642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-35) + (-243)\/(-7). Solve -5*k = 2*y - 30, -5*k + 10 + c = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -9*b + 7*b + 30, 2*u + 2*b = 18. Solve -6 + 6 = u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25320, 25319, 25316, 25311?\nAnswer: 25304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678605135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 47312 to the nearest one hundred.\nAnswer: 47300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 16*c**2 + 5*c + 3. Let r be a(-3). Suppose j + 2*j = -r. Let k = -28 - j. What is the highest common divisor of 24 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -259 + 259. Suppose -3*y = -u + 46, z*u - 3*y = -2*u + 83. What is the remainder when u is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 7*j)*(2 - 6 + 2)*(-4*j**2 + 4*j**2 + 2*j**2).\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, k: 2}. What is prob of picking 1 b and 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 568.426 seconds to milliseconds.\nAnswer: 568426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/10 and 65\/69028?\nAnswer: 345140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 171757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/4)\/(1\/(-12)). Let q be -6 + 15\/(30\/(-28)). Let p = c - q. Solve 4*m - p + 6 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 - 3) + (4 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g**(4\/3))\/g*g**(-10))\/(g**(2\/9))**7)**50)**(2\/123) assuming g is positive.\nAnswer: g**(-8300\/1107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -1\/3, -2\/25, 1\/5, 8 in descending order.\nAnswer: 8, 1\/5, -2\/25, -1\/3, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/3*-1 - 248\/56.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -844\/99 + 29\/11. Find the common denominator of k and 34\/19.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, -2\/3, 0, -99, 331?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 4\/48733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, -98, 45, 1, 2\/7?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 15*z + 1. Let t = -16 - -24. What is the remainder when a(2) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4709397 by 609.\nAnswer: 7733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (15 - 7) - (529 + -526).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 140*o + 430 = 0, o + 73 - 84 = 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -w - 10, -5*b - 4*w - 1 = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**5 - 2*h**4 + 12384*h**3 - 2097*h + 1546?\nAnswer: 80*h**3 - 24*h**2 + 74304*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -18?\nAnswer: 35\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**4*y - 8*q**4 + 2*q**3*y + 36*q**2 + 8*y wrt q.\nAnswer: -48*q*y - 192*q + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(3)*2)*-4*2 - (((sqrt(3) + (sqrt(3) + (sqrt(3)*-2 + -4 - sqrt(3)) - sqrt(3)))**2 - (sqrt(3) + ((sqrt(12)\/sqrt(4))**2 - sqrt(3))*2)) + 0).\nAnswer: -21*sqrt(3) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -16633486.7 to the nearest one thousand.\nAnswer: -16633000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 6:44 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 26 = 2*p. Let w = 574 + -565. Suppose -w*r + 7*r + 52 = 0. What is the greatest common factor of r and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**3 + 9*w**2 - 4*w - 10. Let a(z) = -z**3 - z**2 - z. Let p(o) = -3*a(o) - c(o). What is the tens digit of p(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h = 8. Let u = h + -4. Suppose -z + 1 + 3 = u. Solve 0 = -0*l + l + a - z, -a = -3*l - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3335 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -12740*q + 2560734. What is z(201)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 376607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391894, 391393, 390892, 390391, 389890, 389389?\nAnswer: 388888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 143 = 3*s - 2*h, 4*s - 2*h = -190. Let c = s + 47. Let j(i) = 3*i. Calculate j(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 18*d**2 - 20*d - 17. Let n be y(-19). What is the tens digit of (-2)\/4 - (-115)\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2508 and 131670?\nAnswer: 263340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41886.698 from -464.\nAnswer: 41422.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/350)\/(13739\/(-4565) + 3) - 6\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4923 - 4923 + 290*z)*(-1 + 4 + 7)*(4 - 2 - 1) in the form k*z + x and give k.\nAnswer: 2900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmqqmamqqqqaa. Give prob of picking 2 a and 1 q.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-160)\/(-28) + 2\/7. Suppose 0 = -2*f + 6, 3*f + c = 2*a + a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p + 6. Let d(m) = -m + 1. Let i be (11 - -1)\/(-12)*(-3 - -6). What is i*d(c) + k(c)?\nAnswer: -4*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9060311.16322 - -9060397. Let t = j + -93.8368. Let g = 8 + t. What is g rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 15*q + 208. Sort -4, q, -1, 8 in decreasing order.\nAnswer: 8, -1, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 - 0. Let m = 0.58 + i. Let w = -167 + 168. What is the nearest to w in -0.2, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 3*s**2 - 2*s**2 - 3*s**2 + 5 as x + z*s + m*s**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -2*x**7\/7 + 17*x**3\/6 - 28*x. What is the second derivative of g(s) wrt s?\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59028839*f**2 - 401002816*f wrt f.\nAnswer: -118057678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1501 + -0.3501. Let k = 17\/3 + -76\/15. Which is the closest to j? (a) -0.3 (b) k (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 939, 3845, 8613, 15243, 23735, 34089, 46305?\n\"Answer: 931*b**2 + 113*b - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -30.6\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -d?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -26.3. What is the nearest to -12 in 0, -3, y, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(7) + 1 + 1) + -1)*-5.\nAnswer: -15*sqrt(7) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3453 - 1?\nAnswer: 3452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30314 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 129115\/2998 (c) -4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3*h + 26 = 4*p, -p = 3*h - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*k - 22, 73039*i - 3*k + 57 = 73048*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 10*r**2 + 5*r - 2. Let o be g(10). Let l = -25 + o. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125328 = -g - 21*g + 368054. Does 58 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 1436422722.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2198569 is divided by 18321?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4 = 6. Suppose -3*z + f*a = -95 - 63, -3*a = -3*z + 153. Let u = z - 54. Calculate the greatest common divisor of u and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490069 is divided by 1842.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-5 + (-12 - -2) - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 = 0, 3*f + 2*f = -2*j + 1009. Let x = f + -205. Sort -12, x, 1.\nAnswer: -12, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 974553.2ml?\nAnswer: 974.5532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1)*-1 + (-7102)\/7. Let w = b - -1013. What is the common denominator of w and 109\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/15*(-2)\/4. Let b = 91 - 91. What is the closest to b in 1\/3, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6858660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 5. Let i(c) = -c + 6. Let h(p) = 4*i(p) - 5*s(p). Let r(x) = x**2 + 3*x - 16. Let f be r(-6). What is h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, -2\/3, 0.61, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 - (-21)\/(-9). Let p(d) = -6*d - 5. Let o be p(x). Suppose -49 = -2*y - o. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 2*d + 2. Let r(c) be the second derivative of c**3\/6 - 2*c**2 + 2*c. Let l be r(6). Give g(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1. Suppose -v - 3*t + 2*t = -d, 4*t = -4. Suppose v*z - 5*m - 134 = 0, -3*m = -5*z - 0*m + 373. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5463683.454 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001158266 to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Suppose s - 5*i = -3*s + 18, -s + 5*i = -12. Suppose x*y = -s*y + 24. Calculate the smallest common multiple of y and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2227628.\nAnswer: 2, 13, 42839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -1.5, -1\/6, 8, 30, 5 in descending order.\nAnswer: 31, 30, 8, 5, -1\/6, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7281176 is divided by 108674?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -393861*k**4 - 8*k**2 - k - 4311762.\nAnswer: -4726332*k**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 h, and 1 u when four letters picked without replacement from {c: 1, u: 9, h: 3, n: 5}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224a1 (base 13) to base 6.\nAnswer: 1200311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 + 4*p**2 + 6*p + 7. Let w = 37 - 44. Let f be c(w). Let k = 1198 + f. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*f + 132*f - 726 = 0. What is the first derivative of -f*i**3 + 364*i**3 - 51 + 46*i + 23*i wrt i?\nAnswer: 3*i**2 + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2318560574?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.60651, -411, -5, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4733730?\nAnswer: 2, 3, 5, 149, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 4)**2*3 + -5 - 3*(2*sqrt(1900))**2*-2.\nAnswer: 240*sqrt(19) + 51343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-8 - (-12 + 21 + -3 - 6)) - 19.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 231 - 229. Solve 3*v = -c - 1, m - 5 = 3*c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 26. Suppose 0 = -8*o - o + 945. What is the highest common factor of o and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -93426 less than or equal to -93402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 4, -3, -2\/366453 in descending order.\nAnswer: 4, -2\/366453, -3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5203728 divided by 1300932.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 5\/4*v**4 + 27\/2*v**3 - 22*v + 15*v**2 + 0. Factor f(t).\nAnswer: 3*(t + 5)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 524 - 527. Let p = 0.09 + -4.09. Which is the second smallest value? (a) 5 (b) n (c) 1\/5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -60 + 14. Let q be 4 + 0 + (j - -36). What is the units digit of (-144)\/q - (-4)\/14 - -66?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*q + 34, 2 = 4*q - 3*q. Let a be 125\/(-15) + (-2)\/3. Let o = h + a. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2680 or 185?\nAnswer: -2680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) 0.1 (b) -2 (c) -1.0832 (d) -6 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 3102, 0.4, -3\/4, -0.01061?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.10000262 + -5.1. What is q rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by -153\nAnswer: 62\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 12*x**2 - 12*x + 21. Let p be h(11). Suppose -p*w = -12*w + 8. Solve f + 9 = -4*d + 3*d, f + w = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1266314585 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.87 + 0.07. Let m = u + 3. Is m smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/36*-38 + (2674\/126 - 21).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*r + 6, 4*j + 0*r - r = 11. Suppose 3*z + 11 = 3*t - 1, -j = -t. Suppose z = m - 47 - 29. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + a**3 - 2*a)*(-1 + 3 - 1)*(-1 + 1 - 2) - 14*a**3 + a**3 + 2*a**3 to the form x*a**2 + p*a**3 + c*a + r and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.3881 times 0.75?\nAnswer: 13.041075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.7, -5, 7 in descending order.\nAnswer: 7, 5.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a0 - -3?\nAnswer: -39c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-12 - (3 + -7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68.8 + -69.8. Let m = -1.1 - -0.1. What is the nearest to m in a, 2, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 10 = 2*r, -14*r + 10*r - 2*o + 20 = 0. Suppose 2*w = 4*d - 0 + 6, -3*w + 2*d + 5 = 0. Put r, 0, w, 10 in ascending order.\nAnswer: 0, w, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = -56*y - 76. Let j(q) = -2*q**2 + 8*q**2 + 8*q**2 + 2. Let t be j(y). Calculate the greatest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 29 - 31 = 0. Are -10 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 + -95. Suppose o*l + f - 1879 = 0, 3*l - 4*f + 6*f = 1133. Suppose 0 = -5*i - 2*k - 3*k + l, 4*i = -k + 300. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -398383, -398373, -398359, -398341?\n\"Answer: 2*n**2 + 4*n - 398389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwe when three letters picked without replacement from {w: 2, e: 15, j: 3}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.48 - 2.66. Let n = 1.18 + j. What is the second biggest value in 2\/9, -2, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2 + q. Let i be j(-1). Let p be (-30)\/(-2) + (i - -3). Calculate the highest common divisor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3))**(-27\/7)\/((a**(1\/9)*a)\/(a*(((a*a*a*a**4*a*a*a*a)\/a*a)\/a)\/a*a)) assuming a is positive.\nAnswer: a**(704\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 + 5*x - 5*x + (-4 + 0 + 2)*(-3*x + 3*x - 2*x**2) + 4*x**2 - 2*x**2 - 4*x**2 - x**2 - 2*x**2 + 4*x**2 to c*x**2 + z*x + k and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.1 - -7.1. Which is the biggest value? (a) 0.4 (b) d (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 103?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 533\/3*(-420)\/1820.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/4 and 125\/5526.\nAnswer: 11052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -21*o - 8. Let x(y) = 21*y + 7. Let t(m) = 3*v(m) + 2*x(m). What is the first derivative of t(j) wrt j?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -4, 9 = -0*w - 2*w - 5*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 830 + -815. Let l = -190 + 277. Calculate the remainder when l is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43\/2 of a century?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -16, -5*d + 0*d + 73 = -3*n. Suppose -22*s + d*s = -65. List the prime factors of 8*1 - (-17 + s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -1a5837?\nAnswer: -1a5832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 700537110 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1174 + 2308. What is the greatest common factor of 42 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27847*h + 27687*h - 53186*h to q + n*h and give n.\nAnswer: 2348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**7\/126 + 2*z**6\/45 + z**5\/5 + z**4\/18 - 11*z**3\/18 - z**2 + 51*z. Factor g(o).\nAnswer: -(o - 6)*(o - 1)*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/25*((-18)\/(-56))\/((-171)\/456).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**11)\/(((w**(-1\/17)*w)\/w)\/w)*(w**(3\/22)*w)**(11\/4) assuming w is positive.\nAnswer: w**(2201\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-2)\/(-8))\/((-2)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/63)\/((r\/(r\/(r**(-2\/53)\/r)))\/r)*(r\/(r\/(r\/(r*r\/((r*r**(2\/41)*r)\/r)*r)*r)))\/((r**(-1\/21)*r)\/r))**(-16) assuming r is positive.\nAnswer: r**(-4605040\/136899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 8:07 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + 94. Suppose -2*p - y = -2*w, 3*w - p = 3*p + 181. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111\/7 + 109\/7. Sort d, 0.6, -2, 0.3 in descending order.\nAnswer: 0.6, 0.3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 3*l**2. Suppose 2*v = 6*v + 40. Let p = 15 + v. Suppose p*d + 16 = 2*b, -3*b = -d + 2 - 0. What is g(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9859710 to the nearest one hundred thousand.\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((1 - -5) + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 8. Determine i(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 + 0 + 0 + (y - 2 + 2)*(2*y**2 - 2*y**2 - y**2) + (y**2 - 4*y**2 - 2*y**2)*(-24*y - 24*y + 17*y) in the form g*y**2 + d + x*y**3 + u*y and give x.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/2*(-140)\/(-315). Suppose 0 = 18*c + r*c. Let m(a) = -2*a + 6. Let y(j) = -j + 6. Let x(f) = -2*m(f) + 3*y(f). Determine x(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 934925.43 + -4.\nAnswer: 934921.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196710 = -837*g + 8468*g + 375615 for g.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + (17 + -11 - 50).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -142 - 382. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - 2*o**2 + 4*o**2)*(-o**2 + o**2 + 2*o**2) + 15*o**4 + 4*o**4 + 11*o**4 + o**2 - o**3 - o**4 + 2*o**3 - o**4.\nAnswer: 26*o**4 + o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/((p**(-6)*p*p)\/p)))\/p*(p*p\/p**(-3\/11))\/p*p**(-6)\/p*p*p*p**(-6\/5)*p assuming p is positive.\nAnswer: p**(-601\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40573*f**2 + 2 - 10116*f**2 - 10227*f**2 - 10111*f**2 - 2 - 10115*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.1383229?\nAnswer: -0.01383229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2. Suppose -12*k + 5 = -7*k. What is the remainder when 27 is divided by k\/(b + 57\/(-30))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42534 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 877610 and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/13 + -15)*11\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 3. Let g(y) = 3*y - 7. Suppose z = 2*z - 4*z. Suppose 3*n = z, 3*q - 15 = -0*q - 5*n. Give q*p(m) + 2*g(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -12 + 0*k**3 + 6*k + 7\/5*k**5 + 0*k**4 + 0*k**2. What is the first derivative of s(g) wrt g?\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -427 - -426.7. Which is the closest to p? (a) -1 (b) 1 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 17. Suppose 0 = -v + 5 + 9. Let r be i(v). Suppose -r*z + 4*q - 6 - 8 = 0, 3*z - 5*q + 19 = 0. Solve z*u + 7 = -5*o, 6*u - 2*u = -o + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 6*y. Let q be 1 + -2*(-1 - y). Suppose 3*h + 27 = 4*h + q*j, -3*h + 5*j + 151 = 0. What is the greatest common divisor of h and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31421 + 31421.4. Put -3189, d, -1\/2 in ascending order.\nAnswer: -3189, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1702\/9 - 1097\/6. What is the common denominator of 101\/198 and c?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4.3. Put i, -3, 1 in ascending order.\nAnswer: -3, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 2*d + 3. Let a be v(-2). Suppose m - a - 4 = 0. Let g be (1 - -2) + 15\/5. Is m greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63.1183 + 0.2483. Let u = -0.13 + d. Let g = u + 62.99961. What is g rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 91894806811 from 149.\nAnswer: -91894806662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1112 > -1113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 3*w + 2*w)*(23657*w - 47534*w + 12823*w).\nAnswer: 11054*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338175.\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.019 + 127086206628.2.\nAnswer: 127086206628.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37240 - -37482. Calculate the least common multiple of 10 and n.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(-20)\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -5*r. Suppose -11*t + 9*t - 258 = r. Let v = 210 + t. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 132. Calculate s(33).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 18?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 - 88. What is the units digit of (-9132)\/(-48) - 2\/c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 801.7, -68?\nAnswer: 801.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(13*n**3 + 9*n**3 + 2 + 8*n**3).\nAnswer: -30*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 11*u**2 - 6*u - 8. Let j be i(-8). Let r = j + -72. Calculate the greatest common divisor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/12*(-7)\/(-14)*3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4897, 4600, 4303?\n\"Answer: -297*h + 5194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1 - (22 - 17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**3 + 83*k**2 - 88*k - 1437. Give s(-21).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 2342.\nAnswer: 9368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 8921 = 5*m. Let w be 4 + -7 + 3 - m. Suppose -5*g = -64 - w. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/15 (b) -0.3 (c) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 2. Let j be n(-8). Suppose 10*u + j = 16. Suppose 0 = 2*o - 3*o - u. What is the nearest to o in -2\/13, 1\/4, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 43828017.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*a - 16 = 0, -3*a - 1 - 11 = 3*b. Is 11 a factor of (-18)\/6*132\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2401812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1486)\/3715)\/(((-4)\/(-10))\/(1\/(-5)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 25*f - 160. Let j be n(14). Which is smaller: j or -16\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 4*f - 2*f)*(-3*f - f**2 + 3*f) + 63825 + 0*f**3 + f**3 - 64369.\nAnswer: 2*f**3 - 544","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.09007 + -630\nAnswer: -629.90993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-6)*4\/(-3). Let p(u) = -2*u**3 - u**2 + 3*u**3 + u - v + 6 + 2*u**2. Determine p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8421580 greater than or equal to -33686317\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -801\/8 + 100. Suppose 5*m + 41 = 21. Put i, m, -23, -3 in decreasing order.\nAnswer: i, -3, m, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213 (base 11) to base 4\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 10*c + 13. Let i be u(-9). Let q(r) = -i - 5*r + 2*r - 3*r - r**2. What is the units digit of q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x + 0 - 6*x**2 + 1\/3*x**5 - 47\/2*x**3 + 0*x**4. Differentiate t(o) with respect to o.\nAnswer: 40*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26893328 and 122032.\nAnswer: 4208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93 and 35?\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o - 9. Let i(y) = y. Let d be i(2). Let b be 66\/12 + d\/4. Does 8 divide m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (-345)\/(-92)*200\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 228244684.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 2\/11, 12, -26.7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1393 + 0.1607. Let p = 0.5 - 4.5. Which is the third smallest value? (a) m (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10644 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 greatest common factor of 48 and 3288?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 4*c**2 + 16 - 2 - 3*c**2 - 1. Let p(h) = 6*h**2. Calculate f(p(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3392.87 tonnes in nanograms?\nAnswer: 3392870000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**6 + 2*a**5 + 185*a**2 - 2*a**5 - 151*a**2 wrt a?\nAnswer: 1680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 = -5*w + 3*f, 8 = -4*f. Let p be (4 - 2)*(-30)\/w. Let a = p - 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14503 - 25*w**3 + 8*w**3 + 12*w**3 - 29003 + 14500.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -11b057?\nAnswer: 11b055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 13 = -33. Let s be (-2)\/((-2)\/5) + 0. Suppose l*z + 2 = s*z. Which is smaller: z or 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.093?\nAnswer: -0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 0.5, -8882, 2\/9 in descending order.\nAnswer: 0.5, 2\/9, -0.04, -8882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffyyfyyfyyyfffqq. Give prob of sequence yyff.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000887 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38781438 is divided by 29269.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-6)*19\/((-646)\/(-6273)) is divided by 40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 7870080.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3\/7 - 985*m**2\/7 + 3242*m\/7 + 2600\/7 = 0 for m.\nAnswer: -2\/3, 4, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1143 and -9540274222.\nAnswer: -9540275365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 820 * -305.\nAnswer: -250100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -7248 at most as big as -7241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772986 is divided by 25765?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 6*u**2 + 5*u - 5. Let v be -18*((-10)\/(-6) - 2). Is w(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*s = 4*q + 10, -64 = 51*s + 4*q + 46 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3979993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.64 + -7.14. What is the third biggest value in 0.3, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. What is the biggest value in -3, c, -1, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.58, -2, 0.4, 8, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*l = 2 + 15, 0 = 4*a - 4*l - 116. Let v = -28 + a. Suppose 2*b = -2*u + 120, u + b - v*b - 60 = 0. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-1 + (-4)\/(-3)). Let s = -15 - d. Let p be (-4)\/s - (-19)\/7. Solve 2*y = 4*o + 16, -31 = p*y - 0*o + 5*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 8. Let x = -2 + a. Solve -l - x*l + l - 3*l**2 - l**4 + 6*l**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 7 - 19 = 0. Suppose l = q + 16, -u*l + l = -5*q - 32. What is the least common multiple of (11\/4)\/(4\/l) and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-1 - (0 - 9) - 16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 2*v - 2. Let r = -4 - -9. Determine h(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**4\/4 - 2*y**3 - 4*y**2 + 8*y + 2. Let q be j(7). Let p = 1 + q. Calculate the remainder when 5 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -868\/89 - -7634\/801. Let s be (-24)\/(-35) + 4\/(-14). Which is the third smallest value? (a) s (b) -0.4 (c) 5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-6*s + 7*s - 15*s) + 3*s + 0*s - s + (1 - 1 + 2)*(-4*s + 0*s + 3*s).\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13647 and 3?\nAnswer: 13647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 + 317 = -10*j. Calculate the highest common divisor of 726 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/5)\/(441\/525*5\/2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001580679 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-378)\/(-490))\/27*1*5\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**4 + 10*f**2*y + 14*f - 2*y - 3 wrt f?\nAnswer: 36*f**2 + 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 e when three letters picked without replacement from {e: 1, v: 2, u: 2, d: 9}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27111, 54219, 81327, 108435, 135543, 162651?\n\"Answer: 27108*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32, -12, 26, 82, 156, 248, 358?\n\"Answer: 9*z**2 - 7*z - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 + (-52)\/12. Let f = 10 - m. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 10:21 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 533 by 20.\nAnswer: 533\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 7*q**2 - 4*q - 16. Give v(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/7 - 76*z**2\/7 - 352*z\/7 + 2560\/7.\nAnswer: (z - 80)*(z - 4)*(z + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 5 - 2*t**2 + 4*t**2 + 3 + 14*t**3 + 0*t**2. Let d be i(1). Let z be ((-9)\/(-15))\/((-3)\/d). Sort -2, 1, z in decreasing order.\nAnswer: 1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158630, 320030, 481430, 642830, 804230, 965630?\nAnswer: 1127030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2113 is divided by 163?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1157, -2312, -3467, -4622?\n\"Answer: -1155*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*6\/(-8))\/(-3). Let j = 3.6 - 4. What is the smallest value in 0, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - p + 41. What is a(0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5879 + 5886.12. Round w to one dp.\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89385, 178764, 268153, 357558, 446985, 536440?\nAnswer: 625929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d - d)*(-3*d**2 - d**2 + 5*d**2) - 353*d**3 - 56*d**3 - d**3.\nAnswer: -411*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 1 + 695*c - 224*c - 234*c - 235*c - 173*c**3 + 8*c**4 to the form y*c + s + r*c**4 + i*c**2 + p*c**3 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*r**2 - 46*r**2 - 7*r**2 - 93*r**2 + 166*r**2.\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*u**2 - 8*u**4 - 69*u**2)*(-6*u + 5*u + 3*u).\nAnswer: -16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n + 2. Let k(v) = -20*v + 5. Give -4*k(w) + 11*o(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2448.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 + 60*p**2 - 32*p**2 + 90*p**2.\nAnswer: 128*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1265 (base 7) to base 4.\nAnswer: -13220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*h + 3*l, 2*l - 7*l + 15 = -5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -6. Suppose 16 - 4 = -2*t. Calculate the least common multiple of ((-10)\/(-3))\/(q\/t) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(2\/17)\/d)\/d)\/(d**(-1\/4)*d))**(13\/7) assuming d is positive.\nAnswer: d**(-1443\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2\/13*t - 2\/13*t**2 + 2\/13*t**3 + 2\/13 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22ed07 (base 16) in base 14?\nAnswer: 438211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -132 + 110?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2277*k + 252 = 2313*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10537, -21080, -31623?\nAnswer: -42166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2, 109 = 5*l - u - 62. Suppose 0 = l*i - 4624 - 10540. What are the prime factors of i?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42699 (base 15) to base 6.\nAnswer: 4303400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 0*o - 10*o**2 + o**3 - 4*o**2 + 19*o**2 - o to g*o**2 + b*o + l*o**3 + y and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11889 is divided by 318?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d - 5*k = 5, -d - 1 = -5*k. Let v = 20 - d. Suppose -3*s - s = -4*j - 4, -3*j - 5*s = -v. What is the remainder when 4 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 2*h. Suppose 0*u + 3*u = 15. Suppose 0 = -2*q + 6, -6 = 3*n - 5*q + 3. Let l(a) = -9*a**2 - 3*a + 8*a + 13*a**2. Determine n*l(t) + u*r(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, x: 8}. Give prob of sequence gxg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, -3, 1\/2, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -15. Let b be m\/5 - (-13)\/5. What is the second derivative of 3*r**3 - b*r - 4*r**3 - r - r wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/6)\/((-2)\/(-12)). Let v(p) be the first derivative of a + 1\/4*p**2 + 0*p + 5\/4*p**4 - 13\/12*p**3. Let v(d) = 0. Calculate d.\nAnswer: 0, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y + 2*y + y - 2*y - 2*y + 5*y + (4*y - 5*y + 2*y)*(1 + 1 + 0) - y + y + y + 0 + 0 - 2*y in the form k + c*y and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (20\/3)\/(1\/3) and (-5)\/5 - (-17 + 4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 5*l + 19, 7*z + 3*l = -400 + 384 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000001 + 1010010101110101100111?\nAnswer: 1010010101111110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80007 = 35*o - 66748. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l + 30. Let j be m(-7). Suppose -w - b = -13, -2*w - j*b = -5*w + 24. What is the second derivative of -18*n**3 + n**3 - 8*n + w*n wrt n?\nAnswer: -102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*v + 4. Let r be 56\/(-10) - 8\/20. Which is smaller: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136.229953552 - 136.23. What is r rounded to 6 dps?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 16*h. Let y(o) = -o. Suppose 306*c - 4*s = 309*c + 13, -3*s = 12. Determine c*p(q) - 3*y(q).\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*d*w**3 + 161*d*w - 37568*w**5 - 34*w - 4 wrt w.\nAnswer: 108*d*w - 751360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a second in milliseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37004213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.847195 to 1 decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 439052?\nAnswer: 439051.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 5*m + 4. Let v be r(4). Suppose -3*h + 15 = -v*h. Is 5 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:10 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -14. Let f be 10\/6 - g\/12. Let w be (4\/(-6))\/(2\/(-12)). Solve 13 = -3*h + w*n - 22, f*n = 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -97*k + 175. What is the hundreds digit of q(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28911 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3*a - 4 + 65*a.\nAnswer: 62*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*o - 52670281 - 318369719. What is o rounded to the nearest one hundred thousand?\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225138?\nAnswer: 2, 3, 157, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 14, p: 1, f: 2}. What is prob of picking 1 p, 1 c, and 1 f?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1580 and -145\/72.\nAnswer: 28440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466231279?\nAnswer: 466231279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 820767100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70.02 - 55.02. What is the biggest value in -5, -0.05, -0.5, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*i + 40*i - 1305. Solve 0 = -10*a + i*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91 - 88. Solve 1 - a = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.084*0.5\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16744770?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 2*t - 2*t)*(-3*t - t - t) + (-4*t - t + 2*t)*(1 + t - 1).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 204.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 9) in base 11?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.778 - 6.778. Let h = 2 + 3. Which is the biggest value? (a) h (b) n (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtdo when four letters picked without replacement from {t: 1, o: 3, d: 3, r: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368689 is divided by 854.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**6\/120 - q**5\/15 - q**4\/3 - 2*q. Let x(g) be the third derivative of f(g). What is the first derivative of x(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**4 - 742496*h**3 - 3812492*h**2 wrt h?\nAnswer: -48*h - 4454976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 393404, 786831, 1180276, 1573745, 1967244?\nAnswer: 2360779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from ttthth.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005732843428 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 6*k**2 - 15*k - 15. Suppose 0 = -4*q + 20, -h - 25 = -0*h - 3*q. Is c(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/800 and -87\/5440.\nAnswer: 27200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8636124 litres to millilitres.\nAnswer: 863.6124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j + 10. Let g be v(2). Suppose -5*r = o + 6 - g, -5*r = -4*o - 12. Suppose x = -2*q + 1339, -3 = -5*q + o. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 853*k + 22*k + 1361*k + 374*k**4 + 368*k**4 wrt k?\nAnswer: 8904*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 450\/920*(-3)\/9 and 27\/4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76362 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*s - 49 = 66, h + 4*s = 114. Let v = -73 + h. What is the remainder when v is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 - 348*p**3 + 15482*p**2 - 29928*p + 14792.\nAnswer: 2*(p - 86)**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l + 11. Let b be -1*(-3)\/3 + -5. Let u(z) = z + 5. Let d(t) = b*f(t) + 9*u(t). Determine d(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -404\/259561 or -1?\nAnswer: -404\/259561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 889 + -889.39. Let s = -3 - -2.8. Put s, k, -4 in descending order.\nAnswer: s, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*3\/24 + 65\/312\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1339 divided by 3.\nAnswer: -1339\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by (2 - (-5)\/(-1)) + 1 - -24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 + o**3 + 293*o + 2*o**3 - 147*o.\nAnswer: -2*o**3 + 146*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from {y: 1, o: 1, r: 2, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -0.393\nAnswer: -0.2358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tthhtttttttttthttth. What is prob of sequence hhht?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 0.02?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a century in months?\nAnswer: 21900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - 21. Let x = b + 117. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (0 + (-15)\/(-9)). Let v = 1.27 + -1.37. What is the smallest value in -1, y, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 8\/4*-1. Let i = -2 - -2. Suppose -2*h = -i - 4. Solve w*r = -h*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 29.1?\nAnswer: -29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*t**4 + 13*h*t - 2*t**3 + 998*t**2 - 145*t wrt t?\nAnswer: -24*h*t**2 - 12*t + 1996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -375\/583 = -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42337\/3820 + 1\/2865. Let o = 312093\/11 + -28401. Let k = o + 13259\/440. Calculate the common denominator of t and k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 30652685.\nAnswer: 9\/30652685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 75.\nAnswer: 16\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*c = -22*c - 15120. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 5 + 9\/50*a**5 - 4\/25*a**6 - 7*a + 14\/5*a**4 + 36\/5*a**2 + 67\/10*a**3 - 1\/70*a**7. Suppose z(y) = 0. What is y?\nAnswer: -8, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -28. Let l = 0.3 + -0.9. Let t = l + 0.3. Which is the closest to -0.1? (a) t (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, g: 4, e: 1, f: 1}. What is prob of sequence euf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -556690 + 43421981\/78. Let h = 125635\/11868 + -8\/2967. Calculate the common denominator of o and h.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 (base 4) in base 11?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*((-8)\/(-18))\/4. Let j be 10\/(-35)*14\/18. Which is the closest to 0.1? (a) 3 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6794)\/(-38) - (-1 - -3). Let y = u - 177. Suppose -28 + 21 = -7*j. Which is greater: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 28.78. Let m = 0.08 - a. What is the second biggest value in m, 3, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 (base 14) in base 12?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*f + 191*f + 128*f.\nAnswer: 256*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2300, 4732, 7306, 10016, 12856, 15820, 18902?\nAnswer: 22096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53700 is divided by 164.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 121*t - 222721 = 144*t - 201049 for t.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -0.00266?\nAnswer: 2.99734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101 (base 2) to base 8.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 19.6. Let i = z + -0.1. Let o be 9\/(-2)*6\/(-36). Which is the closest to 0? (a) i (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 5:05 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s. Let w be 3 - s\/(0 + -2). Let n = -4.9 + 5. Which is the second biggest value? (a) 1 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 + 4*b**3 + 7*b**3 - 3*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22777\/8 or -2846?\nAnswer: -22777\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**3\/6 + 3*z**2 + 2*z. Let r be m(-6). Let w = 0 - r. Solve w*h = 4*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z**3\/17 - 518*z**2\/17 - 94*z = 0. What is z?\nAnswer: -47\/18, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + -1 - (-44168)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g - 424. What is w(-22)?\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24324 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*s + 0 = 5, -12 = -2*j + 3*s. Let p be 2 + (2 - 5)\/j. What are the prime factors of (1 - 1 - -9) + p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-312)\/(-572)*(27\/(-126) + 1 + 0).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + 0 - (-3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 14 + 3 - 9. What are the prime factors of z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-5))\/((-18)\/45). Let t(p) = -p**2 + 14*p - 14. Let r be t(9). Solve -5*a + h = 3*h - r, 3*a = -n*h + 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/7)*m)\/((m*m*m**(1\/10))\/m))\/((m*m**(-5))\/(m\/(m\/m**(3\/2)*m)*m)))**(7\/3) assuming m is positive.\nAnswer: m**(199\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4690 = -5*t, -5*t + 2*y - 1894 = -7*t. What are the prime factors of t?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -913704 divided by -228426\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 4*s - 5. Let t be a(-5). Suppose 4*d - t = -z - 0*z, 2*d + z - 48 = 0. Suppose d + 12 = o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**7\/210 - d**6\/60 - d**5 - 5*d**2 + 4*d. Find the third derivative of q(y) wrt y.\nAnswer: -24*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2, 0.4, 2\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, 47, 58, 69, 80?\n\"Answer: 11*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 9:33 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.94 - -1.44. Let s = 14.1 - 17.1. What is the nearest to -2 in 1\/6, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/40 + (-2358)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 36 = t. Is 18\/4*(-2352)\/t + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 2753055*o**2 + 378966968175*o + 378964215125.\nAnswer: 5*(o + 1)*(o + 275305)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -203, -193, -169, -125, -55, 47, 187, 371?\n\"Answer: p**3 + p**2 - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 + -2 - (-1 - 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 43528*z - 15. Let r be t(6). Let f be r\/(-54) - (-1)\/6. Is f\/(-16) - 6\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1\/(3\/(2 + 7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9 from 1702.\nAnswer: 1702.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*u = -5*p + 7, 20 = -4*u. Let x(r) = -18*r**3 - 1. Determine x(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -359.2 smaller than -1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84774 divided by 199.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/9)*n*n*n*n*(n**(-3)*n*n)\/n*n*n\/(n**5\/n*n)*n*n*n**(-4)*n)**(-4\/13))**(2\/7) assuming n is positive.\nAnswer: n**(16\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -10. Suppose -q*s + 205 = -120. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(464*x - 1441*x - 958*x + 15*x).\nAnswer: 1920*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113 - -118. Suppose b*x = -3*h - 11, -2*x + 0 = 8. Solve -4*u - 4*q - 16 = 0, -h*u - 22 = 3*q + 2*q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 - 265*l - 1084. Determine t(-4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*1*-1)\/((sqrt(18)\/sqrt(6) + sqrt(3))*5).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86\/139 + 814\/417. Solve -4\/3*o**3 + z*o**2 + 0*o + 0 = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -555?\nAnswer: 7\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*n + 54 = -606 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q + 13*q - 60 = -9*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 13*y + 2 = 0. Let g(o) = o**2 + 3*o - 1. Calculate g(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 3*x**2 - 5*x - 2. Suppose 2 = -2*p, 5 = s - 0*s - 3*p. Let b(k) = -4*k**3 + 12*k**2 + 20*k + 8. Let i(v) = s*b(v) + 9*r(v). Determine i(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*sqrt(1216)*-3*3.\nAnswer: 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*j**3 + 58*j**2?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 5:25 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 30 = -4*v. Suppose -378 = -2*j + 2*t, 0 = 5*j + v*t - 497 - 468. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*h = -29, 4*s + 33*h - 24 = 37*h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2. Let f = 124\/177 + -2\/59. Let z(x) be the first derivative of 0*x - f*x**3 + 1 + 0*x**2. Determine c(z(y)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlnqzjllznuj. What is prob of picking 1 u, 1 l, and 1 n?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from bjbtttthtjhutujb.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 20 = 4*h - 0*h, 10 = 2*z - 3*h. Suppose -z*m = -4*d + 45, -4*d - 26 = -7*d - 4*m. Suppose r - d = -1. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 307 = 2*u, g - 103 = -449*u + 448*u. What is the remainder when 174 is divided by g?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91704246 a multiple of 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -488111*v - 4881105. Give u(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -68, -144, -250, -386?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 6*p**2 + 8*p - 2. Let g be (0\/(-2))\/(-2 + 4). Suppose g = -10*d + 8*d + 12. Is u(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 4 (c) 4\/5 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 40.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (155\/4650)\/((-7)\/42).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/18 - 43\/126. Let w = 52 - 51.944. Let r = 0.044 + w. Sort r, q, 6 in increasing order.\nAnswer: q, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 10 - 7 - 3 - 788*q - 1081*q. Let t(w) = -w**2. Give j(t(a)).\nAnswer: 1869*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 - -1.8. What is the closest to -1 in j, -1\/6, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tps when three letters picked without replacement from {p: 2, z: 4, t: 9, s: 1}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2141 and 60384298?\nAnswer: 60386439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2150 - 20662?\nAnswer: -15512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*f**4 - 6206*f**3 + 3260050*f**2\/3 - 722386*f + 360848\/3 = 0. What is f?\nAnswer: -1187, 1\/3, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-4*2*sqrt(15))\/(-2*sqrt(80)) + 3))**2.\nAnswer: 24*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -328, -5, -0.3 in ascending order.\nAnswer: -328, -5, -4\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14445, -17, 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g = -6. Suppose -g*v - 1 = -n + v, -5*n - 3*v - 31 = 0. Let m be 0\/n*(-2)\/4. Sort -3, 1\/4, m, 2\/7 in descending order.\nAnswer: 2\/7, 1\/4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 21*v**2 - 8*v + 21. Let c be q(-10). Suppose -2*u - 5*a + c + 43 = 0, -u + 3*a = -22. Is 21 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25327*k**2 - 35*k**3 + 25333*k**2 + 25335*k**2 + 25332*k**2 - 101327*k**2.\nAnswer: -35*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1994 - -583014.\nAnswer: 585008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -334, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/11, -7, 2, 2\/7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -288610 to the nearest 1000.\nAnswer: -289000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4.7. Let u = 0.5 - n. Let h = 0.6 - 1. What is the biggest value in u, h, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*v**2 - 7*v**2 + 63*v - 16 - 10*v**2 - 64*v - 5*v**2 as a*v + l*v**2 + c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 92050 - 325*r - 92050 in the form j + q*r and give q.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from mrrrrrrmrrrr.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -5*h**4\/12 + 373*h. Let d(v) be the second derivative of 29*v**3\/6 + 14*v - 1. What is n(d(j))?\nAnswer: -4205*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 6. Let d be m(7). Let c(l) = l**3 + 2*l**2 - 1. Let o be c(d). Suppose 5*f - 320 = -o*f. Calculate the highest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/236325 and -1\/85077.\nAnswer: 2126925","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2113288?\nAnswer: 2, 29, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 191 + -190 + (-4 - 0 - -3) - 50.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -994?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867462?\nAnswer: 2, 3, 144577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-6 + (1 + 15 - 1) + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -92) + -73 + 28.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619343 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*g + 172*g - 9 = -n, -4*n + 3*g = -13. Let d(b) = b**3 - 5*b**2 + 4*b - 1. Calculate d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.211 and 0.31.\nAnswer: 0.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 59*v - 4502. Determine w(98).\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 6*d + 6. Let c be q(-5). Solve -3*t + 1 = u, 2*u + 1 = -2*t - c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55624, 56068, 56512, 56956?\nAnswer: 57400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -5. Let y = 986\/5 - 198. Are u and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 37 = 54. Suppose 0*i = 3*i - 3. Suppose -4*p - i = -y. Solve 3*w + 2*w - 19 = j, 32 = p*w - 5*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, -8, -27, -44, -53?\n\"Answer: x**3 - 8*x**2 + 2*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9136321 = 5*f, 3*r - 2*f + 27408863 = 3*f. Let t = -4336296 - r. Round t to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35\/63*-1 + 8\/(-18). Let y = 52 + -47. Sort g, 4, y, -4 in increasing order.\nAnswer: -4, g, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**4\/6 - 4*a - 2. Let h(o) = -25*o**2 + 2. Determine h(n(f)).\nAnswer: -100*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -41*d + 17. What is u(-2)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 0, 10, -6646, -1\/2, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1321 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11777656\/17 + 2\/17*p**5 + 48530\/17*p**2 - 50\/17*p**4 + 465520\/17*p - 1930\/17*p**3.\nAnswer: 2*(p - 23)**3*(p + 22)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 11:30 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, k: 1, r: 5}. Give prob of sequence cr.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 2\/39*q**4 + 1\/780*q**6 + 0 + 1\/78*q**5 + 4\/39*q**3 + 6*q**2 + 0*q. Let s(z) = 0. What is z?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 181*c**5 - c**4 - 48*c**3 - c - 165544 wrt c.\nAnswer: 3620*c**3 - 12*c**2 - 288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -40, -41, -42, -43?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 65453*u**2 + 32820*u**2 + 32525*u**2.\nAnswer: 2*u**3 - 108*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*y + 371*y = 34475 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17848 and 920.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 40. What is h(0)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 11 = 3*g + 2*s, g - 3 = 5*s. Let r(y) = y + 1. Let v(l) = 3*l + 4. Determine g*v(d) - 12*r(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -2*p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 148. Let r be m(0). Let z = r - -175. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 30*h - 19. What is the hundreds digit of k(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2. Let h(y) = 4*y - 2229626. Calculate h(x(v)).\nAnswer: 8*v**2 - 2229626","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -14*o + 6. Let y be m(0). Is 90 a factor of (60\/7)\/(y\/441)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = 338 + 355 + 171. What is the remainder when 2735 is divided by f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 35330 (b) 5 (c) -3 (d) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-298)\/(-686) - ((-225)\/35)\/(-15). Let s = v + 339\/686. What is the closest to 0.3 in 0.09, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -153050*q + 1377468. Determine a(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -5.8. Let f = -162 - -106. Let i be 2\/(((-9)\/(-6))\/((-6)\/f)). Which is the nearest to u? (a) 5 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 3*w - 4*w - 3*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/30)\/(25\/(-15)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 13. Give q(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b. Let j(l) = 2 + 2*l + 0 - 5*l + 2*l**2. Suppose 5*o + 8 = -3*c, 0 = -4*o - 2*c - 3 - 3. What is o*j(k) + 2*r(k)?\nAnswer: -2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1)\/((-258)\/(-344))*-6*2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100011002010 (base 3) in base 8?\nAnswer: -4573572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28021588 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -236.4148519 rounded to the nearest integer?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a minute in seconds?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8966*a + 71590. Calculate n(-8).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*w + 35 + 55. Let b be ((-13)\/2)\/((-7)\/(-14)). Let p = 15 + b. Solve -w = p*k - 4*o + 1, -k - 3*o + 12 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18695120 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = -14*w - 32. Calculate the greatest common factor of w and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 73.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22.45 and -0.5?\nAnswer: 11.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 44199?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 2, a: 14, v: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -s - 9, -2*f + 169 = 5*s + 5*f + 142 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 24 = -m. Factor -12\/7*u**2 - 8\/7*u - 8\/7*u**m - 2\/7*u**4 - 2\/7.\nAnswer: -2*(u + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14192*k - 31010 = 14185*k. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 w when four letters picked without replacement from {m: 2, w: 6, i: 7}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 5:05 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 597 + 153 = 0. Let i = o + 128. Solve 3*y + 6 = -3*n, y = -4*n + 1 - i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2 + 5884*b*t**2 - 261*t**2 - 8*t - 6 wrt b.\nAnswer: -4*b + 5884*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**3 - 1. Suppose -5*f + 2*u + 2*u + 25 = 0, -4*f - 5*u = 21. Let b be t(f). Solve -b*j = 3*l - 14, 3*j - 23 = 4*l - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/5 - 4\/1. Let n(u) = -u - 1. What is the lowest common multiple of n(t) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.31, -0.4, -1.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38510376431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z**5 + 4215*z**4 + 22915*z**3 - 50835*z**2 + 16165*z + 7560 = 0 for z.\nAnswer: -7, -1\/4, 1, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*c = -94*c + 155*c - 5733 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1550134049?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -4. Let r be k\/(9\/6)*-1. What is the third derivative of 1 + 4*n**2 + n**6 - 2*n**r - 1 wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/9)*s**(8\/3) assuming s is positive.\nAnswer: s**(23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (95\/10)\/((-26)\/12 - -2). Let t be 1 - (2\/2 - 12\/n). Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 168\/(-15)*810\/(-12). Let h = p + -452. Is 23 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28678, -114703, -258078, -458803?\n\"Answer: -28675*b**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3840)\/384 - 1*-51.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -47?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 115\/9 + 8\/36. Suppose -468 = 12*q - 1248. What is the greatest common factor of k and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/369660 and 79\/460?\nAnswer: 8502180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flaqqqddqq. What is prob of sequence ad?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0313 times -4?\nAnswer: 0.1252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 166917 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 - d - 16. Let t(z) = -427*z. Determine t(n(j)).\nAnswer: -1708*j**2 + 427*j + 6832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-620)\/45 - 2\/9. Which is greater: w or -205\/14?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/2 (b) 17 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(128) + (-4*sqrt(32))**2.\nAnswer: 8*sqrt(2) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 19. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1374011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a**2 - 94*a + 52. Let m be c(-9). Which is smaller: -147 or m?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*s = -2*j + 13, -5*s = 20. Solve j*h + t + 4 = 5, -5*h = 4*t + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 + 807*i + 4 + 89*i**2 - 20*i**2 - 808*i in the form f + g*i**2 + l*i**3 + p*i**4 + w*i and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 125*m**7\/42 + 24*m**3 + 469*m**2 + 2. Differentiate y(l) with respect to l.\nAnswer: 2500*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*t = 6, -4*p + 4*t = -t - 1. Let u(w) = 159*w**2 + 5*w + 6. Is u(p) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*r**3 + 40*r**2 + 44*r - 16 = 0. What is r?\nAnswer: -4, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50.71 + -1.29. Let w = 51.99908 + l. What is w rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 2 - (5 - 3). Let m be (2\/(-3))\/(7\/(-3)). Which is the nearest to m? (a) -5 (b) s (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {d: 2, h: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8171 + -439198903\nAnswer: -439207074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-298)\/6)\/(1\/(-4)). Let y = -2159\/12 + o. Let d = 667\/36 - y. Which is the third biggest value? (a) -6\/5 (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 399 - 401. Let k be (-1 - -2) + 6 - 2. What is the nearest to 3\/11 in k, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795808956?\nAnswer: 2, 3, 66317413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 1\/4 + (-48)\/(-64).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 27 - 108 + 26 + 8 + 79*a + 22.\nAnswer: 79*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/133 and 61\/9.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 105*q - 103*q - 4*f, 5*q - 5*f = 820. Which is bigger: 803\/5 or q?\nAnswer: 803\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-2)\/((-2)\/1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -777, -3224, -7303, -13014?\nAnswer: -20357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 40 = 3*d + 4137, 3*t - 2736 = 2*d. Let z = -708 - d. What are the prime factors of z?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (4 - -5) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/38)\/(-459 - -464)\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1 in decreasing order.\nAnswer: 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14537 - 44731 = -33*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 43 + -35 - 90*((-195)\/(-2))\/(-5). What is the highest common factor of 215 and y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 42, -1, 13, 3 in ascending order.\nAnswer: -4, -1, 3, 4, 13, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 0.2, -3, 32, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 354511 - 6?\nAnswer: 354503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6347 to the nearest one hundred.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 57784 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 - (8 - 8 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38640 divided by -1840\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + -30 + 17 - 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 6 = 0, 0 = k - 6*h + 3*h - 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eekkekkkkekee. Give prob of picking 1 k and 3 e.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 9*x - 5. Let v be f(-8). Is 0.1 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j + 2 = 0. Let p(l) = 52*l + 8. Let r(y) = 25*y + 3. Let q(n) = 2*p(n) - 5*r(n). Calculate the remainder when q(j) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661786809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + -1 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 5 (c) -4\/7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/12, -2, -2\/15 in descending order.\nAnswer: -2\/15, -7\/12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nssnsnsssss. Give prob of sequence ns.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9409010*u*x + 10709235*x wrt u.\nAnswer: -9409010*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*c = 26*c - 192. Sort c, 9, 2, 1.\nAnswer: c, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -778 = 163*o - 2571. What is the highest common factor of 913 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1020 and ((-607)\/(-278613))\/((-4)\/(-66)).\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/105)\/(8\/(-5) - -1). Let m = 4.05 + -0.05. What is the second biggest value in y, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10) + -1 - (-30)\/30\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61701 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106858 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.4 and -95664?\nAnswer: -1473225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/15913 + -461217\/2068690. Let b = -3\/10 - t. Let n = b + 33\/91. Sort n, -2\/7, 3 in decreasing order.\nAnswer: 3, n, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3483 by 1161.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 18 = -5*y, -l = -0*y + 2*y + 5. Let v be (-1 - 1*-1)\/1. Let h = l + v. Put -4, h, 4 in ascending order.\nAnswer: -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 0 + 0 + 3*r + 1. Let s be (-5)\/(-1*(3 - 2)) + -1. What is the tens digit of f(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24569 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + -74.9. Let j = b - -1.9. Let o = -0.25 + 0.05. What is the third smallest value in j, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5450 + -5450. Solve m = -19*g - 15 - 99 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -307 * 0.1.\nAnswer: -30.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 4*p + 129. Let k be 2\/1 + (-2 - p). What is the closest to k in 4, -23\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149153 by 2.\nAnswer: 149153\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let d(p) = -p. Let x(u) = 16*u + 3. Let q be x(3). Let m(t) = q - 51 + 2*t. Let o(v) = -d(v) - m(v). Give y(o(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-54) - (-51)\/(-459). Which is the third smallest value? (a) w (b) 0.4 (c) 3\/2 (d) -2 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a + 1. Let f be 0 - (-2 - -10)\/(-2). Let d = f - 11. Let b(j) = 7*j + j + 3 + j. Give d*u(x) + 3*b(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - j = -12, 0*s + 3*s - 28 = 4*j. Which is bigger: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1184 (b) 4 (c) -2 (d) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2 + 523512*z - 34258101768 = 0.\nAnswer: 130878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12499, 47549, 105147, 185293, 287987?\nAnswer: 413229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*i - 53*i - 3*r - 10327 = 0, 3*i - 4*r - 15491 = 0. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 4) to base 16.\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2 + 4*k - 4*k + k. Let c = 32 - 27. Determine l(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-9 - -8) + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3918 + -0.1082. Which is the fourth biggest value? (a) -3 (b) 3 (c) h (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1246580 and 80.\nAnswer: 4986320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44981 - -68098. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1315*j**2 + 126*j**2 + 651*j**2 as q + m*j + n*j**2 and give n.\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2102 - 112?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.16, 2\/61, 2\/3, 0, 28?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2119 divided by 13\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-1 - 75\/(-84)). Calculate the remainder when 32 is divided by (-315)\/w - (-1)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80401*b**3 + 136087*b**2 wrt b.\nAnswer: 482406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -4*l + 8*u - 1, 0 = 5*l + 5*u - 25 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -33*j**2 + 10*j + 16. Let v(x) = 33*x**2 - 12*x - 14. Determine 6*p(y) + 7*v(y).\nAnswer: 33*y**2 - 24*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36993 and 165.\nAnswer: 184965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*d**2*g**3*j**2 - d**2*g**2*j + 55*d*g**3*j - 2*d*g**2*j + 26*j**2 wrt g.\nAnswer: -48*d**2*j**2 + 330*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328646*j - j**2 - 328646*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 2*s**5 + s**4\/12 - s**3\/3 + s**2 - 16*s. Is 6 a factor of r(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.260342 rounded to zero decimal places?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 6*m**2 + 3*m + 2. Determine i(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -356 in -2\/19, 2\/5, -0.3, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 12*k + 45. Let t be f(-8). Let y = t + -18. Let d be -2 - (2 + 2\/(-1)). Put y, 6, d in descending order.\nAnswer: 6, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**6\/5 + 271*n**5\/50 - 196*n**4\/5 + 1028*n**3\/15 - 48*n**2 - 210*n - 4. What is w in v(w) = 0?\nAnswer: 2\/5, 2\/3, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + 11 + 2096\/56?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 0.4 (c) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 159343*t + 320026 wrt t?\nAnswer: 159343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 433 - 421. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -299, -1308, -2989, -5342?\nAnswer: -8367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*g - 242*g + 121*g + 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -33\/241 in descending order.\nAnswer: 3, -33\/241, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, -4\/5, -0.2, -3\/4, 16298, -0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/33)\/(1434\/(-134079)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.55 to one dp.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -598641.226 to the nearest one thousand.\nAnswer: -599000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 7604544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -44 + -2 + 2319240\/50435\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pkpppkp.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18077712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**9\/15120 - r**8\/1680 + r**7\/420 - r**6\/180 + 7*r**5\/30 - 17*r**2. Let w(k) be the third derivative of y(k). Factor w(q).\nAnswer: 4*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 5\/3*l**3 + 0*l + 0*l**5 - 1\/42*l**7 + 0*l**6 - 3*l**2 + 0*l**4 + 0. Differentiate y(w) with respect to w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - r + 200. Is 10 a factor of a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114648672.\nAnswer: 2, 3, 769, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*l - 1 - 2, -2 = 2*z + 3*l. Let k be -3 - (2 + -8) - -27. Let g be 8\/k - (-3)\/(-5). What is the third smallest value in 1\/4, g, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 21, -27, -2.\nAnswer: -27, -2, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 673780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7108 + 83170815.\nAnswer: 83163707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 790006 and 292.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t - 9*t + 6*t - 2*t + t**2 + 8593 - t to b*t + a*t**2 + h and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -307024 (base 8) in base 10?\nAnswer: -101908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -79934, -78922, -77910, -76898?\n\"Answer: 1012*b - 80946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + 40*m**2 - 7*m + 29. Determine d(20).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-360)\/(-378) + 2\/(-3) + 37\/(-7). Let p = -0.4 + 3. Let y = p + -3. What is the third smallest value in y, -1\/3, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(55))\/sqrt(5)*1 + (sqrt(1100) + 0)**2 + 1.\nAnswer: sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -273 + 976 + 386*p**2 + 742*p**2 - 302*p**2 wrt p?\nAnswer: 1652*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 286.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - 6) + 1420\/5. What is the greatest common divisor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 474509 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 5*n - 4*b, 285*b + 9 = -n + 291*b for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-558)\/1240*(-4)\/3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/11 + 1360*v**3\/11 + 77196*v**2\/11 - 337552*v\/11 - 413390\/11 = 0.\nAnswer: -617, -67, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 99\/(-21) + 4\/(-14). Let k = c + 1. Is 1\/((-2)\/(k + 0)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 13*o - 6345. Let h = o + -375. What is the lowest common multiple of 24 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385311671 to the power of 1\/2, to the nearest integer?\nAnswer: 19629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (207\/25 + (-8)\/1)*22\/77?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 14) to base 10\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16\/5 + -38\/15. Let f = -0.07 + -3.93. What is the third biggest value in d, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*m - 10 + 180 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-20)*n**(-19))**1 assuming n is positive.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 173?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Suppose 5*d - 4*d + 4*m = 52, -5*d + 304 = -2*m. Suppose 4*y = d - h. Solve -2*v - 3*v + y = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-60))\/((-4)\/(-14))*(-2)\/(-4).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*h + 25, 3*g + 65 = h + 3*h. What is the highest common divisor of 35 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 1263003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24180?\nAnswer: 2, 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*q - 3*s, -5*s - 8 - 12 = 0. Suppose -5*c = -2*n + 5, 2*c - 30 = n + q*n. Let d be n\/(-40) + (-18)\/8. Put d, 4, -5 in descending order.\nAnswer: 4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-39)*j**27)\/((j**(-2\/3)\/j)\/(j\/(j*j\/j**12*j))))**(-6\/13) assuming j is positive.\nAnswer: j**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -5, -0.008, 2\/3, 1\/7 in increasing order.\nAnswer: -5, -0.008, 1\/8, 1\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -116 or -128?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7900257?\nAnswer: 3, 17, 19, 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1438071 or -1438073?\nAnswer: -1438071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11574 + -11582. Sort o, 53, 2.\nAnswer: o, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -217 + 1522\/7. Which is the nearest to 0.1? (a) z (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.41, 1\/3, -1140, -97?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 16 + 21 - 275*y - 74 + 19 in the form r + z*y and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 369931547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 3:18 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2329 (base 13) to base 12.\nAnswer: 2a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -12*u - 8. Let o(x) = -12*x - 9. Let a(m) = -5*o(m) + 6*p(m). What is the remainder when a(-2) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(4\/((-80)\/15))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47196 and 48231?\nAnswer: 10996668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9*w - 3. Let a be i(1). What are the prime factors of 0 + a + (-5 - -322)?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.2 + 23.2. Which is the closest to 0.1? (a) -4 (b) f (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1557884?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 1 - 6*a - 3 - 3*a**2 + 3*a**2. Let v be y(-5). Factor v*r**2 - r**2 - 9*r**3 - 3*r + 13*r**2 - 3.\nAnswer: -3*(r - 1)**2*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82388 and 4120.\nAnswer: 84859640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6135241?\nAnswer: 7, 31, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013074 to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7001, 6739, 6477, 6215, 5953, 5691?\n\"Answer: -262*h + 7263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 - 1116*w**2 + 30*w - 11189. Determine x(372).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f**2 - 61*f**2 + 15*f**2 to the form g*f**2 + i + b*f and give g.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2. Let l(d) = -18283 + 36566 - 18283 - 6*d**2. Give i(l(w)).\nAnswer: 144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 + y + 1. Suppose 18 = 3*a - 2*a. Let m be ((-4)\/(-6))\/((-12)\/a). What is the units digit of q(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -6b5c9?\nAnswer: -6b5cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {p: 1, f: 2, a: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 432554.\nAnswer: 432550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -1)\/((-10 - 8)\/(-9)). Let j(n) = -n**3 - n**2 - 7*n + 27. What is the smallest common multiple of 39 and j(b)?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 80529972.\nAnswer: 80529972.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 7) + (-56)\/1. Let i = -34 - d. Let l = i + -18. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3060 and -1338.\nAnswer: -4398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 58*c**2 - 842*c - 43325. Calculate r(-60).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 14*w + i + 4 = 0, 5*i + 20 = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-24)*-8 + -2. Solve -2*t - 2*t + 5*z + 37 = b, z + 2 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28785 is divided by 7194.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -729771*d**6 + 6996089*d**2 wrt d.\nAnswer: -87572520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3 - 7 - 7 + 16 + 11*o**2 - 10 + o. Let g(j) = 5*j**2 - 5. Calculate 7*g(r) - 3*u(r).\nAnswer: 2*r**2 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 - 2*w)*(0*w + 2*w - 4*w) + 6*w**2 - w**2 + 0*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (0 + 3 - -3) - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1414 and -58.79.\nAnswer: 8.312906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1600996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) - 26\/56. Are v and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 598*q. Let o(d) = 3*d**2. Calculate t(o(v)).\nAnswer: 1794*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30402251 - -30402283.000022. Let p = f - 32. Round p to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -544, 9\/10, 2, 5, -1\/8, 4 in decreasing order.\nAnswer: 5, 4, 2, 9\/10, -1\/8, -544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 - (10 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018015599 rounded to five decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 24466.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {s: 1, z: 5, e: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 9*h + 3. Let l be s(9). Suppose -76 = -l*d - d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h = 80. Let l be (4 - (2 + 0))\/((-10)\/(-20)). Suppose -84 - h = -l*n. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19301, 38605, 57909, 77213, 96517, 115821?\n\"Answer: 19304*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20.7 + 62.741\nAnswer: 83.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30969?\nAnswer: 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12602, -102841, -347782, -824777, -1611178?\nAnswer: -2784337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 683*m**2 - 219*m - 2. Let v be i(3). What is the greatest common divisor of 336 and v?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2125970 and 30371000?\nAnswer: 212597000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2438)\/58512)\/(11\/(-32))?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-9 + 1 - -2). Solve -49 + 344*l**2 - 175*l**k - 170*l**2 - 14*l = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 12 + 11)*(-1 + 1 + 2*p).\nAnswer: 104*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from bbbdddbbbbddddbb.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/(-22) - (4 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*q + 200 - 200 + (1 - 1 - 2)*(0*q - 5*q + 4*q) in the form w + s*q and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 53993850 divided by 53993850\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/11 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33304806*h**5 + 36106734*h**2 wrt h?\nAnswer: 1998288360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*z - 3*u - 18, 0 = -2*u - 2. Let s(j) be the second derivative of 0*j**2 + 1\/3*j**z + 2*j + 0. Let d(q) = 4*q. Give d(s(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25663 is divided by 12829.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and (-3 + 22\/10)\/(4\/(-970)).\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45356146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 371125 and 11430650.\nAnswer: 57153250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -2. Let n be (-58)\/(-3) - (-1 - 0). Let d = n - 421\/21. What is the nearest to d in -0.3, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9148005058 to the power of 1\/4, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2114 (base 5) to base 12.\nAnswer: -1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10170424 by 1034.\nAnswer: -9836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 - 2*f**2 - 4*f**2. Let w(z) be the third derivative of -z**8\/20160 + z**5\/15 + 9*z**2. Let q(x) be the third derivative of w(x). Give q(g(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h**3 + h**2 - 1. Let f(c) = c**3 - 1. Calculate -2*f(o) + y(o).\nAnswer: -8*o**3 + o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t + 35. What is x(18)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29.42 + 29. Let l = 0.02 + u. Let g be 10*9\/630*(-7)\/(-2). Sort g, 3\/8, l.\nAnswer: l, 3\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13472214401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-126)\/(-10) + (-6)\/(-15). Let r = 56 - 43. Let a = r - w. Do -2\/9 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 7 = -2*j + 5*n, 3*j + 29*n - 25*n = 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6\/31 + 20\/217. Is f bigger than 2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 2*n**2 - 6*n + 35. Determine w(7).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 2*p**4 + 7*p**2 - 6*p**4)*(-p - 4*p + 3*p).\nAnswer: 16*p**5 - 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 3*z**2 - 3*z**3 + 4*z**3 + 3*z - 6 - 4*z**2. Let t be h(4). Let n = 2 - t. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pipdtte. What is prob of picking 1 d and 2 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 13 = 3*y, -27 = -4*t + 6*t + 5*y. Let m = t - -18. Suppose -2*v - 43 + 185 = -2*i, -m*v + 145 = -3*i. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21279337\/42 or 506652?\nAnswer: 506652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/15)*p**(13\/5))\/((p**21*p)\/(p**26\/p)))**(2\/93) assuming p is positive.\nAnswer: p**(164\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(637) + -1 + sqrt(637) + sqrt(637))*4)**2 + sqrt(637) + (-1*sqrt(637) + -2)**2 + sqrt(637)*1 + 4.\nAnswer: -630*sqrt(13) + 92390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 - 13*o**2 - 5*o + 5 + 15*o**2 + 2*o to the form y*o + z*o**2 + q*o**3 + m*o**4 + j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blbb when four letters picked without replacement from blbbll.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 3*b + 4*y, 5*b + 2*y - 106 = 295. Calculate the remainder when (-1)\/5 + (-22)\/(-10) + b is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28726073 + 28726246.99923. Let z = -172.07 - 1.93. Let c = z + o. Round c to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 - 4)*(0 - 14 - 19)*(-1 + l**4 - 2*l**3 + l + 0 - 3*l**4) in the form w + s*l + h*l**3 + q*l**2 + c*l**4 and give w.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 408.19*-0.19\nAnswer: -77.5561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/85 in -2, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 300?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - (6 - -4 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1503 - 805. What is the least common multiple of 2 and o?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + t - 998032, -3*r - t - 2*t = -998034. Let y(s) = 14209*s + 21. Let l be y(-16). Let u = l - r. What is u rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 10. Solve k*l - 6 = 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 210, 313, 416, 519, 622?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.4\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/6, 443, -3, 15\/7, -1, 4?\nAnswer: 443","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10428316, -20856631, -31284946, -41713261, -52141576?\n\"Answer: -10428315*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4424 - -3?\nAnswer: 4431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 - 3*v**3 + 4*v**3 + (0*v**3 + 3*v**3 - 2*v**3)*(14 + 57 - 32) - 3*v**3 - 2*v**3 + 0*v**3.\nAnswer: 33*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016240172 to four decimal places.\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-4)\/6 - 2. Suppose 0 = -f*t + 4*t - 72. Let a = -14 + t. Solve 3*o + 1 = v, a*v = -2*o - 0 + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 76211070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138 and 253?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-109278)\/27)\/13)\/(2\/3). Let v = 6541\/14 + t. Let d(b) = -b + 5. Let c be d(6). Which is bigger: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/((-294)\/175)*(-2)\/2\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6. Suppose -4*i + d*i = 5*w - 65, -4*w + 5*i + 11 = 0. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3\/37 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/52*(6 + 0). Let v = 27 - 25. What is the nearest to -1 in 0.5, w, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(2565\/703))\/(-4*-6*(-2)\/240).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48535514*h + 1615449.\nAnswer: -48535514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*w - 31. Suppose -4*t + 35 = w*j + t, 0 = -t + 3. Sort -2, -5, j, 4 in increasing order.\nAnswer: -5, -2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, d: 1, j: 3}. Give prob of picking 1 k and 1 d.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/1716 and 101\/792.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -71*w + 12. Let x(g) = -18*g + 3. Determine -2*h(f) + 9*x(f).\nAnswer: -20*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 1 - 96*d - 5 + 6.\nAnswer: -93*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11391.\nAnswer: 3, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*r - 21*r + 1712 = -1936 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7706.99983084 + 7707. Round x to six decimal places.\nAnswer: 0.000169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -3, 4, 2, -124, -4 in descending order.\nAnswer: 6, 4, 3, 2, -3, -4, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 + -2. Let m = 235 + -234.5. What is the nearest to -2\/7 in o, -5, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 13*u**3 + 0 + 11*u**2 + 0 + 11*u. Let b(v) = 7*v**3 + 6*v**2 + 6*v. Suppose 3*p = -4*z - 32, -2*z + p - 2851 + 2825 = 0. Give z*b(w) + 6*s(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -185 - -291. Let w = 105.999995495 - i. What is w rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1239625079 from -3.4544.\nAnswer: -1239625082.4544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 42974 and 1\/1588 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57799801?\nAnswer: 47, 1229783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 42 = 3*q, 14*l = 4*q + 13*l - 62. Suppose -12*t = -q*t + 8. Factor -1\/4*r - 1\/8*r**t - 1\/8.\nAnswer: -(r + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -591, -2500, -5675, -10116, -15823, -22796, -31035?\nAnswer: -40540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:24 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3 + 14\/(-8). Let v = 65.9 + -66. What is the closest to 0 in -1\/3, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/33*-2 + 0. Which is greater: r or -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 398257552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 6*h**2 - 3*h + 5. Let o be i(5). Let m be 7 + (18 - 17)\/((-2)\/4). Solve -l - z = -4*l + 3, -l - m*z = o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3328)\/sqrt(4) + -1*sqrt(65)\/sqrt(5)).\nAnswer: 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162480 - 109931. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.7 and -0.02472286?\nAnswer: 1.67527714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11188 is divided by 5570?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*p - 163, -6*d = -4*d + 3*p - 50. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298851760 a multiple of 584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((112\/2388)\/(-7))\/((-24)\/612*(-1037)\/61).\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 21*n**2 - 33*n - 83. Is b(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 + -0.08. Let c = 0.05 - x. Let l = c - 7.25. What is l rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012065316 rounded to five dps?\nAnswer: -0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*k + 6 = 0, -4*k + 2 = 4*j - 6. Let m(d) be the first derivative of j*d**3 + 0*d**4 + 0*d + 0*d**2 - 1\/25*d**5 - 1 - 1\/30*d**6. Factor m(q).\nAnswer: -q**4*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 15 = 0, o - 2*n + n - 2 = 0. List the prime factors of (o\/(2\/(-6)))\/(45\/2685).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -14, -61, 42, 1 in increasing order.\nAnswer: -61, -14, 1, 14, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 46*u.\nAnswer: -2*u*(u - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -223 and -844264355.\nAnswer: -844264578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12*(3 + 0) + 1.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 2*v**2 - 4*v + 5. Calculate the remainder when k(6) is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*z - 87. Suppose -z = -3*m + 3*q, -4*m - m - 5*q = 10. Let s(d) = 5*d - 1. Give s(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34, -100, -206, -352, -538?\n\"Answer: -20*o**2 - 6*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - 38) + 0 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6 = -2*g, -6*g + 9021*y = 9023*y + 26 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 23*q + 3. Suppose -4*h = 4*n - 24, -3*n = 6*h - h - 22. Let v be m(n). What is the greatest common factor of 38 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*i - 5*i**3 + 34*i**2 - 19*i**3 - 35*i**2 wrt i.\nAnswer: -144*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1307 is divided by 355?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3494 + 7376. What are the prime factors of u?\nAnswer: 2, 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.4 (c) 6 (d) 13\/2 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -19. Let x = m - 1. Let o(h) = 2*h**3 + h**2 - 2. Let l = -9 - -12. Let y(n) = -3*n**3 - n**2 + 3. Determine l*y(w) + x*o(w).\nAnswer: w**3 + 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1487659218?\nAnswer: 2, 3, 43, 5766121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9973 and 0.2.\nAnswer: 1994.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 12:22 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (339 - 337)*600\/(-48)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 4:28 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 3:37 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4490, -8975, -13460?\n\"Answer: -4485*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 19. Let y(l) = -l - 16. Let q(r) = 2*w(r) - 3*y(r). Suppose 7*t - 6*t = 9. Let d be q(t). Solve d = -3*h + 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 5. Let k(g) = -g**2 + 1. Let s be k(-1). Let i = -223\/14 + 115\/7. Which is the closest to s? (a) i (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.23579943 and 99401.\nAnswer: 99400.76420057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -3, 39, 2 in decreasing order.\nAnswer: 39, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 - a - 3 + 1858*a**2 - 6*a**4 + a**4 - 1856*a**2 to p*a + j*a**3 + k + f*a**2 + u*a**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x + 12. Let m(q) = 23*q**2 - 26*q**2 + q**3 + 10 + q**2 - 10*q. Let g be m(x). Solve 3*c - 10 = -g*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2\/2 + 4371801*c + 19112643983601\/2 = 0.\nAnswer: -4371801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/133 - 51\/(-57). Sort -3, -9, i, 0 in increasing order.\nAnswer: -9, -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 4. Let r be h(6). Suppose -2*j + 34 + 2 = 0. Let b = j + r. Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 213317 and 244.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 4 - 1\/2*c**2 + 29*c. What is the tens digit of m(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 5\/2. Let v = 2.27 - 254.07. Let l = v + 252. Which is the closest to 2? (a) o (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133*d + 67*d + 102*d + (2*d + 0*d - 3*d)*(5 - 5 - 7))*(0*d**4 - 2*d**4 + 5*d**4).\nAnswer: 129*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/264 and 47\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -266 + 886. Does 31 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 7*y)*(102 - 88 + 110) to the form f*y + c and give f.\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**8\/3360 + l**5\/60 + 5*l**4\/24 - 5*l**2. Let u(v) be the second derivative of i(v). What is the derivative of u(c) wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**3\/3 - 17*o**2\/2 + 16*o - 98. Find k such that r(k) = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = q - 8, 3*q + 2*n - 19 = 3*n. Let t be (((-18)\/(-4))\/3)\/q. Let o = 2 + 0. Which is the smallest value? (a) t (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 + 32*q.\nAnswer: -2*q*(q - 80)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, z: 16}. What is prob of sequence sszz?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 16 + -9 + -22.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.2, -2, 2\/3, 2\/9, -4, 3, -1626?\nAnswer: -1626","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3960912 - -130.\nAnswer: -3960782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 1\/9, -4\/9, -0.002, 0.4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z. Let l(m) = 5*m - 1. Let t(y) = -18*y + 9. Let r(d) = 5*l(d) + t(d). Calculate x(r(j)).\nAnswer: 56*j + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3237*b**3 + 28*b**2 - 3*b - 5*b + 3235*b**3 + (-b + 4*b - b)*(1 - 2*b**2 - 1).\nAnswer: -6*b**3 + 28*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 2 = -a. Suppose -8630*d + 273 = -8609*d. What is the highest common factor of d and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -5676541?\nAnswer: -5676544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -774*y + 6546. Give i(9).\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 21*b = -4*s - 12, -18 = -s + 4*b. Solve 4 = s*f - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**2 - 6*t - 6. Let b(o) = 7*o**2 + 7*o + 7. Let s(w) = 5*b(w) + 6*v(w). Let i(r) = -8*r**2 - 8*r - 7. What is -i(g) + 6*s(g)?\nAnswer: 2*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39047581 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003704476224 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**6 - 1300504*h**3 - 147882290*h**2?\nAnswer: -720*h**3 - 7803024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 - -821785616.\nAnswer: 821785577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.64 + -1.\nAnswer: 5.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4067174 * 0.5\nAnswer: -2033587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 12*d - 41. Give q(-11).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117448334.\nAnswer: 2, 58724167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a**2. Let l(r) = -2*r. Let k(c) = 15*c**2 - 2*c. Let q(n) = -k(n) + l(n). Determine -3*q(v) - 5*z(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 422*o**3 + 25*o**2 + o - 1. Give l(1).\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = i + 3*a, 2*i + 17 = 2*a + 35. Solve -v + 0*b + 2*b = 0, i = v + 2*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.1 - 9. Let l = -2.016 - 0.064. Let v = l - -0.08. Which is the nearest to k? (a) -5 (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*v + 247 = 0, v + 186 + 58 = 3*l. What is the greatest common divisor of l and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00493733007 to 6 decimal places.\nAnswer: 0.004937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2437981.\nAnswer: 7, 13, 73, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuokukuouukkkuu. Give prob of sequence uok.\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(1870\/306)*1*1\/(-9)*-25\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 8 - 5 = 0. Calculate the common denominator of (g\/6)\/((-2)\/(-94)) and -81\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 3, 0, 149 in ascending order.\nAnswer: -5, 0, 1, 3, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*l - 43*l - 41*l + 135*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 6*g - 7. Suppose 0 = 89*i - 90*i + 5. What is s(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19ed4c + -1?\nAnswer: -19ed4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-23) + (-235744)\/230184.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + s**2 + s**2)*(-46*s**2 - 112*s + 12*s**2 + 110*s).\nAnswer: 34*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 292*p - 1562. Determine w(5).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*v - 4*v - v)*(4 - 5 + 2) + 5*v - v - 3*v)*(1 - 1 + 5*v**3).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -10*w + 1. Let m be v(-3). Let n = -22 + m. Let c(s) = s**3 - 7*s**2 - 8*s + 1. What is the smallest common multiple of c(8) and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**4\/7 + 996*t**3\/7 - 992*t**2\/7 - 996*t\/7 + 142 = 0.\nAnswer: -1, 1, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 43812 = -3*c + x, 5*c = -3*x - 43804. Let g = c - 44942. Let o = -124704 - g. What is o rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 30.4. Let d = -3 + m. Which is the nearest to -0.1? (a) -4 (b) d (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l - 2*t - 1, 4*l = 4*t + 8. Let k be l\/(-2) + 275\/(-50). Let d be (18\/(-4) - k)*6\/(-15). Is -1\/5 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6010*q**2 + q + 1. Let o(c) = 71*c. What is o(j(p))?\nAnswer: 426710*p**2 + 71*p + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9869 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o - 4*y, 0 = o - 4*y - 18. What are the prime factors of (-6)\/18 - ((-32)\/o - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 147*v**2 - 299*v**2 - 40*v + 153*v**2 + (3*v - v + 0*v)*(-2*v + 0*v + v).\nAnswer: -v**2 - 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11655243 or -11655244?\nAnswer: -11655244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 46. Let b(r) = -5*r + j - 6 + 8*r. What is b(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - i - 42 = 0, -3*h + 4*i + 24 = -7*h. List the prime factors of 210\/(-4)*12\/h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, m: 4}. What is prob of sequence aam?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c. Let b(v) = 9*v**2 + 2*v**2 - v + v. Calculate b(p(d)).\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**4\/4 + 10*c**3\/3 - c**2 - c + 1. Calculate the remainder when (2 + -78)*-1 - 2 is divided by k(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cloc when four letters picked without replacement from {l: 3, c: 2, n: 4, o: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 73*v**2 - 137*v + 594. What is the remainder when 1162 is divided by b(-71)?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 859.4356 litres?\nAnswer: 859435.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 4*f**2 - 6 + 1 - 4*f + 2. Does 12 divide s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**2 + 7*n + 7. Let k = -10 + 3. Let p(m) = -2*m - 1. Let d be p(-3). Let s(g) = -3*g**2 + 5*g + 5. Give d*b(w) + k*s(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1140034041 (base 5) to base 4.\nAnswer: -22021011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8 = -36. Suppose 0 = 2*r - 43 - 43. Calculate the remainder when r is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26715967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36171 is divided by 238?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3010212 + -4?\nAnswer: -3010216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, e: 10}. Give prob of sequence ejej.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 184983408 divided by -391914\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 5*x + 5. Let l(f) = 4*f - 6. Let w be l(3). Let g(s) = s**2 - 6*s - 6. Let n(r) = w*y(r) + 5*g(r). Let m(z) = 8*z**2. What is m(n(t))?\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41759 is divided by 121.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117 + 99 + 553 + 400)*(-18 - 4*j + j + 2*j).\nAnswer: -1169*j - 21042","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x**3 + x**3 - 59*x**3.\nAnswer: -73*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 216 + -414. Let u = -196 - d. Sort 0.1, u, -0.091 in descending order.\nAnswer: u, 0.1, -0.091","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4062, 8113, 12164?\n\"Answer: 4051*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 30. Let f = a - 15. What is the third smallest value in f, 1, -0.7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 121020?\nAnswer: 121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in -7\/4, -0.2, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 228773 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 61 (c) -5 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1840 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l - 15*l - 96 + 178*l - 130*l - 17*l.\nAnswer: -l - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/672 and -55\/660288?\nAnswer: 4622016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1500*i**3*u**2 - 8*i**3*u - 5*i - u**2 - 368 wrt i?\nAnswer: 9000*i*u**2 - 48*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 263051639\/747 + -352144. What is the common denominator of d and 23\/415?\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133483357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8767488 divided by 22832\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d5c + b23?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16195987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 3\/(-3) - -9. Let y be -90*10\/(-210) - (-2)\/(-7). Solve 0*k + u = y*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 4, 1, 90?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z = 1535. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 22*l**2 - 1414*l + 711. Calculate i(50).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101010000000011 - -11011010?\nAnswer: -101101001100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p + 0*p = 51 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuuxuxsx?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 107, 1\/2, 19, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*r**2\/3 - 4670*r\/3 + 888.\nAnswer: 2*(r - 333)*(7*r - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -27*g - 109. Let t be j(-9). What is the first derivative of -t*m**2 + 37*m**2 + 21 + 13 - 40*m**2 wrt m?\nAnswer: -274*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 + 1.3. Let j = n + 1.4. Which is the nearest to 3? (a) -0.5 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.7 - -18.699788. Round a to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 45*g**2 + 100*g - 60.\nAnswer: 5*(g - 6)*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6\/21 + ((-310)\/(-434) - (-15)\/(45\/(-42)))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(324))\/(sqrt(588) - -1*sqrt(588)))**2 + (sqrt(1152) + (sqrt(1152) - 1*sqrt(1152)))\/(sqrt(30)\/(sqrt(15)\/sqrt(3))))*4.\nAnswer: 675\/49 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2474*o - 1636. Let y(t) = 9936*t - 6544. Let h(a) = 11*x(a) - 3*y(a). Differentiate h(c) wrt c.\nAnswer: -2594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n\/n**(-49)))*n\/n**(1\/2) assuming n is positive.\nAnswer: n**(101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 2*i**2 + 4*i**2 - 2*i. Let k be g(2). Solve b + 2*u + 3 = k, 3*u + 6 = -5*b + 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qquququuuqqqu. What is prob of sequence uqqq?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14784, 12976, 11168?\n\"Answer: -1808*b + 16592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - j**2 + 2*j**2)*(1191 + 1080*j - 1191).\nAnswer: -2160*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.126 and -16193.\nAnswer: -16193.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 5*k**2 - 6*k + 6. Give a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 1:23 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 bigger than -148875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2. Let l(v) = 912*v - 6*v**2 + v**2 - 897*v. Calculate m(l(j)).\nAnswer: -25*j**4 + 150*j**3 - 225*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 594 and 24898401.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 12*z + 2. Suppose 0 = 3*y - 103 + 751. Let c be 5\/(-2)*y\/45. Let d be w(c). Solve 5*i + 19 + 6 = 3*m, 0 = i + d*m - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -24. Is n\/(4 - 3) + 6834 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.740666 nanoseconds to minutes.\nAnswer: 0.0000000004290111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**2 + 6 - 16*v + 9*v**2 + 4*v**2 - 11*v**2 in the form j + u*v + z*v**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 2*j - 6. Let r(o) = -o + 11 - 21 + 8 - 10 + 11. Calculate 6*r(g) - v(g).\nAnswer: -g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149923597?\nAnswer: 149923597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 357, -6, 0.4, -2\/15 in descending order.\nAnswer: 357, 0.4, -2\/15, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 110 - 15 = 5*l, -5*o + 5*l - 75 = 0. Let z be (o\/30)\/(2\/(-6)). Solve -z*j = -3*x - 0*x - 13, 4*x + 25 = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1198 = 5*p, 574 = 3*m - 2*p - 328. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1082*s**2 - 7*s - 87. Let q(b) = 3*b**2 - 3*b + 1. Let d(w) = h(w) - 3*q(w). Find the second derivative of d(i) wrt i.\nAnswer: 2146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(11) - sqrt(44)\/sqrt(4)) + 2 + sqrt(11) + 2)**2 + (-3*2*sqrt(891) + sqrt(891) + sqrt(891)*1 + -3)**2)*-4.\nAnswer: -57428 - 936*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/189 + 2\/9. Suppose 5 = p, -3*h + p + 170 + 212 = g. What is the remainder when h is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - -1 - 0\/(-20). Solve 4*m - 16 = -d*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 1 + 1)*(-4*v + 5*v - 2*v) + (578 + 718 - 1454)*((2*v + 0*v - 4*v)*(2*v - v + 0*v) - 2*v**2 - 8*v**2 + v**2).\nAnswer: 1736*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 272047.4 millimeters in micrometers?\nAnswer: 272047400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-36))\/(2\/6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 1\/12, -2, -20528?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1158 - 3.1158. Sort 4, 2\/19, a, 0 in decreasing order.\nAnswer: 4, 2\/19, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 496?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 5*b**3\/6 - 3*b**2 - 2*b. List the prime factors of p(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2 + 2. Let p(a) = -2*a - 38*a**3 - 2 + 2 - 1 - w*a**2. Is p(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 10. Suppose g + 9 + 0 = -3*n, -25 = 4*g + n. Determine d(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 i when four letters picked without replacement from nniyiiiny?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26131715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + o - 28 = 0, 5*b + 2*o = 67 + 2. What is the greatest common divisor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i - i - 17 - 2 + 2*i. Let d be a(-7). Suppose -f + 4 - 1 = 0. What is the greatest common factor of f and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2. Let j(z) = -312*z**2 - 1. Determine j(y(a)).\nAnswer: -312*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -472402.\nAnswer: 472407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -524.5867 - -0.4.\nAnswer: -524.1867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28818179.\nAnswer: 13, 17, 130399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - -0.2. Which is the second smallest value? (a) j (b) 1 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**5 - 531*k**4 - 2638*k**3 - 4212*k**2 - 2104*k = 0.\nAnswer: -526, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -512 - -514. Suppose 0 = -2*x + 3*c + c + 16, -c - 4 = a*x. Factor x*k - 4\/3*k**2 + 2\/3*k**3 + 0.\nAnswer: 2*k**2*(k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 10. Let d be c(5). Let k be (-4)\/10 + (-47)\/d. Let w(u) = -10*u - 15. Let y be w(-6). Calculate the highest common factor of y and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + 2)*34\/5. Suppose -2*h - 2 = -q. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389945, 389907, 389869, 389831, 389793?\nAnswer: 389755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2095, -4763, -7433, -10105, -12779?\n\"Answer: -y**2 - 2665*y + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (sqrt(252) + 0)*5.\nAnswer: -9 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -18. Suppose 20 = 6*k - k. Let r(u) = -u**2 - 5*u + 8. Let l be r(-6). Put g, k, l in increasing order.\nAnswer: l, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 9*f**2 + f - 2. Calculate s(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -12*k**3 - 53*k**2 - 30*k - 45. Determine n(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i*i**(-25)\/i))\/i))\/(i**(-28)\/i))**(15\/7) assuming i is positive.\nAnswer: i**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + b + 7163*b**2 - 7171*b**2 to n*b + m*b**2 + r and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -526, -528, -530, -532?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t = -5. Suppose -v = -3*y + 21, -y + v = t*v + 6. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -924847 divided by 12011.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*c + 313*c + 313*c + 308*c - 1579*c + 317*c.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 + -0.2. Let x = p - -0.1399965. Round x to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 5 = 58 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1078*v**3 + 21*v**3 + 191*v**3 - 2 - 1 + 3.\nAnswer: -866*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 748803496737.\nAnswer: 748803496738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/6 of a week?\nAnswer: 48720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (36900\/(-3357) - -8). Which is greater: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2120)\/5830*9*(-6)\/(-108)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -4\/115, 1, 2\/5, 6 in descending order.\nAnswer: 6, 1, 2\/5, -0.03, -4\/115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*b**6 - 18*b**2 - 66 + 7*b**6 + 2075*b**4 - 240 + 5014*b**4 + 12*b**6 wrt b?\nAnswer: 240*b**3 + 170136*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 278, 323, 366?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -644*j + 50889. Calculate h(79).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 24, 2\/9 in descending order.\nAnswer: 24, 2\/9, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = 3*k, -r - k = -0*r - 7. Suppose 12 = r*i + i. Differentiate 0*s - s + 0*s + 4*s + i wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/693 and 113\/28854.\nAnswer: 317394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 2\/27?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2966102 is divided by 739.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 9:05 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33082 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*b - 60*b + 12*b = -261*b + 20930 for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*j**3 + 7*j**3 - 6*j + 8*j - 6 + 4*j**3 to i*j**3 + n*j + q*j**2 + z and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1166 divided by -1\nAnswer: -1166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 248 = 2*r - 23, 4*r = 4*b + 536. Suppose r = 2*w - 5. Calculate the highest common factor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**4\/24 - y**3\/6 + y**2. Let t = 1390 - 1346. Let n(p) = -10*p - 11. Give t*g(w) - 4*n(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/17 + 1166*v**4\/17 + 85518*v**3\/17 + 1258834*v**2\/17 - 85520*v\/17 - 1260000\/17 = 0 for v.\nAnswer: -500, -63, -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m*s**4 - m*s**2 - 50*m*s - 2*m + 3*s**4 - 17*s**3 wrt s?\nAnswer: -24*m*s + 72*s - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*g**3 + 1\/4*g + 3\/8*g**2 - 3\/8*g**4 + 0.\nAnswer: -g*(g - 1)*(g + 1)*(3*g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 513598 - 513598. Let a = -8 - -8.8. What is the nearest to h in -2\/3, 0.2, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 0*j**2 - 4\/5*j**5 + 44 - 60*j + 0*j**4 - 2\/3*j**3. Differentiate u(t) wrt t.\nAnswer: -16*t**3 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -12*u**4 + 27*u**3 + 30*u**2 - 9*u = 0?\nAnswer: -1, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(sqrt(4000)\/sqrt(8)) - (sqrt(8) - sqrt(40)\/sqrt(5)*-6)\/(2*sqrt(324) - sqrt(324)))**2.\nAnswer: 578\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -13*g**3 - g**2 + 3*g. Let t(x) = x**3 - x**2 - x. Let h(d) = r(d) + 3*t(d). Factor h(b).\nAnswer: -2*b**2*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -408, -4, -1, 4, -120 in descending order.\nAnswer: 4, -1, -4, -120, -408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(2) + -1 + sqrt(2) + 0 - (sqrt(64)\/sqrt(2))**2.\nAnswer: -33 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 140*v + 325*v - 150*v.\nAnswer: 35*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 22, -394, 5, -2, 2 in descending order.\nAnswer: 22, 5, 4, 2, -2, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2907 from 2.66.\nAnswer: -2904.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 16, d + 2*y + 12 = -y. Suppose -4*m = 8, 0 = -2*q - d*q - 3*m + 164. Suppose 2*p - q = -3*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 14 = -4*g. Let l(n) = 3*n. Let p(z) = -2*z. Calculate g*p(y) - 5*l(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (24 + -13 + 8 + -3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 490464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 811*o - 40 - 63 + 103 to the form d*o + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/g)\/(g\/(g*(g*(g\/g**(-4))\/g)\/g))*g**(-4\/9)\/(g\/(g*g**0\/g))*((g*g\/g**0)\/g)**(-24)\/(g**(-1\/3))**(-23) assuming g is positive.\nAnswer: g**(-244\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 35*i**2 - 85*i + 117. Is 114 a factor of c(39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1325207270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**12\/i)\/i**2*(((i**(-2\/11)\/i)\/i)\/i)**25 assuming i is positive.\nAnswer: i**(-765\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1073819 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 665792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(15\/90)\/(3\/(-186))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5758*c - 5831*c + 146 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122766 and 52614.\nAnswer: 368298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 1. Let l = -23 + 25. Let g(d) = -5. Let n(r) = l*g(r) - 2*s(r). Let a be n(-5). Solve -a*o - 2 = 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 5 (c) 3 (d) 0.07 (e) -466\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + r + 1. Let t(l) be the first derivative of l**3 + 3*l**2 + 6*l - 84. Let d(u) = t(u) - 6*x(u). Let p(m) = -25*m. Calculate p(d(j)).\nAnswer: 75*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -352 - -563. Let g = d + -205. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 932*c + 27871. Determine f(-29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/26052 and -191\/558012.\nAnswer: 93188004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 727625216 and 456.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 390*n + 91. Suppose -34*d + 593 - 695 = 0. Let x(j) = -13*j - 3. Give d*u(g) - 91*x(g).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4489.265ml?\nAnswer: 4.489265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**15\/x))\/x**(1\/2))\/(x**(-1))**(-7\/11) assuming x is positive.\nAnswer: x**(-311\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/10)\/(318\/(-795))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/1880 and -67\/40.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23757366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -645, -2532, -5679, -10086?\nAnswer: -15753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4200 by 4.\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -21*s - 182 - 205 - 2*s**2 + 395. Let k be (2\/4)\/((-5)\/90). Calculate the remainder when z(k) is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93769.46us to nanoseconds.\nAnswer: 93769460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 2*b**2 + 7*b**2)*(4 - 6 + 1)*(3*b + 2*b - 3*b).\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 71167 = -26753. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3 - 1 = -3*g, -5*w = 5. Suppose 5*s + 10 = g, -j = -2*j - 3*s - 3. Suppose -j*a + 148 = a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 11) + -1 + 4 - 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 4*q + 5. Let n = 1 + -3. Let x be p(n). What are the prime factors of ((-54)\/x)\/((-21)\/70)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/4 and -12\/172655?\nAnswer: 690620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -31?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-5 - -38) + -7 - ((128 - 7) + -1)\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 143, -467, -1485, -2911, -4745, -6987, -9637?\n\"Answer: -204*c**2 + 2*c + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*q**2 + 41984 - 41982 - 99*q**2)*(0 + 2 - 3).\nAnswer: 65*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izi when three letters picked without replacement from ieeeefivjvieeevzz?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 97*i - 543. Let p = 48 + -27. Calculate the remainder when u(6) is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32\/(-40) + 666\/(-15)*-67?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2941.7 and -202582?\nAnswer: 205523.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2649.01664 + 2649. Round n to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*x + 2*i, -2 = -40*i + 41*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.35 - 0.05. Let k = -31 - -30.6. What is the closest to w in k, 2\/5, 5\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212102100 + 22001100?\nAnswer: -120101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**5 + 12*s**4 + 13*s**2 + 5097*s wrt s?\nAnswer: -20*s**3 + 144*s**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32110 + 32101. What is the smallest value in 0.5, -2, 5, h, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6604 + -3525. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4777155?\nAnswer: 3, 5, 53, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = g + f - 5, 0 = -4*g + 3*f + 304. Solve 85 - g = -2*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1960 or -2024?\nAnswer: -1960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 0, 8 in descending order.\nAnswer: 8, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (21 - (-10 + 23))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -13*v**2 - 3*v - 3 - v**3 - 4*v - 6*v. Let q be y(-12). Let l(w) = w - 6. Let i be l(q). Solve -b + i*b + 3*d = 1, 2*b + d = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/40*-25 + -63 + 10\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 4*g + 60, 48261*d - 48266*d - 3*g = -60 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-5) - -1)\/(279\/2299890) is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j**3 - 40*j**2 - 31*j**2 + 71*j**2.\nAnswer: -17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -380, 263, 1942, 4651, 8384, 13135?\n\"Answer: -q**3 + 524*q**2 - 922*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**3 + 12*u**2 + 38*u - 48 = 0?\nAnswer: -3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 28671345 divided by 53995\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u*u\/u**(-4)*u*u*u)\/(u\/(u*u**3))**(1\/70))**(5\/2) assuming u is positive.\nAnswer: u**(563\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -61, -74, -87, -100, -113, -126?\n\"Answer: -13*h - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/30 and -49\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o + 0*o + 2 + 8*o + o**2 as m*o + t*o**2 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/421 (b) 13.3 (c) 1\/10 (d) 3\/4 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -29*g**5\/20 - 728*g**2 - 80*g + 5. Differentiate c(b) wrt b.\nAnswer: -87*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 45.925. What is z rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242 + -1140432?\nAnswer: -1140140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 1 = k, -4*k = 4*w - 23 + 27 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -5. Let m = -35 - -13. Is 11 a factor of m\/(2\/a - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t = -5*h, -2*t = -101*h + 104*h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 9:08 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 54 = 4*v. Let d(k) = 4*k**3 - 9*k**2 + 2*k + 8. Let z(l) = -5*l**3 + 10*l**2 - 2*l - 9. Let r(u) = -6*d(u) - 5*z(u). Does 7 divide r(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1045*a + 19693*a + 40692*a.\nAnswer: 59340*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*k + 33 = -7*k, -4*n - 247 = -3*k. Let r = -39 - n. Suppose -54 = -3*d - 2*v, -5*v + 35 = 3*d - r. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 8*i**2 - 3*i - 2. Let t(n) = -n + 11. Let g be t(5). Let f be y(g). Suppose -7*v + f = -3*v. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 12:26 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 44*n**3 - 104*n**2.\nAnswer: 4*n**2*(n - 2)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153.53*71.\nAnswer: 10900.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z - 22 = 0. Suppose 3*o = 7*w - 3*w - z, o - 14 = -4*w. Let q(i) = -5*i**2 - 3*i + 2*i**2 + i**2. Give q(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from rpuopooorpross?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is aa26a - -14?\nAnswer: aa282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(528)\/((sqrt(55)\/sqrt(5) + sqrt(11))*5) + 1 + -4.\nAnswer: 2*sqrt(3)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 7*r + 38. Let j = 55 + -52. Suppose -1 - 32 = j*k. Let i be h(k). Is -31\/5 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 - 4. Let d(r) = 4*r**2 + 4. Determine 2*d(y) + 3*k(y).\nAnswer: -y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 + 78.69. Let n = 0.01 + w. Let h = -0.3 - n. Which is greater: 1.1 or h?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002122 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 529114*d + 5291138. Determine t(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, 1.349, 4, 63, -0.2.\nAnswer: -3, -0.2, 0.5, 1.349, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 942 and 600.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 58746 (base 10) to base 4\nAnswer: 32111322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1623417, 3246848, 4870279, 6493710, 8117141, 9740572?\n\"Answer: 1623431*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**2 + 36*c + 40 = 0. Calculate c.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 6:23 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 65 - 17*g)*(-g + 0*g + 2*g)*(4*g**3 - 5*g**3 + 2*g**3).\nAnswer: -17*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-56))\/((-30)\/70)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -154 + -2859538?\nAnswer: -2859691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(3\/5)\/(i**(-1)\/i*i*i*i**(2\/15))*(i**6*i*i*i**(1\/5)*i*i*i*i)**(15\/7) assuming i is positive.\nAnswer: i**(2731\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41640582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1510345133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*a - z, 3*z = 5*a - 8 - 2. Let n be (120\/(-300))\/(3\/a). Let k = -0.2 - -0.2. What is the closest to 1\/8 in n, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -1222?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036977753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1113898, 1113897, 1113896, 1113895, 1113894, 1113893?\n\"Answer: -c + 1113899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*d + 136 - 136.\nAnswer: 67*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4106575 - 0?\nAnswer: -4106575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1242 = 4*o, 4*o - 7*n + 11*n - 1224 = 0. Let v = -57782\/187 + o. Is v < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 3 + 2*h**2 - 4*h + 4 + 12 in the form q*h**2 + l*h + i and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17880, -71503, -160874, -285993, -446860, -643475, -875838?\n\"Answer: -17874*b**2 - b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -4. Let r be 2*f*(-9)\/(-24). Solve r*g = 7 - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 588 - 594. Let y(f) = 7*f**3 + 6*f + 1. Let w(i) be the first derivative of 11\/2*i**2 + 2*i - 3 + 0*i**3 + 13\/4*i**4. Give z*w(p) + 11*y(p).\nAnswer: -p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 107*v - 4. Let z = 18 + -15. Is w(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 16*l**2 - 6*l - 81. Give d(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - -22 - (0 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - sqrt(133)\/(sqrt(14)\/sqrt(2))) + 1)*-4*4)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2331 + -166067?\nAnswer: -163636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + d + 0)*(0*d + 0*d - d) - 25*d + 9*d**2 + 25*d - d**2 - 3*d**2 + 2*d**2 + (-4*d + 3*d + 3*d)*(-2*d + 2*d - d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5\/7 - 24*k**4 + 522*k**3\/7 + 1544*k**2\/7 + 855*k\/7 = 0.\nAnswer: -171, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.037 and 138?\nAnswer: 138.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -16 in decreasing order.\nAnswer: 0, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erdeytqt. What is prob of sequence tr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33935796 and 531.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 3*l + 0*l - 20*l - 73 + 73 - 6*l + 0*l + 4*l + (-4*l + 0*l + 5*l)*(3 - 2 - 2) + l - l - l.\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -11. Let u(n) = -n + 15. What is the remainder when u(s) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 7*h**2 - h + 10. Let j be z(7). Let y(o) = -438*o + 110402. Let f be y(252). Sort -3, f, -2, j in increasing order.\nAnswer: -3, -2, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/90 - (-558)\/(-10). Let u = -33 - v. Let n = u - -1. Calculate the remainder when n is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3673+3.29\nAnswer: 3676.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 = -4*g - g. Let k = g + -5. Suppose 4*d + h = k, -2*d - 3*h = -14 - 36. Calculate the lowest common multiple of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687 != 517860\/307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b - 58. Let v = 174 - b. What is the highest common divisor of v and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**7\/840 + 71*i**4\/6 + 53*i. Let k(s) be the third derivative of p(s). Let j(v) = -97*v. Determine j(k(w)).\nAnswer: 291*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 88 (c) 5 (d) 4\/43 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 - -1112121021200?\nAnswer: 1112121022210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139 - 150 - 12306*r**2 + 289 to x + p*r + q*r**2 and give q.\nAnswer: -12306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 6ba5?\nAnswer: -6ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -134635.\nAnswer: 53854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhjodhuhhhuhjijoji. Give prob of sequence oujd.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1600.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 37142 (b) 0.022 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-176))\/((-20)\/(-16))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 25*u**2 + 1451*u - 1401. Determine t(-59).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(18\/154) - 168\/126. Which is smaller: -35 or z?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 2*a**2 + 3*a + 2. Let d be w(-8). Let i = d - -898. Suppose 12*q = -0*q + i. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 27\/8, 2, 6, 55?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000395046 to seven decimal places.\nAnswer: 0.0000395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13480317 >= -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(7))*-6)**2*2.\nAnswer: 144*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -441 + 447. Solve j = -30*l + 28*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14265 - -9029746\/633. Which is the third biggest value? (a) -0.4 (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 6*o + 4*o, -h + 5*o = 18. Suppose 0*f - 20 = -h*f. Let c = f + -3. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - 72*w - 87*w - 71*w - 129*w - w**3 + 525*w to a + b*w**3 + q*w**2 + n*w and give n.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esw when three letters picked without replacement from {w: 2, s: 2, n: 1, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 i when three letters picked without replacement from {w: 1, y: 2, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.31 + 0.61. What is the second smallest value in 2, 4, n, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12200 by -4.\nAnswer: 3050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70787, -73179, -75571?\nAnswer: -77963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (21419\/3)\/(2280\/(-72) + 32)?\nAnswer: 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-726*z - 268*z - 117*z)*(-2*z - 3 + 3) to s*z + m*z**2 + v and give m.\nAnswer: 2222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 753*c + 8292. Determine v(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6, 23, -2\/115?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*s + 367*s = -5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 768 + 240997. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + 0.17. Let d = 805 - 813. Sort h, d, -4.\nAnswer: d, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/7 (b) -4 (c) -15 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(3\/2)\/c)*c*(c*c*c\/(c*c\/c**1))\/c)\/(c**28)**(1\/27) assuming c is positive.\nAnswer: c**(133\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3556?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143 + 14130214?\nAnswer: 14130412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-158)\/(-123) - 876\/(-17958))*84\/(-35).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjjyivoivoz. What is prob of picking 1 j and 1 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i + 9. Let j(o) = -o**2 - 5*o - 7. Determine 5*d(y) + 6*j(y).\nAnswer: -6*y**2 - 5*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 4*s + 4*s)*((26*s + 96 - 96)*(-3 + 3 - s)*(-1 + 1 - 1)*(2 + 7 - 2) - s**2 - 3 + 3).\nAnswer: -181*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14014 and 3562.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffaffaafffaaaafafafa. What is prob of picking 2 a?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 59. Let u = q + 15. Sort u, 1, 4, -39.\nAnswer: -39, u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.1048 + -0.01?\nAnswer: -0.1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x + 369 = 3*y, -x - 91 = -y. Let g be ((-1)\/2)\/((-6)\/x). Is -2 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1674 divided by 6\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**2\/11 + 34*o\/11 + 336\/11 = 0.\nAnswer: -7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r. Let v(n) = 2 + 2 - 3*n - 4. Let u(p) = 5*d(p) - 8*v(p). Let z(k) = -8*k - 1. Determine -14*u(g) + 2*z(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4792 + 5402. Calculate the remainder when w is divided by 89.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*a + 72*a = 25, -4*y - 3*a = -219. Suppose 4*m - 105 = -3*z - 0*z, -45 = -2*m - 3*z. What is the remainder when y is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-320)\/(-28) + (-7 - 46\/(-7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by -24.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 606.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -304*t - 6180. Let s be d(-21). Calculate the greatest common factor of 18258 and s.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 6*r**4\/5 - 13*r**3\/5 - 63*r**2\/5 + 82*r\/5 - 24\/5 = 0?\nAnswer: -3, 1\/2, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2025 divided by 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 301*v - 607*v + 45 + 299*v in the form j + g*v and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*p + 9*p**2 - 14*p + (1 + 0 + 1)*(p**2 - 2*p**2 + 0*p**2) + 6*p**2 + 14*p**2 + 4*p**2.\nAnswer: 31*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 17 - 23 = -4*a, g + a = 12. Suppose 978 = -g*b + 1058. What is the remainder when 4*1\/8*134 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*16\/20*1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*p + 11599985, 3*g - 8*g = -5*p + 14500015. Round g to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4\/24*(-10)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-46257)\/(-306) - (-28)\/(-24) is divided by 81?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 6*d**2 + 16*d + 2. Let a be m(7). Suppose 0 = -4*l + 17 + a. Suppose s - l = 4*k, 3*k - 2*k - 25 = -s. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**5 + 842 - 842 - 11*k**2 wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427746787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*p**3 + p + p**5 + 8*p**3 - 8*p**3 wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*a + 3*g + 3, -g - 1 = a. Suppose 3*l - 3 = -3*p, 5*l - 1 = -2*p + 10. Suppose -5*i - 3 = -l. Solve -4*w + i*w - 12 = a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14240 (base 5) to base 7.\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 5, e: 3}. What is prob of sequence if?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1092, -1366, -842, 486, 2624, 5578, 9354?\nAnswer: 13958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/3*-1 + 1. Let x(c) = 9*c + 2 - c + m*c**2 + c**2 + 0. Suppose -9*w + 21 - 75 = 0. What is x(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(1\/2)))\/f)\/((f*f**(1\/8))\/f*f) assuming f is positive.\nAnswer: f**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4081 + -4067. What is the remainder when 4631 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h*h**(-4\/21))*h)\/h)**(-24))**(-3))**(2\/103) assuming h is positive.\nAnswer: h**(192\/721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340, -687, -1040, -1399, -1764, -2135, -2512?\nAnswer: -2895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 25.7123651105?\nAnswer: 23.7123651105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 1893857880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 11:53 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, n: 1, x: 2}. What is prob of sequence xxxw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-60)\/12 - 734\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**4\/24 + 2*o**2. Let r(v) = -6*v. Let h(x) = x. Let k(c) = 15*h(c) + 3*r(c). Give k(a(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 39*b**2 - 68*b - 212. Let r be q(37). Solve 2*k - 5*s - 9 = -25, 3*k = -s + r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*c - 4*j, -3*c + 17 = -4*j + 7. Let k(d) = -d**2 + 5*d + 2. Let f be k(5). What is the second derivative of q**2 + 0*q + c*q + q**f wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let c(b) = 22*b**2 + 7*b + 2. What is -c(j) + 6*v(j)?\nAnswer: -16*j**2 - 7*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369453.\nAnswer: 3, 7, 73, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18) - (-2)\/3*(-2184)\/4284.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6405864 is divided by 5048.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2080, -8427, -19006, -33817, -52860, -76135, -103642?\nAnswer: -135381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25060*h**5 + h**3 - 298467*h wrt h?\nAnswer: 501200*h**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 - -2.14. Let n = 0.0611 + -0.5611. Let f = 1.8 + 1.2. What is the biggest value in f, n, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16478, -16690, -16892, -17078, -17242, -17378, -17480, -17542?\n\"Answer: f**3 - f**2 - 216*f - 16262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2. Let l(y) = 4*y - 2*y - y**3 + 7 - 7*y**2 + 6*y. Let a be l(-8). Let u(h) = a - 7 + h**2. Calculate g(u(j)).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 706426236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3228.74 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: d4214 (base 15) to base 13\nAnswer: 1a6bb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -785840 divided by -47\nAnswer: 16720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -0.1 (c) -27 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7)*w)\/w**(-1\/3)*w**1*w**8*w*w assuming w is positive.\nAnswer: w**(265\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 5250497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -516*a**6 - 312*a**2 wrt a?\nAnswer: -61920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1365, -1, -2, 3 in decreasing order.\nAnswer: 1365, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1 = 13, -2*l = a + 4. Find the third derivative of -a*h**5 - 150*h**3 + 61*h**2 + 131*h**4 + 3*h**4 + 48*h**4 + 150*h**3 wrt h.\nAnswer: -120*h**2 + 4368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 0*i**4 - 1\/140*i**5 + 9*i + 1\/14*i**3 + 5\/2*i**2 + 0. Let a(u) be the first derivative of s(u). What is b in a(b) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzvvzzvzzzzz. What is prob of sequence vv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -5\/2 (c) -37 (d) 6 (e) -0.3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 + 13.8.\nAnswer: 15.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from qiqi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 162*o**3 - 3*o + 2. Is y(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + f - 1. Let w(s) = -6*s**2 + 5*s - 5. Let b(a) = -a - 9. Let l be b(-4). Let n be (-7)\/l - 4\/10. Determine n*w(k) - 5*x(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -125?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 + 6*j**2 - 75 + j**2 - 6*j**2 to the form u*j**2 + r*j + x and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.24 times -0.6?\nAnswer: -3.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*1 + -2 - sqrt(1225)\/sqrt(7))**2.\nAnswer: 16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1204 + 1233 + 24*z - 134*z with respect to z.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 817181 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - 62. Let j(h) = -5*h + 32. Let k be j(w). Solve 2*f = -y + 4, k*f + 5*y - 2*y - 12 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + (sqrt(1053) - (3 + sqrt(1053) - sqrt(1053))*-5)**2)*-5 - (4*(1 + sqrt(1053))*-1)**2) + -5.\nAnswer: -23259 - 1683*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*y + 0 - 2 = 0, 3*y + 2 = -g. Is (g\/(-3))\/(10\/1905) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -484, -1914, -4290, -7606, -11856, -17034?\n\"Answer: o**3 - 479*o**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/3036 and -93\/276368?\nAnswer: 9120144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 61003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2745*j. Let v(s) = -98*s**2. Give g(v(t)).\nAnswer: -269010*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 11:48 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -2*i**4 + 4*i**3\/3 - 181. Let d(j) = 7*j**3 - 3*j**2. Let r = -13 + 8. Calculate r*c(v) - 6*d(v).\nAnswer: -2*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15111.8 - 28823.8.\nAnswer: -43935.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2\/5 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5295*x + 1392589. Determine s(263).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5\/3 + 38*l**4\/3 + 58*l**3\/3 - 182*l**2\/3 - 68*l = 0.\nAnswer: -17, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536521.\nAnswer: 23, 23327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -5, 56, -138, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 - 34*r**3 + 260*r**2 - 368*r.\nAnswer: -2*r*(r - 4)*(r - 2)*(r + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - m**2. Let g be o(-2). Suppose -2*u - 7 = -5*j, -2*u - 23 = -5*j - g*u. Suppose -4*x = -j*f + 17, f - 5 = x - 0*x. Solve -20 = -f*a - a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 7*i - 14. Let n(s) be the first derivative of -s + 4*s + s + 4*s**3 + s**4 + 6*s**2 - i - 4. Determine k so that n(k) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 276 + -257. Suppose -s*h + 1256 = -3418. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*i**3 - 2656411*i**2 - 2567893*i + 88548 = 0. Calculate i.\nAnswer: -1, 1\/30, 88548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbmn when four letters picked without replacement from {b: 9, m: 1, n: 7, e: 1}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22\/19, -84\/11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -778*d + 103156 = 739*d for d.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -104950*t + 5037599. What is l(48)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 327, 880, 1901, 3546, 5971, 9332?\nAnswer: 13785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 + 2*g - 4*g + 11*g**3 + g**3 - 6*g**3 + 2*g**2 in the form a*g**3 + w + v*g**2 + o*g and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1487555?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {g: 1, f: 4, q: 1, l: 1, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g = -3197 + 2665 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.58 - -0.3. Let s = 0.15 + x. Let q = s + 0.1279. What is q rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642408 is divided by 227?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 87\/2, -2\/13, 0.24, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**3\/5 + 36*m**2\/5 + 304*m = 0?\nAnswer: -20, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3 + 5*sqrt(99))**2 + (5 + -1*(5 + sqrt(11)))**2).\nAnswer: 270*sqrt(11) + 7485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -9 + 1157 + 11 + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9386345?\nAnswer: 5, 37, 113, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 5*x - 39 = 0, 14366*x = 14362*x - 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8442 or -8415?\nAnswer: -8442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 w when three letters picked without replacement from {p: 5, w: 3, b: 2, i: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 10*w**2 - w + 13. Let k be s(10). Suppose -h + 207 = 3*h - k*d, 5*d = 5*h - 260. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 b when four letters picked without replacement from {b: 4, j: 1, x: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 6*c + 9. Calculate t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 115 - 1357 = 0. What is the highest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.714897 and -821.04?\nAnswer: 813.325103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 7. Let y be q(7). Suppose -4*o = -4*n - y*n - 8, 0 = -o + 5*n + 6. Put o, -3, -1 in descending order.\nAnswer: o, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6350045718\/76795 + -1992\/15359. Let m = 82090 + p. Let t = m + 596. What is the closest to t in 2\/15, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcszwpc. Give prob of sequence cs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 7:22 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 - 162*h**2 + 46*h**2 + 49*h**2 - 137 + 68*h**2.\nAnswer: h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/8*(-88)\/(-132)*(-456)\/(-19)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 91*z - 1597. What is o(17)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84724182 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1793394.\nAnswer: 2, 3, 33211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 125857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 237.6966 tonnes in milligrams?\nAnswer: 237696600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -497, -1139, -1927, -2861, -3941?\nAnswer: -5167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z + 1. Let h(s) = -s**3 + 6*s**2 - 35*s + 124. What is the lowest common multiple of z and h(4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*p + 1 + 0 = 0, -p = -2*d - 1. Let h = -9 - -10. Let r(x) = 3 - 6*x**3 - 3 - 3*x**3 + h. Determine r(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cerecccrc. What is prob of picking 2 r and 1 e?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3cb - 296?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 - 5*o**2 + o + 3. Let v(z) = z**3 - 1. Let l(y) = j(y) - 3*v(y). Let b be l(-5). What is the tens digit of 24\/b - (0 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 920 times 14\nAnswer: 12880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1482 = -2*w + r, 4*w - 5*r = 3000. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**4\/3 - 19092*q**3 - 68620740*q**2 - 5928778100*q\/3 - 8168164000 = 0.\nAnswer: -7145, -24, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2639 divided by 203\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127312*y + 15661*y + 8 - 8.\nAnswer: 142973*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 5373079 - 5373079.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6276728183?\nAnswer: 11, 570611653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -2*n**3\/3 - 32*n**2 + 33. Let g(q) = -2*q. Calculate f(g(c)).\nAnswer: -8*c**2 + 128*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -27*b**4 + 235*b**2\/2 + 97. Find the second derivative of v(n) wrt n.\nAnswer: -648*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1488 = -44*m + 100*m + 68*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1038*o**6 - 6*o**2 - 51*o - 1?\nAnswer: 124560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*u**3 + 45*u**2 + 50*u**2 - 4*u**4 + 37*u**2 + 3 - 134*u**2 to n + d*u + i*u**2 + m*u**3 + b*u**4 and give m.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 8*m + 6*m + 3512, 3*m = -3*n - 2634. Let j = n - -914. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13406129*l**2 - 5*l - 107257286 wrt l?\nAnswer: -26812258*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2212.5325 rounded to the nearest ten?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-540)\/9180*850\/(-1).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 52*p - 126. Calculate g(10).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 2, b: 2, a: 3}. What is prob of picking 2 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24101 divided by 3443.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10.6 * 2\nAnswer: 21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-6 - (-345)\/60. Let j = -13.6 - -14. Which is the closest to v? (a) -6 (b) j (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from ettte.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -962 - -52912\/55. What is the closest to -0.2 in -2\/3, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a kilometer in meters?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or -3\/76?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1923*w - 44157 = -5*w + 86947 for w.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (2 - 19) + (13 - 19 - 2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 4 - (-30 + 2). Suppose -8 = 5*d - d, 2*h - 4*d + y = 0. Which is smaller: -19 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 2}. Give prob of sequence sus.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*b = 4*g - 4575 + 4167, -23 = b - g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/40*30*24\/(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -677 divided by 8?\nAnswer: -677\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106530 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 12 = -n. Solve 4 = -4*j - n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/9)*u)\/u**4*(u*u\/(u\/u**(-1\/7)))**33 assuming u is positive.\nAnswer: u**(1586\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 10, 136\/7 in descending order.\nAnswer: 136\/7, 10, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*w + (-1 - 1 + 3)*(-2 + 2 - 1)*(2*w - 5*w + 0*w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-230)\/276)\/((4\/2)\/(48\/(-150)))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 41 = -2*s, -4*s = 2*v - 205 + 63. Calculate the greatest common divisor of s and 17259.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p**2 + 157*p**3 - 17*p**2 + 120*p**3.\nAnswer: 277*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.18 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10643 - 10411. Solve a*p - 8 = 224*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emeq when four letters picked without replacement from {m: 9, q: 1, e: 4}.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1480, 1479, 1466, 1435, 1380, 1295?\nAnswer: 1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*2*(-21)\/7*(-29)\/725?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 9593670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-36)*12\/24*6\/(-12)*2\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 3 + -6 + 5. Solve 5 = d*l + y, l - y + 1 = -0*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 16*a**2 + 442*a - 11*a**2 - 48841 - 4*a**2.\nAnswer: -(a - 221)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7932*p**2 + 34292*p**2 - 57*p + 57*p.\nAnswer: 42224*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 16*x**3 + 7 - 44*x**3 - 7 to s*x + r + l*x**2 + b*x**3 and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 16*u - 10. Determine y(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-12)*4)\/((-78)\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2030375480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (1565\/75)\/(70\/30).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {d: 1, a: 3, q: 5, b: 1, x: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -42.9999245. What is f rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9248, -37185, -83770, -149003, -232884?\n\"Answer: -9324*q**2 + 35*q + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-72) + 4478412\/(-212976).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 13725?\nAnswer: 11\/13725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 58*y**2 + 98*y - 360. Give j(-56).\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203275 = 2864*k + 174*k + 82297 for k.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*36\/(-48) - (0 + (-5)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -15*y**2 + 16*y. Let w(t) = -44*t**2 + 48*t. Let n(f) = -11*k(f) + 4*w(f). Find the second derivative of n(s) wrt s.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -14.1. Let k = f - 2. Suppose -5*x + 2*x = 0. What is the second biggest value in x, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 23 = 2*w - 5*l, 10 = -2*w - 4*l. Solve 4*d = -4*q - 20, -5 - 2 = -q + w*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 3*x - 2*x)*(-4 + 3 + 3)*(3*x**3 - 5*x**3 + x**3 + (-3 + 0 + 1)*(-6*x**3 - 6*x + 6*x) - 2*x**3 + x**3 + 0*x**3).\nAnswer: -60*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 45. Let u be (-8)\/g + 22\/5. Suppose 52 = u*v - 92. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 21*w - 2\/3*w**3 + 0 + 0*w**2. Let p(f) = -7*f**2. What is h(p(b))?\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20919715 a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/3 - 748732*m**3\/3 - 46716883562*m**2 - 280299055180*m\/3 - 140149153225\/3.\nAnswer: -(m + 1)**2*(m + 374365)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**7\/42 + a**6\/30 + a**5\/20 - a**4\/12 + 3*a. Factor b(p).\nAnswer: -p**2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -1 (b) -2\/35 (c) -8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -273*j - 278*j + 545*j - 10. Let x(b) = 4*b + 9. Let y(a) = 5*r(a) + 6*x(a). Let o(n) = -n. What is -5*o(v) + y(v)?\nAnswer: -v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 2:10 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/((-160)\/30))\/(-1) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1212 (base 4) to base 16\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -256*g - 37173. Determine r(-145).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102950628?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 21*i**2 - 45*i - 27.\nAnswer: -3*(i + 1)*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, p: 3}. Give prob of picking 3 p and 1 r.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -256, -2550, -8756, -20824, -40704, -70346, -111700, -166716?\n\"Answer: -325*p**3 - 6*p**2 - p + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207191167*l + 207191167*l + 115*l**3.\nAnswer: 115*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100.9 + -3.5. Let x = -97 + y. Which is the biggest value? (a) -3\/7 (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -5*l**2\/2 + l + 17. Let w be n(-4). What is the highest common factor of w and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -377964*1.6.\nAnswer: -604742.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1515.6 + -1516. Let r be -2*(-3 + 369\/124). Let s = r + 209\/806. Which is the second biggest value? (a) s (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1497 and 15654.\nAnswer: 7811346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*j + 35, 5*j + 14 = b - 7. Let u = b - -10. List the prime factors of u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1, -234, -9 in decreasing order.\nAnswer: 3, -1, -3, -9, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20447 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 84 = 5*h. Suppose 2*k + 4*q = 0, 2*k - h*q + 5*q = 0. Solve k = x - 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 124, 67 in decreasing order.\nAnswer: 124, 67, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a. Let t(b) = 7*b - 1. Let w(x) = -3*t(x) - 2*u(x). What is w(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**1\/p)\/p**(-5))\/(p\/p**(-1\/3))**(9\/4))\/(((p*p**0*p*p)\/p)**(-17)*(p\/p**2)\/p*p*p\/(p\/p**(-2))) assuming p is positive.\nAnswer: p**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253351 is divided by 50670.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 101 + h - 97 + h - 2*h**3 as n*h**3 + a*h + q*h**2 + g and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.14, 5, 21\/8?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*u**3 - 58*l*u**2 - 42*l + 1084166*u**3 - u**2 wrt l.\nAnswer: 2*u**3 - 58*u**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 12:28 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*x - 70. Suppose 2*d = x + 1. What is the remainder when ((-258)\/(-15))\/((2\/(-5))\/(-1)) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -0.1 (c) 10 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16597 - 414923\/25. Put 2\/5, 0.2, 3, -2\/63, b in increasing order.\nAnswer: -2\/63, b, 0.2, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 10:03 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16466 - -250?\nAnswer: 16716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-26)\/4)\/(43\/(-172)). Suppose -6189 + 1249 = -10*s. Calculate the highest common factor of m and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 531544 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 202751 = n - 222093. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 2*t + 36 = 0, -u = -5*t + 1290 - 1304 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/o**(-4\/3)*((o**(-1)\/o)\/o)\/(o*o\/(o**(-3)*o)))\/(o**0*o**(-5)*o*o**(-5)*o*o*(o**(-2\/17)\/o)\/o) assuming o is positive.\nAnswer: o**(23\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1310285 or -1310286?\nAnswer: -1310286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*g = 505*g - 101*i + 97*i - 106, 0 = 2*g + i - 32 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.590312 millilitres in litres?\nAnswer: 0.000590312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 262, 987, 2436, 4855?\nAnswer: 8490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, m: 2}. What is prob of picking 3 a?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brb when three letters picked without replacement from rrrrrrbrrbbrrbbbbrr.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2665, -5316, -7967, -10618, -13269?\n\"Answer: -2651*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*x = -127*x - 29. Suppose 0 = 3*q - 5*t - 172, -7*q + 8*q = -4*t + x. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -10. Let o = 2195 + -2189. Calculate the highest common divisor of y and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.246 + 0.036. Is i less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38376\/(-78)*(-1 - (-2)\/4) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 1 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l - 136 = 6*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 43*t - 5 + 1.\nAnswer: -43*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**4 - a**3 - 8*a**2 + a - 1. Let o(v) = -4122*v**4 - 7*v**3 - 56*v**2 + 7*v + 3135. Let b(z) = -7*m(z) + o(z). What is the derivative of b(w) wrt w?\nAnswer: -16516*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 54. Factor 16 - 5*h - b + 0*h - 28 + 2*h**2 - 25*h.\nAnswer: 2*(h - 16)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39243068*g**2 + g - 39244433*g**2 - g.\nAnswer: -1365*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 11929466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 16 = 4*t + 4*k, 0 = 5*t - 2*k - 17. Suppose -o + t*h = -46, -3*h = o + h - 1. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/56 or 1?\nAnswer: -9\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 149944 smaller than 149664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1\/2)\/s)\/s**(-5\/2))\/(s**1*s)**(-29))\/((s*s**(-1))\/s**(-1\/3)*(s**0)**(-3\/20)) assuming s is positive.\nAnswer: s**(179\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10507, -41842, -94001, -166930, -260575, -374882, -509797?\n\"Answer: 9*s**3 - 10466*s**2 - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2309535 is divided by 45.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000375663 to 7 dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.12118*5\nAnswer: 0.6059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9853 - -3.1153. Which is the second biggest value? (a) 5\/4 (b) 0.121 (c) -1\/3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6759\/22 + 1318951\/4290. What is the common denominator of 5\/159 and v?\nAnswer: 10335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.10194 - 544.79806. Let k = 656 + g. Round k to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8309113, 8309112, 8309111?\nAnswer: 8309110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 1. What is t(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 1. Suppose 4477 = -14*l + 4463. Let q(m) = -4*m - 1. Give l*q(u) - 3*w(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -842854014*u**3 - 255183167 wrt u?\nAnswer: -2528562042*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -344*d + 1701. What is o(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 232 - 232 + 31327*q - 60029*q to the form i*q + t and give i.\nAnswer: -28702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 5. Suppose -50 = -3*b + 5*c - 1, 0 = 4*b + 5*c - 7. What is the units digit of 2\/o - (-58)\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -14*f - 96, 5644602*f - 5644597*f = r - 12 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 14. What is the greatest common factor of 65 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 10 + 14. Suppose -8 + 0 = c*a. Let f(p) = 3 + 2*p + 2 - 4. Calculate f(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 15, 52, 113, 204, 331, 500, 717?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2964 divided by 39?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*b**2 - 15*b**2 - 10*b**2 + 3*b**2 to w + h*b + o*b**2 and give o.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3365*g**2 + g - 2*g - g - 1 + g.\nAnswer: -3365*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9\/11, 1, -0.2, 1345, 2\/3, 5, 0.1?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 12:15 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225650 and 59050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1338d + -c1d?\nAnswer: 12570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -4. Let q be (43 + -62 - -16) + 4\/(-1). Put c, 0.5, -2\/5, q in ascending order.\nAnswer: q, c, -2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**2 + 239. What is h(-15)?\nAnswer: -886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, -2, 499 in decreasing order.\nAnswer: 499, 95, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyvvwyvlwlwvlll. What is prob of picking 3 w and 1 l?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18849340 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggmz when four letters picked without replacement from {g: 3, m: 1, k: 4, p: 1, z: 4}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + (10 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2808441*t - 2809072*t + 40288 = -12085 for t.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*z - 2, 0*z + 4*z - 4 = 0. Let u(c) = c**3 + c + 40. What is the tens digit of u(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -452 - -604. Let l = u - 141. Calculate the remainder when l is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 14*w**2 - 13*w + 2. What are the prime factors of i(4)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3017726\/21 - -431105\/3. Factor m*q**3 + 18\/7 + 3\/7*q - 12\/7*q**2.\nAnswer: 3*(q - 3)*(q - 2)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -9*q + 5. Let u(x) = 5*x - 3. Let w(y) = -3*j(y) - 5*u(y). Let o(h) = 3*h. Determine w(o(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (-2)\/(4\/14). List the prime factors of (6\/5)\/((-2)\/j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4582 - 1?\nAnswer: -4583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(0 + 1))\/1. Let l be (-1)\/(-2)*(8 + 0). Let g be h\/(-4) - (-5)\/l. Solve 0*v + g = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 130 + 18.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 42. What is the smallest value in 0.3, 22\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.4. Put z, 0.1, 0 in decreasing order.\nAnswer: 0.1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18457 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(160)\/sqrt(4) - sqrt(40))\/((sqrt(60)\/sqrt(2))\/sqrt(3)))\/(sqrt(72)*4 - sqrt(72) - sqrt(288)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -5, -2, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j. Let q(x) = -15*x**2 - 13*x. Let b be -4*(-1 - 20\/(-8)). Let u(a) = 7*a**2 + 6*a. Let m(n) = b*q(n) - 13*u(n). Determine m(f(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 2. Let v be (-3)\/(-15) - l\/(-10). Solve 0 = -v*o - 3*o - 5*h + 20, -2*o + 2*h = -8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2481*j**4 + 2*j**3 + 4*j**2 + 4*j + 12010. Let p(d) = -d**4 + d**3 + 2*d**2 + d - 4. Let l(u) = i(u) - 2*p(u). Differentiate l(k) with respect to k.\nAnswer: 9932*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494*i - 6560 = 166*i for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32981, 131901, 296781, 527633, 824469?\n\"Answer: 2*b**3 + 32968*b**2 + 2*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 680, 678, 676, 674?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Suppose -i*c + 10 = 2*l, 1 = 5*c + 4*l - 22. Let h = 41 - 27. Solve h = x - 5*n, 0*n - c*n = x + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30\/11 in 1\/6, -3, 5, -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yylyyyyyylylyy. Give prob of picking 4 y.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f**21\/f))**3\/(f*f**4)**(-1\/15) assuming f is positive.\nAnswer: f**(-188\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**8\/84 - 2*a**7\/35 - a**6\/6 + a**5\/5 + 2*a**4\/3 - 4*a**2 + 12*a. Factor t(n).\nAnswer: 4*n*(n - 4)*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -10. Suppose -f + 4 = -t, 3*t + f = -m*f - 4. Sort -4, t, -5 in decreasing order.\nAnswer: t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26600 - 70037798\/2633. Let t = s - 65833\/10532. Find the common denominator of t and 13\/126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -2\/7, 4747?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/26)\/((-6)\/24)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**5 + 4*z**3 - 4*z. Let k(f) = -2*f**5 - 2*f - 3*f + 7*f**3 + f**5 - 4*f. Let g(w) = 4*k(w) - 7*p(w). Find the second derivative of g(j) wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j + 21. Let f = j + 2. Put 3, -4, f in ascending order.\nAnswer: f, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.16255721\nAnswer: 0.16255721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (215 + 135 - 54)*(3 - 4 + 4)*(0*u + 0*u + 2*u) to the form b*u + d and give b.\nAnswer: 1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**4 + 38*v**3 + 154*v**2.\nAnswer: 24*v + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k + 9*k + 7*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7857*d + 5994. Let p be l(-5). Let s be (-2)\/2 + 8 + 0. Let f be -4 + 2 + (p - s). What is f rounded to the nearest 1000?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197041.\nAnswer: 1197041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471608 divided by 4.\nAnswer: 117902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42*z**4 - 37*z**4 - 7 + 3 wrt z?\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 332024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-624)\/(-30)*((-3975)\/90)\/53*2*3?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115896 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 9*w**2 + w - 5. What is the remainder when 9 is divided by d(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887696 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-564*k + 2 + 564*k - 6*k**2)*(-9 + 1463*k - 1468*k - 33) to a + t*k**2 + i*k + u*k**3 and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 218963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 483 - 83. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.241954 * -0.3.\nAnswer: 7.2725862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 16*d**2 - 2. Let v(h) = 2*h. What is l(v(c))?\nAnswer: 64*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24550, 98119, 220706, 392311, 612934, 882575?\nAnswer: 1201234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 446, 663, 878, 1091, 1302?\nAnswer: 1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3 + 4266*v**2 - 42510*v + 106150 = 0. What is v?\nAnswer: 5, 2123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 39) + 102597\/3109?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(-2\/21)\/i))\/i*i)\/i*i\/i**14*(i\/((i*i*i**2\/i)\/i)*i*i)**1)**(-22\/9) assuming i is positive.\nAnswer: i**(5500\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 18*d**2 - 23*d + 16. Let x(k) = -4*k - 110. Let a be x(-23). List the prime factors of g(a).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 35, 0.4, -3\/4, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -359809\/63 + 5711. Find the common denominator of l and 50\/77.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 256\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25293393791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v - 10. Let p(m) = -4*m + 10. Let b(t) = -6*p(t) - 5*r(t). Let f(s) = -s. Calculate b(f(q)).\nAnswer: -4*q - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-3)))\/((z*z**1)\/z)*(z**(-1))**(-20))\/(z**(3\/4)*z**(-6)*z*(z*z*z**(-1)\/z)\/(z\/(z**5\/z))) assuming z is positive.\nAnswer: z**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4169 - -7577. Suppose -4*t = -4*y + k, -3*t - 3406 = -3*y - y. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 189 - 180. Suppose 5*b - 1062 = -d, 4*d - a*b = -13*b + 4312. What are the prime factors of d?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23467 - -31638. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)\/sqrt(32))\/(sqrt(162)*-1).\nAnswer: -sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128065, 128072, 128085, 128104, 128129, 128160, 128197?\nAnswer: 128240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 41*g**2 + 5745*g + 250605. Determine q(-43).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9*z**3 - 17*z**2 - 311*z. Let f(s) = -3*s**3 + 6*s**2 + 101*s. What is -17*f(d) - 6*k(d)?\nAnswer: -3*d**3 + 149*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + sqrt(88)*-2)*1)\/sqrt(4)*-4)\/((sqrt(128)\/(sqrt(16)\/sqrt(2)))\/(sqrt(128) + sqrt(128) + -2*sqrt(128) + sqrt(128) + sqrt(128))) + 3.\nAnswer: 3 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**3 - 1. Let j(b) = b**3 + 2*b**2 + b + 17. Let k be j(-3). Suppose 3*a - 4*s = -10, a - 3*s + 5 = -5. Suppose 3*v + k = a. Determine h(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 29 + -15 + -10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -9103536.\nAnswer: 3641414.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170216\/37 + -4601. Let y = d + 485\/333. Which is bigger: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - 39*w**2 - 5 - 5*w + 42*w**2 to the form k*w + z + i*w**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 2\/117, -1\/5, -1\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**3 + 111*o**2 + 18*o - 114. Let g be j(-22). Let k(h) = 4*h**2 + 102*h - 57. Give k(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-53)\/(-11) + (-2)\/(-11). Suppose -2*p - n*j = -92, j + 140 = 2*p + 2*p. Suppose d - k = -2*d + p, -23 = -d + 4*k. Solve -2*m + d = 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -3*f - 4*k, 0*f - 5*f - 4*k - 139 = 0. Let i = f - -82. What is the greatest common divisor of i and 459?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/2375 and ((-272156)\/63000)\/(-19) - 21\/((-756)\/(-8)).\nAnswer: 33250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/31))\/(u\/((u**(-32)\/u*u)\/u)) assuming u is positive.\nAnswer: u**(-1022\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**2\/3 - 2528788*c\/3 - 39616206 = 0.\nAnswer: -1264347, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -101, -154, -205, -254?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -5*g - 8. Is 27 a factor of (-2)\/g - 1540\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 968398179 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 r when four letters picked without replacement from ourrooos?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 + 3*y**2 - 4711*y - 11*y**2 - 12 + 2*y**2 + 14.\nAnswer: -y**2 - 4711*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 15 - 13*p + 7*p + 8*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4816 + 5548. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2. Let q(l) = 21442760*l. Give q(d(g)).\nAnswer: 21442760*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9896932853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1356\/4351 or -11\/2?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/7 - 16\/56. Let r be 1 + (6 - (-4)\/i). Solve -r*h = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 276097\/546 - 1517\/3. Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/5)\/(15\/(-9525)). Let y = 4199\/11 + u. Factor 32\/11*t + 10\/11*t**2 + y - 50\/11*t**3.\nAnswer: -2*(t - 1)*(5*t + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1125)\/(-440) + 10\/(-55) + -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28800 and 152064.\nAnswer: 3801600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 10:53 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 + -0.01. Are w and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3 + 14 + 5*d - 17. Let g(h) = 15*h. Give g(z(u)).\nAnswer: 75*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*x = -4*p + 36, 4*x = -2*p + 18. Let i = 239 - 140. What is the highest common divisor of i and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*u)*(-155 + 155 - 12*u) - 21*u**2 - 27*u**2 + 51*u**2.\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 40*m = -288. Solve -14*a + 5*t - 5 = -m*a, 0 = 3*t - 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35925.\nAnswer: 3, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 36.24. Let i = 0.76062 - j. Round i to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003053309 to 7 decimal places.\nAnswer: 0.0003053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001563 to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 11, r: 4, q: 1}. Give prob of sequence qr.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18346?\nAnswer: 2, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17576 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3797609 and 2765.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a + 60302 = -17*a + 59842 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 62 = -c + 3*f, 0 = 4*c - 2*f + 204. Let d = c - -94. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005341 to six dps.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.6 - 1.671. Let j = -0.021 - m. What is j rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1031\/3 + 326. Suppose -g = 5*u + 32, 2*g + 0*u - 2*u + 28 = 0. Let v = g - a. Is v bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49160340.\nAnswer: 2, 3, 5, 273113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 26*v**3 - 1338*v**2 - 10332*v - 20332. Let b(z) = -11*z**3 + 535*z**2 + 4133*z + 8133. Let h(w) = -12*b(w) - 5*o(w). Factor h(p).\nAnswer: 2*(p + 4)**2*(p + 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463943219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 8. Let p be u(-6). Let n = 7 + p. Solve n*r + 1 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2031 = 37*q + 2270 - 3709 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - 3*x + 3*x)*(7*x - 9 + 9) - 342 + 342 + 43*x**2 + (0*x - 4*x + 3*x)*(0*x - x - x) in the form j + l*x**2 + c*x and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 6 = 3*f, 6*o = 4*f + 3*o - 8. Let x be (4\/(-2) - (-1 - f)) + 2. Calculate the greatest common factor of x and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75\/268 + -2\/67. What is the nearest to d in -1\/2, 0, -0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -386, -1605, -3636, -6479?\nAnswer: -10134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44855 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 - (1 - 1) - (-11275 + 158).\nAnswer: 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccxx when four letters picked without replacement from {c: 6, x: 6}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9*y = 15. Let u(x) be the third derivative of 1\/12*x**4 + 0*x + 0 + 0*x**y + 4*x**2. Let p(l) = 3*l**2. Calculate p(u(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from itidndnontin.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = l + 4*s - 10, 0 = l + 5*s - 20. Let u = -0.34 + 0.36. Let t = 950 + -2848\/3. Which is the nearest to 0.1? (a) l (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 6?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/15 - (-1143)\/5. Suppose -486 = -5*m + w. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 1. Suppose 14 + 6 = 4*i, 5*i - 20 = -5*m. Let n(v) = 2*v**2 - 6*v - 7. Let w(j) = m*n(j) + 6*l(j). Give w(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 10*u**2 - 15*u - 38. Let m be t(-11). Calculate the remainder when (m\/10)\/((-1)\/(-15)) is divided by (-24)\/(-4) + (2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-6188)\/910)\/(8\/5)\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*h = 52, -3*h + 92 = 3*z + h. Let g = z + -23. Does 18 divide 232\/g + 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**2 + 8*w + 3. Let g be j(3). Let k(c) = -10*c. Let q be k(g). Solve -2*o + 3*v + 15 = -q*o, 4*o + v = 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z*z**4*z)\/z*z*z\/z**(-5\/3))**(-2\/11))**(9\/4) assuming z is positive.\nAnswer: z**(-48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-12) - (-1 - 728\/24). Solve -2*n - 38 + v = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.032 from 175.\nAnswer: 175.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10314.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 - -2 - ((-129 - -73) + 34).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.2 (c) -1\/4 (d) 1\/40 (e) -13208\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 43*q + 285 = -15*q - 14*q, -41 = b - 2*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/((-18)\/(-4)). Let l = 14 + -17.2. Let c = 0.8 - l. Sort 3\/2, x, c in descending order.\nAnswer: c, 3\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21442 - 43879 + 22437 - 71*z.\nAnswer: -71*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2210*r**3 + 2*r**2 - 214*r + 2?\nAnswer: -13260*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 bigger than 732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 14.1. Let q = m - 2. Let t = 1 + -5. What is the nearest to q in -1, t, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 960 + -642. Suppose 8*p = -102 + h. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 9*y**5\/80 + y**4\/24 - 3*y**3\/8 - y**2\/4 + 4*y + 2. Let u(v) be the first derivative of n(v). What is m in u(m) = 0?\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -19. Suppose 5*k - q = -3*h + 12, -h + 2*k - 3 = 0. Calculate the remainder when 9 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 7:39 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/5*(-5)\/(-2). Let c(j) be the second derivative of j**3\/6 + 2*j. What is c(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2403 divided by -6?\nAnswer: 801\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8813 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtbk when four letters picked without replacement from {t: 1, b: 3, d: 5, k: 1, p: 4}?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 5*w - 5*h + 11, -27 = 3*w - 4*h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2239 = -2219. Let h(k) be the third derivative of 27333*k**4\/8 - 10*k**3\/3 - 2*k**2. Let g be h(r). Round g to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -72*b + 118*b + 90*b + 24 - 7. Let y be f(5). What is the tens digit of 1\/3 + y\/51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfffjpzzpzjpfzpkz. What is prob of picking 1 p, 1 f, and 1 j?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4342487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1924510?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -11*j - 0*j - 18. Calculate the remainder when -1 + 2 + -4 - -50 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, f: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1210010101 (base 3) to base 16\nAnswer: 890b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 619105727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/(-90) - 225\/375. Suppose 2*z + 16 = -4*u - 4, -5*u + z - 11 = 0. Which is the nearest to -3\/2? (a) 3\/5 (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 1416 = -1089912*j + 1089793*j, 4*j + 2*q + 42 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 125050397625068 and 0.2.\nAnswer: 125050397625068.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + 18*a**2 - 14*a - 30. What are the prime factors of u(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 10*q**2 + 3*q - 5. Let p(i) = 15*i**2 + 6*i - 7. Let v(x) = -5*p(x) + 7*s(x). Let r(l) = -6*l. Determine r(v(t)).\nAnswer: 30*t**2 + 54*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -11. Suppose 0 = -w*v - c - 55, 5*v + 36 = 3*c - 79. Let y = v - -59. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24920 by 140.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -528, -539, -556, -585, -632, -703, -804, -941?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 27. Let b be (1\/z)\/((-2)\/(-40)). Let t = 94 + b. What is the highest common factor of 21 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n. Let d be b(2). Solve -2*z - 4 = d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (3 + -3)\/(-4 + 2). Let y = -43\/12 + 23\/6. Which is the nearest to 0? (a) g (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.01403 rounded to three dps?\nAnswer: 2.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 11*f - 2. Let r(w) be the second derivative of w**6\/120 - w**5\/120 - w**4\/3 - 12*w. Let c(v) be the third derivative of r(v). Give -7*c(s) + 4*z(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13259\/(-4) + 1 + (-20)\/16. What are the prime factors of (((-36)\/30)\/(-2))\/((-3)\/s)?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 3 = 5*s. Let a(r) = -33*r**3 - 25*r - 5. Let v(i) = 17*i**3 + 12*i + 3. Let o(q) = s*v(q) + 3*a(q). What is the second derivative of o(h) wrt h?\nAnswer: -84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18658 and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71664269?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 26*q**2 + 701*q + 7. Let s be n(-27). Solve 9*j - 7*j = -s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 11\/13698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -44. Let k = m - 11. Suppose 0 = -4*r - 4*f + 96, r - f - 56 = -k*r. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3057926*f + 2.\nAnswer: 3057926*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 - (-1 + 4)) + 314 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**16\/s*s)\/(s**(7\/4)\/s))\/((s\/(s*s**(1\/33)))\/(s*s\/(s**12\/s*s))))**(-38) assuming s is positive.\nAnswer: s**(-13243\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*n**3 + n**4 + 53*n - 160*n**2 + 160*n**2 + 3*n + 64*n in the form g*n + v*n**3 + m*n**4 + s + t*n**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -55920237*w. Let j(p) = -p. Determine f(j(s)).\nAnswer: 55920237*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43234, -86486, -129738, -172990?\nAnswer: -216242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 3*a - 1. Let m(q) = q + 6. Let x(j) = -j - 5. Let v(p) = -5*m(p) - 6*x(p). Let u be 2\/(-4)*(-4)\/(-2). Determine u*s(b) + 3*v(b).\nAnswer: b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*s + 6, -3*s - 5*h = -4*h - 9. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (6 - (15 + (-7 - -4)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8415 and 414?\nAnswer: 387090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgkgkgrrgg. Give prob of picking 1 g and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2220 (base 3) to base 14\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.41 and -0.04?\nAnswer: 0.0564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12066524 - -17034254. Suppose -h - 972274 = -o, -3*h - 1560462 = -2*o + 384090. Suppose -d = -2*f + o. Round f to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9\/23987?\nAnswer: 9\/23987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + d - 10. Suppose 1 = -5*h + 11. Let c(q) = 7 + h - q - 4. Let l be c(5). Determine y(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*x**3 - 220*x**2 + 33115*x?\nAnswer: 282*x - 440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/4, -89, -133.\nAnswer: -133, -89, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 3*x**2 + 11 - 55*x + 299*x**3 + x**2.\nAnswer: 299*x**3 - x**2 - 55*x + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**8\/1680 - n**7\/210 + n**6\/90 - 16*n**3\/3 - 28. Let q(u) be the third derivative of w(u). Factor q(v).\nAnswer: v**2*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 2 - -2 - 1. Let l(k) = p + 3*k**2 - 9*k + 2 - 1 - 2*k**2. Let a be l(9). Solve 31 = -0*v + 4*v - 3*w, -23 = -a*v + 3*w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*v + 2*v. What is the units digit of 108\/(-8)*v\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123818315 + 123818313.63999939. Let w = k - -1.36. Round w to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34760861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3)*m**(-3\/11)*m*m*((m\/m**3)\/m*m*m)\/m*m*m**(2\/5)*(m**(1\/11)\/m**(-2\/3))**(-1\/54) assuming m is positive.\nAnswer: m**(-16811\/8910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-28)*(-2)\/(-6).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.79960902 to three decimal places.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9265412 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 + 139. What is the remainder when 66 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.2, -0.3, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2.77, 202?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30508.824 and -1.\nAnswer: -30508.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/8 and (24\/276)\/((-8)\/159) + 1.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*t = 0. Suppose t = 3*k + 4*k - 70. Suppose -k*m + 6*m = -5720. Round m to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, 0.58, -2, 2\/7, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (153\/(-36) + (4 - 0))\/((-418)\/13224) + -8.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*r - 79 = 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -571100725 by 5.\nAnswer: -114220145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 14 = -0*v - 3*r, 0 = 4*v + 4*r - 28. Suppose 4*l = -3*h + 53, 2*h = -h + v*l + 89. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 5*j**2 + 12. Let a be o(5). Let f be 6\/4*a\/9. What is the second derivative of 0 - 5*b + 7*b**f + 0 - 9*b**2 wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 47\/5 (b) 1\/130530 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 = -4*f + 1309. Let n = f - 298. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (510\/4*29\/435)\/(1\/(-2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -41217*b - 206098. Calculate q(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 5*l**3\/3 - 14*l + 24. Find the first derivative of d(h) wrt h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 485394 and 8382?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33934891 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 223b02 (base 13) to base 12\nAnswer: 32b828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shhvhsshohohoa. Give prob of sequence vo.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 726*n - 35*n**2 - 1513*n - 273*n**3 + 35 + 752*n. Let v(q) = 16*q**3 + 2*q**2 + 2*q - 2. What is 2*o(l) + 35*v(l)?\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 5*q = -x + 305, 3*q - 240 = 4*x. Let v = -60 - x. Is (v\/(-6))\/((-2)\/(-18292)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5. Let m be 2\/(n + (-4)\/70). Let o be m\/(-15) - 4\/(-6). Sort -2, 1, o.\nAnswer: -2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9331 is divided by 300?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1610*h**2 + 495881*h + 301. Give l(-308).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -278 - -724. Let v = x - 450. Which is the third biggest value? (a) v (b) 5 (c) -0.01 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.22 and 0.697.\nAnswer: 1.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwawxww. Give prob of sequence wx.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 32*a**2 - 99*a - 612. Calculate the least common multiple of n(-6) and 216.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*c - 3*o, 12 + 1 = -2*c - 3*o. Let r(d) = 2*d**2 - 6*d - 3. Let l(g) = -51*g - 1. Calculate the remainder when l(-1) is divided by r(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.8 (b) 2\/3 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1103 and 253876407.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114012232 (base 5) to base 2.\nAnswer: -10000001111011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4887881506 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 5) in base 9?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = 0, 0 = 2*a - 5*z + 11. Suppose 0 = -a*r - w - w + 32, -w + 67 = 4*r. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 58 = 6*u, 5029*k - 5036*k + 258 = -5*u for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/11 + 155626*m**3\/11 - 14148*m**2.\nAnswer: 2*m**2*(m - 1)*(m + 77814)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*w - 21 = 0, 5*t - 16*w + 18*w = -49. What is the units digit of (-240)\/t*(3 - (-96)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - s**2 - s + 3. Let y(k) = 2*k**3 + 4*k**2 + 2*k - 9. Let i(x) = -2*y(x) - 7*z(x). What is the units digit of i(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/5)\/a)\/a)\/(a**(1\/3)\/a))**(-22\/7)*((a*a**(-1)*a)**(-16))**(-3\/13) assuming a is positive.\nAnswer: a**(1292\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 134 = 3*v + 4*g, 186 = -4*v + 2*g. Let d = 53 + v. Let j = d + -11. Let y(z) = -z. Let a(q) = -6*q - 1. What is j*y(w) + a(w)?\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Let b = v - -0.2. Let f = -1.02 - 2.98. What is the nearest to b in f, 3\/5, 2\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40\/21 - -18\/7. Let d(u) = 9*u. Let q be d(0). Which is the closest to q? (a) 3 (b) -1\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) -185 (c) -61 (d) 5 (e) 204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from ttw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 151899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 - 5. Let k(u) = 12*u**2 + 14. Let n(v) = 3*k(v) + 10*m(v). Find the first derivative of n(r) wrt r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-319)\/44)\/29*-44.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 3*o + o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 488, 4, 5, 0, -3, 10 in descending order.\nAnswer: 488, 10, 5, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6558117*r + 19674366. What is f(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13caa6 (base 13) to base 4\nAnswer: 1312130232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3)*p)\/p)**(-34)\/(p\/(p\/(p*p**(-4))*p)*p*p*p*p\/p**3*p*p)*(p**(-2))**(-3\/2)\/(p*p**(2\/5))**17 assuming p is positive.\nAnswer: p**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 6:58 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000206 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (20 + -18) - 22\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - h + 2 - 9 = 0, r - 4*h - 10 = 0. What is the common denominator of 3 - (3 - r\/8) and -103\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*p + 4551 = -o, 3*p - 15 = 0. Let h be o\/154 - 2\/(-11). Solve 5*u = h + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46035076?\nAnswer: 2, 11508769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -15*y + 741. Give r(26).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25349761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 16*n - 3. Let t(f) = f**2 + 17*f - 3. Let z(x) = -4*b(x) + 3*t(x). Let l be z(-14). Let s(o) = -12*o - 30. What are the prime factors of s(l)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000392 rounded to six decimal places?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c - 27. Let q be s(-14). Is q less than 37\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1335*p**2 + 665*p**2 + 667*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84131*n + 60 = -84146*n, 0 = 9*y - 4*n + 38 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*h + 40, a + h - 6 = -0. Let f be -4*((-4)\/a + (-77)\/220). Suppose -4*y = -0*y + 4*k - 636, -k + 471 = f*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 7*l)*(-3 + 3 - 2*l) + 2*l**2 + l - 7 - l**2 + 13.\nAnswer: -11*l**2 + l + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 3. Let s = l + 32. Calculate the highest common divisor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.800207888 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 13*t + 5. Let v(c) = c**2 + 16*c + 6. Let p(u) = 5*q(u) - 4*v(u). Let z(n) = 2*n. What is 2*p(g) - z(g)?\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -3)\/(-2 + 6 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 8:13 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59032 and 3384?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 261138*f*r**2 - 491407*f*r - f wrt r?\nAnswer: 522276*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**5 + 2340*r**4 + 18924*r**3 + 30812*r**2 + 14232*r = 0. Calculate r.\nAnswer: -6, -1, 0, 593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269878086.\nAnswer: 2, 3, 389, 38543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -1250?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -265, -391, -182, -15 in decreasing order.\nAnswer: -15, -182, -265, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzv when three letters picked without replacement from wvzvvzt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*z**4 - 7357168*z**3 + 11505*z**2 - z + 1100 wrt z?\nAnswer: -816*z - 44143008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlmhmmlll. What is prob of picking 1 h and 1 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 3)*(-2*l**3 - l**3 + l**3) + l**3 + l**3 - 3*l**3 + (-3 + 3 - 3)*(-334*l**3 + 144*l**2 - 144*l**2).\nAnswer: 995*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(13) + sqrt(13) + 3 + sqrt(13) + 4 + -2 + (-1 + sqrt(832) - (sqrt(52) + 1)))**2.\nAnswer: -24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03999975 + 0.04. Round o to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 15 + 15 = 0. Solve -c - 3 = -v*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -p - 3*p - 5*s, 0 = 4*p + 4*s + 36 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1145)\/(-165) - 7 - (-6950)\/330\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1488.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**3 - 11*h + 11*h.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h**(-6)*h**(-3))\/(h**(-1\/2))**31 assuming h is positive.\nAnswer: h**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - 16\/168*21. Let h(v) be the third derivative of -4\/15*v**3 + 0 + 1\/150*v**j + 0*v + 24*v**2 + 0*v**4. Factor h(w).\nAnswer: 2*(w - 2)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 214*j**2 - 104*j - 22111. What is q(-214)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i + 29*i**2 + 2*i**2 + 12*i - 9*i**2 + 2. Let r(t) = -t + 1. Let n be r(2). Let d be s(n). What is the greatest common divisor of d and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536172 (base 14) to base 8.\nAnswer: 12606010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075948291 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 4:49 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/12)\/((-1)\/6). Let g be (u + 0)*(-24)\/(-18). What is the second derivative of -c + g*c - 2*c**5 - 5*c wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25521487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 2*y - 2 - y**3 + 2*y + 3*y**2. Let n be t(3). Suppose 0 = -6*z + z, 0 = -c - z + 2. Is n less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(-4*v - 4 + 4 + (14*v + 10*v - 6*v)*(2 + 0 - 4) - 4*v + 4*v - 2*v)*(1 + 1 - 7).\nAnswer: -420*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.75 and 218.\nAnswer: 225.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, 0, -17\/10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 6 - 4 + (4 + 3 - 4)*(2 + 1 - 5))*(-13*l**5 - l**3 + 120*l**2 - 120*l**2).\nAnswer: -39*l**5 - 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 4. Suppose 3*z = u - 3*u - 4, -z + 2 = 0. Let i(w) = -w + 1. What is u*i(b) - n(b)?\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o = 0. Solve o = -5*j + j + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, s: 1, x: 1}. Give prob of sequence bxs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 12*j. Let g be z(-1). Let s = -7 - g. Suppose s*k = -4*p + 17, -5*k = -6 + 1. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 19612 = -23*u, -5*u + 2289 = 3*k - 1955. Calculate the remainder when u is divided by 136.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, 100, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/37))**21 assuming m is positive.\nAnswer: m**(42\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -850415 equal to -850414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k**3 - 38*k**3 - 35*k**3 - 1)*(0*k + 0*k - 2*k).\nAnswer: 124*k**4 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38913, -79940, -120969, -162000, -203033, -244068?\n\"Answer: -f**2 - 41024*f + 2112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2 + 1, -4*u + 3*t = 3. Suppose 5*k = -20, u*k + 16 = 4*p - 2*k. What is the units digit of 1\/p - (-6)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 25 = -5*q, -x + 2*q + 2*q = 20. Suppose x*f - f = k - 20, -3*k + 3*f + 54 = 0. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2. Let b(t) = 3*t**2 - 5. Let m(a) = 3*a**2 - 4. Let u(x) = -4*b(x) + 5*m(x). What is l(u(p))?\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10290?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 715206, 715233, 715278, 715341, 715422, 715521?\n\"Answer: 9*a**2 + 715197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1 - 1 - ((-13 - -8) + 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10\/7 (b) 14 (c) 4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -931 - -929. What is the smallest value in 0, v, 0.4, -2\/53?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6985, -7011, -7037, -7063?\n\"Answer: -26*i - 6959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 25, -5, 5 in increasing order.\nAnswer: -5, 0, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 335851387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 801745.4 millimeters?\nAnswer: 80174.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22488731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1804, -3605, -5406, -7207?\n\"Answer: -1801*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4603 - -4603 - (48 + -2 + -1 - 3)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fieveehevvefevf. What is prob of sequence vf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*i - 78*i - 240 = 24 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-2)\/(-4) + 0. Let t be (-2 - -1)\/((-16)\/(-64)). Is 8 a factor of 4\/q + (t - -24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**34\/(t*t\/((t\/((t\/(t\/t**2))\/t*t*t))\/t)*t*t*t\/(((t\/((t\/(t\/t**3))\/t)*t)\/t*t)\/t)))**(-1\/30) assuming t is positive.\nAnswer: t**(43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 407, 809, 1341, 2003?\nAnswer: 2795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 8. Let s(j) = 4*j**2 - 3*j - 3. Does 13 divide s(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1918\/411)\/((-3)\/(-18)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(1\/9)*c**(4\/9))\/(c*c*c\/(c\/(c\/(c\/((c*c**(2\/29))\/c*c)))))**(2\/17) assuming c is positive.\nAnswer: c**(9737\/4437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15799.\nAnswer: 7, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/10)\/(5\/75). Suppose -v + b = v. Is 9 a factor of v - 6 - (-16 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c*c*c*(((c\/(c\/c**(1\/21))*c)\/c)\/c)\/c*c)))**(-17\/6)\/(c\/(c\/(c*c**(2\/9))))**(29\/2) assuming c is positive.\nAnswer: c**(-369\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1422 - 1407. Solve -5*l = 5 - x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 5. Let g be (18\/(-7))\/((6 - 4)\/(-14)). Let v be 12\/54 - (3 - 140\/g). Let b(h) = -2. What is v*b(j) + 2*m(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5128 (b) 2\/17 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*g = -74, -4*g + 112 = -w + 5*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = 13*m + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 236373.4191966 and -6?\nAnswer: 236379.4191966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 379829 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1040 = y + 58*y + 71*y. Let k be (-1)\/(-3)*(-585)\/21. Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -323\/10, -4, 3\/8, -2.\nAnswer: -323\/10, -4, -2, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -994.2 and -1707397.\nAnswer: -1708391.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 673*v**3 - 121865553*v**2 + 121865553*v**2.\nAnswer: 673*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**3 + j**3 + 11*j**3 - 14*j**3.\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, s: 1, m: 3, l: 1, b: 1, g: 2}. What is prob of picking 1 l, 1 m, 1 s, and 1 b?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6412*p + 2484340 = 13623*p for p.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2 = t, 4*o - 2*t - 6 = t. Suppose o = -q + 1 + 3. Which is the third biggest value? (a) q (b) 1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 823503, 823343, 823167, 822969, 822743?\nAnswer: 822483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2919 smaller than -2923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 60107.91 weeks?\nAnswer: 605887732.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -376 - -404. Suppose 0 = -0*c - 5*c + 20. Let d be (-42)\/(c\/(-72)*3). Calculate the greatest common divisor of d and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, -1, 1, -7 in increasing order.\nAnswer: -7, -2, -1, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -89*n**2 - 10564*n + 21129. Give u(2).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1009.7 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22770 divided by 5\nAnswer: -4554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146\/9 - -16. Let z = 8.08 + -7.58. What is the closest to 1\/4 in z, -1, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -7)*7*-1. Suppose -p + 3*p = o + 6, -p - q = -3*o. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w + 1155 = 35*w + 3*s, 0 = -4*w + 5*s - 937. Let j(p) = -9*p**2 - 3. Let g be j(5). Is w greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 72, 58, 48, 48, 64, 102, 168?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0)\/(3 - 5). Suppose 4*m - 7*m + 48 = y. Let v = 51 + -22. What is the remainder when v is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**3 - 1\/3 - 16\/3*c**4 - 2*c - 1\/3*c**2.\nAnswer: -(c - 1)**2*(4*c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -17*o + 199. Let s be x(12). Let l = 2.3 + -0.3. Which is the second biggest value? (a) 1\/3 (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y - 4 + 5 - 2*y. Let g be j(6). Suppose s - 16 = g. Calculate the remainder when s is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -890662 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + (3 + 28 - 33).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.2. Let h = 32 - 193\/6. What is the closest to -1 in r, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310478904 divided by -406386.\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 0, 0.28, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - -33) + -96 + 54?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 v when four letters picked without replacement from {f: 3, h: 1, k: 2, i: 3, v: 3, j: 2}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 x, and 1 f when four letters picked without replacement from qqxfq.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 1:54 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 4, o: 15}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.4746 + -240.5854. Let h = c - -241. Let d = h + 2. Round d to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/22587 and 38.\nAnswer: 22587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 7*v = d + 59, 60*d + 70*d = 127*d + v - 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*q = 0. Let a(v) = -v**3 + 40*v**2 + 177*v - 42. Let y be a(44). Solve q = y*m - 3*f, 3*m + 4*f = 2*f - 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:52 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6851177, 13702350, 20553523?\nAnswer: 27404696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*j + 104 = 0, 2*j + 117 = -4*a + 577. Let i = -39 + a. Does 24 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l + 42. Determine g(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 656220188 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 729\/36 + 2\/(-8). Suppose 5*w - a = -5*w. Suppose 368 = 2*u + 4*b, 2*b + 3*b - 368 = -w*u. Calculate the highest common factor of u and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*m + 173, -3*m = -2*l + 5*l + 495. Let h = 239 + l. Let o = h + -52. Calculate the remainder when 45 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3188 divided by -134?\nAnswer: -1594\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144*d**4 + 5 + 69*d**4 + 76*d**4 - 3*d to o*d**2 + y*d**4 + f*d**3 + m*d + s and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**7\/168 - 4*a**6 + 479*a**5\/80 + 49*a - 1. Factor l(x).\nAnswer: x**3*(x - 479)*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.4 - 9. Let p = 2\/59 - 191\/413. Put p, 0.2, f in increasing order.\nAnswer: p, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58970000 rounded to the nearest 1000000?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 - 1010*d - 37726. What is x(-207)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 81656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q**3 + 39*q**2 - 42*q + 8. Let w(a) = 16*a**3 - 77*a**2 + 84*a - 16. Let g(k) = -7*f(k) - 3*w(k). Factor g(n).\nAnswer: 2*(n - 4)*(n - 1)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129120 is divided by 273?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -l - 20, 5*y - 255 = 5*l - 165 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.05, 1\/5, -1, -2\/9, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 27*k**5\/5 - 2079*k**4\/5 + 51837*k**3\/5 - 412869*k**2\/5 - 1152*k + 9180 = 0.\nAnswer: -1\/3, 1\/3, 17, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 + 432 = 4*j. Suppose 5*r = -12 + j. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 51 = -2*f. Suppose 6*t - i = t + 16, 0 = -2*t - f*i + 3. Let m(v) = v + 7. Let r be m(-5). Which is bigger: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 3\/4, 659, -72\/7, -4, -115, -1\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41.9354751746 + -0.0645248754. Let b = j + 42. Round b to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4\/(b**(1\/4)\/b))\/(b**(1\/2)\/(b\/(b\/(b**4*b*b)))))**38 assuming b is positive.\nAnswer: b**(779\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26299.\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 26\/9, -2\/7863, 1, 3\/7 in increasing order.\nAnswer: -2\/7863, 3\/7, 1, 26\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11981412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302025073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4141103 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 + 4*p**2 - 5*p + 4. Let b be t(2). Let r be (2\/3)\/((-2)\/b). Solve -r*f = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 4\/(-2 + 1). Suppose 61 = y*t - 149. Suppose -3*p + 50 = 2*k, -9*k = -4*p - 4*k + t. What is the least common multiple of 4 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -96.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*n + 24*n - 624 - 27 + 22*n - 55*n in the form j + i*n and give j.\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 740506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.3, -179841?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 f when four letters picked without replacement from {a: 4, e: 10, f: 6}?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 - 2*r**5 + r**5 + (3*r + 4*r - 5*r)*(-r**4 + 4*r**4 - 4*r**4) + ((3 - 3 + 2*r)*(3 + 0 - 2) + 24 + 7*r - 24)*(-9*r**4 + 2*r**3 - 2*r**3).\nAnswer: -84*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2 - m + 1. What is z(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 489\/20?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Let s = 0.386 + -0.209. Let f = 0.167 - s. Which is the biggest value? (a) 5 (b) k (c) -0.4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920564.\nAnswer: 2, 373, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3473 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-58 - -52)) + -51 + 2 + 1 + 0\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j - 7. Let i be r(1). Let z be i\/(-4) + 1\/12*561. Which is bigger: z or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-21 - -5) - -19.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -297590997*o + 994552. Let m(h) = 9575*h - 32. Calculate 4*l(f) + 124319*m(f).\nAnswer: -9563*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 2842400.\nAnswer: 2842400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (0 + 8 + (-17 - -11))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssc when three letters picked without replacement from {c: 5, f: 6, s: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 77\/3. Let y be 2\/(4\/(-6)) - -2. Let h = -2485 - -2483. Which is the second biggest value? (a) w (b) h (c) 17 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1 = -4*x + 3*x, -20 = -4*x. Let u = i - 0. Let c be -1 + 13 + -4 + u. What is the greatest common divisor of c and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8 = -5*x. Find the third derivative of 2*b**3 + 1 - 18*b**2 + 16*b**x - 1 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-63)\/132) + (-32)\/112. Solve -8 = -4*o, -2*l - 5*o + 4 + c = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 12216888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(72) + -4 + -2*sqrt(72)*-2)*-4 + -3.\nAnswer: -120*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c = 7*c + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - y + 2)*(53 - 53 - 15*y**2 - y**2 + 0*y**2 + 2*y**2 + (-y + 3 - 3)*(-2*y + 4*y - 3*y))*(-293*y**2 + 2*y + 292*y**2 - 8 + 3).\nAnswer: -13*y**5 + 26*y**4 - 65*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(68) - (sqrt(34)\/sqrt(2)*2 - sqrt(17))) + -4 + ((sqrt(170)*2)\/sqrt(10))**2.\nAnswer: sqrt(17) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18643 = -22*m + 8351. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4 + 3 - 9 + 5*k.\nAnswer: 5*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*s + s - 5*s)*((s + 0*s - 2*s)*(-2 + 1 + 2) - 8*s + s - 7*s).\nAnswer: -150*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/7 + 47394*d\/7 + 6771.\nAnswer: -3*(d - 15799)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*j**3 + 44*j**3 - 41*j**3.\nAnswer: -107*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, t: 3, b: 4, j: 2, l: 2, u: 2}. What is prob of picking 1 f and 1 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, n: 1, l: 1, y: 5}. What is prob of picking 1 l, 1 n, and 1 j?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 628 + 5. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**6*i)\/(i*i*i\/(i*i**(-18)))*i*i**(-1\/7)\/i*i**4 assuming i is positive.\nAnswer: i**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*g**3*s*y - 3*g**3*s + 2*g**3 + 2*g*s*y + s*y - 2361*y wrt s?\nAnswer: 46*g**3*y - 3*g**3 + 2*g*y + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50201261 to the power of 1\/2, to the nearest integer?\nAnswer: 7085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 75*w + 4. Let c(h) = 75*h + 4. Let z(i) = -4*c(i) + 5*x(i). Let k be z(-4). What is k rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 315, 637, 961, 1287, 1615, 1945?\nAnswer: 2277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8 + -34)*(-2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**6\/40 + u**5\/4 - u**4 + 2*u**3 + 2*u**2 + 2. Let b(a) be the second derivative of w(a). Solve b(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1309 divide 95757277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42204 and -0.2.\nAnswer: -8440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 - 0.7318849.\nAnswer: -0.1318849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 95 = -12*i. Let j(o) = -5*o + 86. Let s = -24 - -70. What is the remainder when j(i) is divided by s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4) + -2 - (2*sqrt(13)*-4)**2.\nAnswer: -834 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**5*h**(-2\/11)*h)\/(((h**(1\/2)*h)\/h)\/(h**(-2)*h)))**(13\/3))**(1\/6) assuming h is positive.\nAnswer: h**(1235\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2249870968 - -0.05136?\nAnswer: -2249870967.94864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 - 5*n**2 + 2*n**2)*(-28*n**2 - 20*n**2 + 168 + 47*n**2).\nAnswer: 8*n**4 - 1344*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9653, 39120, 88231, 156986, 245385?\n\"Answer: 9822*i**2 + i - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + 16. Let g(b) = 10*b**2 - b + 1. Let n be g(1). Suppose -4*m = 4*p - 12, -5*m = 2*p - 11 - n. What is the greatest common divisor of m and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x - 6. Let d be k(-4). Let h be (6\/(-12))\/(1\/d). Which is the nearest to h? (a) 5\/3 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146490?\nAnswer: 2, 3, 5, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6.4 (b) 0 (c) -0.3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v**2 + 7*v**2 + 21*v**2)*(v + 2 - 2)*(-2 - 1 - 4).\nAnswer: -280*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g**2 - 4*g**2 - 2*g**2)*(19325*g - 15 - 31824*g + 15 - 25639*g - 15759*g) in the form u*g**2 + a*g**3 + j*g + m and give a.\nAnswer: 107794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*y = 544, 5*y - 25 = -0*y. Let v = r - 132. Let n(g) = -g**2 + 15*g + 1. Does 3 divide n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1173912*m**5 + 9*m**2 + 8*m + 6884650 wrt m?\nAnswer: -23478240*m**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 732 and 53924?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-235)\/94 + (-1 - (-1896)\/560))\/(4\/10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7929068 and -0.2?\nAnswer: -1585813.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.262988339021 and -0.8.\nAnswer: -1.062988339021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 1)*(-24)\/16. Let w = 0 + v. Let i be (w\/(-9))\/((-3)\/2). Which is the third smallest value? (a) -1\/8 (b) i (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -3199?\nAnswer: 255.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 - -cce?\nAnswer: ce3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462796 and 85913.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**4\/12 - 3*k**3\/2 + k**2\/2 + k. Let g be -1545*((-171)\/54 - 15\/(-6)). Let n = 1022 - g. Give v(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209 + 209.2. Let b = -38 - -29. Which is smaller: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 8:03 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - s - 5. Give t(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*sqrt(1782))\/(1*1*sqrt(11)) + -5.\nAnswer: -8 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1900)*-2*-2 - sqrt(152)\/(sqrt(8) - (sqrt(8) - ((sqrt(648) - sqrt(648)*-1) + sqrt(8)))))**2*-3.\nAnswer: -1728224\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-95)\/57*9\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2975 - -2970. Let b(x) = x. Let p(l) = 3*l + 1. Let q(m) = 7*m + 3. Let n(j) = 5*p(j) - 3*q(j). Calculate i*b(y) - n(y).\nAnswer: y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q**3 + 237*q**2 + 3*q - 5 + 3 - 237*q**2 as p*q**2 + h*q + l + j*q**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1870 and 1360?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2 - 4*d**2 + 5*d - 2 - 5*d**2 - 1 + d**3. Let v be 156\/(-65)*15\/(-4). Let z be g(v). Which is greater: z or 39?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 252\/(-102) + -11 - -14. Put q, -2\/5, 4, 1\/3 in decreasing order.\nAnswer: 4, q, 1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -199673, -201339, -203019, -204719, -206445, -208203?\n\"Answer: -t**3 - t**2 - 1656*t - 198015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 3. Let r(p) = p**2 - 2*p + 5. Let f(y) = y**3 + 20*y**2 - 36*y + 173. Let a be f(-22). Calculate a*r(o) - 5*j(o).\nAnswer: -3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 4*c**2 - c + 7. Let q be k(4). Let z be 1 + (-1 + 5 - q). Let o be 2\/4 + 25\/z. Calculate the greatest common divisor of o and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*b + 288 = 0, -5*y + 5*b = 3*b - 1371. Find the common denominator of 2\/30*y\/4 and 118\/(-28) + 0 + 4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49513 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-18 + 6 - -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -22.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1250119 litres to millilitres.\nAnswer: 125.0119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 5, -3, 8 in decreasing order.\nAnswer: 8, 5, 4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 151 and 668?\nAnswer: 100868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 + 25 - 13*c**2 + (c - 4*c + 4*c)*(2*c + 2*c - 3*c).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.4 + 0.4. Let k = u + 8. Let p = 0.1 + 0. Which is the closest to p? (a) k (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyysyyyyyyyy. Give prob of sequence yys.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 252*h**3*z - 20*h**2*z**2 - h**2*z + 14*h**2 - h*z - 15*z**2 - 138*z - 359 wrt h?\nAnswer: 1512*h*z - 40*z**2 - 2*z + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319676 is divided by 15810?\nAnswer: 7446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330212212 - 121233?\nAnswer: 330030313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01013 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 5. What are the prime factors of 2 + (-8)\/l*1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 2*w**7\/21 + 11*w**6\/90 - w**5\/6 - 11*w**4\/36 - w**3\/9 + 12*w. Find d such that m(d) = 0.\nAnswer: -1, -2\/3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2636 + 2635.99998144. Round c to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4 - 0. Suppose 2*i + n = i. What is the nearest to -3\/2 in i, 2, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -275262383 > -275262383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-193*c**2 - 24*c**4 + 193*c**2)*((-4 + 1 - 1)*(2 + 1 - 6)*(1 - 7 + 1) + 0 - 4 + 5).\nAnswer: 1416*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 1. Give s(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 4.1. Let w = -6 + k. Let h = -0.046 + 0.046. Which is the nearest to h? (a) 0.2 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*t - 620 = 0, 0 = -5*h + 2*t + 3*t - 1520. What is h rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -25537816?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 9:11 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a meter in millimeters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 146?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -284, -970, -2018, -3350, -4888?\n\"Answer: 13*x**3 - 259*x**2 - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 176325?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -68 (b) 2\/5 (c) 2\/11 (d) 3\/4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2 - 4*i**2 + 4*i**3 + 2*i**2. Let c(w) = -w**3 - w**2 - w + 1. Let v(u) = 3*c(u) + m(u). Let f = -8 - -5. Determine v(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8619475 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: What is the fifth biggest value in 134, 0.1, 2\/21, -4, 323, 3, -6?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 14*l + 2. Let b(f) be the third derivative of f**5\/20 + f**2 - 315. Calculate b(m(a)).\nAnswer: 588*a**2 + 168*a + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + 11*i + 7. Let z = -24 + 17. Is y(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 3*t**2 - 2*t**3 + 4*t**3 + 6*t - t**4 - 4*t**3 to the form m*t**2 + k*t**4 + y*t + g + p*t**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4274 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0, -259?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4873 - -2223. What is k rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005292866 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/476 and (23 - 29)\/((-1326)\/(-8)).\nAnswer: 6188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 3*y**6\/40 - 119*y**5\/20 - 61*y**4\/3 - 82*y**3\/3 + 121*y**2. Find r, given that g(r) = 0.\nAnswer: -2\/3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -0.1 (b) 16 (c) -5\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7789\/33 + 704\/3. Let p = 16037 - 32331. Let b = p + 716877\/44. Find the common denominator of g and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 3*t. Let q(o) = -3*o**2 + 10*o - 1. Let x(i) = 6*q(i) + 21*r(i). Find b such that x(b) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-1 - (-57)\/66). Determine r, given that -8\/11*r**3 - 2\/11*r**4 + 8\/11*r + 8\/11 - k*r**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2 = 3. Let t be (0 + o)\/((-2)\/14). Suppose 71 = 4*d + t. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/18373244 and -99\/174545818.\nAnswer: 349091636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12*((-9)\/(-21) - (-60)\/56). Suppose -39*t + 42*t - b = 0. Solve -t*w = -w - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4136 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 14599*g + 1. Let s(x) = 65*x**2. What is k(s(u))?\nAnswer: 948935*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 195075?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -14. Let v = 16.4 + t. Let x = v + -6. What is the nearest to -0.2 in 2, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.056 + -83.056. Which is the fourth biggest value? (a) -1 (b) 2 (c) 0.3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 140ba7 + 934?\nAnswer: 14191b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238 by 14.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - p - 5. What are the prime factors of m(5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2663, 2661, 2659, 2657?\nAnswer: 2655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 227372165 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 40.8. Let m = z - -4.79835. Round m to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156487*w - 156501*w + 28 = 0. Solve -44*b = -45*b + w*y - 10, -4*b - 2*y = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.94 and 21.62.\nAnswer: -85.1828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132810 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*k + 2. Let h = 8 - 18. Let i = h - -10. Put 5, k, i in ascending order.\nAnswer: k, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = 0, -5*d = 3*v - 17 - 18. Factor -14 + k**2 - 6*k - 2*k**2 + 0*k + v.\nAnswer: -(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 - 1319 + 1319.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56109448 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 5:04 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 24*g. Let f be r(-1). Let l = -14 - f. What is the greatest common divisor of l and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -9*v + 9*v - 132. Let a = 8 + 5. Calculate the remainder when v is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6455229825?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8105 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 14 + 2)*(o - 2 + o + 4).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 25*k - 11. Let b(a) = -8*a + 4. Let l(p) = 7*b(p) + 2*x(p). What is the derivative of l(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0738 - -24.0738. What is the third biggest value in -5, b, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-2*r + 2*r - 2*r**5) - r**3 + r**5 - r**3 - 2*r**5.\nAnswer: -5*r**5 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 912.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**6\/120 - f**5\/30 - 3*f**4\/8 + 3*f**3\/2 + 22*f**2. Calculate the remainder when w(6) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76168750 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6 - 71*h - 2*h**2 - 68*h + 137*h. What is a(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - r**3 + (-r**3 - r**3 + 4*r**3)*(-4 - 1 + 3) - 4*r**3 + 0*r**3 + 2*r**3 - 2*r**3 + 4*r**3 + 2*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411 bigger than 1039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -5 (b) 2\/3 (c) -3 (d) 3 (e) -6\/89\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -4 + 14 + (-11 - -5) + -9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000363939256 to seven decimal places.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 5*s**2 - 10*s - 3. Let d(f) = -f**2 + 5*f + 21. Let r be d(7). What is the tens digit of l(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 3*j - 2*j)*(-2*j**2 - 2*j**2 + 5*j**2 + (-5*j**2 - 1 + 1)*(-3 + 1 + 0)).\nAnswer: 22*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-2)\/(-4)*6. Suppose -4*l = i - 25, -2*l + q*l - 3*i = 0. Suppose 4*j = -5*k + 27, -l*k - 2*j = -j - 18. Solve 5*c = 10, k*c + 0 - 21 = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(153))\/(-5*sqrt(36)\/sqrt(4)))**2.\nAnswer: 68\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*k - 9 = 0, 3*k + 2 = 4*k. Let a be (14\/4)\/(c\/2). Let w(g) = g - 2. Give w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - 10*t + 4. Determine n(-3).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 7:48 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 87?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*b = -9440, -3*a = -4*b - 3157 + 10232. Find the common denominator of 2\/3*a\/(-330) and -76\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from {a: 1, t: 1, f: 1, e: 1, u: 1, k: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2 - 34. What is the smallest common multiple of j(5) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6915 - -1.6915. Let z = 40.2 - 47. Let p = z - -0.8. What is the second biggest value in 3, p, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4483769225?\nAnswer: 5, 13, 41, 97, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9499?\nAnswer: 7, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 66*u**2 + 363*u.\nAnswer: 3*u*(u - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-4) - (-47)\/(-4). Let l(j) = -12*j + 36. Is l(d) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26 and 11742994829288?\nAnswer: 11742994829314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 62\/3 of a year?\nAnswer: 248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - 3*x**2 + 242*x - 1388. Determine k(10).\nAnswer: -1268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2630 and 12833085.\nAnswer: 25666170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3\/15 + 4844*g**2\/15 - 4838*g\/15 - 3228\/5 = 0 for g.\nAnswer: -1, 2, 2421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - 4*g = -181, -128*g = 4*x - 132*g + 256 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -27*p**4 - 3*p**3 - 14*p. Let o(j) = j**4 + j**3 - j. Let l(a) = 3*o(a) + v(a). Find the second derivative of l(x) wrt x.\nAnswer: -288*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*g + 96*s - 99*s, g - s - 4 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*12*(-3)\/(-48)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/23))**(-10\/9)\/((p**(-17)\/p*p)\/(p*p**(1\/30))) assuming p is positive.\nAnswer: p**(4181\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from yyygtyyyyyyyyy?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-27))\/(((-16)\/6)\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 1. Let p be (-16)\/(-12)*3 + 5. Let l = 0 + p. Let t = 7 - l. Calculate n(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1117*y - 6. Let s(r) = 2237*r + 11. Calculate -11*c(u) - 6*s(u).\nAnswer: -1135*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 77092.3 rounded to the nearest 100?\nAnswer: 77100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121025 is divided by 1753.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 26. Suppose -g + 8 = -s, -5*s + 11 = 2*g - k. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 145, 151, 161, 175, 193?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 399280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/3)*f*(f**(-2\/5)\/f)\/f*f**(-11)\/f*f**(-20)*f assuming f is positive.\nAnswer: f**(-466\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 21*3688\/80028. Let o = -36796\/20709 + 105\/59. Let g = o - z. Is g < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1257 (base 8) to base 14\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.85 less than -3?\nAnswer: -2.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3587 to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -71f (base 16) in base 14?\nAnswer: -943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 - 43 = -28*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472626333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymsp when four letters picked without replacement from {y: 1, p: 1, m: 1, o: 1, s: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 5, -9\/10, -2\/9, 4\/13, -13, 3?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/14*(-21)\/(-6). Solve a = -g + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**5\/60 - g**4\/24 - g**2. Suppose 4*j - 6 = 7*j. Let o = 1 + j. Let s(b) = b - 1. Calculate o*s(x) - l(x).\nAnswer: -x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12005 - -12005. Which is the nearest to n? (a) 3 (b) 13\/3 (c) 36 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2883?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/11)\/u*u*u\/u**(-5\/2)*u assuming u is positive.\nAnswer: u**(91\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykmjmkukkkkvkyvu. What is prob of picking 1 m, 2 v, and 1 k?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26629354?\nAnswer: 2, 23, 47, 109, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**5\/30 - s**3\/6 - s**2 - 4*s. Let a(l) be the first derivative of b(l). Find the first derivative of a(d) wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131 divided by -373666\nAnswer: 131\/373666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 430135665 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16 + -17)\/((-2)\/534)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14440 + 2112024?\nAnswer: 2132014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**5 + 1400*g**4 + 2820*g**3 + 10*g**2 - 2815*g - 1410 = 0 for g.\nAnswer: -1, 1, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-704)\/(-24))\/(-22)*3\/34.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54223.9999869503 - 54224. What is x rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*n - 8, 5*y + 0*n = 2*n + 11. Let w be 6 - ((-1 - y) + 4). Is 0 + -3 + w + 154 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysrjy. Give prob of picking 1 y and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**2 - 11*b**2 - 208*b + 25*b**2.\nAnswer: 2*b**2 - 208*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 288200\/9 + -32056. Let y be (-175)\/9 - (-2 + -2). Let p = n - y. Find the common denominator of -63\/2 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 2*g - 41. Let f be d(9). Solve 5*m = -y + 18, m = 5*y - 2*m + f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 5:26 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 5:27 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1078 (base 10) in base 6?\nAnswer: -4554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 449459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9743 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**4\/14 + 6*t**3\/7 - 2*t**2 - 48*t\/7 + 146. Factor i(z).\nAnswer: -2*(z - 6)*(z - 4)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3578*k**2*x - 630*k*x - 2*k - 2*x wrt k.\nAnswer: -7156*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 23277 = 3*r, 199*q + r - 69841 = 196*q. Is q a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -20) + -15 - (-8)\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:54 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 + -15)*(-1504)\/8836?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 - 2*i**2 - 5*i + 2. Let t be k(4). Suppose t = 5*w - v - 2*v, 3*w + 4*v - 41 = 0. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*v + 124*v = 297 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k**3 - 49*k*m**2 - 1726*k - 55*m**2 - 37*m - 21 wrt k.\nAnswer: 12*k**2 - 49*m**2 - 1726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*o - 8*o + 9, 2*o = m - 27. Solve r - 5 = 0, r + m - 30 = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/m**11))*m)\/m*m)\/m**4*(m*m*(m\/(m*m**(-6\/11)))\/m*m)\/((m\/(m\/m**(4\/9)))\/m) assuming m is positive.\nAnswer: m**(-980\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-12)*u**(-7\/3))\/(u**19*((u**(1\/13)*u)\/u)\/u) assuming u is positive.\nAnswer: u**(-1264\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a factor of 95990009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (300\/(-66) + 7). Factor 2\/11*w**4 + 6\/11*w**2 + i*w**3 + 0 + 2\/11*w.\nAnswer: 2*w*(w + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -5*j - g, 4*j - 5*g = -g + 80. Calculate the highest common factor of 529 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 303\/(12\/5592*6). Calculate the highest common divisor of 101 and b.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*(sqrt(70) + sqrt(70)*-1 + sqrt(70)) + (2*sqrt(70)*-1 - sqrt(70) - sqrt(70)))\/(2*4*(sqrt(10) + sqrt(10)*1)).\nAnswer: sqrt(7)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3425 = 3*g, 7*g = 2*g - 3*j + 5740. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiii. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166075 divided by 949.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + -10 + 8 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 9*x**2 + 7*x + 11. Is b(-6) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + 803*n**2 - 46*n + 18. Let o(y) = y**3 - 803*y**2 + 46*y - 13. Let i(w) = -4*o(w) - 3*v(w). Find the second derivative of i(r) wrt r.\nAnswer: 12*r + 1606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15993*f - 6780?\nAnswer: 15993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.9 - -11. Let x = 21 + -6. Suppose x*k - 17*k = 0. What is the closest to 2\/3 in n, k, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.03088 centuries in decades?\nAnswer: 470.3088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/169)\/(98\/1911).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -1. Solve -b*p + 3*l + 1 = 11, 5 = -l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 330, 332, 348, 384, 446, 540, 672?\n\"Answer: a**3 + a**2 - 8*a + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -24*p + 3. Determine m(3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28.94 in -1\/4, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0 = 6. Let g(r) = 21*r**2 - 8*r + 7. Let k be g(1). Solve c*q - k = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 21 - 53 - (-1 - 15)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -6. Suppose -r*s = -9*s - 27. Solve -2*p - s = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.3 (b) -297 (c) 1 (d) 0.5 (e) 0.991\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -30. Which is the closest to 0? (a) -1\/5 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3949*v - 306*v**2 - 24*v**2 - 3949*v to the form f*v**2 + x + z*v and give f.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 3*m**2 - 6*m - 6. Let s be j(-4). Suppose 3*c = -5*t - 42, -3*c + 6 - 30 = s*t. Is (9 + -6)\/(t\/(-794)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001589436 rounded to six decimal places?\nAnswer: -0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**4 - 20433*d**3 + 127576*d**2 - 132657*d + 25510 = 0. What is d?\nAnswer: 1\/4, 1, 5, 5102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Let d(q) = q**3 + 82*q**2 + 6*q + 517. Let n be d(-82). Solve x*r + n = 8*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-5)*p*p\/(p**(-7)*p)*(p*p**(3\/7)*p*p)\/(p*p**(2\/11)) assuming p is positive.\nAnswer: p**(481\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-7 - -5) + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -156561 (base 10) in base 6?\nAnswer: -3204453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00117095 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t**3 + t - t)*(-3*t - t + 7*t) + 10*t**4 - 26*t**2 + 26*t**2)*(1 - 2 - 1)*(20 + 24 + 1).\nAnswer: -1440*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/3190 and -85\/2552?\nAnswer: 12760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 152 + -152. Let l(h) be the second derivative of 1\/3*h**4 + 0*h**2 + n*h**3 + 0 - 6*h. Factor l(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 4*n + 20, -2*n - q = 3*q + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 28 = 3*o + 5*h, -2*h + 8 = 0. What is the highest common factor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*p - 130*p - 63 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 342*v**2 - 166*v**2 - 178*v**2 - 24*v as t*v + z*v**2 + b and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**6*a**(-2\/15))\/(a*a\/(a*a**(-3\/10))*a\/a**(1\/17)))**(-6) assuming a is positive.\nAnswer: a**(-1849\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(sqrt(270)\/sqrt(6) - sqrt(45)) - (sqrt(45) - (sqrt(3645) - (sqrt(3645) + -2))))*4 + 0.\nAnswer: -12*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/17232 and 79\/11488?\nAnswer: 34464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -5. Suppose z*b - b = -30. Let a = -7 - b. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.2. Let x(r) = 3*r - 10. Let p be x(3). Let y be 2*-2*p\/(-26). What is the smallest value in -3\/4, h, y?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.112 + -0.112. What is the fourth smallest value in s, -0.4, -1, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -6\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 71, 97, 143, 215, 319, 461?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11772 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54.6 - -54.5997926. Round p to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 100*j**3 - 345*j**2.\nAnswer: 5*j**2*(j - 23)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.153 and 0.4765601.\nAnswer: 0.6295601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -7\/3*r**3 + 24*r + 0*r**2 + 25. Find the first derivative of j(y) wrt y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1396 + 1390 + 27*d**3 + 4*d + 3*d**3 + (2 + 4 - 4)*(0*d + 2*d**3 + 0*d) + 3*d**3 + 2*d**3 - 4*d**3 to r*d + s + b*d**2 + c*d**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/24)\/((-2)\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 68 - 79970*f - 68*f**2 - 25*f**2 + 79969*f as d*f + j + q*f**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 9*f - 77. Find the second derivative of 2*m**4 - 2*m**4 + 18*m + 2*m**5 - f*m wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxaxaxexxexe. What is prob of picking 2 a and 1 e?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 - 15 - 1)*(0 + 3 - 2)*(-3*q - q + q) to the form b + x*q and give x.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*k**4 + 11*k**3 - 12*k**3 - 8 - 14*k**2 - 20*k**4 + 37*k**4 as x*k**2 + d + o*k**4 + c*k + w*k**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14045 - -23561. Suppose 0 = 28*j - 40*j + b. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -21 + (2 - (22 + -8)) - -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, z: 4, l: 3}. Give prob of picking 1 l and 1 q.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*w - 2*o - 7, 4*w - 7 = -5*o. Suppose -3*h - 2*d - 3*d = -61, 5*h = w*d + 45. What is the units digit of 309\/18 + (-2)\/h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 9*w**2 + 17*w - 7. Is t(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 6 - (-105 - (-52 - 47)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 + 100. Suppose 2*a - 4*a + 26 = k. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109983759?\nAnswer: 3, 36661253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 79, 68, 41, -8, -85, -196?\n\"Answer: -k**3 - 2*k**2 + 2*k + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-325))\/(4\/30*-3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 divided by -12.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 6. Suppose -f = -j + 2, 3*f - 1 = 4*d. Suppose d*t - 70 = -2*c, 4*t - 44 = -2*c + 18. What is the remainder when c is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1619139 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46 - 48 + 22*a**2 + a**3 - 20*a**2)*(-130 + 22*a + 254 - 123) to x*a**3 + p*a**2 + j + t*a**4 + i*a and give i.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -12. Let l = i - 18. Let a(c) = -c**3 - 2*c**2 + 5*c - 2. What are the prime factors of a(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3987*h**2 - 4311*h + 112. Let g(b) = -1995*b**2 + 2155*b - 64. Let z(x) = 7*g(x) + 4*y(x). What is the second derivative of z(o) wrt o?\nAnswer: 3966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75604297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 3*q**2 - 7*q + 6. Let b be w(7). Let a = b + 147. Calculate the remainder when 40 is divided by (-33)\/(-77) + a\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 585951186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*t - 126 = 0, 2*t + 210 = -5*o + 3*t. Let m = o - -61. What is the first derivative of -m*w - 7*w - 2*w + w + 8 wrt w?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 7*w - 5. Let l be a(5). Let j(h) = -h**2 - 4788*h - 19125. Let v be j(-4). Solve 0 = -2*m + 3*c + 9, l*m - c - v = -5*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(76) + -3*sqrt(76))\/sqrt(4).\nAnswer: -2*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 218625201 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/1*(-7)\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2653270 + 2653481.9873. Let j = v - -0.0127. Let g = j + -211.999636. Round g to five dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -3*s + 82, 3*j - s = 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - 16*a**2 + 11*a. Let b be (-52)\/13 - 12\/(-1). Let o be w(b). Let f = o - -7. List the prime factors of f.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40963 - 4335*y**2 + 20479 + 30978*y**2 + 20484.\nAnswer: 26643*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1848, 1892, 1972, 2094, 2264, 2488, 2772, 3122?\nAnswer: 3544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*h - 18294 + 1368 = -28*h. Solve 166 - h = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/25*(-25)\/(-2). Let g = 13 - u. Suppose 2*o - 57 + 49 = 0. Solve -g = o*v - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**4\/12 + 5*d**3\/2 - 29*d**2. Let h be l(-6). Which is the closest to -0.1? (a) h (b) 0.4 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*k - 9. Let v(g) = 2*g + 43. Let r be v(16). What is the greatest common divisor of k and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2726, -2727, -2728, -2729, -2730?\nAnswer: -2731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13646421, 1, 0.3 in decreasing order.\nAnswer: 1, 0.3, -13646421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4091049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-1100)\/(-15))*10\/(-12).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 181*k**2 - 73*k + 960. What are the prime factors of j(11)?\nAnswer: 2, 41, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4449 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 11, -4, -5, -19, -12?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**3 - 4 - 2*h + 5*h**3 - 4*h + 5*h in the form b + v*h**3 + n*h**2 + j*h and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.62 rounded to the nearest integer?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 63 = -0*w. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 at least as big as -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b**2 - 3*b + 17. Is f(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4765289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/8455046 or -1?\nAnswer: 9\/8455046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2449*y - 12243. Determine i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*c**3*p**2 + 2*c**2*p**3 - 13*p**3 - p**2 wrt c?\nAnswer: -105*c**2*p**2 + 4*c*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 119.9, -1, 0.3?\nAnswer: 119.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0.7 (c) 24 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -15, 1, 8, 4, -2 in ascending order.\nAnswer: -15, -4, -2, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:47 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/9*(-3)\/(-2). Differentiate -5 + 0 + 4 + z*f wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83.3, 3, -0.04 in increasing order.\nAnswer: -0.04, 3, 83.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28581997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 4:10 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -61859 divided by -3?\nAnswer: 61859\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d - 2 + 2 + 0*d + 4*d - 2*d - 3*d + d + d + (1 + 3 - 5)*(-2*d + 4 - 4) + (4 - 4 + d)*(-1 + 5 - 6).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 2. Suppose -c*f + 4*f = 35. Put f, 5, 4 in ascending order.\nAnswer: f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111761770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111.42 + -97.2. Let i = -0.22 + d. Let m = i + -12. Is m smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*w**3 + 150*w + 750 + 10*w**2 = 0 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -56.9. Let g = 6 + n. Sort g, -5, 0 in descending order.\nAnswer: g, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(320) + sqrt(320) + sqrt(320)*2)*-5 + 4)**2 + -5 + (sqrt(320) - (3*sqrt(320)*1)**2) + -5.\nAnswer: -1272*sqrt(5) + 125128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-6 - (-6 + 3 + -4) - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 8 = 4*d. Let s be 0 - -6 - (-1 + 1). Suppose 148 = -d*l + s*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/(8\/(-8374)). Suppose -103*b = -99*b - 2800. Let m = b + a. What is the common denominator of -87\/8 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + (18 - 8) - (0 + 2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50362.15 centuries in months?\nAnswer: 60434580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*h - 6*h + 50*h + 10*h in the form w + b*h and give b.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j**4 + 9*j**2 - 4*j + 4. Let c(s) = 2*s**2 - 2*s**2 - 20*s - s**2 + 0 - 1 + 21*s. Let w(d) = 4*c(d) + x(d). Factor w(r).\nAnswer: -5*r**2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 196*o**4 + 7138312*o**3 - 21707692*o**2 + 15151952*o - 582768 = 0.\nAnswer: -36423, 2\/49, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 603.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -9*r + 44. Suppose 138 = -r*q - 2*w + 21, -q - 4*w = 27. Are -23 and q nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*d**2 + 294*d**2 - 224*d**2 + 2*d.\nAnswer: 200*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*(h*h\/(h*h**(-1\/2))*h)\/h)\/h)\/h*h)**(-7\/4)*(h**(1\/4)\/h)\/h*h\/h**(-2) assuming h is positive.\nAnswer: h**(-25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (18 - 8) - (1 - 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 30 = -5*u + 35, -5*u + 35 = -2*v. Let m be 4 - (2 + v\/(-5)). Is m >= -2\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*((sqrt(425) - (1 + sqrt(425)))*-2 + -2 + sqrt(425) + -4 - ((sqrt(425) - sqrt(425)*-5)*6 + 3)).\nAnswer: -525*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 201 - 198. Let l(q) = 65*q**2 - 7*q + 19. What is the tens digit of l(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = f - 2*m - 11, 0 = 4*f - 2*m - 14. Suppose -l = -3*l. Sort l, f, -3.\nAnswer: -3, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075466011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(1\/(-1) + 2). Solve -s*n = 2*n + 5*u - 33, 4*n = -2*u + 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-3\/16)\/y))\/(y*y**(-9\/2)))\/(y**(3\/8)\/(y\/(y\/((y*(y*(y*y**(-11)\/y)\/y)\/y*y)\/y)))) assuming y is positive.\nAnswer: y**(-91\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 2112*g + 244*g + 47.\nAnswer: 2356*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -157b0 (base 13) in base 16?\nAnswer: -9fa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 3:13 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -7\/2*u**2 + 17 + 0*u**3 + 0*u + 1\/2*u**4. What is the second derivative of t(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 2*j**2 + 4*j - 8. Let x be (-8)\/(-5) + 52\/130. Let d be i(x). Solve d = -2*b + 2*f - 14, -3*b + 5*f = 35 - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than 821408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*n - 5*u + 25, 0 = 2*n - 3*u + 17. Let p = n - -6. Let v be (-1 - 2\/(-4))*p. Solve o = -v*y + 5*y - 14, -o + 2 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10286115 divided by -9015?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-207 + 63 - 47)*(4*k + 4*k - 22*k) + 3*k - 6*k + k.\nAnswer: 2672*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -10. What is the remainder when (f - 2 - -160)\/2 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 4. Let c be s(-8). Let j = c - 17. Let x(n) = n**2 + 5*n. Let g be x(-6). Sort 1, g, j in ascending order.\nAnswer: j, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/((-1620)\/2079) - 3\/6*-5. What is the highest common divisor of j and 28946?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 184 in -3\/4, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 96 = 2*n. Let o = 171 - n. Suppose -2*w = 2*y + 2*y - 78, -4*y = -3*w - o. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*-2*5*5)**2 + 0 + sqrt(128) + 5 + -5 + -4)*-1.\nAnswer: -319996 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2105 or 2106?\nAnswer: 2106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 1049347.\nAnswer: 6\/1049347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -17.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75118451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 223682941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 855717783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 16 = -37. Let w = 3 + 1. Differentiate -2 - 1 - f*h**w + 7 with respect to h.\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 6700452 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-6)*(-42)\/8. Let s = n + -26. Is 27\/18*s\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 3 - 3)*(0 + 20 - 9) + 2 - 2*z - 2 + (5*z - 4*z - 2*z)*(-2 + 3 + 0).\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17836 - -17853.24. What is the biggest value in l, 1, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 14*u - 9. Determine v(-8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(29\/(-232)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-8 - 0) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = 26*h + 770. Is h less than -263\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149235 is divided by 148401?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.95198966 - -0.08.\nAnswer: -0.87198966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvl when three letters picked without replacement from {h: 2, v: 2, l: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*z + 247 + 149 = -38*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Suppose 0 = -0*g - 2*g - 2*w + 40, 2*g - 40 = w. Calculate the greatest common divisor of m and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) 0 (c) -1\/26 (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 - 21201473*v + 21201476*v - 2*v**3 - 2*v**3.\nAnswer: -9*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309357 and 1332?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/2 + 244*l**3 + 1455*l**2\/2 - 2*l - 970.\nAnswer: (l - 1)*(l + 2)**2*(l + 485)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 26086*g - 2655088.\nAnswer: 2*(g - 101)*(g + 13144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 12631548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + (sqrt(128) + -1)*3 + -1 + sqrt(128) + 1 + -3 + -5 + sqrt(128)*-1 + -1))**2 + 0.\nAnswer: -6048*sqrt(2) + 12132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 12:38 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 462 - 438. Suppose 27*n = u*n + 1281. Does 67 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -40 + 5 + 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 724749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -18*r. Let f(j) = 6*j. Let c(x) = 17*f(x) + 6*p(x). Suppose -5*o + 3*o + 180 = 0. Let n(l) = o + 2*l - 90. Calculate c(n(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1872\/(-180))\/26 - (-2 + 1332\/(-30)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 17 = 4*g. Let s be 2*(g\/4 + 4). Suppose s*k - 146 = 115. Is k 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 -89981*h**2*j**2 + 7*h**2*j - 14*h**2 - 3*h*j**2 - 2*h*j + 1136*h + j**2 wrt j?\nAnswer: -179962*h**2 - 6*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 3*d. Let x be p(4). Suppose j - 2*j = -h + x, -5*h - 5*j + 30 = 0. Suppose -16 = -4*i + 4*o, i + 16 = 2*i + h*o. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -4 (c) 5 (d) 0 (e) 0.086 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 148336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 43330, 0.3, 0.2, 4?\nAnswer: 43330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -3*a**7\/385 + a**6\/33 + 59*a**5\/330 + a**4\/6 - 8*a**3\/33 + 2*a**2 + 340. Let j(g) = 0. What is g?\nAnswer: -1, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45948910 divided by -4?\nAnswer: 22974455\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2735d (base 16) to base 6.\nAnswer: -3235313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -69360940.24 and -0.1.\nAnswer: -69360940.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 244687232*h + 3741990093988864.\nAnswer: 4*(h + 30585904)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-11 + 20) - -32 - 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from aapzwzwwwaaazs.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (18 - -1 - 8) + -38 - 1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**6\/180 + j**5\/12 - 115*j. What is b in r(b) = 0?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2708, 0.4, -76\/5.\nAnswer: -2708, -76\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 451219?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**5 + 10480*r**4 + 83404*r**3 - 470016*r**2 + 376128*r = 0.\nAnswer: -2612, -12, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 112 = 31 + 37. Let p(q) = -16*q + 1. Let b be p(-6). Suppose h*u - b = 3*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 5787?\nAnswer: 23148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - 5) + (-2)\/((-6)\/9). Suppose -2*y + 297 = z*s, -y = 4*s + 3*y - 228. List the prime factors of s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*s**3 + s**4 - 285*s**3 + 215*s**3 + 79*s - 157*s**2 = 0 for s.\nAnswer: -79, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -60*n + 459. Let y be m(-18). Which is greater: 1541 or y?\nAnswer: 1541","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2 - 26*w + 26. Let h be j(1). Let z(c) = c**2 + 26*c + 66. Let o(y) = 5*y**2 + 104*y + 266. Let d(g) = h*o(g) - 26*z(g). Factor d(k).\nAnswer: 4*(k - 15)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -48053, -96102, -144151?\n\"Answer: -48049*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*d + 2. Let o(m) = -m**3 - 2*m**2 + m - 1. Let z be o(d). Let y be -6*(z\/(-2) - -1). Solve 4*v = 25 - y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19331136 and 768?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1305 - -1931. Suppose 2*r + x - j = -2*r, 0 = 5*r + x - 783. Let z = -106 + r. What are the prime factors of z?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30550118 to the nearest integer?\nAnswer: 5527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1986*g + 1973*g - 1183 = 0. Is g > -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -8\/65, -1\/145, -1, 0.4?\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14256 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (-22)\/(-5) - (-91)\/35. Solve -k = 4*i - 0*k - 10, -i - 3 = q*k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-27)\/6)\/(-3))\/(54\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -30*v + 230. Give p(10).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26 * -1\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 784323 a multiple of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4 + 2. Let t = 12 - n. Suppose 0 = u + 4*i + i + t, -32 = -2*u + 5*i. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/(102\/(-16) + 6). Let l be 1025000*((-16)\/f + 0). Round l to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -69 (b) -4 (c) 33\/5 (d) 19 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28340 + 28335. Sort -0.085, g, 76, 0.3.\nAnswer: g, -0.085, 0.3, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0 - 3 = 0. Let l be x - (12\/3)\/(-2). Suppose w - 3*d = -3 + l, 2*w = d + 21. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5423 and 787321.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzzcwwwyzwcw. Give prob of picking 1 z, 1 w, 1 y, and 1 c.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, q: 1, e: 1}. What is prob of sequence kqe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/5)*d*d*d\/d**(-2\/3))\/(d\/(d*d**(-1\/4)*d))**9 assuming d is positive.\nAnswer: d**(661\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a9 - -220?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 19*b + 7*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -638 divided by -331565.\nAnswer: 638\/331565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 118.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1441885 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0022 from 0.00786996.\nAnswer: 0.01006996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) -1\/3 (c) -280 (d) -2\/9 (e) 2\/3 (f) -0.07 (g) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 165912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -68. Suppose d + 2 - 4 = p, 3*d + 4*p - j = 0. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 7*m + 3. Let f be a(-5). Let y = -1049\/602 + 73\/301. What is the closest to -1 in y, 1, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - f. Let p(t) = 81*t**2 + 54*t. Let y = -379 + 433. Let u(n) = y*j(n) + p(n). Let m(d) = -2 + 2 + 2*d**2. Calculate m(u(i)).\nAnswer: 1458*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 39.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + (10 - (-224)\/(-12)). Which is the closest to -0.1? (a) -4\/3 (b) 4 (c) -14 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 10 - 4 - 8*m + 2*m**2 - m + 2*m. Let j be i(4). Solve -5*o + 3*o = -j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 47188423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/1449 and -149\/828?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 - 2*o + 1. Let i be v(1). Let m = i + 0. Suppose -m*h = -88 + 10. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 4\/9 (c) 1 (d) 162 (e) 7\/33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k. Let l(q) = -26295*q + 3. Calculate l(i(u)).\nAnswer: 105180*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420*z**2 - 6 + 0 - 3 + 9 + 463*z**2.\nAnswer: 43*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -20\/24507 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**4\/3 + 3*a**3 + 22*a**2 - 2*a + 47. List the prime factors of q(-8).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**2 - 48*i + 25. Let r(w) = 2*w**2 + 17*w - 7. Determine 8*r(a) + 3*x(a).\nAnswer: -2*a**2 - 8*a + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-24)*133\/(-665)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 1\/2*k**3 - 1\/4*k**4 + 1\/10*k**5 + 0 + k - 3\/2*k**2. Let c(d) = -5*d**3 + 7*d**2 - 7*d + 7. What is -3*c(y) - 7*f(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of -2 + 4 - (-4 - 174)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384 divided by -12.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/7 + (-96)\/56?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 45\/(-4)*13100\/(-393).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2587, -14, -5 in decreasing order.\nAnswer: -5, -14, -2587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1843028*v**3 - 3788586*v**2 wrt v.\nAnswer: 11058168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*o + 34*o + 227 + 385 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**2 + 6*y - 6*y)*(0*y**2 + 22*y**2 - 2*y**2).\nAnswer: -140*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.96 + 29.96. Which is greater: -94 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 + -111.005. Let h = t + -0.195. What is the closest to 0.1 in h, -1, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -144480, -144449, -144404, -144351, -144296, -144245, -144204, -144179?\n\"Answer: -p**3 + 13*p**2 - p - 144491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 + 960*u - 1912 = 0. What is u?\nAnswer: 2, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-10)\/((b\/(b**5*b))\/b) assuming b is positive.\nAnswer: b**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 6:50 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -b6a (base 15) in base 9?\nAnswer: -3471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 + 0*f**3 + 5*f**3 + (2 - 2 + 7*f)*(-4*f**2 - 8*f + 8*f) - 171*f**3 - 162*f**3 + 345*f**3 as z*f**2 + a*f**3 + l*f + p and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 574100913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/170 and 63\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/31, -2\/5, -1\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132113265 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 110*j**2. Let t be s(1). Suppose -24 = -2*u + t. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -723\/1092953 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-5)\/(-5 + 0). Suppose -c = -3*o + z, 3 - 13 = -3*c + o. Solve 0 = -6*y + c*y + 6 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 23 - (-4 - -3)\/(-1) and 3875\/248 + 9\/24?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37121327 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: Suppose 5*g = 60 - 150. Let u = g + 23. Which is the third smallest value? (a) 2\/9 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11450 (base 7) to base 6.\nAnswer: 21435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49310*p**5 - 11*p**4 + 2*p**3 - 2*p**2 + 942911*p + 3 wrt p.\nAnswer: 2958600*p**2 - 264*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (28\/70)\/(((-6)\/(-10))\/3). Suppose 2*s + h*s = -8, 3*s - 54 = -q. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/90)\/((-4)\/45) + 3.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(3)*-3 + 0.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 4 + (-5 - 5) + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 3\/71 (c) -1 (d) 1\/7 (e) 102.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4308244 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: What are the prime factors of 1076?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1574, -3537, -5894, -8645, -11790?\n\"Answer: -197*v**2 - 1372*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*n = -5*n + 684. Let j(b) = 8*b**2 - 7*b + 17 + 15*b - b**3 - 5 + 3*b. Give j(n).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, g: 1}. Give prob of picking 2 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5 + 5*g**4 + 16*g**3 - 13*g**2 - 14*g + 8 = 0?\nAnswer: -2, -1, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -156, -140, -114, -78, -32?\n\"Answer: 5*p**2 + p - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -42*l + 12. Let d(b) = 209*b - 65. What is -2*d(f) - 11*o(f)?\nAnswer: 44*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121.621 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i + 22*i + 29*i)*(4 - 2 - 19 + (-6 + 5 - 1)*(-3 + 2 - 1)).\nAnswer: -520*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 6 = -5*d - 4*m, 4*m = -2*d - 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 15. Let d be (l - 21) + (-5)\/1. Sort -2, d, 4\/13, -0.5 in decreasing order.\nAnswer: 4\/13, -0.5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8108246309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42\/(-4))\/(2\/(-4)). Let y = 1 + s. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-48)*(8 + -5 + 1)*-28227.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 7\/((-7)\/8). Suppose -o + 2*y = 2*o - 15, -3*y - l = -2*o. Solve 0 = -o*s - 4*w - 29, -2*s + 2*w - 7 = -w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 - (-3 - (0 + 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6724175967.\nAnswer: 3, 263, 2840801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 997 and 4985.\nAnswer: 4985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 g when four letters picked without replacement from {o: 1, g: 2, q: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - (-260)\/(-30)) + 15917\/3. Suppose -h = -7*v + 469. Calculate the highest common divisor of v and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 5, n: 1, z: 13}. Give prob of sequence rz.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 79200 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m - 39*m + 25*m to c + r*m and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39470.480543 + 39663.4801. Let k = 193 - j. Round k to 5 dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 + 2*c + 4. Give j(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 + 14255056771.8.\nAnswer: 14255056770.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (0 + 3)\/(2\/4) and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4 - 176*l**3 - 1154*l**2 - 1620*l = 0. What is l?\nAnswer: -81, -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 332841 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*t = -1234, -5*t = 5*c + 403 - 1278. Calculate the highest common factor of c and 1712.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0515 + -0.0485. What is the third smallest value in -1, 11, k?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**3 - 7*a**2 - 10*a - 2. Let v be m(7). Suppose 5*n = 5*l - l + v, 2*l = 8. Suppose n = 2*h + 2*d, -h - d + 73 = 2*d. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(5) - (sqrt(5) - (sqrt(5) + sqrt(5)*1 + sqrt(5))*-5)) + sqrt(5)).\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 916*j - 5299. Calculate r(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/11232 and 81\/2288.\nAnswer: 123552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-21)*(-33)\/121?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13671895 at most 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3531384869?\nAnswer: 479, 7372411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 123?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*a = -71*a + 1232. Calculate the remainder when a is divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - n + 5. Let u be l(0). Suppose -8 = -0*w - 4*w - 4*y, -2*w + 4 = -5*y. What is the units digit of (w - u) + (-9)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 14 = 21*l - 20*l, -3*l - 7 = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 792 - -1244560015.\nAnswer: 1244560807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 944 = 2*q + 6*q. Let t = q - 103. Calculate the lowest common multiple of 35 and t.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103820 by 42.\nAnswer: -51910\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/15 - 134*p**4\/3 - 62726*p**3\/15 - 1110818*p**2\/15 - 1195712*p\/3 - 985960\/3 = 0. What is p?\nAnswer: -157, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 267 + -39?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -1\/4*z**4 - 7\/6*z**3 + 0*z**2 + 0 + 2*z. Let j(b) = -b**2 - 2*b. Let f be (-12)\/(-9)*6\/(-4). Calculate f*l(o) + 7*j(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 719 - 717. Which is the smallest value? (a) 0.09 (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4111448 + -0.411. Round r to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63875498 or -63875497?\nAnswer: -63875497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22 + (-290889)\/(-63) + (-4)\/14.\nAnswer: 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 249*g**4 - 311*g**2?\nAnswer: 5976*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6010497083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37414 - 95*a - 37414)*(-2 + 2 - 3)*(-2 + 3 - 2) to i + p*a and give p.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11850*y - 4017172. Calculate q(339).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 301*y - 37*y - 8591352. List the prime factors of y.\nAnswer: 7, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 682, 683, 684, 685, 686, 687?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/75, -67, -17, 16?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7837481 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1128676, 1128851, 1129146, 1129561, 1130096, 1130751, 1131526?\n\"Answer: 60*k**2 - 5*k + 1128621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 5. Let c = o + 7. Solve 5*j = -4*y - 3, -y - c - 4 = -5*j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/(c\/(c\/((c*c\/(c**(-1\/21)*c))\/c*c*c))))\/c*c*c)*c**(-10\/13))\/(c**(-28)\/(c\/((c\/(c*c*(c*c**(-17))\/c))\/c))) assuming c is positive.\nAnswer: c**(3898\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 66*s - 5. Is p(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518162 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 732 (base 10) to base 14\nAnswer: 3a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -361, -1527, -3471, -6193?\n\"Answer: -389*c**2 + c + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (5*5 + -1)*297\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 15*u**2 + 34*u + 13. Determine y(-17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 11:25 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k + 4 = 0. Let l be (-1)\/((-2)\/(-4)*k). Put 4, 1, l in descending order.\nAnswer: 4, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 16, 4, -27, 13 in ascending order.\nAnswer: -27, 1, 4, 13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*q - 5*q + 695 + 1978 = 0 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 242*b**3 + 736*b**3 + 176 - 247*b**3 - 245*b**3 + 2*b**2 to x + s*b + h*b**2 + n*b**3 and give x.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/10744, 0.3, 1, -144?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-2.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3000988?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 14*b**2 - 5*b + 25. Let j be v(-7). Suppose -j = -2*i + 4*m, 2*i - 3*i = 2*m - 10. What is the smallest common multiple of 7 and i?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*z**5 - 61*z**3 + 17*z**4 - 39*z**3 + 98*z**3 + (-2*z**4 + 0*z**4 + 3*z**4)*(-9 + 9 + z).\nAnswer: 20*z**5 + 17*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.193789 centimeters in micrometers?\nAnswer: 31937.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 198 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28044 - 7753. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 0.2. Suppose -47*a + 49*a - 1 = 3*r, 5*a = 4*r + 13. What is the smallest value in 5, r, -2\/9, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 2*u**2 - 7*u**2)*(-8 - 3 - 4)*(-u - 2*u - 2*u).\nAnswer: -750*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 9) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/10)\/(((-21)\/258)\/7). Let u = f - -208. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 56*s**2 + 348*s - 113. What is g(61)?\nAnswer: 2510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.355 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6466915109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 24*x - 60. Suppose 466 = 77*o - 322*o + 2671. Determine v(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6047 divided by 30\nAnswer: 6047\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**0*x*x\/(x**(2\/65)\/x)*x*(x**(-13))**(1\/13) assuming x is positive.\nAnswer: x**(193\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-1)\/2) - (-16 + 9). Solve 4*l + 5 = -a, -g + 4 = -2*l + 3*a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 + 98. Let w = -1\/225 + -143\/1575. Which is the closest to -0.1? (a) 0.2 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 90957?\nAnswer: -90954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1701, 2227, 8771, 17931, 29707, 44099?\n\"Answer: 1308*l**2 + 4*l - 3013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-4)\/(8\/(-62)). Let j be f\/(-4)*(-256)\/48. Let g = j - 20. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 104 = 94. Let u be (3 + -3)\/4 - (0 - 0). Put l, 4, -3, u in ascending order.\nAnswer: -3, u, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 141441000 + -1?\nAnswer: 141440666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/2990)\/((-4)\/(-20))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2460235?\nAnswer: 5, 492047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1288417 or 1288430?\nAnswer: 1288430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9884715 rounded to 1 dp?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -182227 + 182047.646. Let y = 181.4 + n. Round y to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 14314c1?\nAnswer: -14314c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.824 + 25.824. Let m = -6 - -8. Let a = 0 + m. What is the nearest to a in p, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1170.1 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 - -108. Let u = y + -13.7. Which is the closest to -3\/5? (a) u (b) -1.6 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 78, 76, 74, 72?\n\"Answer: -2*z + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from ktinkkiiccmk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 - 34 - 15*q - 30*q + 2*q as f*q + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -6\/7, -0.1, -5, -0.046 in descending order.\nAnswer: -0.046, -0.1, -1\/4, -6\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 110 - 4?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3848116715?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55461.\nAnswer: 3, 7, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2001, -2039, -2147, -2361, -2717, -3251?\nAnswer: -3999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 62 = 70. Sort -9, 0.09, -3\/7, q in ascending order.\nAnswer: -9, -3\/7, 0.09, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*m - 13*m + 17*m + 6*m to the form j*m + l and give j.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 317808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, j: 2, e: 2}. What is prob of picking 2 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140.77 + -0.23. Let i = 141.2 + t. What is i rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 97 = -b - 77. Let x be 7\/1 - 14\/7. Does x = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*g + 2*f + 2*f, -2*g + 90 = 2*f. Calculate the smallest common multiple of 10 and g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 8) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378, -1396, -3058, -5370, -8338, -11968, -16266, -21238?\nAnswer: -26890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -213*z**3 + 2*z**2 + 12*z. Let m(u) = -u**3 - 3*u. Determine d(j) + 4*m(j).\nAnswer: -217*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10803 (base 16) to base 13.\nAnswer: 249c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 117. Let z = t - -17. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15326059.\nAnswer: 7, 31, 70627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 951581 to the power of 1\/2, to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**5\/20 + g**4\/6 - g**3\/6 + 2*g**2 - 12*g. Let b be q(2). Solve 0 + 2\/7*h + 2\/7*h**3 - 4\/7*h**b = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21255545159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2*v - 1 = -g, 2*g - 7 = -5*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23653569?\nAnswer: 3, 43, 183361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000194056 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 7 - 3 = -5*p, -3*t = -p + 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*d + 12 = 0, 4*v + 4*d - 3*d = 12. Suppose -3 = v*q - 6. Differentiate -q + 3*j - 3*j - j**4 wrt j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f - -20?\nAnswer: 5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-two thirds of a minute?\nAnswer: 1240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**6\/72 - r**4\/24 - r**3\/2 - 2*r. Let k(q) be the second derivative of w(q). Calculate k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 29.9 (b) -1425 (c) 0.4 (d) 51\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 381261?\nAnswer: 3050088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219638, 219639, 219640, 219641?\nAnswer: 219642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 10*w - 3. Let h = 3 + 8. Let d be l(h). Let y(u) = u**2 - 9*u + 8. What is y(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. What is the first derivative of 5*c**2 - 4*c**2 - 3*c**2 - 3*c**2 + x wrt c?\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/17, 2, 2.31, -5, 0.3, 0.2?\nAnswer: 2.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p - 30 = 0. Which is smaller: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 13*u**4\/6 - u**3\/6 - u**2 + 32*u. Find the second derivative of l(c) wrt c.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 39?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 921470 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o**2 + 23*o**2 - 6*o**3 + 0*o**3 - 58*o**2.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -7) + (-2 - -3). Let c be (-2 + a)*(-2)\/(-8). Suppose -9*i = 9 - 27. Let r(l) = l**2 - 1. Let d(n) = -4*n**2 + 2. Determine c*d(j) + i*r(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in -18, -5\/3, 257, -19?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*j, -a - 18 = -60*j + 56*j. What is the biggest value in a, -2\/3, -15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) -10 (b) 5 (c) -73220\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/3))**30\/(j**(2\/3)*j**4)*j*j**(-6)*j\/(j*j**(-1\/8))*j\/j**(-1\/2)*j*j**8*j assuming j is positive.\nAnswer: j**(527\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -15.5. Let f be 8\/2 + (-12 - -3). Let v = 2188\/209 + -114\/11. What is the third biggest value in 1, o, v, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1190000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 502 (base 11) to base 10.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1, 0.3, 2\/11, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 + 80*m - 429. Calculate v(33).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 256764 (base 9) to base 6\nAnswer: 3201434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 3404.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(794\/42 - 19).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/8 or -2.9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/5, -215 in decreasing order.\nAnswer: 5, -1\/5, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -753 >= -744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 10 = 6*h. Let t be -9 - -2*(h + -3). Let k = t + 10. Is -9\/5 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11686484 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**4\/4 - 2*q**2 + 3*q - 1. Let s be g(2). Let b be ((-18)\/(-90))\/((-2)\/(-4)). Put b, 1\/2, s in decreasing order.\nAnswer: s, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q - 40 = 0. What are the prime factors of q + -1 + 0 - -3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0058000883 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t**2 - 73*t + 2. Let r be i(-10). Suppose 172 = -4*j + 3*f, 2*j - 208 = 7*j - 2*f. Let u = j - r. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 4, -117727?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -0.3 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -8 (b) -1 (c) -2 (d) 3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 31784.21ms?\nAnswer: 31784210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*-1*(-6)\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*o + 9. Let c(j) be the first derivative of -9*j**2\/2 + j - 23357. Calculate c(o).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2562*n**3 - 3*n**2 - 6*n - 5. Let g be v(-2). Let r be g\/(-65) - 2\/5. Suppose 8*o = r + 189. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 106, 194, 282, 370?\n\"Answer: 88*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 3*o**2 - o - 3. Let y be v(-4). Let m = y + -12. What is the units digit of 3\/3*m*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -7. What is the remainder when (-1 + 0)*(-76)\/2 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5872431 and 9765.\nAnswer: 5882196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*8\/700*2*(-85)\/17?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139 - -148. Suppose s + 4*h = 44, 3*s = -2*s - h + 182. What is the greatest common factor of i and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 5*j + 83. Let c be b(-7). What is the nearest to 1 in -0.5, c, 0.3, -45?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**3 - 6*m**2 - 6*m. Let j be d(-1). Solve -j*l + 2 = -28 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 11. Let q be j(-11). Let m be 2\/1 + q + 0. Let 3 + i**3 + i - 2*i**3 - m - i**2 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/4 and -43\/34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127520384*v**6*w**2 + 13819*v**2*w**2 + 2*v**2*w + 400*v*w**2 - 3*v*w wrt v?\nAnswer: 15302446080*v**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12121211 (base 3) in base 2?\nAnswer: -1000000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7291 (b) 0.4 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-1)\/1 - -3. Let x(o) = 0*o**2 + 6 - 5*o - 3*o**2 + 4*o**2. Let f be x(t). What is the highest common factor of f and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 - 2*j**2 - j - 2. Let a be v(2). Let k be (-1)\/1*(-12 + -1). Let r = k - a. Let m(s) = -6*s + 1. What is m(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (520\/(-24))\/(1390\/(-834))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7045481 is divided by 1257.\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 + (-46)\/(-69). Determine j so that 2\/7*j + 2\/7*j**2 + m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3505.169+1068\nAnswer: 4573.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*h**5\/9 + 1864*h**4\/9 + 17914*h**3\/9 + 63272*h**2\/9 + 23656*h\/3 + 480 = 0. Calculate h.\nAnswer: -15, -9, -4, -2, -2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-64)\/(-96)*-2*(-501)\/4 is divided by 44\/3 - (-2)\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 1251*c - 257. Is s(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + b**2 + b**3)*(-3 - 34 + 1)*(2 - 2 + 1).\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, z: 3}. Give prob of sequence zp.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 179, 363, 665, 1085, 1623?\n\"Answer: 59*h**2 + 7*h + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 9*l - 2. Let y be f(6). Let o be 2 + 41 + 4 + -7. Let i be 8\/y - (-6)\/o. Which is the second biggest value? (a) 0.04 (b) i (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2408 - 1768. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -787*3.\nAnswer: -2361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-272)\/(-2 + -2)*(-2)\/(-516). Let b = -3\/43 - q. What is the second smallest value in 1\/5, -0.3, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 4:57 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - v + 7*v - 3*v - 2*v + (-4*v + 5*v - 2*v)*(-2 - 3 + 4))*(5 - 2*v**2 - 5 + (-v + 0*v + 3*v)*(3*v - 3*v + 3*v) + 2*v**2 - 3*v**2 + 0*v**2).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-7)*8\/40. Let s = -3 + 0. Which is the nearest to -2\/5? (a) s (b) v (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1694.75 - -1695. What is the third biggest value in 2\/11, f, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6051 is divided by 3021?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(5\/2)*(-144 - (-15960)\/112)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -664890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(-2*sqrt(816) + sqrt(816)))\/(((sqrt(96) - (sqrt(96) - 1*sqrt(96)))\/sqrt(4))\/sqrt(8)).\nAnswer: -96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 d when four letters picked without replacement from {d: 3, e: 2, x: 3, o: 3, k: 7}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 595 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 48\/136*(-37536)\/(-414)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 7, v: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 30. Suppose 76 = z*u - 5*u. What is the remainder when 35 is divided by (1\/(-2))\/(0 - (-2)\/u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 49*f - 60*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/27527 or 0?\nAnswer: 5\/27527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 3. Let a(b) = 2*b + 5. Give -4*a(c) - 7*l(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -5*i**8\/84 - i**6\/60 + 13*i**5\/20 + 6*i**2 + 7. What is the third derivative of o(f) wrt f?\nAnswer: -1200*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2146)\/(-4) - 21\/(-14). Suppose 3*g + 2*g - 4*d = z, -g + 108 = -d. What are the prime factors of g?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1510 and -20.\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 14 - 2*u)*(-1 + 1 - 1) to l*u + c and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-1 + 1 + -8). Let a = -133 - -133. Suppose a = 6*f + 7 - 13. What is the nearest to w in -2, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6201716*b**3 - 3*b + 261117589 wrt b.\nAnswer: 18605148*b**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 - -4 - (1 + -1) - 21).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + o**2 + o + 1. Let t be u(-2). Let m(s) = -8*s - 2. Let q be m(-2). Let g = q + t. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 + 5*s**2 - 3*s. Let z(v) be the first derivative of -v**4\/2 + 2*v**3 - 3*v**2\/2 + 117. Calculate 4*t(l) - 3*z(l).\nAnswer: -2*l**3 + 2*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.485 to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.98 - 2808528770.\nAnswer: -2808528772.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3887 + 12*d + 11*d**3 - 21*d**2 - 7801 + 3895 wrt d?\nAnswer: 66*d - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 17*v + 286 + 11 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sos. Give prob of picking 2 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16285 - -2551.40274.\nAnswer: 18836.40274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3017*i**2*o**2*x - 6*i**2*o*x - 404*i**2*x + i**2 - 28*i*o**2*x - i*o - o*x wrt o?\nAnswer: 6034*i**2*x - 56*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111 + -111 - (-11 + 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 6*d**2 - 8*d - 3. Let t(c) = c - 12. Let n(h) = -h**2 + 7*h - 5. Let b be n(5). Let s be t(b). What is the units digit of y(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -100313*d**2 - 16*d + 9. Let n be y(-16). Round n to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*d - d**3 + 83 - 83 + 111*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 130185388 a multiple of 1003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3443.41 + 3427. Let n = y + 16.5. Is n < -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -7, 4, -1029, 5 in descending order.\nAnswer: 5, 4, 0, -3, -7, -1029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 + 3*m + 3. Let s(l) = 4*l**2 + 2*l + 2. Let p be ((-36)\/(-45))\/((-4)\/10). Let z(a) = p*k(a) + 3*s(a). Let j(o) = 10*o. Determine j(z(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 763.6 and 85.\nAnswer: 848.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -97969*t**3\/7 + 116749*t**2\/7 - 19680*t\/7 + 900\/7.\nAnswer: -(t - 1)*(313*t - 30)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 307986.9kg to tonnes.\nAnswer: 307.9869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*n - 30*n - 30*n)*(-2*n**2 - 2*n + 2*n).\nAnswer: 272*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 + c + 31. Let u be b(0). What is the third derivative of 122 - 120 - u*l**6 - 77*l**2 - 49*l**6 - 31*l**6 wrt l?\nAnswer: -13320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 16 + 4. Suppose 20 = x*j - 4*g, 0*j - g + 15 = 3*j. Which is the third smallest value? (a) -0.01 (b) 3\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000103253614 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(2\/3))**(-3\/37)\/(m**(-1\/5))**(-1\/3))**(-32\/5) assuming m is positive.\nAnswer: m**(5024\/2775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -13*z**5\/20 + 19*z**3\/6 + 24*z. Find the second derivative of q(h) wrt h.\nAnswer: -78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k - 7*k - 4 + k)*(k + k + 4*k) to c*k + a*k**2 + r and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244, -762, -1278, -1792, -2304?\nAnswer: -2814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (5 - ((-9 - 0) + 15)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -211 + 151. Calculate the common denominator of (-163)\/n + (-12)\/18 and 145\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12*(81\/(-12) - -2). Suppose -f = -h - 5*g + 23, 0 = -2*h + 3*g + 108. Calculate the highest common divisor of 20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p. Let n(y) = -y - 1. Let g(h) = -3*h - 6. Let d(o) = -g(o) + 6*n(o). What is k(d(r))?\nAnswer: 33*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(35\/2*518\/370)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4739bd (base 16) in base 3?\nAnswer: -22210011001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -39.63. Let q = -0.13 + w. Which is the biggest value? (a) q (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -11 (b) -0.1 (c) 777 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((70\/(-25))\/(-7))\/(2\/520). Suppose -2*s = -k + t, -593 = -5*k - 3*s - 99. Suppose 82*a = 83*a - k. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 139905*s - 3216228.\nAnswer: -3*(s - 46612)*(s - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2. Let y(k) = -2*k**2 + 2*k - 1. Let m(s) = -14*s**2 - 3*s + 3. Let r(u) = m(u) + 3*y(u). Determine d(r(j)).\nAnswer: -400*j**4 + 120*j**3 - 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 3)*(-2*j + 5*j - j) + 347 - 7*j - 347)*(-j**3 + 4*j**2 - 4*j**2).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 - 11002212210?\nAnswer: -11002211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -42*x + 16*x - 8 + 13*x + 16*x. Let b be q(3). Let r(d) = -7*d + 1. What is r(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/840 and -5\/282.\nAnswer: 39480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -3. Let x be 3 - (2 + a) - -2. Suppose x = 3*n - 7. Solve n*p - 8 = -28 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250656, 501304, 751952, 1002600?\nAnswer: 1253248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2031 * 5\nAnswer: -10155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-3) - (2 - (-388)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1410 divided by -235?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from zgspzzzgt?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 82389000 to the nearest 1000000.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 17*m**3 - 4*m**2 + 2*m + 6. Let k be p(-3). Let y = -345 - k. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 154*j - 105. Let t be v(6). Let z = 1370 - t. What is z rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45689045 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -90\/13? (a) -0.4 (b) 22 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Let j = 6 + t. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106738427 a multiple of 1947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 3. Let q = 5 + v. Suppose -5*b = -3*l - 50, 2*b + q*l = b + 10. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 485*d*o**2 + 743*d + 577*o**3 - 31*o wrt o.\nAnswer: 970*d + 3462*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*16\/120*-18*((-30)\/(-27))\/2.\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1025335 (base 6) to base 13\nAnswer: 19c76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 320326987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60909 and 3?\nAnswer: 60909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 + 2*r - 10. Determine w(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_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 thousands digit of 82468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 7*j**2 - 5*j - 7. Let w be o(6). Let p = w - -93. Suppose 4*b - 9 = 3. Solve -b*d = 2*s + d + 16, 2*d + p = 5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 11*f + 2. Let s be x(11). Suppose 1603*d - 1605*d + 10 = p, 4*p - d = 49. Put p, s, 3, 5 in decreasing order.\nAnswer: p, 5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/7)*x*x*(x**(-1)\/x)\/x)\/(x*x*x\/(((x**(-1)*x)\/x)\/x)*x*x*x)**(-35) assuming x is positive.\nAnswer: x**(1952\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -76344 divided by 4?\nAnswer: -19086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25975 - -61836. Is 163 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + b**2 + b + 15. Let z be t(0). Suppose z = 4*l + 3. Solve -l*m = -6, -11 = -j + 2*j - 3*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49469.34 to the nearest one hundred.\nAnswer: -49500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**2 + 4*t**3 - 2*t**3 - 3*t**3 + 0*t**2 as d*t**3 + q*t**2 + i*t + x and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -43*n**5\/120 - n**4\/24 + n**3 - 9. Let f(l) be the third derivative of h(l). Is f(-3) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-15)\/12) - -5. Let d(v) = 2*v**2 + v + 2. Let k be d(s). Let j = 0.9 + -1.3. What is the fourth smallest value in 1\/9, -1, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39972519 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02356 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**3 + u**2 + 9*u - 4. Let p(b) = -2*b**3 + 4*b - 2. Let z(y) = 279*y**3 - 2*y + 3. Let o be z(1). Let j = -271 + o. What is j*p(a) - 4*f(a)?\nAnswer: -2*a**3 - 4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 7:29 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 704\/6772449?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1699 - -2617. List the prime factors of ((-3)\/(-2))\/(27\/g).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-2))\/(23\/46). Let a be (-54)\/v*(-25)\/15. Suppose -6764 = 2*f - a*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 20*x + 4538. Let d be n(-58). Solve v + 5*u = d, -9 = -22*u + 19*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.6262 months?\nAnswer: 0.00046885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -10, 1, 4\/9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1472 + 4367. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.6 - 25. Let d = q + -11.600416. What is d rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5992148*c - 34863591.\nAnswer: -5992148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 6*d**2 + 6*d - 6. Let n(o) = 55 + 725*o - 5*o**3 + 15*o**3 - 780*o - 55*o**2. Give 6*n(q) + 55*y(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 + -5 + (3 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -2*v**5\/5 - 17*v**2\/2 - 15. What is the second derivative of c(u) wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 5:42 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gge when three letters picked without replacement from ggqeeeehegeheeeggee?\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.61 (b) -0.886 (c) -2 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)*i*i\/i**(-1\/6))**(-34) assuming i is positive.\nAnswer: i**(187\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 5117.3.\nAnswer: 5117.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(192)*-1*1)**2 + (-4*(sqrt(192) - 1*sqrt(192)))**2.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -240*p**2. Let n(s) = -12799*s**2. Calculate n(o(u)).\nAnswer: -737222400*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.4 + -5.4. Let f = -0.94 - -4.94. Which is the nearest to -1? (a) 25 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27\/6 + -3)*2. Suppose 23 = z*v - 7. Suppose -h - v = -2*k + h, -3*k + 23 = h. Solve -9 = -4*n + k*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let v(q) be the third derivative of -7*q**4\/24 + q**3\/2 + 4*q**2. Let g = -586 + 580. What is g*w(p) + v(p)?\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 4 - ((-2)\/(-25) - 102\/25). What is s in 2*s + 9\/5*s**2 - 3\/5 - 4\/5*s**n = 0?\nAnswer: -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j**(1\/3)\/j)**19 assuming j is positive.\nAnswer: j**(133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 h when three letters picked without replacement from uuuuuuhuuh.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 5\/16*j**4 + 0 + 1\/6*j**3 - 1\/2*j**2 + j. Factor y(b).\nAnswer: (3*b + 2)*(5*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 8:34 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/9)\/(-14)*-9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -389\/9. Let t be 5\/(-2)*4\/(-17). Let h = 56\/153 - t. What is the nearest to a in h, -1\/2, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -12. Suppose -h*u + 11 + 9 = 0. Let d(t) = 2*t**3 - 2*t**2 - t - 1. Let b be d(2). Sort u, b, -3 in decreasing order.\nAnswer: b, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.72 - -1.28. Sort -1\/11, i, 4, 0.05.\nAnswer: -1\/11, 0.05, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**5\/30 - h**4\/12 - 18*h**2 - 2*h. Let q(o) = 2*o. Calculate y(q(d)).\nAnswer: -8*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 106494 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5893*i - 5350*i - 24435 = 0 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - m - m = 44500010, 35600025 = -4*v - 5*m. What is v rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v + 1625 = -51*v. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144 (base 5) in base 12?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1003*r = 1031*r - 140. Solve -r*x - 2*g = -21, 4*g + 9 = 7*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25973?\nAnswer: 19, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 296084 + -0.22\nAnswer: 296083.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, m: 1}. Give prob of sequence rm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4 + 116644*v**3 - 2334292*v**2 + 5486300*v + 7937232 = 0 for v.\nAnswer: -29181, -1, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 324502099 a multiple of 1654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1240 = 2*q + 1244 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (103300\/1000 + -103 - (-31)\/30)*(-6)\/16.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 12*k + 165. Let y be v(8). Factor -y*h**3 - 250*h**2 - 156*h + 194*h - 283*h.\nAnswer: -5*h*(h + 1)*(h + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 779, 1448, 2015, 2480?\n\"Answer: -51*o**2 + 822*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/(-3) - (-9)\/27. Let r be (-2)\/5*(-15)\/k. Let f be 1\/((-2)\/(-4) - 1). Which is the nearest to -2\/3? (a) 0.4 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 3*l + 27 = 0, i + i + i - 1 = -2*l + 6*l for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p + 8. Determine r(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 21, -1723, -31, -3 in increasing order.\nAnswer: -1723, -31, -3, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2)*(3488*i**2 - 1610*i**2 - 1726*i**2 + 16 - 2*i).\nAnswer: 152*i**2 - 2*i + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6618.19 years to centuries.\nAnswer: 66.1819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 18 + 370 = 0. Let j = d - 176. Solve 5*r = -2*c + 14, j*c - 2*r + 20 = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 17*v**3 - v**2 + 2*v + 4. Let l be k(2). Let f = -47 - -190. Let h = f - l. Solve 4*i = -5*u + 17, 0 = h*i - 7*i - u - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 + 0*l**2 - 6*l**2 + (2*l + l - 2*l)*(l - 2*l + 3*l) + 0*l**2 - 8*l**2 + 4*l**2 + 0*l + 2*l**2 + 0*l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*u = 81*u + 205 + 4403 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3605 (base 7) in base 16?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13 - 2) + 81\/27. Calculate the highest common factor of q and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 59 + 1333 = -3*a, 522 = 2*j + 5*a. Round j to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.1857 - 0.0657. Let m = q - 3.12. What is the closest to 23 in 2, -3\/8, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*u - 82, -177*r - 3*u + 103 = -172*r. Solve r*g - 7*g = 39 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 310072049.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -35\/6 (c) -5\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 761 + -66.8\nAnswer: 694.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*d + 35, -5*f + 9 = -16. Let r be 5*(3 + (d - -2)). Let g = 1 - -14. Calculate the highest common factor of g and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 233946 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 - c5?\nAnswer: -9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**5\/4 + 57*m**4\/4 - 180*m**3 + 656*m**2 = 0.\nAnswer: 0, 8, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**10)\/h)**8*(h*h\/(h**(-3)*h)*h)**(3\/13))**(1\/25) assuming h is positive.\nAnswer: h**(211\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h + 13*h**2 + 10 - h**3 - 3 + 2*h + 13 - 5. Give c(14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 6, 9, 24, 57, 114, 201, 324?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 8*j**2 + 4*j - 13. Let m be x(-7). What is the greatest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17731 - 443243\/25. Let x(u) be the first derivative of -33 + 0*u**2 - 4\/5*u**3 + 17\/10*u**4 - 7\/15*u**6 + q*u**5 + 0*u. Suppose x(p) = 0. Calculate p.\nAnswer: -1, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2808*a**2 - 4426*a?\nAnswer: -5616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + n**2 - 13*n**2 + 2*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -2*w**2 - 1\/120*w**6 - 1\/8*w**4 - 2 - 1\/12*w**5 + 0*w + 2\/3*w**3. Let o(d) be the second derivative of z(d). Give o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**3\/5 + 213*u**2\/5 + 15123*u\/5 - 2622. What is x in j(x) = 0?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/238)\/(1*(-3)\/42).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25\/92 + 1\/46. Let l = -1.1 - -1.1. Let b = l - 0.3. What is the nearest to 0.2 in -0.1, b, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.19 - -0.19018. What is h rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 0 + 2 + c**2 + 3*c + c + 4*c. Let p be x(-6). Let w be ((-3)\/p)\/(60\/50). Is 7 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 1:55 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 21*d - 17*d = -35, 4*d + 11 = 3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 6*g**2 - 2*g**2)*(-2*g**2 - 7*g**2 - g**2) + (-g**3 - g**3 + 3*g**3)*(-3*g + 5*g - 3*g).\nAnswer: -21*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 698555 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 + 19 - 39 - 10*y - 2*y + 0*y + y - 62 + 62 - 3*y + 5*y - y - 2*y + (4 - 4 + 1)*(0*y + 2*y - y) - 2*y + 0*y + 0*y + 3*y - 2*y + 0*y.\nAnswer: -12*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wauuauawwwuaww. Give prob of sequence awua.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11200*d**3*h**3 - 116*d**3*h - 13*d**3 + 1027*d**2*h - 14*d*h**3 - d*h + 3*d + 61*h**3 wrt d.\nAnswer: 67200*h**3 - 696*h - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - t - 2*t)*(-5 + 4 - 1)*(2 - 5 + 0).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 521496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.7 or -8\/87?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5463892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*o**3 + 20*o**2 - 10*o**2 - 7*o**2 in the form m + y*o**3 + g*o + c*o**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l. Let o(r) be the second derivative of r**5\/60 + 5*r**3\/6 + 2*r. Let n(p) be the second derivative of o(p). Determine n(a(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15357, 15369, 15381, 15393?\n\"Answer: 12*s + 15345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.4, 19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, 1970, 0.2?\nAnswer: 1970","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*y - 5*y - 1892. Is y a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/22506400 and 149\/660?\nAnswer: 742711200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5193882?\nAnswer: 2, 3, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -209627 or -1\/15?\nAnswer: -209627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 5 + 11 + -24 - 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355872 - 1028396 = -76*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 3:19 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s = -5*v + 1440, 4*v = 4*s + 1176. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -884 or -8853\/10?\nAnswer: -884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1046 + -1022. What is the highest common factor of 1068 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -87*y**3 + y**2 - 2*y + 3. Let m be h(1). Let v = m + 147. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g, 18*i + 9*g - 11*g = 4984040. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 - -98. Suppose n + 5*u - 217 = 0, -g*n + 758 = 3*u - 371. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a minute?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/19)*x\/((x*(x**(-8)*x)\/x)\/x) assuming x is positive.\nAnswer: x**(169\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15837 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 219*h - 1678. Determine i(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.2 - -0.5. Let i = -26.6192 + f. What is i rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29838 + 28491.64. Let a = n + 1369. What is a rounded to 0 dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -2\/3*u**3 + 0*u - 3\/40*u**6 + 0 - 122*u**2 + 0*u**4 + 1\/15*u**5. Let n(d) = -9*d**3 + 3*d**2 - 3. Give -3*m(a) + 4*n(a).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4181 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 0 - (-2222)\/(-303))*9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 43. Let o be i(-6). What is the greatest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024) + -1*sqrt(3024))\/(sqrt(3) - (sqrt(18)\/(-1*sqrt(6)) - sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 17*g - 67. Let z(n) = 18*n - 70. Let h(o) = 3*u(o) - 4*z(o). Let j be h(-30). What is j rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 4*s = -14, -43*u + 1796*s - 1801*s = 56 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b - 37. Let j(u) = u + 18. Let c(o) = 13*j(o) + 6*z(o). What is c(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**3\/2 - 2*m**2 + m. Let h be j(3). Let v(l) = l**3 - 5*l**2 - l + 3. What is v(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 2*f**2 - f. Let a be w(1). Let n(b) = b**3 + 6*b**2 - 6*b + 6. Let h be n(-7). Let p be (-1 + 2)*h*a. Solve p = -4*u + 2 + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12 and -27.34.\nAnswer: -39.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -362*z**3 + 5*z**2 - 40*z - 10. Let u(h) = -1085*h**3 + 14*h**2 - 112*h - 28. Calculate 14*t(o) - 5*u(o).\nAnswer: 357*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16634, -16244, -15854, -15464?\n\"Answer: 390*v - 17024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1240 = -3468. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -309*c. Let l(k) = 24309*k - 1. Give l(n(f)).\nAnswer: -7511481*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -6. Let v = 8 - w. Solve n + 0 = v*y - 6, -4*y + 18 = 5*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 3*m**2 + 0*m**2)*(-7087*m + 7087*m + 69*m**3) + m**3 - 4*m**5 - m**3.\nAnswer: 341*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1135*u + 1149*u - 28 = 0. Solve -z + u*z = -6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -176 - -272. Suppose 0 = 3*q + 4*d - z, 0*q + 87 = 3*q + d. Suppose 67 - 270 = 8*a - 37*a. What is the greatest common factor of q and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 19*b + 11. Let y(d) = 6*d**2 - 95*d + 55. Let h(w) = -11*p(w) + 2*y(w). What is the hundreds digit of h(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1032 - 509. Let b = z + -515. Solve 1 = -9*r - b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 3 = 36. Suppose -2*k - 7*p = -w*p - 10050, 4*p = -16. Let t = k - 2938. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13441 or -13440?\nAnswer: -13440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*g + 54*g + 3648 = -124*g - 175*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuzzuuzzuuuzuz. What is prob of sequence uz?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 667 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106977 is divided by 484?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 52. Suppose -2*p + 79 + l = 0. What is the remainder when p is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -532 by 5735.\nAnswer: -532\/5735","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1807512 and 27048?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000110 - -110001010011111?\nAnswer: 110000101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379, -727, -1075?\nAnswer: -1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102.9 + 95. Let t = -51.6 + 51.9. What is the biggest value in t, 4, -2, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(7\/686*-7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/16 and 89\/8458?\nAnswer: 67664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -4, -70, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -d830?\nAnswer: -d82f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -135?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -50*o + 94*o - 60*o. Let n(v) = 3*v + 4*v - 16*v + 8*v. Determine n(t(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -374, -910, -1810, -3086, -4750, -6814, -9290?\nAnswer: -12190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*g + 32. Let j(l) = -17*l**3 + l + 2. Let y be j(-1). Calculate the greatest common divisor of y and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -48.8. Let p = -0.877 + 0.977. Which is the closest to p? (a) 2\/5 (b) m (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-8)\/(2 - -2). Let m = 170 - 84. Suppose -5*p + b = -98, -h*p - b = 2*b - m. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(5) - (sqrt(125))**2*-1) + (sqrt(20)*-5 - sqrt(5)).\nAnswer: -10*sqrt(5) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*f - 218*f + 116414 - 116442.\nAnswer: f - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2541 + 4337. Let y = 472466 - 2823979\/6. Let s = m - y. Calculate the common denominator of s and -87\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*x + 720 = -101*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 4*z - 147. Let d = z + -14. Let c = d - 25. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -182, -183, -184, -185, -186?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118 or -103994\/885?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0*s. Let b(w) be the first derivative of 1\/2*w**2 + 0*w**4 + s*w**3 - 1\/3*w**6 - 1 + 0*w**5 + 0*w. Find the second derivative of b(c) wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1290626138 and -0.2.\nAnswer: -1290626138.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -8*h**3\/3 + 71*h**2 + 36*h - 223. Factor v(g).\nAnswer: -2*(g - 18)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 35?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -44*g**2. Let j(y) = 6*y. Give c(j(i)).\nAnswer: -1584*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 102*v**2 - 11 - 107*v**2 - 12*v - 21*v + 208*v**2.\nAnswer: -v**2 - 28*v - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1237.6739 and -0.3.\nAnswer: -371.30217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-1)\/(-60)*((-6)\/3)\/2.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.4 - -1.6. Let x = -9 + p. What is the closest to -2\/7 in 3, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291460\/(-16055) - (11\/13 - 1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**6\/120 - 7*m**5\/60 + 3*m**4\/8 - 5*m**3\/2 + 10*m**2. Let o be j(6). Find h such that -o*h + 3*h**2 + 0*h - 3*h + 3*h = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 7:43 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1995\/2 + 9981\/10. Which is the closest to 0.1? (a) -1 (b) -1\/23 (c) -3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163909*g = -164120*g + 26586 for g.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -272 - -2990\/11. Let b = -14\/9 - -19\/18. Is b <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 4442519.\nAnswer: 355401.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1736 and 6696.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 546140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-198)\/(12 - 34) + 15239?\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**5\/60 - 13*q**4\/6 - 109*q**3\/2 - 159*q**2. Is l(-29) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 224100313?\nAnswer: -224100243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*x = -10, 4*x - 1013 + 1002 = -5*j. Find g, given that -4\/5 + 3\/5*g**2 - 2\/5*g**j - 1\/5*g**4 + 4\/5*g = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280602015 to the power of 1\/4, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 s, and 1 j when four letters picked without replacement from {j: 1, k: 3, u: 6, n: 3, s: 3}.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**4\/7 + 123*v**3\/7 - 3*v**2\/7 - 123*v\/7 = 0.\nAnswer: -41, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14817 (base 14) to base 7.\nAnswer: -301430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*z**4 + 399*z**3 - 2*z**2 + 8654?\nAnswer: 8*z**3 + 1197*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**3 + 38*k**2 - 622*k + 6415. Give w(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*m + 2, -2*m = a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88 + 93. Solve -k = 5*l - 0*k + 20, 4*l = j*k - 45 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 = 2*b + 95. What are the prime factors of b?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 2:42 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1044 and 56956?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in 41, 123, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x. Suppose x = -r + 7 - 2. Suppose r*q - 2*p = 101, q - 2*p - 23 = -3*p. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1674 divided by -186?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 - 2*x**4 - 4*x**3 + 4*x**2 + 2*x - 2.\nAnswer: 2*(x - 1)**3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q**2 - 3*q + 1. Let g be d(-2). Let r = 21 + g. Let m = 9 + r. Solve 0 = -5*x - 3*i + 1, m*i = -2*x + 2 - 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - p**2 + 5*p + 4. Let z be q(0). Suppose 0 = -2*m, z*y = 2*m + m - 4. Which is the second smallest value? (a) 0.4 (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -2*z - 4*v + 35, -47*z = -47*z - 2*v + 6 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**(-12))*n*n\/n**7*n assuming n is positive.\nAnswer: n**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-23 + 17 - 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13864969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.28 + 0.2755. Let m = u - 0. Round m to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145\/2 + -72. Which is the nearest to 1\/3? (a) -3 (b) -1\/2 (c) -0.1 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002168 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2*o**4 - 2*c**2*o - 421971*c*o**4 + 13563*c*o**2 - 3*c*o + 2*o wrt o.\nAnswer: -24*c**2*o - 10127304*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8) - ((-76)\/8 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -17 (b) -0.4 (c) 0.12 (d) 1 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115088?\nAnswer: 2, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517229 is divided by 303412?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3\/2*p**2 + 45\/2*p + 75 = 0.\nAnswer: -10, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, -216, -733, -1740, -3399, -5872?\n\"Answer: -27*a**3 - 2*a**2 + 6*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.9396703 to three decimal places.\nAnswer: 14.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3466 minus 88305254.59?\nAnswer: -88301788.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30294 and 93550626?\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4415, -0.4, 6, -3?\nAnswer: -4415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {i: 1, y: 3, a: 1, e: 3, h: 6}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 5*q**2 - 512*q - 1552. Give t(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4830827 is divided by 8119.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -197891\/18996 - -4\/4749. What is the common denominator of -57\/14 and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukucukuucuku. What is prob of picking 1 c and 2 k?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -288558 (base 16) to base 9\nAnswer: -4886680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129081 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 18.45995 millilitres?\nAnswer: 0.01845995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/10 - 201*o**2\/5 + 26208*o\/5 - 1116416\/5.\nAnswer: (o - 178)*(o - 112)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12197*h - 12201*h - 2*l - 26, -5*h - 5*l - 35 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 1 - 0\/9. Let k be 0*(-4 - 3\/(-1)). Let v be k - 2 - (0 - 4). Calculate the greatest common factor of m and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -218 - 1673 + 549*a - 2309 - 575*a - 2918*a wrt a?\nAnswer: -2944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*n + 284 - 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 691076302 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 9:03 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 + 0.92. Let s = 85 + -88. Which is the smallest value? (a) s (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1735234 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + 4.3. Let z = -11 - -10.7. Let c = -0.5 - z. What is the nearest to c in p, -2\/5, 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5*g**3 + 0 + 0)*(5 - 5 + 1).\nAnswer: -5*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acparccaeaaeprrrarae. Give prob of sequence ar.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-13 - (-114)\/6). Solve 3*n + 8 - i = 0, o - 1 = 3*n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 306461281?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-14 + 11 + 12 - -2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1143136 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 587 - -47929?\nAnswer: 481b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k - 1 + 7*k - 1. Let l(a) = -4*a + 2. Suppose 121*j = 524 - 887. Calculate j*f(q) - 2*l(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4132803*j**5 - 719495*j wrt j?\nAnswer: -82656060*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 1 = 2*i - 3*k, 2*k = 3*i - 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -268, -266, -264, -262?\n\"Answer: 2*s - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1528*g - 1550*g + 88. Solve -5*p + u = -10, 16*p + g*u = 13*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/(-30))\/(2\/12))\/(-9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.38503 + 0.387. Let c = -0.0018 + v. What is c rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 9 = 2*z. Suppose z*s = -4*t + 20, 3*t + 2*s - 18 = -4. Find o such that -2*o**3 - 2*o**4 + 4*o + t*o**2 - 2*o + 0*o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19751*d*q - 997*q - 3 wrt d?\nAnswer: 19751*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 5. Give d(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(-4 + sqrt(12))*3 + (sqrt(1500) - -1*sqrt(1500))\/sqrt(5) + 0)**2.\nAnswer: -360*sqrt(3) + 2073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 5)*(2 - -5 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9*v*v*v**(6\/13)\/v)\/((v\/v**(2\/29))\/v*v**(5\/2)) assuming v is positive.\nAnswer: v**(6055\/754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 90 = 5*l, 14*b - 22 = 10*b + 3*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29526926 at most as big as 29526927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 413 + -389. Let c be 0*(2 - 54\/q). Let v = -0.02 + -0.28. Sort -3\/7, 1, v, c in decreasing order.\nAnswer: 1, c, v, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 - 9*o - 4. Let x = -49 + 42. Let p be d(x). Let h = -82 - p. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8350 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 15*p**2 - 52*p + 16. Let a be w(10). Sort 1, -39, a, 5 in descending order.\nAnswer: 5, 1, a, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123 - 130.1. Let h = 176 + -178.1. Let i = h - q. What is the smallest value in i, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + (-19516)\/(-2450))\/((-12)\/(-84)).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.01399 millennia?\nAnswer: 401.399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + -41 + 312878\/4234?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2\/6 + 40895*f - 1718080\/3.\nAnswer: 5*(f - 14)*(f + 49088)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(140) + 1*sqrt(140)))\/(sqrt(36)*5))\/((sqrt(200)\/(sqrt(25)\/sqrt(5)))\/sqrt(8)*-5).\nAnswer: -2*sqrt(7)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 269942*x + 269943.\nAnswer: -(x - 269943)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2616216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/59 and -97\/4.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3267 divided by -27.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -633 - -1293\/2. Let t = 13 - s. Let n = -41 - -202\/5. Sort n, t, -0.4 in decreasing order.\nAnswer: -0.4, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*s**3 + 712*s**3 - 309*s**3 - 7*s.\nAnswer: 61*s**3 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(112\/6) + (0 - 10\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 6) in base 7?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 675, 3574, 8403, 15162, 23851?\n\"Answer: 965*y**2 + 4*y - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69579 = 3*r - b, 19629 = 4*r - 3*b - 73148. What are the prime factors of r?\nAnswer: 2, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 1\/(-3 + (-336)\/(-111))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1835 from 13.62864661.\nAnswer: -1821.37135339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4669838 to the nearest integer?\nAnswer: 2161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5241 (base 12) to base 10.\nAnswer: 8977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.9927 and 1123.5.\nAnswer: 1121.5073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.7 - -10.7. What is the biggest value in -2\/3, -3, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -28?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/7 (b) -1\/2 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -0.030093438.\nAnswer: 4.969906562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 2*y**2 + y - 1. Let f(o) = 6*o**3 - 11*o**2 + 6*o - 4. Let a(h) = -11*d(h) + 2*f(h). Let t(x) = 2*x**3 + 2. Give 2*a(s) - 3*t(s).\nAnswer: -4*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 371810695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148701*k - 34 = 5*y - 148700*k, 3*y = -7*k - 46 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knkscfo. What is prob of sequence kfn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -4, -3760, 1 in decreasing order.\nAnswer: 4, 1, -4, -5, -3760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-4)\/((-16)\/(-3)). Suppose -4*x + 28 = 4*j, q*j + 0 + 4 = 2*x. Let s be 0*2*(-2)\/8. Solve -v - 2 = -2*p + v, -4*p + x*v + 3 = s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.7, 0.8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.7375 - 9.8. What is w rounded to 3 dps?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2\/13 + 9457520*j\/13 - 18915048\/13 = 0.\nAnswer: -4728762, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (984\/(-2460))\/(94\/10)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40524604 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: Let x(k) = 3*k**3 + 10*k**2 - 9*k - 44. Give x(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v**2 - 27*v. Let i(b) = -11*b**2 + 25*b + 1. Give -3*i(g) - 4*t(g).\nAnswer: -7*g**2 + 33*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 685186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10601*h*q + 2711*h - 26513313*q + 1 with respect to h.\nAnswer: 10601*q + 2711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15.6 (b) 5 (c) 1.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6 - 4 + 20 + 10*p - 1 - 6. Give n(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 u when three letters picked without replacement from {u: 3, g: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51541, -51529, -51509, -51481, -51445?\nAnswer: -51401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17069\/11 - 1554. Let n = 410\/13 - 3671\/130. Let q = -169\/30 + n. What is the common denominator of q and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by -2681\nAnswer: -130\/2681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + (-28)\/(-21))*3*-2. Put 5, n, 3 in decreasing order.\nAnswer: 5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 4*i - 12. Differentiate -9*z + i*z**3 - 1 + 9*z wrt z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5076*f**3 - 2*f**2*j - 5*f*j - 2644*f wrt f.\nAnswer: 30456*f - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 27. Let t be (-24)\/(-15) - (-2)\/5. Suppose 4 = 2*s - t. Solve -z*k - 5 = -s*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 1082602?\nAnswer: 9743418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -6 + 5 + 9 + (-32 - -8).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 - 2.09. Let l = -19.6 - u. Let r = -17 - l. Which is the second smallest value? (a) r (b) -4 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = p - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((25 - 5) + -19)\/(2\/(-4)). Let z = -0.1 + 0.1. Let i be 3 + (-5)\/((-20)\/(-6)). Sort z, v, -1, i in decreasing order.\nAnswer: i, z, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 3. Suppose -2 = -5*s + 2*o, 0*s = s - o + 2. Let a(m) = 10*m**2 - 4*m**2 - 3*m**2 - 4*m**s - 1. Determine 6*a(z) + 2*g(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 84, 5, -3\/2, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 at least -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40822.\nAnswer: 2, 20411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 525202960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 203708 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2 + 8*m**4 - m + 0*m**4 - 8*m**4 - m**4 + m**3 + 3*m**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 20*s + 14. Suppose -3*c - 54 + 24 = 0. Let q be v(c). Calculate the greatest common divisor of 28 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15368 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z + 2. Let g(h) = -6*h + 1. What is -4*a(s) + 6*g(s)?\nAnswer: -12*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 12) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01341102 + 1554.262.\nAnswer: 1554.27541102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 + 2.92. Let z = 419.81 - 1.81. Let r = z - 417.96. Sort -4, -1\/5, r, v in ascending order.\nAnswer: -4, -1\/5, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166 + -160. Calculate the lowest common multiple of 92 and k.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1275, 1341, 1451, 1605, 1803, 2045, 2331?\nAnswer: 2661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8432941 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*y - 196394965, -5*s + 11852089 = 4*y + 208247061. What is s rounded to the nearest 100000?\nAnswer: -39300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6525939 greater than or equal to 6525924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-3)*27\/6. Is ((-35)\/15)\/(2\/t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + 22. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*d - 19509 - 33613 + 7513 = 0 for d.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14)*54\/(-27).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 447981\/10 - 44714. Let u = n + -84. Which is the second biggest value? (a) u (b) 0.5 (c) -2\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 - 20*d + 240. What is the thousands digit of y(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-150 - -140 - (-18 - (3 + -4))) - 58?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38772, 77541, 116310?\n\"Answer: 38769*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 147000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72758 - 35154. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-144)\/(-18) - 186\/24. Suppose -2*r = -3*p + 19, -4*r = 3*p - 0*r + 11. Which is the nearest to m? (a) 2\/7 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14806 + -74027\/5. Sort -46.8, 0.4, -0.3, l in descending order.\nAnswer: l, 0.4, -0.3, -46.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -20*j**4 - 235*j**3 - 120*j**2 + 485*j - 110 = 0.\nAnswer: -11, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 - 10709*u + 10709*u - 4*u**2 + 818.\nAnswer: 2*u**2 + 818","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131.4 + -70.5. Let y = 61 - h. Let j = 61 + -245\/4. Which is the nearest to 1\/2? (a) j (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 28 = -4*q, -2*x + x + 35 = -5*q. Let o = 26 - x. Is o\/(-10)*-5 - -464 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + 6*r**2 + 7*r + 4. Let o be t(4). Is o <= -8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/58 and -32\/5?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5183757 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: Let v = -0.429 + -16.471. Let z = -21.9 - v. What is the smallest value in -3, 0.06, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*m, -2*h - 5*m + 38 - 2 = 0. Which is the nearest to 57\/17? (a) 2\/13 (b) -1\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93df8b (base 16) in base 11?\nAnswer: 551a008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 21\/(-14) - ((-2280)\/1248 - 1\/(-13)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/5)\/(-1*(-5)\/(-150)). Let o = 58 + g. Calculate the greatest common factor of o and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5131 + 203*m**2 - 2538 - 2593 - 210*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1372)*2)\/(sqrt(8)\/sqrt(242))*6*5 + 3.\nAnswer: 3 + 13860*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25625 by 5125.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 10*m**3 - 66*m**2 - 57*m - 831. Let o be w(-71). What is o rounded to the nearest 10000?\nAnswer: -3910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62604 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -5 - ((0 - 2) + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3446, 13303, 29732, 52733, 82306, 118451, 161168?\nAnswer: 210457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 7?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 305 - 293. Solve -v = -5*s + 11 + m, 4*s - 3*v - 14 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10444*l + 950400. Give y(-91).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -937260 rounded to the nearest one thousand?\nAnswer: -937000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 13*t**3\/6 - 11*t**2\/2 + 3*t. Let m be z(5). Suppose 4*j - 14 = m. What is the greatest common factor of j and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.26 * 246.593.\nAnswer: -64.11418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31095 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 + 7*v - 1. What is the units digit of m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.000014 + -11. What is i rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 + 4*v**2 - 3*v + 5. Let p(y) = -2*y - 15. Let a be p(-7). Let b(i) = -i**2 - 1. What is a*o(f) - 5*b(f)?\nAnswer: 2*f**3 + f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, 14, 14, 26, 56, 110, 194, 314?\n\"Answer: b**3 - 3*b**2 - 4*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9335*r**2*y**3 + 3*r**2*y**2 + 1467*r**2 - 4*y**3 wrt y?\nAnswer: -56010*r**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8) + 19\/(-76). Solve -5*n + 5 - 15 = r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 12:10 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o. Let v = -26279\/60 + 438. Let p(t) be the third derivative of -v*t**5 + 2*t**2 + 0*t**4 + 0*t + 0*t**3 + 0. Determine z(p(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37280*u**2\/3 + 16196*u\/3 - 3976\/3 = 0. Calculate u.\nAnswer: -142\/233, 7\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124679 by 4.\nAnswer: -124679\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*v**3 + 181*v**3 + 186*v**3 + 186*v**3.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/14 and 25\/1112.\nAnswer: 7784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (231\/(-63))\/(3\/(-9)*1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-3 - (6 - 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*g**5 + 12\/7*g**4 + 0*g**2 + 0*g - 18\/7*g**3 + 0.\nAnswer: -2*g**3*(g - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2277 and 1012?\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888 is divided by 268.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/5 - (-36)\/(-90). Solve -k - 9 = f*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*f - 71*f - 7 = 0. Calculate the remainder when 16 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.2 (c) -3 (d) 5683 (e) -0.5 (f) 3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 5. Let q be b(-7). Suppose 5*i - 11 = q. What is the least common multiple of i and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16354 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*sqrt(3)*-2 - (-5 + sqrt(75)*4)**2.\nAnswer: -1221 + 204*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = l + 7, -17*l - 28 = j - 13*l. Solve 2*o - v + 4 = j, 5*v + 7 = -5*o - 33 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -5. Let o(m) be the second derivative of m**4\/6 - m**3\/3 + m**2 + 23*m. Let y be o(g). What is the smallest value in y, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-10 + 15 - 9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 4*n**2 - 2*n - 4. Let w = 33 + -30. Let r(p) = -p**3 + 3*p**2 - p - 3. Give w*s(d) - 4*r(d).\nAnswer: d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3827)\/(-301) + -13 + (-149)\/(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 5*m - 8. Determine d(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l. Let h(m) = 7*m + 5138 - 5138. Give h(t(s)).\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, t: 3}. Give prob of sequence yyt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d - 11. Let j(o) = -o + 1. Let a = 592 - 587. Give a*j(s) + m(s).\nAnswer: -2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/11 + 151*q\/11 - 2394\/11.\nAnswer: -(q - 133)*(q - 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjoj when four letters picked without replacement from {s: 8, j: 4, m: 1, o: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b0 - -2?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000885239 rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6. Solve -2*x - i + 6 = h, -5*i = -x + 2 + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -2475\nAnswer: -2475.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 5*g + 9. What is f(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i = 3*o + 17, 2*i = o + 7. Suppose -i*s = -f - 332, 61 = s + 2*f - 31. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 + 5*m**3 - m**3 + 7*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (-8)\/(-6)*1*3 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1378 - 12?\nAnswer: -1390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 21*u - 18. Let f be m(-20). Suppose 6*v = f*v + 184. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjchjcxjjxxjxjjxjhjr. Give prob of sequence jjjr.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (30\/4)\/((-18)\/(-240))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 27. What is the nearest to -2 in -3\/2, 5, h?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 6\/3 + (-3958)\/1982 + 5. Which is the second smallest value? (a) -3 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(1*sqrt(176)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3)*((5 + 2)*-1 + -1571). Calculate the greatest common factor of 4 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let o(i) = 18*i + 104. Let y(r) = -o(r) + 3*u(r). Let t be y(-7). Let z be (2\/(-45) - 0)*-3. Do z and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*-1 - sqrt(77))\/((sqrt(11) - (sqrt(11) - (sqrt(99) - sqrt(11))))*2).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106000?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 7*d**2 + 9*d + 3. What are the prime factors of z(9)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114\/77 - 21\/11. Let h = 14.02 - 0.02. What is the nearest to -0.1 in h, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 - 82*o**4 - 2341*o**3 - 27060*o**2 - 108900*o.\nAnswer: -o*(o + 11)**2*(o + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8740 - 8833. Sort 1, -5, 5, x, 4 in decreasing order.\nAnswer: 5, 4, 1, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*k = -1948 - 15953 - 3627. Calculate the highest common factor of k and 1978.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.075 * -3.3\nAnswer: 0.2475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/12*79*(-135)\/1493100?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*x = 133*x + 103 + 87 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-2)\/12)\/((-246)\/(-369)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(2\/63)*s)\/s))\/(s*s**(1\/8)*s)*s**(-3\/2)\/(s\/(s*s\/(s*s**(2\/23)))) assuming s is positive.\nAnswer: s**(-31805\/11592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 2. Let k be y(-3). Let v(g) = 17*g**2 - 217*g - 218. Let t be v(-1). Suppose t = -i + k*i. Solve -7*z + 3 = 3*j - 2*z, -3*j = -i*z - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 27.000019. Round u to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*s**3 - 27*s**3 + 8*s**3 + 4*s**3 - 463 to r*s**2 + m*s + i*s**3 + o and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*f - 25 = -55*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*z + 109 + 405 = 0, 5*u - 5*z = -1300. Let g = -97 - u. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305174189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*i**2 - 54*i**2 - 60*i**2 - 57*i**2 - 3*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6512981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) + (-24)\/(-32). Let c be g\/(-4)*(6 - 6). Let k(h) = c*h**2 + h**2 + 5 - 5. Let o(t) = -t. Calculate k(o(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.5, 2\/7, 8315.62?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1413*u - 1139. Is c(32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 28. Suppose y = -0*x - 2*x + 15, x = -2*y + 6. Which is bigger: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18585\/5782)\/((-10)\/(-7)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-97 - -92)\/((-2)\/(-16)*-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56382?\nAnswer: 2, 3, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -229 - -767. Let n = o - 22. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4\/(-64)*0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 + 1. Let v = 28 - 17. Let m = 11 - v. What is the closest to m in 1\/4, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 2*d**2 - d - 1. Let x = 45 + -45. Suppose x = -j + t - 2, 4*t - 6 - 8 = j. What is the remainder when j is divided by r(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148.28 * 7325.\nAnswer: 1086151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 10*i + 2. Let h be f(7). Let u be 22*(2 - 1)\/1. Suppose 0 = -q - q + u. What is the highest common factor of h and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*k - 71*k + 288*k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571360.\nAnswer: 2, 5, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15804924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29, 79, 171, 311, 505, 759?\n\"Answer: q**3 + 15*q**2 - 2*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 19*k + 133. Let r be x(-7). Suppose 2*w + 0*d + 4424 = 3*d, -3*w - 2*d - 6649 = r. What is w rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -4 + 0*h + 1\/3*h**3 + 0*h**2. Let l(k) = 6*k**2. What is l(r(y))?\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414712.9 centuries to months.\nAnswer: 497655480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-2714 + 1 + 4). Suppose -3*l - 18*l = -t. What are the prime factors of l?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66\/5 + -1062\/85. Let m = u - 2\/51. Factor 0 - 2\/3*x**4 - m*x**2 - 4\/3*x**3 + 0*x.\nAnswer: -2*x**2*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -68. Let i(a) = 8*a - 43*a - 3 + 8 + w. What is the units digit of i(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 266. Let b = 102 + y. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 8 = 14*c + 19. Let w(v) = 3*v**2 + 2*v + 1. Determine w(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596 is divided by 99.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2053.215782 less than 868?\nAnswer: 2921.215782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 24 = -84. Suppose 9*q - o*q = 70000. Round q to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -518c5 + 5?\nAnswer: -518c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(208) - sqrt(208))*2 + sqrt(208))*5)**2 + 4.\nAnswer: -800*sqrt(13) + 5604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 982768 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 234\/(-585) - (1 - 1429993\/(-5)). What is i rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -9 + (5 - 0) + (-300 - -300)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -515.8 - -5.\nAnswer: -510.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91655 by -115.\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**2 - 79*f + 346. Give v(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) 0.8 (c) 3.3 (d) 6 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89986678 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-349)\/7 - 171768\/(-3368)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 5*c. Let j(a) = -14*a**3 - 22*a + 10. Give -j(x) + 4*w(x).\nAnswer: 10*x**3 + 2*x - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2225.582 millilitres?\nAnswer: 2.225582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2150 + 1529 + 1503)*(29*p + 2 - p**2 - 29*p).\nAnswer: -882*p**2 + 1764","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 9*q**2 - 8*q - 2. Let r be o(8). Let f = 17 + r. Suppose f = 5*t - 4*t. Calculate the greatest common factor of 120 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4470334 is divided by 372507?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*n - 695*n + 70 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-4)\/80*8\/(-330)*280\/168\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -111111010010000110 (base 2) in base 9?\nAnswer: -434506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3097 + 4319 + 41412 + 51230 = 2042*q for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3821246.\nAnswer: 2, 11, 13, 31, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2176 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 176031, 176043, 176071, 176115, 176175, 176251, 176343?\n\"Answer: 8*b**2 - 12*b + 176035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(19)*3 + (sqrt(19) - ((sqrt(19)*2)**2 + 4)).\nAnswer: -80 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -2*z**3\/3 + 63. Let k(b) = -25*b**2. Calculate k(n(v)).\nAnswer: -100*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1378 = 95*p - 1395 + 493 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -1.9326?\nAnswer: 13.5282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 u when four letters picked without replacement from jjjujjutjjupjujuj?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126\/(5*6\/40) and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 55. Which is the nearest to d? (a) 4\/7 (b) 0.3 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 16*w - 9. Determine s(5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from {b: 3, u: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - c = 5 + 4, -16 = 4*c. Suppose -5*d = -5*m, -3*m - 5 = -5*d + a. Solve m*j - 2 - 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 979 - 444. Let d = y + -535. Solve 4*x - 16 = 0, -4*l = x - d*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*k**3 + 219*k**3 + 3486 + 223*k**3 - 659*k**3 - 3486.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131 + 145. Suppose l - 3*l + 2 = 0. What is the remainder when k is divided by l + 5\/((-5)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*x + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*q - 343 + 271 = 0. Put 4, 1, 219, q in decreasing order.\nAnswer: 219, 4, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.9481903*4\nAnswer: -71.7927612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 2\/3*y**3 + 0*y**2 + 0*y + 1\/4*y**4 - 2. What is the third derivative of i(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + 7*o**2 + 11*o - 11. Let i be n(4). Let q = i - 3. What is the remainder when 62 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**3 + 2*j - 1. Let b be 0 - 1666\/(-8) - (-14)\/(-56). Suppose -5*r = -r - b. What is the remainder when r is divided by t(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7919 - -7923. Solve -2*v - 4 = -u - 3, 4*u - t*v = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 3. Suppose 6*m + 25 = m. Let h(b) = 3*b**2 + 1 - 3 + 3*b - 2*b**2. Let z(g) = m*h(g) - 4*c(g). Factor z(f).\nAnswer: -(f + 1)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 20862.\nAnswer: 354654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 + 32\/5. Suppose 2*d + 10 = -t. Which is smaller: d or -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzff when four letters picked without replacement from tfzzzaaftzfzfzzfz.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.13, 0.2, -0.205?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540001 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 - 4*c**3 - 4*c**3 + (2*c - 2*c - 2*c)*(-3*c**2 - c**2 + 5*c**2) in the form j*c + o*c**3 + p + g*c**2 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5827204 divided by -78746?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 154 and 19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, i: 14}. Give prob of sequence in.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -62*i**2 + 6*i - 40. Let l(g) = 275*g**2 - 25*g + 161. Give 9*h(u) + 2*l(u).\nAnswer: -8*u**2 + 4*u - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 455.058705 to the nearest 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115 (base 8) in base 13?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106944 is divided by 1525.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 5*y - 3*y + (4*y + 0*y - 2*y)*(3 + 1 - 2) + 4*y - y - 4*y)*(47*y**2 - 47*y**2 + 7*y**4).\nAnswer: 35*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 7. Let s = 4 + n. Which is the biggest value? (a) s (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/8*(10 + -2). Let b be (-2)\/4*80\/(-5). Calculate the remainder when 39 is divided by (14 - 4)\/(a\/b).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9623274kg to tonnes.\nAnswer: 0.0009623274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 10. Let m be u(-9). Let o be (2\/8)\/(6\/m). Which is the closest to -0.2? (a) o (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46420000 rounded to the nearest one million?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.7? (a) 2 (b) -2 (c) -2\/19 (d) 1 (e) -153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*b - 6736 = 3016. What is the greatest common divisor of 12 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*k - 5 = 0, -7*h = -3*h - 2*k - 24. Suppose -5*b - x + 57 = -48, -3*x = h*b - 115. Differentiate 16 - b + 8 + w with respect to w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 152495 or 152494?\nAnswer: 152495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317645, 317671, 317711, 317771, 317857?\nAnswer: 317975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804192627.\nAnswer: 3, 7, 38294887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -15*s + 6*s. Is (-20)\/s + (-9550)\/(-7) + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7496356*a + 6865019?\nAnswer: 7496356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 154 - 157. Let m be ((-1 - s)\/6)\/((-25)\/50). Which is the fourth smallest value? (a) m (b) -0.1 (c) 5 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136479 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12068317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -72098, -72097, -72096, -72095?\n\"Answer: l - 72099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/5309 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (1 + 12 + -6 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2518331572 to the power of 1\/2, to the nearest integer?\nAnswer: 50183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 18 = -4*x, 2*x - 3*s = -2*x - 7. Solve -5 = -f, -5*f - 1 = -4*b - x*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 588 or 72?\nAnswer: 588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1085*b - 1064*b - 315 = 0 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 4*sqrt(891))*1 + (-2 + sqrt(891))*-4)*-5*-4.\nAnswer: 160 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4567037*t**2 - 107*t - 2541 wrt t.\nAnswer: -9134074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 960\/(-75) + 13 - 741028\/(-10) a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 26. Let f be ((-3)\/(-108) - 2\/n)*284. Suppose 2*a = 83 + f. Calculate the greatest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - 24. Let t = s + 373\/6. Let v be 0 - 1*2\/(-2). Is v > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-33) - 0 - 27\/88?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 - 70. Let f be -2 + c + 7 + -1. Solve -3*v - 7 = -4*q + 1, -2*v + f*q - 5 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7474.6301 to zero dps.\nAnswer: -7475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -w. Suppose 3*f - 156 + 53 = -w*z, 2*z - 64 = -4*f. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**4\/4 + 7*k**3 - k**2\/2 + 23*k - 367. Calculate u(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 2, j: 1, w: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 713137114 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*q + 76031 = -781*q + 10833 - 59932 for q.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 1.527?\nAnswer: 1.527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -116*l + 126*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*q = -5*p - 122*q + 80, 3*q - 55 = -5*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**5\/120 + l**4\/8 + 37*l**3\/36 - 55*l**2\/4 - 23*l + 18. Factor c(n).\nAnswer: -(n - 11)*(n - 3)*(n + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83989830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 770.4162ml in litres?\nAnswer: 0.7704162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 127.2107us?\nAnswer: 0.0001272107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -2*t**2 + 0 + t**3 + 4*t - 1\/12*t**4. Determine d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(65) + sqrt(65) - sqrt(65))*3 - sqrt(65))\/sqrt(5).\nAnswer: -13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from tepeobbteepptebe?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-324)*27)\/((-150)\/(-3))\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14392 - 14392.052. Suppose -4*r + 8 = 0, 19 - 2 = 3*o + 4*r. Which is the second smallest value? (a) o (b) z (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0165190059 to 5 decimal places.\nAnswer: 0.01652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**2\/7 + 305538*d\/7 = 0.\nAnswer: 0, 152769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 1. Let j = 3.83 + 0.17. Let v = j - 5. Which is the closest to y? (a) 1\/2 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 24588?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -3002 and -3002 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 212764*u**2*z**3 - 39*u**2*z + 180*u**2 + 165*u*z - 76*z**3 + 2*z - 2 wrt z.\nAnswer: 1276584*u**2*z - 456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 2:49 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**3 - i. Let m be z(1). Let q = 1 + -0.9. What is the closest to m in q, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6871197779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/25739889 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1096\/(3 - (-2 - -4)). Suppose t = b - 3625. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 + -2*(0 + -10) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*c - 33. Sort 7, 13, c, -1 in increasing order.\nAnswer: c, -1, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1669154877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4922.946l?\nAnswer: 4922946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -17384*p**3 + 10*p + 12 - p - 4*p**4 - 17379*p**3 + 34761*p**3 - 3*p**4 + 4*p**2 as j*p + s*p**3 + x*p**2 + l*p**4 + c and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 12*l**3 + 5*l**2 - 40*l - 1. Let p(g) = 47*g**3 + 21*g**2 - 167*g - 5. What is -25*d(o) + 6*p(o)?\nAnswer: -18*o**3 + o**2 - 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7))**(1\/72)\/((w*(w**(2\/5)\/w)\/w*w)\/w)**(-15) assuming w is positive.\nAnswer: w**(-2267\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 14612 = -5*s, -20*s = -w - 15*s + 3628. Is w a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44323 is divided by 19936?\nAnswer: 4451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 66540 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -329*(-13 - 783\/(-63)) and 8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22300899 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 779*0.132.\nAnswer: 102.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/2261688 and -73\/3432?\nAnswer: 2261688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**3 - 9*j**2 - 28*j - 42. What is p(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*q - 537020, 5*i - 985600 + 90610 = -2*q. What is i rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*z = 0. Solve 3*r + 15 = -z*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 261*a**2 - 1039*a**2 + a**3 - a**3.\nAnswer: a**3 - 778*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13644.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -75, -57, -33?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50528 is divided by 2490?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in -9, 2\/147, -1?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -4 - (-21 - -19)) + (2 - 16)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44456 is divided by 6196.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f - 2. Calculate the remainder when o(-11) is divided by 5\/(-2)*(-966)\/105.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 4) to base 14.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.031 from 1078.\nAnswer: 1077.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = -c + 9*c. Let x = 22 + c. Suppose p - 94 = -x. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1)*(0 + 3 - 4)*(-13 - 6*k + 3 - 8) as q + f*k and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/19 - 115\/323. Let u = 2 - 3. Let m = u - -0.5. What is the smallest value in g, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*l**5 - 41*l**4 + 473*l**3 - 282*l**2 + 82*l - 53?\nAnswer: -4980*l**2 - 984*l + 2838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430*o - 514*o + 11 + 87*o.\nAnswer: 3*o + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/339 in 4\/3, 1\/8, -3, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1812838023?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1402 divided by -2.\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b - 3. Let y(l) = -l. Let h(a) = j(a) - 6*y(a). Let z be h(2). Let f be (z - 0) + 1 + -6. Sort 0, 4, f.\nAnswer: f, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-2)\/24*6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1183815920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*i**2 - 2*i**4 - 28*i**3 + 2*i + 41*i**3 + 10*i**2 as f*i + a + l*i**4 + m*i**3 + u*i**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -175 - 2399?\nAnswer: -2574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 5)*1\/(-2). Suppose r = -3*a + 7*a + 8, 0 = -5*b - 4*a + 12. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 20 = -5*b, 0 = 4*b + 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -19*l + 24*l. Suppose 7*v - 203 = 6*v - 3*u, -2*v - l*u + 406 = 0. List the prime factors of v.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - i - 9397 = 0, -3*v + 3149 = -2*v + 3*i. Find the second derivative of -7*t + 3134*t**2 + 18*t**3 - v*t**2 wrt t.\nAnswer: 108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -266 + 293. What is the greatest common divisor of o and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4362.\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*f + 58 = 0, 3*f + 29 = 5*u + 107. Calculate the remainder when (1 + (-55)\/u)*18 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.7665 + -4.7065. Let z = -5 + -7. What is the second biggest value in 0, z, -3\/4, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 6*t - t - 170, 14299*u - 14303*u = -5*t - 112 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 3*f + f)*(18*f + 5*f**3 - 18*f) + (3*f**2 - 3*f**2 - 2*f**2)*(-3*f**2 + 2 - 2) to m*f**4 + w*f**2 + j*f**3 + q + b*f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 9*s = 129, 0 = 39887592*f - 39887592*f + 2*s - 22 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 22 = -33*d, 3*p - 79469*d + 79472*d - 12 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 + -7.2399?\nAnswer: 259.7601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*((-2)\/42)\/((-13)\/(-234)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-3)*z)*(z**(9\/4)*z)\/z*(z\/(z*z**(-2\/5)))**(-3) assuming z is positive.\nAnswer: z**(81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6632077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8528568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99648265?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 237866417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 - 19*d + 56. Let r be n(-12). Which is the nearest to r? (a) 2 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17475)\/(-20)*-1*(-16 - 0). Let y = 29749 + m. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/12*3*234. Let b = 14 + 12. Calculate the greatest common divisor of h and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -279, -1950, -6479, -15294, -29823, -51494, -81735, -121974?\n\"Answer: -238*p**3 - p**2 - 2*p - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56499 is divided by 58?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**3 + 354536*a**2 + 354535*a = 0?\nAnswer: -354535, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20820361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10185 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*o + 394, 2*q + 519 - 141 = -3*o. What is the tens digit of (-87)\/(-7 - q\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 16 = f, -111 = 5*d - 5*f - 51 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - w + 0)*(-2 - 1 + 6) + 4*w - 13*w - 5*w)*(-2 - 1 + 1).\nAnswer: 34*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 424644326 less than or equal to 424644325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + 4 + (sqrt(2448)*-3 - (sqrt(17) + sqrt(187)\/(sqrt(121)\/sqrt(11)) - sqrt(17))) + 1))**2 + 2.\nAnswer: -1850*sqrt(17) + 581852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.631 + -17.631. What is the closest to v in -4, 4\/5, 0, 0.081?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*y - 1139 - 2721 = 0, 0 = -3*l + 4*y + 5791. Suppose 4*t - l + 196 = -k, -3472 = -2*k - 5*t. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w. Let m(s) be the first derivative of -7*s**4\/12 + 6*s + 1. Let h(q) be the first derivative of m(q). Give h(d(n)).\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -11*c**2 + 6. Let l(i) = -447*i**2 - 10*i + 233. Let a(t) = 223*t**2 + 4*t - 117. Let p(k) = -5*a(k) - 2*l(k). Give -119*f(y) + 6*p(y).\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172 and (-5)\/(-15*(-4)\/(-216))?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*o - 2*o - 3*o)*(o**3 - 4 + 4) - 295*o**2 + 295*o**2 - 3*o**4 to y*o**3 + f + t*o**4 + i*o**2 + g*o and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 18*u**2 + 2*u - 29. Let o be j(18). Let l(p) = -44*p - 8. Let r(f) = -53*f - 8. Let y(i) = -6*l(i) + 5*r(i). Calculate y(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, l: 17}. Give prob of picking 2 g and 2 l.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159276 + 159276 + 14*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 47*m**2 - 30*m + 171. List the prime factors of k(41).\nAnswer: 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 2*w**2 + 3*w**2 - 20 - 3*w - w**2. Suppose 2*x = 4*x + 16. Is 9 a factor of g(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -20*f. Let o(r) = -3*r**2 - 2*r + 2. Let s(a) = 5*a**2 + 3*a - 3. Let d(u) = 3*o(u) + 2*s(u). Calculate d(z(v)).\nAnswer: 400*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 562*i**2 + 14*i - 14 + 33 - 560*i**2. Determine r(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001142097 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/1233 and -41\/3241221.\nAnswer: 1332141831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(-5 + 3 + 0) + (3 + 0 - 1)*(1 - 4 + 4) + 1 + 0 + 1)*(2 - 2 + g**2).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10509 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -368, -461, -554, -647?\n\"Answer: -93*k - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, r: 2, c: 6}. What is prob of picking 1 c, 1 r, and 2 o?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 5, -4, -33, 43 in ascending order.\nAnswer: -33, -5, -4, 1, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 1\/7 (c) 0.2 (d) -3 (e) 3\/181 (f) 370\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -1\/12, 0.4, 4, 2\/3, -1266 in descending order.\nAnswer: 4, 4\/5, 2\/3, 0.4, -1\/12, -1266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 5*s**2 + 7*s - 3. Let o be c(6). Let q(r) = 3 - 1 + 3*r**o - 5*r**2 + 3*r**2 - 3*r. Calculate the remainder when 22 is divided by q(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -3\/2, 0.1, 32200?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 11*o**3 + 5*o**2 + 984*o - 8. Calculate a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*4\/(-24)*11599988. Suppose 2*p - r = a, -4*a - 5*p - 9276876 = 13923139. Round a to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -172 (base 16) to base 4.\nAnswer: -11302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 14*j - 11*j. Suppose 0 = -0*i + j*i - 16. Is 838\/(-4)*(-1)\/(i\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s**(-6)*(s**(-1))**(-17))**(-3\/5) assuming s is positive.\nAnswer: s**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + f + 1. Let k = 8 - 12. Let g(l) = -6*l**2 + 5*l + 2. Let n(s) = k*r(s) + g(s). Let u(w) = 2*w**2 - w + 2. Determine 2*n(m) + 3*u(m).\nAnswer: 2*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -387420278.8501806042 + -1768027.1498194358. Let t = 389188314 + j. Let q = t - 8. What is q rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.071 + 15.129. What is the closest to a in -2, -4, 3\/4, -4\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 34. Let u be o(0). Suppose 26 + u = 3*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 91. Suppose o = -7 + g. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from zxedd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -304 - -305. Let f(x) = -17*x**3 + x**2 + 2*x + 3. Let j(l) = 18*l**3 - l**2 - 3*l - 4. Let u(p) = -4*f(p) - 3*j(p). Determine u(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221169, 221396, 221623, 221850, 222077?\nAnswer: 222304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107153701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1333 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/191140169 and 13\/34752758.\nAnswer: 382280338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 90614794.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5883 by 593.\nAnswer: -5883\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -23\/215?\nAnswer: -23\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 8) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74750 and -4?\nAnswer: 299000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -161, 14, -105, 5, 2, 4 in increasing order.\nAnswer: -161, -105, 2, 3, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4430562 (base 7) to base 9.\nAnswer: -1021026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -955?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let c be j*(1 + (-9)\/3). Is (c + 4)\/((-10)\/(-125)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 15, -z = -4*l - 0*l - 33. What is the highest common divisor of 26 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x**3 - 2*x + 1. Let l be o(1). Solve 12 = -l*h - 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(8) + 4 - (sqrt(12)*2)\/sqrt(6)) + (sqrt(2) + sqrt(2) + sqrt(98) + (sqrt(98)*1 - sqrt(98) - sqrt(98)) - 3*sqrt(2)*-4))**2.\nAnswer: 112*sqrt(2) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 2\/3 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -3*z - 9, 634*z + 8 = 638*z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 54 = -3*o, 3*w = 2*w. Suppose -o = -n + 4*n. Is -5 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 8c458?\nAnswer: 8c453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 4*l + 4*l)*(l**2 + 2*l**2 - 6*l**2)*(4*l - 1 - 2*l + 0*l).\nAnswer: -18*l**4 + 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + -5 - -11 - (-35 + 17)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 689880395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 6*x + 9*x to c*x + m and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 8*t - 20*t + 9*t.\nAnswer: -3*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j. Let o(u) = 328*u + 48 - 21 - 262*u. Let f be (-2 - 0 - 13)*(-18)\/(-10). Let v(l) = -5*l - 2. Let x(w) = f*v(w) - 2*o(w). Determine x(m(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19216 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 3*m + 4. Calculate u(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-52)\/(-6) + 14\/42. Is 14 a factor of (-8)\/12 - (-447)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + (-3 - -3 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -243, -364, -485?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3534491)\/(-2456) + 1\/(-8) is divided by 76?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -655850254, -655850252, -655850250?\nAnswer: -655850248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*o + 4. Which is the closest to -2? (a) 0.7 (b) o (c) -0.5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 9b6b8a9?\nAnswer: -9b6b8ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j - 9. Let n be l(7). Suppose 20 = -a + n*a. Solve d = -4*d - a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 7:23 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/12 - 4383\/(-12). Let p be -3*(d\/(-15) + 2). What is the tens digit of p - (-2)\/(-3)*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12779967.\nAnswer: 3, 31, 131, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**0)\/k)**42\/(k*k**(2\/3)*k**(-7\/2)))\/(((k*k\/k**1)\/k**9)\/((k*k*k**(6\/7)*k)\/(k**1\/k))) assuming k is positive.\nAnswer: k**(575\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1824 + -1756. What is the highest common divisor of 578 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1112312085 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3202626 divided by -14.\nAnswer: -228759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -144993 at most -5654746\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-6))\/((-2)\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 - -253. Is g a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-150)\/(-22) + 6\/33. Suppose 12 = -3*l + 3*a, -2*a + k = l - 1. Solve l = -5*q + 4 + 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45ba46 (base 14) in base 7?\nAnswer: -26122616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560954 divided by 101.\nAnswer: 5554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -415, -833, -1249, -1663?\nAnswer: -2075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1192 and 3?\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 = -6. Let f be 9\/(-3) + 31\/11. Let m = -375 - -374.5. What is the nearest to -1 in j, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.158 and 5336.\nAnswer: 5327.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1046*n - 4189. Let v be j(4). Which is the second biggest value? (a) -329 (b) -2 (c) -1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 3*j = 1060. Let t = 146 + j. Calculate the greatest common divisor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Let o be (-4)\/(0 - t) - 0. Sort o, -1\/2, -2\/9 in ascending order.\nAnswer: -1\/2, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 264.\nAnswer: -4, -2, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 4)*(-2*n**3 + n**3 - 2*n**3) - 7*n**3 - 2*n**2 + 2*n**3 + 3*n**3)*(4*n**2 - 25*n**2 - 11*n**2).\nAnswer: 544*n**5 + 64*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/7)*r**(-1\/6))\/((r*r\/(r*r**(1\/5)\/r*r*r))\/(r\/((r*r*r*r\/(r**(-2\/3)*r)*r)\/r))))**(-34) assuming r is positive.\nAnswer: r**(6851\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 72*p**7\/7 - 25*p**3\/3 - 50. Find the third derivative of w(c) wrt c.\nAnswer: 8640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*y + 59 = -1216. Solve 5*i + 0 = y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1779 + 1778.99998898. Round a to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6 - 1. Suppose v*z - 6 = 4*z. Solve y = -y - 4*f - 16, -4 = z*f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/3708 and 17\/824.\nAnswer: 7416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -5. Let w be 15985 - (0 + (-1 - x)). Suppose -4*o + w = -5*l, -2*o + 4*o - 7988 = 4*l. Round o to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 3*y**2 - 5*y**4)*(-2*y + 2 + 0 + 0).\nAnswer: 10*y**5 - 10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*v*y - 55*f**2*v + f**2*y + 8*f**2 + 2*f*v*y + 5*f*y + f - 2*v*y + 141 wrt f.\nAnswer: -4*v*y - 110*v + 2*y + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 8*y. What is l(5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 2)*(846 - 846 - 111*g)*(8*g**2 + 4*g**2 + 0*g**2).\nAnswer: -1332*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-12) + (-492)\/(-16). Suppose -35*n - 20 = -k*n. Which is the smallest value? (a) n (b) 4 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/5 - 885*v**2 - 1375512*v\/5 - 103408784\/5 = 0. What is v?\nAnswer: -148, 4721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16230038 is divided by 14849?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 91, 205, 341, 499, 679?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -13*k**5\/60 - 157*k**4\/24 - 23*k**3\/6 + 17*k**2 + 17*k. Determine t(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7400.1 rounded to the nearest 10?\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.6 + 80.3. Let s = l + -45. Let x = -34 + 34.4. What is the smallest value in -2\/3, s, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1101*j**4 - j**3 - j**2 + 2*j + 964727 wrt j.\nAnswer: 4404*j**3 - 3*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19564870 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 17. Let w(x) = -4*x - 47. Let o(m) = -5*v(m) + 2*w(m). Give o(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2. Suppose 5*c + 0*w - 26 = w, -5*c - 4*w = -46. Let i(j) = c*j**2 - 278 + 278. Give s(i(r)).\nAnswer: -108*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + h**4 - 2*h**4 - 3*h**2 - 8 as r + f*h + p*h**3 + q*h**2 + a*h**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + n + 50. Suppose -13*b + 11*b + 10 = 0. Suppose -b*u + 0*u = -0*u. List the prime factors of z(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*b + 38, 3*b - 2*u - 2*u = 13. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55\/(-33) + 2\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Let w = y + 4. Solve -w + 0 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22119\/73 + 1*-7 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 242*w + 242*w + 4*w**2. Let u(i) = 5*i**2. Calculate t(u(z)).\nAnswer: 50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 301 or 300?\nAnswer: 301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**2*s - 93865*d*s + 16154*s - 14 wrt d.\nAnswer: 2*d*s - 93865*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/d**(-5\/3))\/d)*d*d)**(1\/16)*(d**3*d)**50 assuming d is positive.\nAnswer: d**(2401\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21\/76 - -1\/38. Which is the closest to h? (a) -1\/4 (b) 3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44 - 106*q - 37 - 46 wrt q.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119 and 15488156.\nAnswer: 108417092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/1741 and -45\/41.\nAnswer: 71381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 + (11 - -18)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2963.\nAnswer: 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 3*a**2 - 7*a + 13. Let g be q(2). Solve g*p = 25*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x + 2. Let v be s(0). Let o = -255 + 258. Solve o*f - 24 = -2*k - 9, -v*k - 9 = -5*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-96)\/6)\/(-16))\/(16\/208).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6 = -r, -146*b - 12 = -3*r - 144*b. Solve 3*x = 3*f + r, 4*x - 3*f - 13 = -3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + 113123322?\nAnswer: 113130021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 4*b - 14, -43*o - 5*b = -39*o - 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (-1*sqrt(128) - sqrt(128))**2 - (sqrt(242)*1 - sqrt(2)).\nAnswer: -512 - 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 52 + v + 0*v - 19 - 10.\nAnswer: v + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*g - 6 = 222*g. Let u(k) = k - 2. Let j be u(-2). Does j = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -17*v**3\/3 + 5*v + 2401. Let u(d) = 4*d**2 - 1. What is 2*t(f) + 9*u(f)?\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2\/17, 84\/55 in descending order.\nAnswer: 84\/55, 2\/7, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 27 = q. Suppose -3*x + 4*x = -4*d + 137, -4*d - q*x + 131 = 0. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203574582 a multiple of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 11. Let w(t) be the first derivative of -t**2\/2 + 11*t - 2171. What is -5*c(x) + 4*w(x)?\nAnswer: x - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1391626 and 10314?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 84, 91, 108, 141, 196, 279, 396, 553?\n\"Answer: g**3 - g**2 + 3*g + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*s**3 + 40*s - 112*s + 37*s + 43*s + 13*s**3.\nAnswer: 62*s**3 + 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:13 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 243.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*m - 130, -3*m - 18 = -3. Let g be (2\/(-4))\/(27\/c - 1). Solve -l + 9 = 2*a, 4*a + g*l - 21 = 6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -0.07, -1.42, 1, 3, -5\/2 in decreasing order.\nAnswer: 3, 1, -0.07, -4\/5, -1.42, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.15 - -4.85. Let t = -4909 + 4901. Which is the closest to -5? (a) p (b) t (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1827\/(-28)*2\/33 and 81\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4\/3 (b) 7.5 (c) -0.1 (d) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-27)*-18 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 - -2. Let k = 2.19 + -2.2. Which is the third biggest value? (a) k (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.5 * -15.1\nAnswer: 52.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/62 and 58\/3.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 k, and 2 p when four letters picked without replacement from ppmppmtpkmmkmpmpmm.\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 216273, -5 in descending order.\nAnswer: 216273, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -11735?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a week in hours?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2580 - -2582. Suppose -1\/6*n**4 + 0 + 1\/3*n**3 + 0*n + 0*n**r - 1\/6*n**5 = 0. What is n?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 1. Suppose u = -4*s - 5 - q, -4*u + 24 = s. Solve 2*g - u*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 11*q**2 - 13*q + 6. Is b(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -632456974 + 4\nAnswer: -632456970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-7)\/(-5) + 14\/40?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 10*s - 7. Let t be v(11). Let u be -4*(-3)\/t*-6. Solve -4*l + 17 = j - 0*j, 3*l = -u*j + 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -424203 - 123342?\nAnswer: -1103100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*k - 52. Suppose 5 = 4*t - k. Solve h = -8 + t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-8))\/3*2. Let q(p) = -8500001*p - 1. Let i be q(x). What is i rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooyyyoyooooy. What is prob of picking 1 o and 3 y?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234324 is divided by 167?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 15916847813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -2 - (18 + 0 - (35 + -52 + 7))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from {y: 3, u: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*n - 690, 0 = -n + b - 5*b + 138. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 70*c**2 - 73*c + 69. Is k(-44) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2385*m. Let t(q) = 62*q**2 + 14*q - 14. Let k(f) = -18*f**2 - 4*f + 4. Let i(y) = 7*k(y) + 2*t(y). Give i(o(a)).\nAnswer: -11376450*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 957476*u + 10532478.\nAnswer: -2*(u - 478749)*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3233)\/671 - (-110)\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20580 and 20580000?\nAnswer: 20580000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-6*(5 - 6))*0. Suppose 0 = 2*l - 0*l - 10. Solve 2*d - 2*g = -2*d - 12, l*d - 3*g + 16 = f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 3*t - 777, -p + 2*t + 467 = 2*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488*k - 1401 = 485*k. Which is greater: k or 2338\/5?\nAnswer: 2338\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39440 and 124352.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 10, -0.3, 0, 2\/13, 6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 s, and 1 j when four letters picked without replacement from {s: 5, e: 3, j: 3}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 62\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 104461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(46\/115)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = r + 4 - 0, 3*u - 4*r = -5. Let i be -2 - (-3 + 2) - (10 + -100). Let p = i - u. Does 28 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.124619ng?\nAnswer: 0.000000004124619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {p: 2, n: 2, e: 7}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 198 - 3*o**3 + 220.\nAnswer: -4*o**3 + 418","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 1)*(4*m - m - m) + 48*m - 97*m - 160*m in the form s + d*m and give d.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 7*o - 4. Let s be g(-6). Suppose -31 = -5*v + c + 24, -3*v - s*c + 20 = 0. Calculate the highest common divisor of 40 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19347174 to the power of 1\/2, to the nearest integer?\nAnswer: 4399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0.05 (c) 113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 17. Suppose 0 = -0*s + v*s + 2*c + 7, -s - 3*c = 14. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -25, -229 = -5*i + 4*i - 4*u. Calculate the remainder when i is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 20*t**2 - 20*t + 24. Let k be p(-21). Let c = 7 + -7. Find q, given that 2\/7*q**k + 2\/7*q**4 + c*q**2 + 0 + 0*q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 71637372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 16*o + 122. Let x be f(-7). Differentiate -m**2 + 5*m**2 - x*m**2 - 9*m**2 - m - 106 + 40 with respect to m.\nAnswer: -30*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.01 + 47.99. Let g = -6.26147527 + -42.73850943. Let j = p + g. Round j to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(-9)*f)*f)*f)\/f**1*(f**(-1\/4)*f)**(-8) assuming f is positive.\nAnswer: f**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 10*g - 4*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + (6 - ((7 - 1) + (9 - (5 - -13)))).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.74331 + -656.\nAnswer: -636.25669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 685.1866ml to litres.\nAnswer: 0.6851866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2 = 5*y - 3*y, 6*x + 12 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -48. Let t = i + 400. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = 0, -5*i + 3*a = a - 17. Suppose -n + 59 = w - 46, i*n + 5*w = 325. Let d = 317 - n. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -1) + (2 - 2). Suppose 0 = -o + p*o. Suppose o*u = -2*u. Solve 0 = -s - u*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 213117 and 10347?\nAnswer: 735040533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 v when four letters picked without replacement from {o: 7, v: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-5 - 1 - (35 + (19 - 57)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 - 131. What is the closest to 2\/5 in -0.1, j, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:24 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5 + 1518*g**4 + 181227*g**3.\nAnswer: 3*g**3*(g + 193)*(g + 313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -9*m + 248 - 33, 5*m - 4*h - 145 = 0 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2163?\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 322*t - 4179. Let m be u(13). Let f = 9 + 5. What is the greatest common factor of f and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 101. Let g(q) be the first derivative of -5*q**2 + 1103. Give g(m(b)).\nAnswer: 20*b + 1010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 8) + 21 + 10 + (11 - (-19 + 89))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24164 + -24165. Is 6\/2771 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 87*i - 35*i**2 + 3 - 181*i + 94*i.\nAnswer: -35*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298 + 150 + 737*i**2 + 739*i**2 + 148 + 8*i**3 - 1475*i**2.\nAnswer: 8*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1909, -1906, -1901, -1894?\nAnswer: -1885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 7) to base 16.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1 (b) -4 (c) -1\/6 (d) 3 (e) -36935 (f) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9953746 to the nearest integer?\nAnswer: 3155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -5) + -4 + (-4)\/(-4). Let a be j\/9 + (-2431)\/(-117). Find the third derivative of 8*x**2 + a*x**3 + 12*x**2 + 61 - 61 wrt x.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 z when four letters picked without replacement from gggzggggggggggggzgg?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, -4, 95, -3 in ascending order.\nAnswer: -73, -4, -3, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 1 - 38 + 2*o**2 - 6 in the form y*o + p*o**2 + x and give x.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x**2. Let l(h) be the first derivative of -h**4\/12 - 180*h - 26. Let y(n) be the first derivative of l(n). What is y(a(v))?\nAnswer: -100*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 310.7 - 311. Sort 1\/4, 0.15, c.\nAnswer: c, 0.15, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*a - 51, -u + 256 = 3*u + a. Let w be u\/(-21) + ((-2)\/2 - -4). Solve w = -10*r + 6*r - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1348*l = m + 1353*l + 82, -36 = 2*m + 2*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 1 + l**2 + 0*l**2 - 3*l**2 in the form y*l + j + d*l**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -158?\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**2 - 34*p + 64 = 0.\nAnswer: 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/30, -0.3, -4, -2\/27, -2\/5.\nAnswer: -4, -2\/5, -0.3, -2\/27, -1\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 4*m + 4*a, 5*m - a - 109 = 287. Suppose -2*j + 4*j = 16. Suppose -3*v = -j*v + m. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -435 - -417. Let u be (5 + b\/4)*4*1. Solve 5*z + 22 = u*y, -z = -6*z - 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11158 = 2*n - k - 11146, n - 5*k = -24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-16)\/760)\/(((-840)\/(-23370))\/14)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20399 + 20400. Which is the fourth smallest value? (a) 1\/82 (b) n (c) -1 (d) -1\/5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672597.513 milliseconds to weeks.\nAnswer: 0.0011120990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:47 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - n + 2973, 7*u - 4*n = 5*u + 1198. Find the third derivative of -k + 577*k**2 - k - u*k**2 - 110*k**3 wrt k.\nAnswer: -660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 14*m + 11*m + 19 = 0, r - 37 = 4*m. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 40 + 6 + o - 25.\nAnswer: o - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 12, -1\/4.\nAnswer: -1.1, -1\/4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(1\/2)\/q)*q*q)*q)**42\/(q**(2\/7))**(-27) assuming q is positive.\nAnswer: q**(-387\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(33)\/sqrt(3))*-1 + 1.\nAnswer: -sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/12)\/((-2)\/(-351)). Suppose r = 2*o + 7*o. What is the remainder when 37 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 1. Suppose -2*r + 6*r = -2*u + j, r + 21 = 2*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717879.\nAnswer: 3, 271, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*sqrt(76)*-4 - (-1*sqrt(76) + 3) - (-4 + sqrt(76) + 0 + ((sqrt(76) - (sqrt(76) + 0 - sqrt(76))) + sqrt(76))*3)) + 5)**2.\nAnswer: -280*sqrt(19) + 7649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(12\/9 - -1). Suppose -r - i + 3 = 0. Is 20 + r\/(16\/(-12)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -354*o - 19. Is x(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - z = -4*z + 39, 2*v - 2*z - 44 = 0. Let u(h) = -3 + 22*h - 66*h + 24*h + v*h. Determine u(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43005 + -3621?\nAnswer: 39384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**5\/60 - 3*b**4\/8 - b**3 - b**2. Suppose -r - 20*r = 126. Does 6 divide j(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 plus -299?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 65143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + o**2 + 15*o - 10*o**2 - 2*o.\nAnswer: -9*o**2 + 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 25.76*9960\nAnswer: 256569.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186342 (base 10) to base 3.\nAnswer: 100110121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 7*i**2 + 7*i**2 - 39 + 31*i. What are the prime factors of s(25)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1900 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 4022, -14 in decreasing order.\nAnswer: 4022, -14, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -46338 > -46338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 - 22 = 4*p, -5*h - 3*p = 55. Let m = h + 10. Solve 2*z = 4*z - m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 12 - -12) + 12 + -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3953, 5305, 7123, 9407, 12157, 15373, 19055?\n\"Answer: 233*q**2 + 653*q + 3067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 284 = 3*g, 5*g + 65 = 5*y + 545. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8049553 take away 0.3?\nAnswer: -8049553.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -545.999902 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -14) + -14 - -2 - (9 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77086 - 77087. Let y(u) = 55*u**2 + u - 2. Let w be y(-2). Put w, o, -5 in ascending order.\nAnswer: -5, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + sqrt(13) + -1 + sqrt(13) + -3 - -3*(-1 + sqrt(13) + 2))**2.\nAnswer: -20*sqrt(13) + 332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14 + (-20)\/(-8)*-2. Let o be (-4 + 3 - 0) + 5. Suppose 3*v - 1 = m, o*v + m = 2*v + r. Solve 0 = -3*g + v + 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -487bc5 (base 14) to base 4\nAnswer: -21131200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 35*x**2 - 83*x + 76. What is k(37)?\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3653 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.496 < 77\/128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6 + 217\/21)*(-117)\/(-3) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 396 = -384 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -73*u**6\/120 - u**4\/12 - 29*u**3\/3 + 12*u**2 + 5*u. What is the derivative of d(p) wrt p?\nAnswer: -219*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 7) to base 14.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1900) + (sqrt(1900) - (sqrt(1900) + sqrt(1900) + sqrt(1900)*-3 + 5)))*5 + -3)*1 + -5)**2*-4 + 2.\nAnswer: -1714354 + 39600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382473 smaller than 2382252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370, 462, 552, 640, 726, 810?\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/2 - (-38 - -37) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d - 1 + 29. Let x(n) = 3*n**3 - 3*n**2 - 3*n + 4. Calculate the remainder when 39 is divided by x(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48333 + 4318 = 2436*p + 2164 - 29901 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5242503 by 1.\nAnswer: -5242503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178 + -97. Let v = -75.14 - 9.56. Let b = j + v. What is b rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5235\/14 at most -375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6630 (base 10) to base 13\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-1\/2))**(2\/3)\/(t\/((t*t**(2\/7)\/t)\/t)*t*(t*t**(-3\/7)\/t)\/t*t))**(-2\/25) assuming t is positive.\nAnswer: t**(26\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from {n: 9, m: 4, s: 4, y: 2, z: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -40. Let b(k) = k + 9 - 28 + r + 14. Suppose 4*s + 4*p = -0*s, -3*s + 8 = p. Let o(f) = -3*f - 20. Determine s*o(l) + 11*b(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*d + 42*d**2 - 233*d.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + -79 + 76 + -2 + 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6193827 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 6*f = 4*f + 35, -n - 2*f = -15. Solve 0 = s + 2*d + 7, -5*s - n*d = -d + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 - -210.8. Let n = -7\/36 - -4\/9. Which is the closest to n? (a) w (b) -0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a + 188*a - 171*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7582, -6552, -5522, -4492, -3462?\n\"Answer: 1030*j - 8612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {z: 2, x: 4, k: 1, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4071 divided by 59372.\nAnswer: -4071\/59372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 1. Let u be l(0). Let y = -0.54 - -4.15. Let q = 3.91 - y. What is the second biggest value in q, 7, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 - 17*n**2 + 9*n + 4. Let l be r(-9). Which is the closest to 2\/7? (a) -3\/2 (b) l (c) -0.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1858*f**3 - 14*f**2 - 4*f**4 + 7*f**4 - 2 + 1872*f**3 - f**4 + 3*f**4 to p*f + r*f**2 + z + s*f**4 + k*f**3 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -393123, -393792, -394461, -395130, -395799, -396468?\n\"Answer: -669*g - 392454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 5531.16?\nAnswer: 2212.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*v + 24, -m + 32 - 10 = -5*v. Solve -5*l = -3*w - 8, m*l + 3*w = 7*w + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92133023*g**3 + 11*g - 1045560?\nAnswer: -552798138*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/656 - -3353\/47888. Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhlg when four letters picked without replacement from {g: 3, l: 4, h: 7}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1280 is divided by 256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9102.99 milligrams?\nAnswer: 9102990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -y + 3*u, u - 3*u + 38 = 3*y. Suppose -3*z + 5 = 2*q - 4*q, 2*q + 4*z + y = 0. What is the least common multiple of 4 and (48\/9 + q)*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by -24\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/60 - 5*t**4\/24 + t**3\/3 + 8*t**2. Suppose -7*x = -12*x + 30. Calculate the least common multiple of x and s(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-594)\/126 + 2 - (-2 - 15\/3). Factor 38\/7*f**2 - o + 8\/7*f**3 - 16\/7*f.\nAnswer: 2*(f - 1)*(f + 5)*(4*f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 874050*u**2 + 782350*u?\nAnswer: 1748100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707490300 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2495755625.\nAnswer: 5, 11, 363019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2440 - -1613. Let c = p - -2511. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 428, 945, 1668?\nAnswer: 2597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -607aa1 - -39?\nAnswer: -607a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 + 2063\/24. Let h = k - -17\/24. Do 8 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 189090 + -189090. Let p = 3.16 - 3. Which is the closest to x? (a) -0.5 (b) p (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-19))**(3\/8)*(l*l**(-1\/23)\/l)**(10\/3) assuming l is positive.\nAnswer: l**(-4013\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27399? (a) 2 (b) -5 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.367?\nAnswer: -1.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -13*f + 4. Suppose -3*x = -4*q + 28, 2*q + 0 = -x + 4. Let j be (8\/q)\/f - -1. Solve 0 = 4*h, j*w = w + 5*h - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.608 take away -25?\nAnswer: 4.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1132132 (base 5) to base 3.\nAnswer: -1001200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98587?\nAnswer: 311, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**(2\/19)\/d*d)\/d*d)\/(d*d**(-2\/5)) assuming d is positive.\nAnswer: d**(143\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 32. Suppose -7*l = -2*l - 10, 3*l = -b + s. Suppose 2*m = -2*x + b, -2*m - 3*m = 2*x - 23. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-220)\/(-15))\/(4\/6). What is the highest common factor of 55 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14222, -28486, -42858, -57392, -72142?\nAnswer: -87162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24617106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3394 = 4*z, -1494 + 4881 = 4*z + 5*i. Solve -836 = -4*s - z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, d: 10, i: 5, p: 1}. Give prob of picking 1 a, 1 p, and 2 i.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 50385 = -3*h, -5*h = -4*i - 4*h + 67198. What are the prime factors of i?\nAnswer: 53, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(50) - sqrt(2)) + 2 + sqrt(2) + 5)**2.\nAnswer: 80*sqrt(2) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3112*q**2 - 10*q - 59138 wrt q.\nAnswer: -6224*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*v + 14, 33 = -0*v + 4*v - 5*f. Let y be (80\/(-15) + v)*1*3. Let q be y*-2*(1 + 4\/(-8)). Which is bigger: 7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 21*q - 38. Let v be m(19). Find the common denominator of v + -5 + (-162)\/4 and -115\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**4\/4 - 5*s**3\/3 + 6*s**2 + 12*s - 1. Let r be g(-7). Suppose -2*l + 46 + r = 0. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*g + 5*g - 95, g - 25 = 2*a. What is the remainder when g is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 10 + 22 = 0. Let g = 22 - k. Suppose 2*j + g = y + 3*y, 0 = -j - y + 8. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-152)\/(-12))\/(6\/9). Suppose 37 + b = 7*m. Let t(c) = -c**2 + 8*c + 3. Determine t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35883 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + g. Let d be m(2). Suppose 31 = 3*z - 5*c, 2*z - 22 = -0*z + 4*c. Which is bigger: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t + 10. What is x(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -626550 (base 7) in base 5?\nAnswer: -11423412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156464 (base 7) in base 2?\nAnswer: 111100110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 111\/2 - 12\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 27 = -h, 24538*h = 24535*h + 4*n - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8796, 8725, 8654, 8583, 8512?\n\"Answer: -71*a + 8867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.01 (b) 1 (c) 14\/3 (d) -39 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(81*(-3267)\/(-5051970))\nAnswer: -70\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 4:39 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 10262 = -2*f - 4*p, -3*f = -2*p - 15401. Suppose 9*o - f = 4*o. Let q = o + -140. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 891 and 1.3.\nAnswer: 1158.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*a + 88 = 5*g, 3*a - 3 = 0. Suppose -25 - 5 = -5*l. Calculate the least common multiple of l and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 5\/132964 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 26 - 2 = 0. Suppose -r = d + d. Let u(b) = b**3 + 6*b**2 + 3. Calculate u(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/28)\/(30\/7). Let t(h) be the first derivative of s*h**5 + h - 1\/2*h**2 + 1\/8*h**4 - 1\/4*h**3 + 1. Solve t(i) = 0 for i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -574.458?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -642*b - 1372 + 2*b**2 + 2462 + 1734*b.\nAnswer: 2*(b + 1)*(b + 545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 19, -45 in decreasing order.\nAnswer: 19, 4, 1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344033833.\nAnswer: 11, 13, 2405831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97 and 89576687?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009715 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*r - 1, -3*w = 3*r + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {d: 5, u: 1, x: 3, k: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6*(-24)\/26. Let o be (3 - 1*(0 + 0))\/((-3354)\/(-688)). Factor 0*x**2 + 0 + 0*x - o*x**3 + b*x**4 - 2\/13*x**5.\nAnswer: -2*x**3*(x - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33630500 to the nearest one hundred thousand.\nAnswer: 33600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/15*(-1 + -2). Suppose -b = -3*t - 2*f, f = -3*t + 7 + 3. Let r(i) = i**3 - 4*i**2 + 2*i - 1. What is the units digit of r(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 794667.9 tonnes?\nAnswer: 794667900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 1. Let l(y) = y**3 - 4*y**2. Let p be (-12)\/(1 + 4\/8). Let a be p\/(-14) + (-6)\/(-14). Determine a*l(r) + 3*t(r).\nAnswer: r**3 - r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g**3 + 2*g**2 - g. Let a(v) = -7*v**3 - 2*v**2 + v - 1. Determine -5*a(t) - 4*x(t).\nAnswer: 7*t**3 + 2*t**2 - t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 0*p**2 - 10*p**2 + 7*p**2. Let t(k) = -18*k. Give t(u(m)).\nAnswer: 54*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 47. What is the tens digit of (2 - (-3)\/m)*(-597 - 97)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 6:22 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-294)\/28)\/(-21))\/((-2)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 27, 129, 295, 531, 843?\nAnswer: 1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44\/7 - (-4)\/(-14). Suppose 18 = 3*k + d. Suppose 4*o + z - 56 = 5*z, 0 = -k*o - 2*z + 38. What is the remainder when 32 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/7 + (-135)\/35. What is the tens digit of (78\/24)\/((-1)\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -w + 50, w - 4*w + 6 = 0. What is the highest common divisor of 40 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 12:12 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4942*c + 4937*c = -o + 20, 0 = 4*c + 3*o + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4762 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-84)\/(-35) + (-2)\/5. Suppose -k*x = -15*x + 26. Let m(s) = 47*s**2 - 44*s**2 + 24*s**2 + 8*s**x. Let t(i) = 2*i**2. Determine m(t(n)).\nAnswer: 140*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99601 is divided by 2672.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3070*u**3 - 5*u - 8. What is w(-1)?\nAnswer: -3073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*h + 152*h - 17*h**2 - 86*h + 21*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2974320)\/(-97200) - 35\/1?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123*g*q + 10*g + 3*q**4 - 342 wrt q.\nAnswer: 123*g + 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93\/2*16\/12.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -440 or -447?\nAnswer: -440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49332 divided by -5?\nAnswer: -49332\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 - 79. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/7 - 2826*t\/7 + 51840\/7.\nAnswer: -3*(t - 18)*(t + 960)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 1.3, 1\/6, -12, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22548 and 47.86043.\nAnswer: 22595.86043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7984, -15975, -23968, -31963, -39960?\nAnswer: -47959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777202 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 7) to base 3.\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16122 (base 8) to base 3\nAnswer: 100221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, 49, 278, 531, 814?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 651785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18796, 18802, 18812, 18826, 18844, 18866, 18892?\n\"Answer: 2*r**2 + 18794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**3\/9 - a\/3 + 69. Let q(h) = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {s: 4, h: 2, j: 1, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.635 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) - (-15)\/(-12). Let d be -19*(0 + 1)*a. Solve 3*c = -5*r - 0 + d, 2*c - 11 = -3*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109503461.\nAnswer: 37, 691, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/17))\/(y**1\/y*y)*(y*(y**0\/y)\/y)**(-1\/12) assuming y is positive.\nAnswer: y**(41\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 16*b. Let p = -19 - -41. Suppose 2*r + 0*r = p. Is t(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7460950 divided by -2\nAnswer: -3730475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.47 - 13990?\nAnswer: -13997.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**8\/70560 + v**7\/17640 - v**6\/1260 + v**5\/60 - 3*v**2. Let s(z) be the third derivative of w(z). Factor s(u).\nAnswer: 2*(u - 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 9:54 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15574 + 16108. Let t = 11227795246.000000924 - 11227794712. Let h = t - u. What is h rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -23. Let u = n - -21. Let w = 449 - 449.1. Which is the second biggest value? (a) w (b) -2\/13 (c) u (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c17 (base 16) to base 11\nAnswer: 10615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 57, 252, 577, 1032, 1617, 2332, 3177?\n\"Answer: 65*p**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 10*g - 9. Let r(y) = 7*y - 48. Is 15 a factor of r(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1051\/45 - 99\/5. Which is smaller: 3 or m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11110011001100101111111 (base 2) to base 13\nAnswer: -1860398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m**2 - 2*m + 3*m - m.\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 b, and 1 h when three letters picked without replacement from thbuujqj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -3222110?\nAnswer: -3222113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 6*y**3 - 10*y**2 + 2*y - 4. What is the remainder when u(3) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110222 + -212220?\nAnswer: -1100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2911)\/5822)\/(((-15)\/(-564))\/5*2).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12006920 divided by 124?\nAnswer: -96830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*p - 4*a = 47*p - 18, 0 = -12*p - 5*a - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o = 9*o - v - 15, -5*o = -2*v + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 1. Suppose -5*y - 3*t + 37 = 0, 3*y + 4*t = 2*y + 21. Which is the smallest value? (a) y (b) 0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3883)\/(-7413))\/((21\/18)\/(49\/14))?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22a01 - -5?\nAnswer: 22a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 170354 + 199283. Suppose 643712 + y = -k + 2*b, -k = 4*b + 1013355. Let n = k - -313351. Round n to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71937.02 meters to kilometers.\nAnswer: 71.93702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -1. Let g(x) = -2*x**3 - 2*x**2 + 3*x + 3. Let m be g(c). Suppose 5*o + 47 = 2*a, 0*a - m*o = -5*a + 95. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**2 - 10. Let t(i) = -3*i**2. Calculate f(t(m)).\nAnswer: 54*m**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011365703 to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1800\/(-1275))\/(136\/3468).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2*j**3 + 17*d**2 - 2*d*j**6 + 3*d*j**2 + j wrt j?\nAnswer: -6*d**2 - 240*d*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11092524?\nAnswer: 2, 3, 307, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 50. Let i(y) be the second derivative of y**5\/20 - 11*y**4\/12 + 5*y**3\/3 + 9*y**2\/2 - 4*y. Calculate the lowest common multiple of d and i(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 o when three letters picked without replacement from orooomotrmmro?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -22 (c) -1063 (d) 9.8 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + -11 + -2 + (-18 - -22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1242 - -400425?\nAnswer: 402111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhkk. Give prob of sequence ukhk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r + 26. Let h(d) = -2*d - 25. Let v(u) = 2*u + 12. Let s be v(-8). Let z(x) = s*y(x) - 5*h(x). What is the first derivative of z(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 8 = 8*v. What is the units digit of -39*(v\/14 + (-120)\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -548 - -959. What are the prime factors of t?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2725? (a) -2\/11 (b) 89 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 378*h**2 - 3201*h + 4914.\nAnswer: -3*(h - 117)*(h - 7)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21 - 3\/3) + -1. Suppose 0 = 3*c + i - l, 0 = c - i - 4 - 1. What is the greatest common divisor of c and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyn when three letters picked without replacement from pynjrey?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 413770536 take away 102?\nAnswer: 413770434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204253 is divided by 459.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 206 = -5*i. Suppose -38*v + i*v = -90. Solve 0 = -4*h - 6 + v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 2676 (c) 1\/286\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -7*l**4\/12 - l**2\/2 - 119*l - 1. Let n(c) = 30*c**2. Give u(n(s)).\nAnswer: -6300*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1300)*-3.\nAnswer: -60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + (sqrt(14)\/(1*sqrt(2) + sqrt(2)) - sqrt(7)))**2 + 2.\nAnswer: 4*sqrt(7) + 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Find the second derivative of 2*g - 4*g**4 - h*g + 76 - 76 wrt g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12660.3936694518 + 1766.3936689951. Let o = x - -10894. What is o rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156530.47 rounded to the nearest 100?\nAnswer: -156500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n - 6*n + 0*c - 11 = 12*n - c, 12*n = 14*n + c + 25 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -664440000 rounded to the nearest one million?\nAnswer: -664000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106668 divided by -3.\nAnswer: 35556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 652 and 1008?\nAnswer: 164304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -10*y - 27. Let s(k) = 2*k + 7. Let b(o) = -2*c(o) - 9*s(o). Give b(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 6*l - 1. Suppose 0 = 4*z + 2*t - 28, t + 16 = 2*z + 3*t. Determine x(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3433 divided by -3?\nAnswer: 3433\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010021211 (base 3) to base 13.\nAnswer: -21c79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-1)\/3)\/((-1)\/3). Suppose y - 3*y + 2*m = r, y + 1 = -2*m. Which is greater: y or -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 8\/11, -5?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1110 and 59880.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 7*i - 11. Let h be y(-8). Is (-2 + 3)\/(h\/(-1077)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - j. Let n be d(6). Let h = -4 - n. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 33 - (-5 + -10 + (11 - 16 - -19)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*w, 5*w = 3*s - s - 19. Let h(g) = 17*g - 26*g + 9*g + 2*g**s. Let b(d) be the third derivative of d**4\/12 - 2*d**2. Give h(b(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3241, -6485, -9729, -12973, -16217?\n\"Answer: -3244*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, r: 3, h: 3}. What is prob of sequence arha?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19729 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 268137551 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12*t + 2. Let c(a) = a. Let y(x) = 4*c(x) - r(x). Let l be y(2). Let u = -9 - l. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2 + 0)\/((-4)\/40). Suppose 209 = 2*o + j*n, -14*o + 11*o = -4*n - 348. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v + 7 - 7 + (-v + v + 2*v)*(-1 - 4 + 3) + v - v + 2*v + (-v + v + v)*(5 + 0 - 4).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmmmmnmunmmmm. Give prob of picking 1 n and 1 g.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -111, -115, -119?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1238 = -1013*a - 6745 - 25161 + 5793 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39927116*q*x - 11612540*q wrt x?\nAnswer: 39927116*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 447198?\nAnswer: 3130386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 2590703?\nAnswer: 7772109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 28 = -2*c. Let o be 5\/((-5)\/4) - c. Suppose 2*k - 19 - 11 = 0. What is the greatest common divisor of o and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*o**2 - 7338*o + 648.\nAnswer: -2*(o + 108)*(34*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2384 - -1319. Round i to the nearest 10.\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36937 * 0.04.\nAnswer: -1477.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/8)\/(60\/560). Let a be (72\/(-21))\/((-240)\/35 + o). Sort a, 5, 1 in increasing order.\nAnswer: a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 5) to base 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8924670806821 + -0.4\nAnswer: 8924670806820.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/410 and -68\/831849?\nAnswer: 8318490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + 5\/(-2) + 0)*-26. Suppose -13 = o + 5. Let b = o - w. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 - 5 - 141) + (29 - 16)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911 is divided by 80.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 110000001000100011110 (base 2) to base 6\nAnswer: 53450022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -139 + 139. Let f be j\/((6 - 3) + -2). Solve f = p - 14 + 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4. Let z = g + -15. Let v = z + 26. Calculate the remainder when 21 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*t**2 + 4*t**3 + 11*t**4 - 4*t**3 - t**3 - 16*t**2 to i + s*t + j*t**3 + l*t**4 + b*t**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81.94 - -82. Let y = p - 0.26. Let z = 3.1 - 0.1. Which is the second biggest value? (a) y (b) 1\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d + 12. Let t be p(8). Calculate the least common multiple of 8 and (1\/(-2))\/(t\/64).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-20))\/(1 + -15 - -10 - -3)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23030022 + -332?\nAnswer: -23031020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:49 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 169 - 370*y - 169 - 214*y in the form n + f*y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + o + 6 = 4*o, 3*m - o + 2 = 0. Let w = 14 + m. Let u(r) = 52*r**2 + 11*r + 11. Calculate the remainder when u(-1) is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 3)*(-p - 10 - 23*p + 10) in the form u + w*p and give w.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 629.3226 to the nearest integer.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - 17) + 10 + 1. Solve 2*d = -v*g, g = 2*d + d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*2*(2243 - -21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -5, 3, 3.8, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 1. Let a be y(4). Let x be (-3)\/a - 408\/(-28). Let o = x + -12. Solve -3*m - 30 = -o*p, -4*p = 4*m - 2*p + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 18. Which is greater: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -105, 126 in descending order.\nAnswer: 126, -10, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 4*j. Let z = 13 - 8. Let l be h(z). Let y = l - 2. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btbtbxbbbsbtbxxxbbt. Give prob of sequence xt.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2755*r**3 - 6*r**2 + 24*r - 33. Let a be h(13). Round a to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/14 + 4)\/(6*(-14)\/294).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2 + x**3 - 2*x**2 - x - 2*x**3. Let z(u) = u**3 + 5*u**2 - 1. Let w = 47 - 49. Let p(r) = w*j(r) - 3*z(r). Give p(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 390025 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1467, -2951, -4447, -5961, -7499, -9067?\nAnswer: -10671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-4\/5)\/j*j*j))*j*j\/j**(1\/7))**(1\/41)*(j**(3\/5)\/(j*j**(-3)\/j))\/(j**(-2\/5)*j**(3\/7)\/j) assuming j is positive.\nAnswer: j**(6632\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-4 - (3 - (8 - 1))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y + 115. What is the remainder when 494 is divided by r(-14)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1. Let c(u) = 8*u - 8. Let p(m) = 2*c(m) + 2*z(m). Let o = 773 - 739. Let w(v) = -28*v - o*v + 61*v + 1. Determine 2*p(s) + 28*w(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.92 and -15168.\nAnswer: -15170.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24897.\nAnswer: 3, 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 555 and 444.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/19)*i*i*i**(-2\/7)*i)\/((i*i\/(i**6\/i))\/(i\/(((i**(4\/3)*i)\/i*i*i)\/i))) assuming i is positive.\nAnswer: i**(1790\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5180 and 770?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8114968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/24)\/(2\/(-8)). Let x be (14\/4 - 4)*-2. Which is the closest to x? (a) 2\/9 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - -303?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -10*l**3 - 8*l**2 - 3*l - 62. Let v(x) = -6*x**3 - 9*x**2 - 2*x - 58. What is -2*f(b) + 3*v(b)?\nAnswer: 2*b**3 - 11*b**2 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, -25, -101?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.076112885 * -0.5\nAnswer: -0.0380564425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 843, -6, 510, 4 in descending order.\nAnswer: 843, 510, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) 0 (c) -4 (d) 4\/7 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*g**3 + 36*g**3 + 7815 - 7809 - 2*g - g**2 to v*g + m*g**3 + i*g**2 + q and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 1, 43, -5, 132 in ascending order.\nAnswer: -5, -3, -1, 1, 43, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 348, -661, -1676, -2697, -3724, -4757, -5796?\n\"Answer: -3*f**2 - 1000*f + 1351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 4*o**4 - 2*o**4 + (o - o - 2*o)*(0 + 0 - o**3) - o**2 + o**2 + 3*o**4.\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*o = o + 15, 4*o = 4*z - 12. Suppose -2*f + z = -f. What is the second smallest value in 1, f, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -2\/11 (c) 6 (d) -912\/13 (e) 1\/6 (f) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391934816?\nAnswer: 2, 3, 991, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2\/9 - 2039576*a\/9 + 519983782472\/9 = 0.\nAnswer: 509894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -2 (c) -0.3 (d) 0 (e) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqq when three letters picked without replacement from {n: 4, q: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 15*z - 91. Let k = z - -27. What are the prime factors of k?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*h + 4*h - 3*o, 2*h + 5*o - 23 = 0. Suppose -3*d + 42 = -3*q, 3*d = 4*d - h. Let y = q + 21. Calculate the highest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**3\/5 - 7766*r**2 - 38823*r\/5 + 232974\/5 = 0?\nAnswer: -38829, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 + 4*b**2 - 12*b + 8. Let r be v(4). Suppose -2*f + p + r = 0, 3*f - 2*p - 117 = 206. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6907 greater than or equal to -13811\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2972804 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**3\/3 + 172973*v**2\/3 - 7480001168*v\/3 + 7479828196\/3 = 0.\nAnswer: 1, 86486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 49776 = 4*l, 20*b = 23*b - 9. Calculate the highest common divisor of 27 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 + -109.9. Let p be (-1)\/2 - 13\/(-18). Which is the second smallest value? (a) 2\/5 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffccsbcscccsccscccs. Give prob of sequence fcs.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -0.3 (c) 0 (d) -1\/5 (e) 71515\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5 - 2766*f**4 + 9732*f**3 + 1360*f**2 - 20832*f + 12510 = 0 for f.\nAnswer: -695, -3\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 0 + h**2 + 9*h + 1\/3*h**3 + 11\/12*h**4. What is the tens digit of j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 v, and 1 a when three letters picked without replacement from yyrmavyyv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/4)\/(-3 - 25\/(-10)). Let p = 1 + -0.7. Let g = -0.7 - p. Which is the smallest value? (a) w (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 119\/21 + (-10)\/6 + 46. Suppose -204*a + g = -194*a. Factor 0*s**4 + 0 + 3\/2*s**3 + 3\/4*s - 1\/4*s**a - 2*s**2.\nAnswer: -s*(s - 1)**3*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 179225200?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*(-10)\/(-3). Suppose n + t = -0*t + 37, -g*t = 3*n - 107. Let l = n - 194\/5. What is the second smallest value in 0, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.31 - -0.01. Let f = 0.11 - 1.11. Which is the nearest to f? (a) s (b) -4\/7 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by (1*-3)\/((-3)\/28).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19616302 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: Sort 117, 4, -42, 1, 3 in descending order.\nAnswer: 117, 4, 3, 1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**4*t*w - 4*k**3*t + 6*k**2*w + 57*k*w + 2*t*w - t wrt k?\nAnswer: -24*k**2*t*w - 24*k*t + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from {g: 1, q: 1, x: 1, n: 1, m: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13.04335 meters?\nAnswer: 1304.335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1199*d - 121970 = 1189*d. List the prime factors of d.\nAnswer: 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3599?\nAnswer: 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 78. Let m = -11 + d. Let x = -19 + m. What is the greatest common divisor of 3 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1937*d**3 + 7*d**2 + 2477. Let f(n) = -969*n**3 - 4*n**2 - 1239. Let u(o) = -7*f(o) - 4*v(o). Find the first derivative of u(t) wrt t.\nAnswer: -2895*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 2142 - 1098 = 0. Suppose b = -17*w + 27*w. Calculate the remainder when 79 is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.324 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -7, 2, -2\/15, -2 in descending order.\nAnswer: 12, 2, -2\/15, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 + 0.6. Let l = -0.09972 - q. What is l rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19198?\nAnswer: 2, 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2064)\/(-160))\/(-43) + ((6291\/(-1590))\/(-3) - 1)?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -254991.00013 - -255016. Let g = 215 - 190. Let v = i - g. What is v rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4252094 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4*(-8)\/6. Let l = -2 + 2.3. Which is the nearest to w? (a) 2\/5 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31002121 (base 6) to base 4.\nAnswer: 3120202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 71. Let n = 3131.7 + -3079.6887. Let c = b + n. What is c rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.03 - 0.03. Let v = -8 - -7. Let z be 1\/8*-2 + 1. What is the nearest to v in -1\/7, z, o?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144 - 140. Solve -j = s*w - 15, 0 = 4*w - w - 3*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3 + 23793498*d**2 - 142761069*d + 214141644 = 0.\nAnswer: -7931172, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 403373290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60698773 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: Sort -4, 577622, -8.\nAnswer: -8, -4, 577622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -f - 3, f - 3*d + 12 = 5. Is f at most as big as -63\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 855.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 9*j - 5. Let x be d(-10). Suppose 911 + 654 = x*i. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -923 or -922?\nAnswer: -923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*m - 3*m**2 - 82*m + m**2.\nAnswer: -2*m**2 - 122*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*t**2 + 31*t**2 - 68*t**2 - 146*t**3 + 31*t**3 + 121 with respect to t.\nAnswer: -345*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3fd2 - -3?\nAnswer: 3fd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2118 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 37*a - 56. Let p be r(20). Solve p*i = t - 25, -2*i = 5*t - 3*i - 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 25785.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -162205606 (base 7) to base 16.\nAnswer: -a77eda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttkttkttkkk. What is prob of sequence tt?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 65*a - 18286. Determine d(282).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (5 - (7 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, 3, 69, -4 in increasing order.\nAnswer: -152, -4, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 592773994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 18*n**2 - 760*n - 14028. What is z(-19)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 51*p - 76. Let d be u(27). Suppose -d*z + 54 - 1659 = -4*v, -3*z + 9 = 0. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(48\/57766) + (-25)\/(-600)*4. Calculate the highest common factor of n and 498.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 13*k**2 - 14*k - 17. Let b be t(-12). Suppose 2*d = b*d - 225. Suppose -3*w = -9 - d. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 26 + 4. Suppose 5*a - 2*a = p. Solve a*d - 1 = -3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47025.18l in millilitres?\nAnswer: 47025180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/4032 and -65\/18.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 h when four letters picked without replacement from hgdhynyyhyyd.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*q = -39*q - 2110 - 1718. Let c(g) = -2*g**2 - 2*g. Let t(y) = 10*y**2 + 11*y. What is q*c(d) - 4*t(d)?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - m**2 + 2. Let l(u) = 12*u**3 - 10*u**2 - 124. Calculate -10*i(z) + l(z).\nAnswer: 2*z**3 - 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002237652862 to six decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10917 divided by 3639.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 8*z - 7. Let r = -11 + 16. Let a be k(r). Let m(l) = 2*l - l**2 + a*l - 10*l. Let x(n) = 6*n. Determine m(x(y)).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1063 + -1061. Suppose -3*u - 5*y = -7*u + 909, 0 = 2*y + 2. Suppose l + 4*d = 315, u = -5*l + f*d + 1757. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 193\/5590*(-4 - (-5 + 7)). Let k = -4\/559 - s. Determine g, given that 0 - k*g**2 - 1\/5*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 93*m + 314. Let i be b(-2). Solve 329 = -175*y + i*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -2, -27271, 2 in ascending order.\nAnswer: -27271, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 971479783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 90956 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(6\/(-8)))\/(11\/33)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -744769768, -744769770, -744769772, -744769774, -744769776?\n\"Answer: -2*r - 744769766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5*w = -4*d - 15, -5*w + 5*d + 15 = 0. Find the second derivative of v - 5*v**2 + 0*v**2 + w*v**2 - 3*v wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b + 40 = 0. Is (586\/(-5))\/(b\/50) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 3 + (15 + 3 - 6)*(-1 - 1 + 4))*(9*d**2 + 0*d**2 - 10*d**2 + 31) as k*d**2 + o + i*d and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((5 - 15 - -7) + -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b + 3. Calculate q(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -4.9. Which is the smallest value? (a) -1\/8 (b) 1\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12381235 and 40?\nAnswer: 99049880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/3)*f**(3\/13)*(f\/(f**(2\/15)*f))\/(f\/f**(2\/7)) assuming f is positive.\nAnswer: f**(-584\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -5 (c) 6.122 (d) 2\/11 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -82, -308, -696, -1252, -1982, -2892, -3988?\nAnswer: -5276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92323 and 218.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 81*v - 78*v - 2)*(3*v**3 - 2*v**3 - 3*v**3) + (0*v + 2*v - v)*(-3 + 3 - 2*v**3) in the form h*v**4 + t + x*v**3 + y*v + c*v**2 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-1)\/(21 - 0)). Let z be (-2)\/7 - 6\/b. Suppose z*o + 2*p - 76 = -4*o, o + 4*p = 33. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/117?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**7\/840 - r**6\/180 + r**3\/6 + 3*r**2. Let j(u) be the first derivative of a(u). What is the third derivative of j(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*y = -66, 63 = 5*z - 3*y + 4*y. Suppose 6*n = z + 12. Suppose 0 = -n*c + 329 + 99. What are the prime factors of c?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -82187\/5 and -16438 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -463 (b) 95 (c) 2\/21 (d) -0.3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.032 in 0.26, -0.87, -49?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 291917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0 - 3 = 0. Let v = 3 + r. Suppose -4*i = w - 19 - 0, 0 = -5*i - w + 24. Solve -i = k + v*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(2*g**3 - 3*g**3 + 0*g**3)*(2*g**2 - 1 + 1) + (9*g**2 - 12*g**2 + 20*g**2)*(18*g - 11*g**3 - 18*g) + 0*g**5 - g**5 + 3*g**5.\nAnswer: -183*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 11, 21, 35?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23969000 rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7+-166256026\nAnswer: -166256033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/60 + h**4\/6 - h**3 - 8*h**2. Suppose -p + 8 - 1 = -f, 2*f + 4*p = 16. Let b be (7 - f)*4\/(-18)*3. What is x(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 21*c**2 - 70*c + 51. Let l be u(-24). Is -39 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 4*f**2 + f + 7. Let g be j(5). Let c = -8 - g. Solve -c*q + 4 = -1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3100811 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 9. Let p = 3 - i. Suppose -p*b - 5 + 1 = 0. Put 2, b, -1 in descending order.\nAnswer: 2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 2, 27, 0, -594 in decreasing order.\nAnswer: 29, 27, 2, 0, -594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 + 5*i - 4. Let u be q(-5). Let l be ((-8)\/14)\/((-6)\/u). Let k be (9\/(-6))\/(102\/85)*48\/(-10). Solve 3*r - 4*b - l = 0, r - 8 = k*b - b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -675021 + 3?\nAnswer: -675016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -171, -187, -209, -237, -271?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, 231, 2238, 6505, 13782, 24819?\nAnswer: 40366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 9*f**2 - 10*f + 3. Let d be n(8). Let a be (d + 24)*(0 + 1). Solve -32 = 4*k - r - a, -k - 4*r + 16 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v\/(v*v\/(v*v**(1\/7))))\/(v*v*v**(-3)*v\/(v\/v**(2\/3)*v)))\/(v**(-3\/2)\/v**(2\/15))**(-39) assuming v is positive.\nAnswer: v**(-12857\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27527 is divided by 912?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 2*d + 3. Let v(p) be the second derivative of 7*p**4\/12 - p**3\/2 + 5*p**2\/2 + 8*p. Let q(g) = 3*v(g) - 5*z(g). What is q(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*l + 33. Suppose -l*z + 63 + 69 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 + 2115 = -64*d + 28 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -18\/293023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3 + 22 + 74*b**3 - 38 - 55 + 113*b**3 wrt b.\nAnswer: 567*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by ((-320)\/(-24) + 1)*3?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/2016 and 95\/272?\nAnswer: 34272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Suppose -i + 4*x = -r*i + 8, -5*i + 2*x = -20. What is the highest common divisor of i and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + -2)*1 + 174 + 12024?\nAnswer: 11, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247666?\nAnswer: 2, 123833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2 + 0)\/(-2))\/((-11)\/(-44))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1169*g - 205*g - 46402 - 13891 - 11155 for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-14 + 19 - (-9 - -1)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -89*z**2 - 2*z. Let h be y(-1). Let c = -76 - h. Calculate the remainder when c is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13a5 + 2?\nAnswer: 13a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 161 = -7*k, 28*l - 23*l - 168 = 4*k. Calculate the greatest common divisor of l and 10962.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*b**4 + 42*b - 42*b + (-2*b**2 - b + b)*(-b**2 + b - b) - 2*b - b**4 + 2*b)*(-5 + 2 + 4 + (2 - 3 + 0)*(2 - 2 + 2)).\nAnswer: -13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014119 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*g = 21, 111 = 8*x - 5*g + 2*g. Let j(w) = -w**3 - 5*w**2 - 2*w - 4. What is the lowest common multiple of -5 - (-7 + x\/(-2)) and j(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**4 - 5*w**3\/3 - 3*w**2\/2 - 4. Let z(r) = -3*r**3 - 4*r**2 - 2*r. What is -2*c(g) + 3*z(g)?\nAnswer: -g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6*y = 0. Is -395 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) -22 (c) 1607\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -361, -349, -313, -241, -121, 59, 311?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7289744 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10*h = -20. Let b be 37\/3 - h\/6. Suppose -4*g - 5 = -b. What is the remainder when 5 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m**3 - 6*m**2 - 6*m + 6. Let r(i) = -i**3 - 7*i**2 - 5. Let b be r(-7). Let f(n) = 7*n**3 - 5*n**2 - 5*n + 5. What is b*g(y) + 6*f(y)?\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaaggaoggvgvvvvvvvv. What is prob of picking 2 v, 1 g, and 1 o?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-3)\/6*-6. Let k = 3 + j. Suppose 3*n - 2*f - 10 - 1 = 0, -4*f = -4*n + 20. Solve -k*w - 1 = n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 822311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {k: 1, n: 1, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 146. Does 31 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -968*b**2*u**3 - b*u**2 - 91*u**3 wrt b.\nAnswer: -1936*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5845 and 1503?\nAnswer: 52605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5403*p + 5403*p - 16214*p + 5406*p. Suppose -w = -3, 0 = 4*m + 2*w + w + 19. Let f be s(m). Solve -f = 2*d + 4*o, -4*d = -d - 3*o - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 6:11 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18850047?\nAnswer: 3, 83, 75703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6801 is divided by 340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 220077.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10937.753144384 - -1596010.253148584. Let k = 1585075 - t. Let u = 2.5 - k. What is u rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293*j - 377 - 502 = 0. Solve 3*d - 29 = -9*q + 13*q, 0 = j*q + 3*d + 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((49\/(-7))\/(-28))\/2)\/(65\/(-195))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 8*l = -130, -38*a + 69*a + 5*l - 65 = 36*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23731935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/6)\/(98\/(-84)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from vvfvvvyuuyvy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -30, -2\/11, 2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 56*c**2 - 708*c + 18. Calculate m(-11).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 312\/(-20)*20\/(-3). Suppose 0 = 3*c, f - 4*c = 5*f - v. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u. Suppose -2*s - 2 = -2*o, u = 3*o - s + 4*s - 15. Solve -y = 2 + o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(396)*4)**2.\nAnswer: -96*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhuhhhuhhhhhuhubhuh. What is prob of picking 3 h?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -39 + 33. Let w = 3 + r. Solve -5*v - 3 - 17 = w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*q - 5*o, -264*q + 4*o - 32 = -261*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 + 120. Let u = f - -129. Let s = u + -128.999608. Round s to 5 dps.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1)\/(6\/(-4) + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61553230379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.812361 rounded to three dps?\nAnswer: 1.812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/7 - 46*x**2\/7 + 493*x\/7.\nAnswer: x*(x - 29)*(x - 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a0a39 + -a23?\nAnswer: -a1961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d = -4. Suppose d = -5*y + 16. Suppose 5*b = i + 4, i - 5*i + y = -b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.27 (b) -5\/6 (c) -2002 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*i - 12, -5*a + 0*i = -i + 6. Let r be (0 + a)*9\/(-6). Solve 12 = -3*c, 2*u + r*u - 5*c = 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067086710 a multiple of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Suppose -t + 12 = 2*t. Which is the nearest to q? (a) 0.5 (b) t (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 763556 and 22.\nAnswer: 8399116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 12. Let m be c(9). Suppose -4*n + 40 = -m*u - u, 5*u = n - 26. Let l(j) = 36*j - 11. Is l(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**5\/30 - l**4\/8 - l**2. Let i(w) = w**2 + 2*w - 12*w**2 + 15*w. Give 6*i(t) + 34*p(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 367587*d\/4 + 1010834.\nAnswer: (d - 367576)*(d - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.35 - -0.4. Let g = u - 12. Let f = -0.25 - g. Which is the second smallest value? (a) 2 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**5\/5 - 2*q**2 - 2*q + 3. Let l(k) be the first derivative of m(k). Differentiate l(u) wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 126*g - 194. Calculate k(2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.027 (b) 80 (c) 0 (d) 5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 + 124*n**2 - 82*n - 41. What is the hundreds digit of t(-41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -521, -458, -159, 352, 1051?\nAnswer: 1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 2 - 9)*(-4*o**2 - 11*o**2 + 12*o**2).\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 416 - 837. Find the common denominator of 101\/14 and d\/(-10) + (-15)\/25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33760 - -250?\nAnswer: -33510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12342373 + 10677188 = 0. Suppose -5*q - t = 3*j - 38273187, 3*j - 5*q = 30600000. Suppose -18*c + 19*c = j. Round c to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 195 + -1 - (-18)\/(-18). Let s = b + -116. What is the greatest common divisor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**2\/3 - 60716*r\/3 + 2784472\/3 = 0.\nAnswer: 46, 15133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130\/11 + -123\/11. Calculate the common denominator of -5\/2 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 10:09 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8729490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1\/8))\/j)\/(j\/(j*j\/j**(-6)))*(j*j**8)\/((j\/(j*j\/(j\/((j\/j**8)\/j))*j))\/j*j*j*j*j*j) assuming j is positive.\nAnswer: j**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 - 5*t**5 - 9*t**5 + (t - 2*t**2 - t)*(-2*t**3 + 0*t + 0*t).\nAnswer: -13*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (1 + (-3 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 t when three letters picked without replacement from odootfndmtfm?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/415 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1236 divided by -1\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by 412.\nAnswer: 31\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0924 and -13.\nAnswer: -1.2012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -41521*z**3 - 3*z**2 - 4*z - 2. List the prime factors of u(-1).\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 + -98. Let n be (3 - f)\/((-3)\/9). Let q be 33\/11 - ((2 - 4) + n). Which is the second smallest value? (a) 2\/9 (b) 3 (c) q (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**4 + t**2 + 7*t**4 + 2*t**2 + 0*t**2 + 3*t**3 - 3*t**4 + 4*t as w*t + a + j*t**3 + d*t**4 + f*t**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 9*x**2 + 15*x - 50. Let d be c(10). Suppose -17*h - 29 - 22 = d. Suppose 3*p = -p + 12. Sort 0, 2, p, h in decreasing order.\nAnswer: p, 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03414558698 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 10*i = -56. What is the nearest to 0 in i, -9, 2\/5, -2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 40 = -0*o. Let j(n) = 11*n - 280 - 33*n - 94 - 74*n. Let h be j(-4). What is the greatest common divisor of o and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r + 2 = 0. Suppose -3*i - 1 = r. Let z be 2*i - 8\/(-3). Is z at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14180*r + 1457*r - 3869*r.\nAnswer: -16592*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**6\/120 - u**5\/15 - 7*u**4\/24 + 5*u**3\/6 + 26*u**2. Calculate i(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 155 = -9*r - 10*r. Calculate the remainder when r is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 6*o**2 + 2*o - 9. Let d be j(6). Suppose -3*b + 370 = -b. Suppose 0*p = 2*v + p + 205, 0 = 2*v - d*p + b. Round v to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w*z**3 + 3*w*z**2 + 8967*z**3 - 513*z**2 wrt z?\nAnswer: 12*w + 53802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*q**2 - 211*q**2 + 43*q**2 + 41*q**2 + 47*q**2 + 39*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 39\/(-15))*5. Let c = x - 9. Let b(u) = -3*u**3 - 7*u**2 - 8*u - 1. Is b(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 13*m + 7. Let h(u) = 14*u - 14*u + u. Let k(c) = -a(c) + 6*h(c). What is k(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 3*a - 3. Let j be y(3). Let z be (-2)\/j*(3 + 0). Suppose 3*u + z*u - 20 = 0. Calculate the smallest common multiple of 11 and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 51, 3, -2\/53, 1?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 - 376. Let f = -207 - i. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002311 rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1211, 5452, 16563, 32128, 52153, 76644?\n\"Answer: i**3 + 2218*i**2 + 2*i - 3432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - y - 11 = -11*a, -a + 2*y - 5 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -51. Suppose -2*w + 3*w = 2*u - 101, -2*u + f*w = -100. List the prime factors of u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 16*u**2 + 64*u - 801. What is j(17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56.1 + -2270595.\nAnswer: -2270538.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-25)*v)**(-2\/95)\/(v\/v**(-35)*v*v**(-26\/3)*v) assuming v is positive.\nAnswer: v**(-8522\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/5)\/((c\/(c\/((c\/c**(4\/7)*c)\/c)*c))\/c)*c*c*c**(-2\/9)*c\/(c*c*c\/c**(-2\/29)*c*c) assuming c is positive.\nAnswer: c**(-1094\/9135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50493671.\nAnswer: 23, 811, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18905, 75477, 169737, 301691, 471345, 678705?\nAnswer: 923777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 17*v - 13*v - 23480 = 0, 5*d + v = 23465. Is 102 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 165, 54, -59, -174, -291, -410?\n\"Answer: -v**2 - 108*v + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 384641.0000176559 - 384641. Round q to 7 decimal places.\nAnswer: 0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11759635 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 11*z = -z + 450. Solve -29*f = -z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136.00000063 + -136. What is c rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2471 divide 826690347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b + 2 + 34 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17685 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*y - 12, -3*y = 2 + 1. Let u = 0 - b. Let s = 2 - u. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2008, 1740, 1280, 616, -264, -1372, -2720?\nAnswer: -4320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2237.\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1 + -1 + -1. Suppose j*i + 8 = 2*i. Let h(m) = 2*m**2 + 10*m + 8. Let q be h(-6). What is the highest common factor of i and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3095, 6055, 9013, 11969, 14923, 17875, 20825?\n\"Answer: -x**2 + 2963*x + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(286) + sqrt(286) - sqrt(286))\/sqrt(11))\/sqrt(2) + 1)**2.\nAnswer: 2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28086 - 28092. Which is the fifth smallest value? (a) 3.7 (b) o (c) 0.1 (d) 5 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7307, 28827, 64693, 114905, 179463, 258367?\n\"Answer: 7173*c**2 + c + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*o + 401 - 473 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -61, -129, -205, -289, -381, -481?\n\"Answer: -4*b**2 - 56*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 6:42 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1419445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let h(t) = 34*t. Let q(w) = h(w) - 3*j(w). Let o(y) = y**2. What is o(q(k))?\nAnswer: 961*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612763843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 31 + 19. Suppose -g - 3*d = 2*g + 9, 3*d + 17 = g. Differentiate p - p - f*p**g - 3 with respect to p.\nAnswer: -20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5 = -2*d - 1, 4*d - 3 = 3*f. Suppose -f*i - 2 = -5*i. Let o(m) = m + 10541 - 10541. Let b(l) = 3*l**3 - 3*l. Determine i*b(c) + 3*o(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 2*d**3 + d**3 - d + d - d**3 + 1 + d**3 - 1 + (2*d - 2*d + 2*d**2)*(4*d - 5*d + 2*d) + d**3 + d**3 - 5*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*sqrt(243))**2 + sqrt(243) - sqrt(243)) + sqrt(243) + (sqrt(243) - 1*sqrt(243)*-3)**2.\nAnswer: 9*sqrt(3) + 4855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yycyccyyccyyycyycyy. Give prob of sequence cc.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:17 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, v: 6, j: 4, i: 1}. What is prob of sequence ikk?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**16\/b*b\/((b*((b**(-25)\/b)\/b)\/b)\/b)*b**(2\/21)*b**3 assuming b is positive.\nAnswer: b**(989\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0 (b) -0.2 (c) 14 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 28 = -8. Put u, 1, -3 in descending order.\nAnswer: 1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7669, 7617, 7531, 7411, 7257, 7069, 6847?\n\"Answer: -17*p**2 - p + 7687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 13*b**2 + 13*b - 17. Let i = -2 - -14. Let y be f(i). Sort -1, y, 2 in increasing order.\nAnswer: y, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 3, 5, 119, -2, -10 in decreasing order.\nAnswer: 119, 5, 4, 3, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(((-2292)\/288)\/(-191))\/((-2)\/100)?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 37 = 4*f, 0 = -5*f - 11*k + 14*k + 30. Solve 8*u - 4*o = f*u + 31, -2*u - 4*o = 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23\/797 - -15805\/243882. Calculate the common denominator of c and -83\/156.\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*n = -5, s + 22 = 5*s + 5*n. Suppose -2*q = -q - 4*a - 38, -s*a = q - 59. Calculate the remainder when q is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 31*s**2 + 45*s - 158. Determine g(5).\nAnswer: 842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 761 divided by 21376\nAnswer: 761\/21376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-7 + -10)) + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5 + 4. Let k = 6 - w. Solve 0 = -v - 5*i + k, -29 = 5*v - i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1104)\/(-4140) - (-409)\/(-15).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -4 (c) -0.42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(2*u - 2*u + 2*u) + 2*u - 1 + 1 + (0 - 1 + 3)*(2*u - u - 2*u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, v: 4, u: 2, e: 2, n: 2, t: 3}. Give prob of sequence vtnn.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 4*u - 30. Let m = 42 + u. Factor -30*j**2 - 8*j + 0 + 8 + m*j + 8*j**3.\nAnswer: 2*(j - 2)**2*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 - -17.12235.\nAnswer: 17.00235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**5\/12 - u**4\/12 - u**3\/3 - 2170*u**2. Let s(w) = 24*w**2 - 10*w - 11. What is 11*j(z) - 2*s(z)?\nAnswer: 7*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**5 + 57*f**4 + 336*f**3 + 888*f**2 + 1104*f + 528.\nAnswer: 3*(f + 2)**4*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3. Let k be -4 + j + (0 - 2). Let h be (-6)\/(-9) - 14\/k. Solve -5*f + h = 28 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 19*x + 29. Let i(v) = -9*v - 17. Let t(u) = -11*i(u) - 6*k(u). Let q(f) = 7*f - 6. What is 13*q(a) + 6*t(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(5\/4)*j\/(j\/(((j\/j**3*j)\/j*j*j)\/j))*(j\/(j**1\/j))**(-34) assuming j is positive.\nAnswer: j**(-131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*v + 277 - 245, 2*v + 8 = 0. Let w(s) = 1 - 3*s + 2*s + 2*s. Let i be w(2). Solve -y = i*m - 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 23 - 18. Let n = -2.6 - -2.6. What is the smallest value in n, 2\/19, g, 3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -8*p + 3*p + 36, 3*n + 5*p - 44 = 0. Suppose -3*z - 2 + n = 0. Is (2 + 12\/3)\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = 0, 3*y - 1348 = -5*h - 8067. Which is smaller: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2169 (base 11) to base 9\nAnswer: -3825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*sqrt(500)*1 + sqrt(500) + 0 + 1 + -1.\nAnswer: -10*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 9. Suppose -x*m + 4*q + 6 = m, 0 = 2*m - 3*q - 3. Suppose -3 - 9 = -g. What is the greatest common factor of m and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.9, -1, 422?\nAnswer: 422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -5.1. Let m = g + -8.9. What is the second biggest value in m, 2\/19, 0.01, -0.4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2578*i - 1988*i + 1216*i + 2414*i + 548600 = 0 for i.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -1b8?\nAnswer: 1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + (sqrt(125) + 1)*-4 + sqrt(125) + (2 + sqrt(125))*6 + -2*((4*(sqrt(125) + 1) + sqrt(125) - sqrt(125)) + sqrt(125) + -5))**2.\nAnswer: -600*sqrt(5) + 4600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -5*d - 21, d + 34 - 25 = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**3 - g**2. Let f be n(-1). Let z(a) = a**3 + 10*a**2 + 11*a + 8. Let m be z(f). Let b = m - -20. Solve 0 = -5*q - b, -12 = -j - q + 6*q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/9 + 4\/6. Let c = -19 + 19. Put c, m, 2 in decreasing order.\nAnswer: m, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4223, 4316, 4413, 4514?\nAnswer: 4619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22379286.595 and 9.\nAnswer: 22379295.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -213 - -1919\/9. Which is the third smallest value? (a) -3\/5 (b) j (c) -3 (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1401548*a**3 - 845350*a wrt a?\nAnswer: 8409288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3786.53l in millilitres?\nAnswer: 3786530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 8, -12, -3, 5, 2 in descending order.\nAnswer: 8, 5, 2, -3, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c**2 - 120 - 2*c + 0*c + 18*c**2 - 14*c**2 + 117 - 5*c**3. Let q = -8 - -6. What are the prime factors of o(q)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -386384, -386368, -386334, -386276, -386188, -386064?\nAnswer: -385898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78.09 + -78. Sort a, -5, 0.2 in descending order.\nAnswer: 0.2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4618016?\nAnswer: 2, 13, 17, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u**3 - 3*u**3 + 2*u**3)*(-35 - 16 - 2) to the form y + p*u**2 + l*u**3 + o*u and give l.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 10793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*401.50594.\nAnswer: -2810.54158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 19*b**2 + 1583*b - 1566. Calculate l(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -282633266?\nAnswer: 282633262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/179868 and 167\/1386?\nAnswer: 41549508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-1 - -3) + -1. Let i be (75\/9)\/(-5)*-3. Let f = i - l. Solve 0 = f*x - 0*x + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38.05 and 3.5.\nAnswer: -34.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4))**(-11))**(-10\/9)*(l**(-4\/15)*l*l*(l*(l*((l*l**(-14)\/l*l*l)\/l)\/l)\/l)\/l)**(1\/28) assuming l is positive.\nAnswer: l**(-2201\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 372?\nAnswer: 74.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4260 (base 11) in base 9?\nAnswer: -7647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 680 divide 1378360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/100)\/(16\/(-256)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3*h - 5 - 2*h**2 - 2*h**3 + 3*h**2 - h in the form p*h + v + i*h**2 + l*h**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 9 - 19 + 14)*(-5*u**2 - 5*u**2 + u**2) in the form p + w*u**3 + x*u + m*u**2 and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-92))\/((-4*(-5)\/(-180))\/(80\/(-360))).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -466 + 572.8. Round p to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33122?\nAnswer: 2, 16561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 11*u - 3. What is the remainder when 66 is divided by v(-13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188169.\nAnswer: 3, 62723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 387.999424 to one dp.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*m - 16. Suppose -53 = m*d - 0*w - w, -3*d - 87 = -3*w. Let s be (-84)\/(-5) + d\/30. Solve 0 = -5*j - 4 - s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxx. What is prob of sequence lxx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 116, 233, 350, 467, 584, 701?\n\"Answer: 117*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/10 + v**4\/2 - 14*v**3\/3 - 214*v**2. Calculate the remainder when i(3) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 17, 41, 85, 155?\n\"Answer: j**3 + j**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = 10 + 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2. Let l(p) = -2*p**2 + 3. Let s(o) = o**2 - 4. Let m = -5 - -8. Let t = -6 + m. Let r(i) = t*s(i) - 4*l(i). What is r(n(j))?\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 + 3)\/(-3)*-1. Suppose i*f - 20 = 5. Let l be 4\/(-6) + (-13)\/3. Sort l, f, 1\/6.\nAnswer: l, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3796616 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11948, -11950, -11952?\n\"Answer: -2*c - 11946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -222.97 - -0.5.\nAnswer: -222.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1943971284 divided by -6.\nAnswer: 323995214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17399.\nAnswer: 127, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -903 + 906. Solve 0*c - 5*j = -2*c - 15, b*c + 5*j + 10 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 1, -334253, 22 in increasing order.\nAnswer: -334253, 1, 3, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184071.\nAnswer: 3, 61357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/1 - 1)\/(-6). Put p, -3, -2\/21 in decreasing order.\nAnswer: -2\/21, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -11*b + 8*b + 24, -4*b + 33 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfs when three letters picked without replacement from ffssfsfstftf?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -20*a - 112. Let g = 536 + -557. Is 11 a factor of y(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*z**6 + 3*z**5 + 162*z**3 - z**2 + 990*z wrt z.\nAnswer: -3720*z**3 + 180*z**2 + 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2716085*p**4 - 6369481*p wrt p?\nAnswer: 32593020*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k**2 - 64825*k - 48630 = 0. What is k?\nAnswer: -3\/4, 3242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.09, 2, 5\/3, -5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 52253220?\nAnswer: 52253212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 87*n**2. Let s(x) = x. Give z(s(b)).\nAnswer: 87*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 288\/28 + ((-30)\/21)\/5. Suppose 7*p + o = 38. Suppose 0 = -p*n - 0. Solve v + n + 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000328451363 rounded to six dps?\nAnswer: 0.000328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 5 - (-2 + 2 + 1 + -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - 41 - (2 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 17 and 89\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 19*i**2 + 199*i + 123. Let u(y) = -9*y**2 - 100*y - 62. Let l(j) = -6*c(j) - 13*u(j). Let k be l(-36). What is the highest common factor of k and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d*k**3 + 4*d*k**2 - 3*d*w - 2*k**3*w - 429*k**3 + 289*k*w + k wrt w?\nAnswer: -3*d - 2*k**3 + 289*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 221 or -116255?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/13608 and -79\/193037256?\nAnswer: 1351260792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = 4*d. Let p be 145\/(-45) + d\/(-9). What is the smallest value in 0.4, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1307845158?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-5)\/60*27\/(-81)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 - 1. Let w(f) = 2 - f + 0 - 5*f**2 - 4*f**2. Let g be (-8)\/32 - (-14)\/(-8). What is g*w(z) - 5*d(z)?\nAnswer: -2*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 8 + 3 - 2. Let a be b(5). What are the prime factors of 2 + -1 + 1 - a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1385962, -2771909, -4157848, -5543785, -6929726, -8315677, -9701644?\nAnswer: -11087633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-16) + ((-1)\/(56\/(-791)) - 7). Solve -3*t - 3*a - f = -34, 5*t - 15 = a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b + 3. Let m be h(-1). Suppose -2*k + 131 = -2*r - 9, m = 5*k + 4*r - 314. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 6*d**2 - 4*d - 8. Let q be z(6). Let h = q - -42. Suppose 1 = 3*m + 4, 0 = -3*a + m + h. Solve -a*l + 6 = 0, f + 4 = -0*f + l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - s = 2, 0 = u - 57*s + 60*s - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - x - 5 + 3*x - 1 + 6*x**2 as t*x + r + h*x**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.08, -1, 55, -4, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1956 + 1959. Solve 16*h + o = 17*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -3*o**4\/20 + 774*o**3\/5 + 465*o**2\/2 - 5770. Factor w(k).\nAnswer: -3*k*(k - 775)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f + 3. Let c be a(2). Let y = 481 + -476. Sort c, 10, y.\nAnswer: c, y, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0\/(-1)) + 4. Let l(z) = -z + 6. Let b(y) = 2*y**3 + 10*y**2 + 11*y + 7. What is the remainder when b(-3) is divided by l(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58659893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 2*w - 5*h = -35, -3*h - 7 = -4*w. What is the derivative of 4*m**w - 5 - m**3 + 4*m**3 - 3*m**3 wrt m?\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 147866 = -4*y + 88136, -3*y + 4*m + 176992 = 0. What is y rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4 = n. Let m = -1 + n. Sort 2\/5, m, -4 in ascending order.\nAnswer: -4, 2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -84011, -84013, -84015, -84017, -84019?\n\"Answer: -2*a - 84009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.235, -5\/3, -4, -0.2 in descending order.\nAnswer: -0.1, -0.2, -0.235, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8683*a**3*f + 9*a**3 - a**2*f - 265*a*f + 4*f - 1 wrt a?\nAnswer: 52098*f + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, -46, 5, 1\/3, 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 3*p = 75, 4*p = -2*d + 63 - 43 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 166101, 664451, 1495001, 2657751?\n\"Answer: 166100*d**2 + 50*d - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 + 9*g**2 - 136*g**3 - 2.\nAnswer: -136*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 5, a: 7}. Give prob of picking 1 o and 2 a.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 64 = 4*x + x, 5*x + 226 = 4*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.34, 1\/11, -1\/8, 2\/7?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - -2) - (-48 + 48 + 16).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12756332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 53, 61, 69, 77, 85?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -11*w**3 - 5*w**2 + 26*w + 111. Let f(b) = -6*b**3 - 3*b**2 + 16*b + 56. Calculate -5*f(i) + 3*o(i).\nAnswer: -3*i**3 - 2*i + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -16*k + 3. Let g(l) = l**2 + 13*l + 44. Let b be g(-6). What is z(b)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 541 - 504. Suppose -23 = -12*o + l. Solve 0 = -2*c + o*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.79578 and -0.2?\nAnswer: 0.759156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0014 and -0.12?\nAnswer: 0.000168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14119.5 - 4791. What is j rounded to the nearest one hundred?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.81827046 to 1 dp.\nAnswer: 29.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {n: 1, e: 2, f: 1, b: 1, c: 5}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s\/s**17)\/s)*s*s)\/s*s)\/s**(-25))\/(s\/(s*s**(-8\/5))*(s*s*s*s**(-18)*s)\/s) assuming s is positive.\nAnswer: s**(292\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8292.356876 rounded to the nearest 100?\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1151\/4 + -290. Find the common denominator of 41\/10 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2457734 to the nearest integer?\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a + 92*a - 236 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1042204, -1042197, -1042180, -1042147, -1042092, -1042009, -1041892?\nAnswer: -1041735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z = 17*z - 53235. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 3*g + 45 = 0, 0 = 4*x + 2*g - 32 - 10 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9\/(-6) + 957\/(-66)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3))**(1\/30)\/(((z**(-2)\/z)\/z)\/z**(-1\/6)) assuming z is positive.\nAnswer: z**(347\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 + 46*l - 52)*(-l**3 - l**3 + 0*l**3).\nAnswer: -92*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 3*v - 2. Let t be i(-6). Suppose -2*k + 16 = -0*n + 2*n, -2*k = -5*n + 40. Which is the nearest to k? (a) 0.3 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.11553 grams to micrograms.\nAnswer: 1115530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/6, 84, -13 in descending order.\nAnswer: 84, 4, 1\/6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 240.98042 rounded to 1 dp?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -13819\nAnswer: -69095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3\/2 - 53*j**2\/2 + 2*j + 106 = 0.\nAnswer: -53, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*a = -64*a + 6632. What are the prime factors of a?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - n**2 + 5*n**2)*(n**2 - n**2 + n**2) + (6*n + 4 - 4)*(n**3 + 3*n - 3*n) + 88*n**2 + 13*n**4 - 88*n**2.\nAnswer: 21*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**2 + i - 984*i**3 - 6*i**4 + 2*i + 985*i**3 - 3*i**2 + 0*i**2 to the form h*i**2 + k*i + t*i**3 + p*i**4 + w and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4165 and 6035.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -732 - 1593. What are the prime factors of f?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1415349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3945\/67 or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(-47))**(1\/22)\/(x*x**(-4)*x*((x**2\/x)\/x)\/x*(((x*x**(-1\/3)*x*x)\/x*x)\/x)**(-3)) assuming x is positive.\nAnswer: x**(129\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70\/9 - -8. Suppose -2\/9*z**3 - o*z**2 + 2\/9 + 2\/9*z = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9700734, 9700742, 9700762, 9700800, 9700862, 9700954?\nAnswer: 9701082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/56)\/(4\/16*-4).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w = 59*w - 9599. Calculate the remainder when w is divided by 326.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4031660128.\nAnswer: 2, 89, 1415611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6*x + 30 = -x, 0 = x - 4. Let y be 46 + 3\/1 + (d - 6). Let o = y - -86. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765 = -39*a + 90*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 + 87. Suppose 4*g - 2*i = -7*i + 9, 4*g + c = 5*i. Is g - (0 - -1) - -17 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 + 89. Solve 2*i + 5*y = 20, 6*y = 4*i + 3*y - k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 670259259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((2*sqrt(343))**2 + -5)*-5 + (sqrt(343) - (sqrt(343) + -1*(sqrt(343) + 0))) + ((1*sqrt(343) - sqrt(343) - sqrt(343))*-1)**2).\nAnswer: -28*sqrt(7) + 25968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-2)\/(-2 + 8)). Suppose -490 = 5*q + y, 0*y - 5*y = 5*q + 470. Let r = -94 - q. Solve 0 = -5*t - m*s - 22, -r*t = -s - s + 27 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -221233030200?\nAnswer: -221233030201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 19 = -13. Let w(z) = 3 + 2*z + 4*z - y*z + 3. Determine w(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*i - 2*n, 5*i - i - 5*n = 26. Let r = -52 + 131. Suppose 0 = -i*p + r - 15. Solve -4 - p = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2 + 12*h - 12. Let b(s) = s**2 - s + 1. Calculate 12*b(k) + v(k).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/9 (c) -4562877\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20\/13*s**2 + 10\/13*s**4 - 20\/13*s**3 + 2\/13 - 10\/13*s - 2\/13*s**5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80867 + 25643 = 1416*a for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4720 - 4728. Which is the biggest value? (a) 0 (b) 5 (c) -1\/3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 12:47 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -296.1 and -2.3?\nAnswer: 681.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -1\/135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 76*w + 84. Let i be r(-39). Solve -3*z + 5*s = 7, -4*z - i = -3*s - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33222 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5 = -z - 2*f, 15 = -3*z + 3*f. Is -9 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1909 = -3*l - 2*v + 1893, -4 = l + 2*v for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**3\/6 + 51*q**2 + 69*q - 3. Let z(v) = -4*v**2. Calculate i(z(d)).\nAnswer: 4*d**2 + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 345 - 324?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/7 (b) -24\/13 (c) -1 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u, 6*u - 3*u = -2*g + 33. Let r = g + -11. Find the second derivative of r*i**4 + i - i + 7*i wrt i.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 87\/(-58)*8\/6. Which is the second smallest value? (a) -0.2 (b) d (c) -211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24383105 divided by -4876621\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 12*f**2 - 6*f. Let u(b) = b**3 + 6*b**2 + 2*b - 1. Let o be u(-6). Is n(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3603065)\/(-17569585) - (1 - 4\/(-22) - 1)\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67\/304734 or 1?\nAnswer: -67\/304734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -380 - -174. Let w = 300 + p. List 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 highest common divisor of 208 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 697 = 2*j + 691. Solve 4*n - 2*i = 4, j*i = i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*n - n - 4731, 2*n = 10. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + 37 + -24 + -34.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19899 + 19895. Let z be 74\/160 + 4\/(-10). Which is the fourth biggest value? (a) 0.2 (b) o (c) -2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/7 - 68262*v\/7 - 78032 = 0. Calculate v.\nAnswer: -8, 34139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a second in milliseconds?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23348 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**3 + 6. Let m(c) = c**2 + 11*c - 7. Let a be m(-12). Let z be ((-250)\/5)\/a + 5. Let w(h) = -2*h**3 + 0 + 5 - 3*h**3. Determine z*q(f) + 6*w(f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x**2 + 22*x - 22. Let k(v) = 22*v**2 - 66*v + 67. What is 6*k(j) + 19*w(j)?\nAnswer: -j**2 + 22*j - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-14)\/n)\/(n*n\/(n**(-10)*n)))**2)**(-3\/19) assuming n is positive.\nAnswer: n**(156\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + m**2 - 2*m - 9. Does 20 divide d(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -26*v**3 + 6*v**2 + 593*v + 2353. What is y(-4)?\nAnswer: 1741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - s + 3*s)*(-17*s**3 - 20*s**3 + 33*s**3).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1621*a**5 + 1690*a wrt a.\nAnswer: 32420*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 3638?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2) + sqrt(6)\/sqrt(3)*5)**2 + (sqrt(22) - 6*2*sqrt(22))\/sqrt(11).\nAnswer: -11*sqrt(2) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 37856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254419933 to the nearest integer?\nAnswer: 15951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 l when three letters picked without replacement from {l: 5, a: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9 + 0\/(-4). Let a = -1 + 1. Let x be ((-2)\/(-36))\/((-1)\/(-2)). Sort a, x, m.\nAnswer: m, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 73, 139, 189, 217, 217, 183, 109, -11?\n\"Answer: -k**3 - 2*k**2 + 79*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*u + 12204 = -48*u + 8*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6559 is divided by 501.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - z**3 + 3*z)*(-7 - 5 + 3)*(0*z + 2*z - z).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21.7 in -5, 4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 5*z**2 + 7*z. Suppose -6 = -4*f + 5*f. Let r be v(f). Let l(g) = g - 1. Let p(y) = -3*y + 1. Let t(w) = -2*l(w) - p(w). Give t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(18 - (-114)\/(-6)). Solve 5 = v - i, 8 = y*v + 4*i - 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2340 + -2348. Put -1.6, 2, p, -3 in ascending order.\nAnswer: p, -3, -1.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = 2*k, k + 10 = 6*k + 5*p. What is the common denominator of (-3)\/(-9) - 124\/66 and 16\/(k\/12*-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1286?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(6\/13))**48 assuming j is positive.\nAnswer: j**(912\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 18, -857, -8, -5 in decreasing order.\nAnswer: 18, 5, 4, -5, -8, -857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 5. Let p(u) = u**2 - 1. Let i(z) = -2. Let s(g) = 2*g + g + 2 + 1 - 4*g. Let c be s(5). Determine c*p(f) + y*i(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 102, 178, 298, 456, 646?\n\"Answer: -t**3 + 28*t**2 - t + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3910252 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: Let a = -9.8 + -0.2. Let y = 10.104 + a. Let v = y - 0.21. Round v to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 645 and 1075?\nAnswer: 3225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -34\/5 (b) -0.3 (c) 88 (d) -4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5564029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0302 and 0.137779595.\nAnswer: 0.167979595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 234 = -12*k. What is the remainder when 32 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 10:04 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 112*l - 634. Determine x(-7).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 6:48 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (314\/(-2355))\/((-21)\/(-6))*85\/(-102).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 + -73. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-19)\/(-2))\/19*-2. Which is the second smallest value? (a) t (b) -31 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 270\/7 - 39. Which is the smallest value? (a) -24 (b) 3 (c) 0.3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 2:40 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -20, -48 in ascending order.\nAnswer: -48, -20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 6. Give d(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 17*f - 5. Suppose -3*g = -7 - 8. Let i be b(g). Suppose -4*y - i = -8*y. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*o + 14, 3*l + 17 = -21*o + 22*o. Solve -4*d + 2*n = o - 10, -4*d + 3*n = -8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2090 + 3324. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83.64 * -0.1\nAnswer: -8.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/161*(-2)\/(10\/3).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -164689359.399283 + 164688489.4. Let h = -870 - j. What is h rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -14 + 4 + 35\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -3*p - 0*p + 43*f - 264, 0 = p + 2*f - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602011?\nAnswer: 29, 20759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u + 0*u - 5*u)*(1 + 3 - 5) - 4*u - u + 4*u + u - 3*u + 0*u + 533 - 589*u - 1074 + 551 in the form t*u + r and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((217\/1302)\/(6\/(-1236)))\/((-4)\/(36\/(-3)))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**4\/24 - m**3\/3 - 5*m**2. What is k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 1:51 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 770?\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*z - 33720, -2*z + 35557 = 4*t - 31835. What is the thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*j**3 + 22 + 6 + 50.\nAnswer: -249*j**3 + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**2 + 23*k + 3048. Give q(0).\nAnswer: 3048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(160\/24))\/(1\/5). Which is the closest to 5? (a) 0.1 (b) n (c) 1 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 4*v + 4, t - 109 = v - 112 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -30, 3, -2.\nAnswer: -35, -30, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t - 3*t - 24*t = -168. Suppose 0 = -2*s + 4*f - 6, 3*s + 5*f + 7 = -2. Sort s, t, -2, 8.\nAnswer: s, -2, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 9*f**2 - 17*f + 6. Let y be i(-6). Solve -2*m - 3*z + 3 = y, -5*m - 2*z + 6 = -7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14531329261\/1563 + 9297076. Let q = h + -2\/521. Which is the nearest to 1? (a) 70 (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/9)*s*s**(-2\/55) assuming s is positive.\nAnswer: s**(367\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 105*s + 12. Let n be q(13). Suppose 0 = -12*j + 2511 + n. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 16, -15, -5, 0 in decreasing order.\nAnswer: 16, 9, 0, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 245 and 10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.779742868 rounded to 3 decimal places?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 57. Suppose 4*k + 2 = 2*i, 4*i + 0*i = -k + x. Let q(b) = 2 - 5 - k*b + 3. Let w(f) = 3*f. Determine q(w(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -800, -1533, -2150, -2597, -2820?\nAnswer: -2765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/3 + 875*j**2 + 574656*j + 1721344\/3 = 0. Calculate j.\nAnswer: -1312, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 34 = -3*g - 22, 4*g - 2*f - 10 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1907 is divided by 200.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -256 - 99 + m**2 - 2*m + 24 - 2*m**2 in the form n*m + j*m**2 + q and give q.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 93.26.\nAnswer: 373.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53105, 106117, 159125, 212129?\nAnswer: 265129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.3553957 nanoseconds in weeks?\nAnswer: 0.00000000000028167228125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + (12 - 22 - 28) + 11\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*5\/(105\/2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 11103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 228 + -62. Suppose 5 = -2*x + 11. Suppose 4*u + 3*p - c = 0, 192 = 5*u - p - x*p. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 - -0.2. Let d = -14818 - -14823. Let z be (1 - 0)*2\/4. Which is the nearest to z? (a) i (b) d (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173175 - -172443.43. Let c = b + 737. Round c to 1 dp.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7, 0.4, 4, 0.139, 2, 0.3 in decreasing order.\nAnswer: 4, 2, 8\/7, 0.4, 0.3, 0.139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/(sqrt(12)*3) + 1*sqrt(56))\/(2*1*sqrt(2)*-5*6))**2.\nAnswer: 343\/32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 44*g**2 - 88*g + 3. Let j(t) = 197*t**2 - 353*t + 12. What is -2*j(s) + 9*z(s)?\nAnswer: 2*s**2 - 86*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**4 - 178730*d**3 + 536160*d**2 - 536150*d + 178715 = 0.\nAnswer: 1, 35743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4805544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z - 7 + 2*z - z**2 + z. What is t(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21980228 divided by -10990114\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.821m in nanometers?\nAnswer: 119821000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*n**2 + 18*n**2 + n - 1 + 0*n)*(-n**2 + 0*n**2 + 3*n**2).\nAnswer: 6*n**4 + 2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28857 - -4808. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*r - 1, -5*r - 9 = -3*b - 2*r. Suppose b = -19*z + 21*z. Let m(p) = 3 + 1 - 3 - p**2 - 3*p. Let c(w) = w. Give z*m(k) + 2*c(k).\nAnswer: -k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = 9225*b - 9218*b. Calculate the greatest common divisor of b and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 + 47*h**2 + 9*h - 18. What is the remainder when c(21) is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 8, -r + 0*r = -h + 1. Is (-3 + h)*(-8)\/4 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 2, -1, -38 in increasing order.\nAnswer: -38, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3280 + 39403\/12. Let a(r) = r - 9. Let x be a(11). Calculate the common denominator of -39*((-36)\/8 + (6 - x)) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45860213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12740 and 225589?\nAnswer: 31582460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*d + 20267 = -657*d + 2119 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 30*a**2 + 5 - 2*a - 2*a**3 - 29*a**2 + 4*a**4 as v*a**2 + s*a**4 + z + h*a**3 + y*a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32205 is divided by 7506?\nAnswer: 2181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16406.5 rounded to the nearest one hundred?\nAnswer: 16400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/26 - (0\/4)\/(-1). Let p(r) = r**2 - 13*r + 17. Let t be p(12). Suppose -u - 1 = 2*i, -i - i - 13 = t*u. Is a greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o + 180. Let k be r(28). Let w(d) = d - 9. Let m be w(k). Solve 4 = g + m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -167*a - 34901. Determine d(-211).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55287 and 38?\nAnswer: 2100906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 13*g**2 - 69*g - 10. Calculate the remainder when 94 is divided by n(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 55.23. Let k = x - 0.07. Let h = k + -0.2. Which is the second smallest value? (a) 3 (b) h (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**6\/120 - 13*k**5\/30 - 7*k**4\/6 + 5*k**3\/2 - 8*k**2. Is 5 a factor of y(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -269*t**3 - 8*t**2 + 6*t + 45. Let w(u) = -270*u**3 - 9*u**2 + 7*u + 46. Let c(y) = 7*f(y) - 6*w(y). What is the third derivative of c(i) wrt i?\nAnswer: -1578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1537*y + 253*y + 344*y)*(-y - 5*y + 4*y) + y**2 + 0*y**2 + y**2 + y**2 + y**2 - 4*y**2 + (-3*y + 2*y - y)*(y - 3*y + 3*y) - 4*y - 2*y**2 + 4*y.\nAnswer: 1876*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 571 + -373. Suppose 0 = 5*y - m - 147. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (264\/(-20) - -13)\/(2\/(-70))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, -2, 1\/6, 3\/2, 3\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide -14*(178\/14*-9 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**2. Let g(d) = -11 - 15 - 13 - 41*d - 16 + 53. Calculate g(j(t)).\nAnswer: 205*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39*21\/(-18)*-2*140046\/163387.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 5770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -7*b**5\/120 + b**4\/2 - 5*b**3\/3 + 2*b**2 - 546. Suppose z(w) = 0. What is w?\nAnswer: 10\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-2) + 7*(-7)\/(-49). Suppose z - 292 = -5*p - 3, 4*p = -i. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*l - 84*l + 284*l + 284*l + 323*l.\nAnswer: 737*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80606549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p - 26*p + 46*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*q - 7*q + 154, -248 = -2*k + 4*q. What is the highest common factor of 646 and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1291134 and -0.3.\nAnswer: -387340.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yku when three letters picked without replacement from jjktkyttujytjyyt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 391816175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 338454 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: How many months are there in seven fifteenths of a decade?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/6156 and 55\/255664.\nAnswer: 20708784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 607.0818 millilitres to litres.\nAnswer: 0.6070818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -132655 (base 8) to base 6\nAnswer: -555153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2696*f - 1047. Is j(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**2. Let o be (25\/10)\/(-5)*-14. Let m(q) = 35 - 35 + o*q. Give m(n(d)).\nAnswer: 56*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 5 (b) -0.1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2404 a factor of 144735224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 r, and 2 m when four letters picked without replacement from ruurmrbbrum?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a milligram in micrograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1339.88439 to the nearest ten.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7392.783 years in centuries?\nAnswer: 73.92783","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/(n*n*n\/(n\/(n\/n**3))))**(-8\/13) assuming n is positive.\nAnswer: n**(16\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -102667*f**3\/6 + f**2\/2 + 9*f. Suppose 0 = 11*i - 7*i - 12. Let l be u(i). Round l to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + 5 + -2 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2564, 2579, 2612, 2669, 2756, 2879, 3044, 3257?\n\"Answer: s**3 + 3*s**2 - s + 2561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5512 = -275*v - 228 + 19850 + 441 for v.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21, 139, 461, 1089, 2125, 3671, 5829, 8701?\n\"Answer: 17*n**3 - n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/(30\/12*(-40)\/50).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 8\/9*f**3 + 0 - 1\/180*f**5 + 70*f**2 + 0*f - 4\/9*f**4 + 1\/180*f**6. What is m in h(m) = 0?\nAnswer: -4, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012984135 rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mea when three letters picked without replacement from emmlmmnaa?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(121) - sqrt(121) - sqrt(121))*-3 + sqrt(121))\/((sqrt(132)*1)\/sqrt(12)).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 2. Let o(a) = 24*a - 36. Let u = 208 + -207. Let l(c) = u*o(c) - 15*g(c). What is the first derivative of l(i) wrt i?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 928529.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-4*1530\/2040.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/806 and 191\/505362.\nAnswer: 505362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3531678 and 1.\nAnswer: -3531678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 151235 and 475310?\nAnswer: 3327170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 5882, -3\/5, -1, -0.06, -0.2, 7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58695834?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-555)\/(-74)*18\/9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a - 1. Let j(s) = s. Calculate 4*h(l) + 28*j(l).\nAnswer: -12*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 742658, 1485315, 2227972, 2970629?\nAnswer: 3713286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -105. Let s = 73 - x. Let c = -24.99999876 + s. Round c to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 60. Let k(z) = z + 119. Let d(t) = 11*f(t) + 6*k(t). Let y be d(10). Factor -40\/3*b**3 + 0 - 27*b**5 - 39*b**y + 0*b - 4\/3*b**2.\nAnswer: -b**2*(b + 1)*(9*b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = 12. Suppose 3*l + h - 2*h = 79, 3*h = f. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.2527\nAnswer: 1.2635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15950 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -22, -25, -26, -25, -22, -17?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202922 = -2*d + 4*r, 4*d - 328355 = 2*r + 77453. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 13*i**2 + i. Let d(f) = -3*f**2. Calculate t(d(a)).\nAnswer: 117*a**4 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-68)*(-3 + 48\/36)*9\/(-30)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -38353 divided by -1?\nAnswer: 38353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 624 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 6*n**2 - 2*n + 7. Let g be a(6). Let q(s) = 52*s**2 + 3*s - 14. Let i(f) = -2*f**2 - f + 2. Let z(x) = 4*i(x) + q(x). Is z(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**4 - 6*p**4 + 2*p**4 + (-13*p - 7*p + 26*p)*(4190*p**3 - 7811*p**3 + 3934*p**3) in the form b*p**2 + o*p**3 + v + m*p**4 + k*p and give m.\nAnswer: 1877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8*3)\/(-4))\/((385\/(-7))\/5).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 57, 89, 121?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/28)\/(-1))\/(3\/21)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 6*j**2 + 7*j - 6. Let d be f(5). Let i = -117.3 + 117.2. Which is the closest to i? (a) -4\/7 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*i*r + 3*b**2*i + 16*b**2*r + 77*b**2 + 53*b*i*r - 4*b*i - 4*i*r - 521 wrt b.\nAnswer: -2*i*r + 6*i + 32*r + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 1:03 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9288.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-216))\/(1476\/2214).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262592*m + 262558*m = 340 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 29*m - 841.\nAnswer: -(m - 58)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z + 8 - 8 + (1 + 1 + 0 + (-2 + 0 + 1)*(-5 - 9 + 1))*(3 - 3 - 2)*(0*z + 2*z - 3*z).\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/(2\/(-33)). Let d(n) = -11*n**2 + n - 13. Let w(i) = -5*i**2 - 7. Let y(a) = -6*d(a) + 13*w(a). Is y(p) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/(n\/n**(-23\/5)))\/n)\/n)\/n)**(-30) assuming n is positive.\nAnswer: n**198","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**3\/3 - 9*i**2\/2 - 581. Suppose -2*t - 14 = a, t - 4*a = 5 - 30. What is c(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, -1\/5, -3\/8, 0.22?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 94 = -18. Suppose -g = 2*o - 4*o. Let q = o - 23. Solve q = 2*v - 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Put -0.5, 1\/8, g in descending order.\nAnswer: g, 1\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 913\/282 - -9\/94. Factor 5\/3*t**4 + 0 + 0*t + 5\/3*t**2 + a*t**3.\nAnswer: 5*t**2*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14067187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 142?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 8*c - 9. Let v(x) = 2*x - 135. Let l(m) = -3*m + 189. Let i(n) = -5*l(n) - 7*v(n). Give h(g) + 6*i(g).\nAnswer: g**2 - 2*g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 56*b**2 - 81*b - 2004. Calculate s(58).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.01 (c) 0.2 (d) 18 (e) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1318*q - 279436. What is c(-212)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12\/13)*n\/n**12)\/((n*n\/n**39)\/(n*n**18\/n*n)) assuming n is positive.\nAnswer: n**(573\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176226050?\nAnswer: 2, 5, 7, 11, 13, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 4)\/((-2)\/(-3424)). List the prime factors of (-39)\/(-91) + j\/(-14).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - w - 1. Let c(h) = -24*h**3 - 4*h**2 + 5*h + 4. Let n(a) = -c(a) - 4*s(a). What is the second derivative of n(i) wrt i?\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -23, 1, 4 in decreasing order.\nAnswer: 4, 3, 1, -9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (121*(-5)\/(-33))\/(-1)*-3?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4479\/2 or 2239?\nAnswer: 2239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*12*(-20)\/(-80). Let u(n) = -6*n**2 + 19*n - 11. Let k(p) = 3*p**2 - 10*p + 6. What is q*u(m) + 11*k(m)?\nAnswer: -3*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116576062?\nAnswer: 2, 58288031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2202201222011 (base 3) to base 6\nAnswer: -51310351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -4. Suppose 0*d + 12 = a*d. What is the highest common divisor of 30 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Suppose 4*k + j = 5*a, -3*a - 4*k = -5*k - 6. Let m = 496 - 488. Sort a, m, 0 in descending order.\nAnswer: m, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 34 = 64. Let f = 32 - x. Is (-8)\/(-8) - (f\/2 - 335) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-188)\/(-45) - 4) + (152\/36 - 4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.22 (c) 0.3 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 248, 236, 226, 218, 212, 208, 206?\n\"Answer: h**2 - 15*h + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.3. Let m = 31 + 0. Let r = m + -27. Which is the second smallest value? (a) q (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 626*g - 624*g + 24, 18 = 4*r - g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2 - 648*u - 97664 = 0.\nAnswer: -112, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 112 = -7*y. Let t = y + -16. What is the least common multiple of t and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19087, 38179, 57271, 76363?\nAnswer: 95455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 11 - 5 - 2*r + 3*r**3 - 2*r**2 in the form j*r**2 + b*r + i + l*r**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65777 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x + 1. Give w(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6176500 to the nearest one hundred thousand.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 < -188\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*u + 10*u - 4*u**3)*(-1 - 3*u**2 + 1) - 2*u**5 - u**5 + u**5.\nAnswer: 10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64041250 and 2730.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 58*p - 47. Let w be r(9). Suppose 4*a - w - 109 = 0. Does 25 divide (-4)\/(-6) + a\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 7*o**2 - 12*o + 19. Calculate the remainder when 109 is divided by y(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6985553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*(-2)\/(-80))\/3.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 238 - 99. Let t = l - 61. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19774 and 1670.\nAnswer: 16511290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -30827933.3 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + -1 + sqrt(931) + -3 + sqrt(931) - (1 + sqrt(304))**2*6.\nAnswer: -1834 - 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122194 is divided by 347.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 618, 609, 588, 549, 486, 393, 264, 93?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 558 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -27759\/30917?\nAnswer: -27759\/30917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 104120017255 plus -0.2?\nAnswer: 104120017254.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475735 (base 10) to base 12.\nAnswer: 1ab387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkvyvykykkyykyyk. Give prob of picking 2 k.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5\/17 + 12114*h**4\/17 + 792954*h**3\/17 + 12836494*h**2\/17 + 22598052*h\/17 = 0. Calculate h.\nAnswer: -5991, -41, -23, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2756*x - 2751*x - 5*z + 20 = 0, 2*x + z + 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489448268095 - 489448268095 - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + h + 3)*(-3 - 1 - 1) + h - 3*h - 3*h to the form s*h + m and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v + 584184 + v - 584184.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-2*2\/(-4). Is 83 - (2 - v - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*t + 26 = -85*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/4 (b) -2\/9 (c) -0.085\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1248.826 - 1250. Let w = n + 1.2. Let h = w - 0.0265. What is h rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -509 - -607. Calculate the remainder when y is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c**2 + 5*c - 57. Is r(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.061 + -5.439. Let v = 6.3 + u. Let k be 6\/(-4)*((-8)\/12 - -2). Which is the third biggest value? (a) k (b) -1\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 6*d**2 + 2*d + 7. Let g be n(-6). Let m = 7 + g. Let j(y) = -3*y + 3*y**m + 3*y. Let u(b) = b. What is u(j(w))?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + 2*s. Let r(b) = -b - 6. Let h be r(-9). Let i be d(h). What is the greatest common factor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4308 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 20 = -v. Which is the nearest to 0.3? (a) v (b) -2 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.3315 and 1650.\nAnswer: -5496.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 13*w - 3*w - 8*w + 50 - 8*w. What is the remainder when 50 is divided by r(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 9:53 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 3:09 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 5911*a - 436893. What is k(-73)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/333? (a) -4 (b) -7\/58 (c) 4 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-21)\/6)\/((-4)\/792)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/7, -1, 7.1, -0.5 in decreasing order.\nAnswer: 7.1, 16\/7, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 12. What is the units digit of y(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 7:36 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + n + 42, 2*p - 3*n - 61 = -2*p. Suppose -p = 18*j - 5*j. Let z(d) = -d**2 + 2*d - 3. Let g(f) = f - 1. Give j*z(q) + 3*g(q).\nAnswer: q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*p - 22808, -4*p + 25929 = 5*m - 31124. List the prime factors of m.\nAnswer: 3, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/152802 and 125\/3954.\nAnswer: 100696518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (8 + -83 - -140)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/(-35) - 166\/(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.214 (b) 272 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129463551 by 1087929.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 5*t - 5*t)*(3 - 5 + 0 + (4 - 1 + 0)*(1 + 0 - 4) + (4 + 1 - 1)*(-3 + 0 + 5) + 4 + 0 - 5) + (-10 + 8 - 16)*(-4*t + 2*t + t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s = -425*s - 8800 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 12:02 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 48*d - 83. Let x(o) = -94*o + 190. Give 5*j(n) + 2*x(n).\nAnswer: 52*n - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - -63. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from jwhhwwwdawhd?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(156)\/sqrt(3) + 5)*3.\nAnswer: 15 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2038*t - 126. What is the hundreds digit of g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921145010?\nAnswer: 2, 5, 47, 1959883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -271 + 265. What is the hundreds digit of 186*4 - (-3 - (k + 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 234*r + 278 with respect to r.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7, -14, -19, -22, -23, -22, -19?\n\"Answer: f**2 - 10*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.049 - 0.015.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**5\/5 + 21*i**4\/5 - 94*i**3\/5 + 146*i**2\/5 - 99*i\/5 + 5 = 0.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 857 a factor of 13726669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.404 + -0.304. Let w = -20 + u. Let z be (35\/21)\/(1\/(-3)). Which is the nearest to 2\/7? (a) w (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-1)\/(-1)) + 0. Suppose -f - 2*f + 9 = g. Solve -u + f*u + 10 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*u**2 + 44*u**2 - 141*u**2 + 49*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21483603 smaller than 21483602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.46936 rounded to 1 decimal place?\nAnswer: -194.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 97 = -3*z + 2*b, 0 = 2*z + 2*b - 184. Calculate the greatest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 59261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5664453051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -3273341?\nAnswer: -3273345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5172 - 2593. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - 52. What is the greatest common factor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2\/5, 4, -0.106, -0.5, -8 in decreasing order.\nAnswer: 9, 4, 2\/5, -0.106, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*k*p**3*q**2 + 12*k*p**3 - p**3*q**2 - 420*q**2 wrt k.\nAnswer: -13*p**3*q**2 + 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-153)\/27 - (-69)\/(-23)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -445, -1690, -2897, -4060, -5173, -6230, -7225, -8152?\n\"Answer: y**3 + 13*y**2 - 1291*y + 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/(-9) - 4\/6. Suppose 3*f - 4 = -8*l + 4*l, -a*l = 4*f. Does 11 divide (-65)\/(-2) + (-2)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.4 and -0.07?\nAnswer: 0.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 854 and 15173018.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000417436 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.11849 or 31\/3?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-10))\/((-6)\/(-2040)). Let g = y + -56. Suppose 0*m + g = 4*m. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195950429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 177230088.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 12. Give r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1190 and 10591.\nAnswer: 105910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -506*m**2 + 7*m**4 - 4*m + 242*m**2 + 263*m**2 - 32 to the form c*m**3 + o + r*m + y*m**4 + g*m**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - r)*(-716 - 3 - 1223) in the form w + x*r and give x.\nAnswer: 1942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 8*l**2 - 10*l - 13. Let y be h(-7). Suppose 2*w + y*w = 7870. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2960594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -169 - -167. Let x be 14\/(-49)*2\/(-4). Which is the nearest to 6? (a) l (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 4*w - 160. Let f = 68 - w. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 22*b - 20*b + 35, 0 = 3*v - 6*b - 51 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-22))\/(m\/(m*(m\/m**(2\/13))\/m)) assuming m is positive.\nAnswer: m**(-275\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 809*f**3*x**3 + 2*f**3*x - 3*f**3 - 2462*f**2*x**4 + 180224*f*x - 1 wrt x.\nAnswer: 4854*f**3*x - 29544*f**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6440934 is divided by 423.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008747 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14170 * 0.2\nAnswer: 2834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -38475*u + 192150. What is r(5)?\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/(-952) + 30\/(-459)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6.5 times 993402.3\nAnswer: -6457114.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2309 divide 192697595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6598 + 2329 - 5*q + 2138 + 2131.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 - -166. Suppose -3*g = -g - c. Let v(q) = -3*q**2 - g + 28. Let w(p) = -3*p**2. What is v(w(l))?\nAnswer: -27*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2374.3 + 2371.3. Let i be 3*1 + 252\/(-77). What is the smallest value in 4, i, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 31\/(-55) - (-7)\/35. Suppose 0 = 3*y + y + 20, 22 = j - 4*y. Suppose -3*g - 2 = 5*o + j, 0 = -5*o + 3*g + 14. Which is greater: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*x - 2372 - 266, 0 = -2*m - 2*x + 1060. Calculate the remainder when m is divided by 110.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*l + 8*j + 7, 3*l + 5*j = -23. Put -5, -2, l in decreasing order.\nAnswer: l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -66 - 4*o**2 + 68 + 3*o**3 - 2*o + 4*o. What is u(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.3997765 - -8.4. What is r rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7778102 kilometers in nanometers?\nAnswer: 777810200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98802023?\nAnswer: 98802023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 54\/66 - (3 + -2). Let o be ((-8)\/42)\/((-1)\/3). Let r = 1.62 + -0.62. Which is the closest to r? (a) -0.5 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14848117 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppzkqppepp. What is prob of sequence qpz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times 1068654?\nAnswer: 10686540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 198 - 196. Suppose 0 = s - 5*a - 9, -6 = -s - l*a - 4. Suppose -3*g = g + 20. What is the nearest to -1 in g, s, -13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -19 - 5. Calculate the least common multiple of 1 - (17 - 0)*-1 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + -34 + -3)\/(-1). Are -4 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16959.\nAnswer: 3, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 9. Let m be 6\/r - (-69)\/6. Suppose 4*f = -0*f - 4*v + 28, -2*v + m = 0. Solve -3*q = 17 - f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5021 = -193*r + 234*r - 232*r + 4147. Let x(z) = -4*z**3 - 2*z**2 + 1. What is the remainder when r is divided by x(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 26*s - 71. What is q(23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 - -118. Let l(h) = h**2 - 3*h + 19. Let t(q) = -q**2 + q - 1. Let m(g) = l(g) + 2*t(g). Calculate m(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2 - 7*a + 25. Let r(t) = 16*t**2 - 13*t + 50. Let o(x) = -14*f(x) + 6*r(x). What is q in o(q) = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 7. Let b = s - 10. Put 1, 1\/2, b in descending order.\nAnswer: b, 1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7\/1343?\nAnswer: 7\/1343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 548, 1230, 2050, 3014, 4128, 5398, 6830?\n\"Answer: i**3 + 63*i**2 + 486*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28223.8 - 28224. What is the nearest to -0.2 in -2, p, 0.08, 1.7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2838402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1010180, 1010182, 1010184, 1010186?\nAnswer: 1010188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 24*p - 9. Let c(y) = -25*y + 13. What is 3*c(f) + 4*z(f)?\nAnswer: 21*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5756 - -9572. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-57)\/(-4)*96\/36. Suppose -14*q + l = -12*q. What is the remainder when 53 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -14 - (1 + -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 28*j**2 + 25*j + 57. Let l be k(27). Let x(v) = v**2 + 6*v + 3. Let z be x(-6). Let u = z - -1. Solve 4*m - m + 13 = -u*o, o = l*m - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 2\/3, -1473, 2\/13, -0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.05368 minutes in hours?\nAnswer: 0.734228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*s = 3*s - 527, 2*z - 1044 = 2*s. Does 47 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 26 = -22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965 a factor of 29649137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 19 + 43 + 6026*i.\nAnswer: 6026*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2102020102 (base 3) to base 14.\nAnswer: -13490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.40012 kilometers to micrometers.\nAnswer: 48400120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 49 + -2 - (-6 - ((-17 - -39) + -17)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 7*r**2 + 8*r + 3. Let g(c) = c**3 - 11*c**2 + 11*c - 7. Let i be g(10). Suppose -4*w + 6 = -i*w. Is j(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, 1 in descending order.\nAnswer: 1, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154308 and 23380.\nAnswer: 771540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 10 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -182.0000434 - -182. Round h to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124960?\nAnswer: 2, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 2:23 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -30*t + 324. Give g(14).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3564) - (-4 + (sqrt(3564) - (sqrt(3564) + 0))))*-4 + -4 + -3)**2*-3*-2.\nAnswer: 19872*sqrt(11) + 345318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + (sqrt(500) + 0 + (sqrt(5) - -4*sqrt(180)))*-5*4*-6)**2.\nAnswer: -8400*sqrt(5) + 88200001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/91)\/(2\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 635602*t - 407415 wrt t?\nAnswer: 635602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14872, -29779, -44676, -59563?\n\"Answer: 5*o**2 - 14922*o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 538089.3us to milliseconds.\nAnswer: 538.0893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 + 0 = 0. Let v be ((-24)\/(-36))\/(l\/(-6)). Sort 0, 3, v in increasing order.\nAnswer: v, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 9*u + 3. Let z be p(9). Suppose -2*f = -m - 2, 5*m + 0*f - z*f - 4 = 0. Let h(r) = 2*r - r + m*r + 0*r. Let x(k) = 2*k. Determine x(h(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 6*i - 1. Let b be y(6). Let r(c) = -2*c - 2. Let f be r(b). Suppose w - j = 6*w - 307, -3*w - j + 183 = f. What are the prime factors of w?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a**2 + a. Let c be k(-1). Suppose 2*r = 4*o + 20, -4*r - 2 = 4*o - c. Find the second derivative of 0*l**4 + 0*l**4 - 2*l**r + 3*l + 4*l**4 wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 534564 and 76161?\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 943 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7036443?\nAnswer: 3, 260609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 6:01 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2916\/(-478)) + 29\/174. Is 0 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -137140.1 and -1.\nAnswer: 137140.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80489916*m**5 + 44*m**2 - 83256?\nAnswer: 4829394960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 18*k**2 + 2. Let z be v(-15). Let f = 4032 + z. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i + 1. Let r = -2 - -9. Calculate the remainder when z(-3) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 13\/7. Let v = 0.25 + 0.1. Let h = v + -0.25. Which is the third biggest value? (a) h (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 124954, 249924, 374894, 499864, 624834, 749804?\n\"Answer: 124970*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 354849 a multiple of 647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4 = -v. Let s = 3.9 - 3.9. What is the closest to s in -4\/3, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*z + 2*z - 5*z)*(-1 - 2 + 1) - 10*z - 7*z + 6*z)*(3*z - 6*z + 4*z) in the form u*z + t*z**2 + y and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**4 - 2*w**4 + 5*w**4 + (3*w**3 - 4*w**3 + 3*w**3)*(-2*w + 2*w + 3*w) + 0*w**4 + 4*w**4 - 2*w**4.\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13888, -27965, -42042, -56119, -70196?\nAnswer: -84273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-22)*x**(-21))**(1\/20) assuming x is positive.\nAnswer: x**(-43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391944762 divided by 130648254.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7) + 0 + 120\/28. Calculate the greatest common divisor of 12 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120112 (base 3) to base 9\nAnswer: -515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -704, -1410, -2116?\n\"Answer: -706*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*x - 105 = 118*x. Put -873, x, 5 in descending order.\nAnswer: 5, x, -873","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/24*((-2821)\/(-52) - 31)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/110 and 65\/3923754.\nAnswer: 215806470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/351297136 and -29\/229456.\nAnswer: 351297136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g - 25 = 26*g. Let p be (-39)\/8 + (273\/56 - g). Let v(u) = -u**2 - 2*u + 18. Let b be v(p). Solve 4 + 5 = -b*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10598790*d**5 + 603209*d.\nAnswer: -211975800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + p - 2*p = 55, q - 2*p = 0. Let g be (-6)\/q - 10\/(-25)*1. Let u = -9 + 4. What is the closest to 2 in u, -2\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 450, -5, 2, -32 in descending order.\nAnswer: 450, 10, 2, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a hour?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(180))*2.\nAnswer: -2 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 578 = -u + 637, -4*u + 4*s + 4836 = 0. Let m = u + -279508\/231. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 191 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7780630679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72693088 and 32.\nAnswer: 72693088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*y = 5, 4*y = -3*j + 15 - 11 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/62095115 and -167\/30?\nAnswer: 372570690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, t: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -193*j**6\/30 + 55*j**2 + j - 9. Let l(n) be the first derivative of f(n). What is the derivative of l(d) wrt d?\nAnswer: -772*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5 - (6 + 8\/(-16)*3462)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + l**2 + l + 1. Let q be (10\/8 - 2) + (-1)\/4. Calculate m(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 30?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.19 + 0.01. Let p = 2.5 + -1.5. Sort p, -1\/4, c.\nAnswer: -1\/4, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -20*b**2 + b - 2. Let c be k(-3). Let w = 326 + c. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24699019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**7\/280 - x**6\/90 + x**5\/30 - 22*x**3\/3 - 9*x**2. Let r(a) be the first derivative of m(a). Factor r(h).\nAnswer: -h*(h + 2)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2238388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8\/(j**(4\/5)\/j)*(j*(j*j**(2\/11)*j)\/j)\/(j**(-1\/6)*j))**4 assuming j is positive.\nAnswer: j**(6302\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 40 - (-47 - -32).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12921.87 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6804887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 147422563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = r - 4*r. Let y = r + 162. Let q = y - 27. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1147476 by -12.\nAnswer: -95623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -191.1 - -191. Which is smaller: d or 2.852?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 668, 662, 652, 638, 620, 598?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 1. Let p(g) = 5*g + 3. Calculate -2*d(j) - p(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 372878703*u**2 - 395310463*u wrt u?\nAnswer: 745757406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2. Let h(x) = 7*x**2 + x + 6. Suppose -4*t + 6 = 2*l, 5*l + 23 = 2*t + 2*l. Let r(a) = t*u(a) - h(a). Let q(w) = -1. Determine 6*q(o) - r(o).\nAnswer: 3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r - 4*g + 1004, -4*g = 8. Suppose 5*t = -2*s + 111, -3*t - 5*s + 61 = -s. What is the highest common divisor of t and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, m: 4, p: 6}. Give prob of sequence mgg.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 0.2, -2, -4, -52?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/53726219 or -1?\nAnswer: -6\/53726219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14918*n**5 + 113743*n**2 + 2*n wrt n?\nAnswer: 895080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15873973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1524 - -1527. Solve n*p + 5*f = 4, 3 = -2*p + 3*f - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6807?\nAnswer: 3, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -259*r**4\/24 - 13*r**3\/6 - 104*r**2. What is the units digit of h(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4, 1\/7, 1.96?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q - 3*q - 14*q + (1 + 1 - 3)*(-5 + 2*q + 5) as j*q + b and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26047553 a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310975 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 72*z**2 + 77*z + 67. Give l(-73).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*l - 35, 5*y - 3*y - 4*l + 10 = 0. What is the remainder when (y - 1 - 0)\/(21\/42) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 40*g + 2481. Calculate the lowest common multiple of b(-62) and 2 + -1 + (3 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - i**2 + 3)*(-2 + 12*i - 1 - 3*i) to the form b + m*i**3 + j*i**2 + x*i and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2. Let u be t(-1). Let f(w) = -w**3 - 2*w**2 - w - 1. Let k be f(u). What is the nearest to -2\/7 in k, -1\/5, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 16) in base 13?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*c + 132, -q + 2*q - 4*c - 27 = 0. Suppose -q - 41 = -2*i. Calculate the remainder when 110 is divided by i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54000 divided by 6?\nAnswer: 9000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-4))\/((-3)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 31\/90581?\nAnswer: 31\/90581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6*h + 4 - 4)*(1 - 6 + 3 - 1 + 1 + 3 - 2 - 2 + 2 + (2 - 4 + 3)*(1 - 1 - 1) - 4 + 0 + 6 - 2 + 0 + 0 - 4 + 3 + 3 - 5 + 3 - 2 + 2 + 0 - 4).\nAnswer: 36*h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23859838*m**2 + 3*m - 4891747 wrt m.\nAnswer: 47719676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 2813*l**3\/3 + 3*l**2\/2 - 8*l - 1. Let q be r(-8). Round q to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 21*q + 3. Let a be m(5). Suppose -a = -4*z + z. Suppose -h + i = -4, -4*h + 2*i + z = 3*i. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1433? (a) 0.1 (b) -3\/25 (c) 4\/13 (d) 0 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 199181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 3*z + 7*z)*(-5*z**2 - 102 + 102).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.044 - 0.144. What is the third biggest value in b, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397977.\nAnswer: 3, 53, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - a**2 - 3*a - 7. Let q = 9 + -14. Let n be r(q). Suppose -4*w + 0 = -n. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 x, and 1 j when three letters picked without replacement from tixstxssiqsjjj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 204\/33 + 6 + 476\/(-77). Solve 0 = -11*t + 50 - x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154011269?\nAnswer: 53, 743, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 37, 92, 169, 268?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5757*g**2 + 11512*g - 4.\nAnswer: (g + 2)*(5757*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/25760 and -73\/16100?\nAnswer: 128800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 819621.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -58. Let y be (7 + (-185)\/z)*32\/6. Let t(s) be the third derivative of -s**3\/2 + 2*s**2. Let w(f) = f + 12. Determine y*t(c) - 3*w(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 1\/3, 5, 1492, -11\/4 in ascending order.\nAnswer: -11\/4, 1\/4, 1\/3, 5, 1492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 355842870 to the nearest integer?\nAnswer: 18864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71079, -71091, -71105, -71121?\nAnswer: -71139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2277 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5112 divided by 4?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 4:36 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15256 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -31*o**2 + 123*o - 4. Determine s(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 20, -2*x + 72 = -2*a - 6. Calculate the highest common divisor of x and 748.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 182*y + 9. Let v be i(-15). What is the hundreds digit of 2\/9 + v\/(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103.93 - 104. Sort m, -2\/15, -1\/6, -5 in ascending order.\nAnswer: -5, -1\/6, -2\/15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**5\/450 + w**4\/36 - 2*w**3\/15 + 3*w**2 - 22. Let k(d) be the second derivative of j(d). Factor k(x).\nAnswer: 2*(x - 1)*(x + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 47, 46, 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2636\/133 - -138\/7. Let o = -473 - -1879\/4. Let h = -11\/4 - o. Which is the closest to -1? (a) u (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 5*w**2 - 5*w - 1. Determine l(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 5*l**2 + 5 + 0 - 4 - 2. What is the tens digit of w(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*d - 3*w, 3*d + w + 4*w = 3. Let l(j) = -3*j - 7 - j + d + 2*j. Determine l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1199919 to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/9*93*176\/210056.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 46 = -6*o, 16 = -166*o + 168*o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18050 is divided by 461?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 11\/2)*(-1616)\/12. What is the common denominator of (3\/16)\/(s\/(-140) - -2) and 19\/16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3*s = 60. Let g = 16 + s. What is the greatest common divisor of g and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -20*t**2. Let m(g) = 279*g**2. Give c(m(y)).\nAnswer: -1556820*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from oooooovoovoooooooo.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3799791?\nAnswer: 3, 19, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from cycpypppppp.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 11.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(5184)*2 + sqrt(5184))\/(-2*sqrt(12)*-2).\nAnswer: -4 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.2. Which is the closest to 1\/3? (a) 1\/3 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -347, -22 in decreasing order.\nAnswer: -22, -78, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26489428.\nAnswer: 2, 7, 397, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, l: 5, a: 1}. Give prob of sequence lvv.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 459279 to the power of 1\/2, to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 632612298 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 36\/160*(-2112)\/(-99)*(-15)\/2\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -11 + (12 - (3 + 1)) - 8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.76 in -1\/23, -0.5, -2, 0, 1\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 70. Let b = 74 + v. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 12:02 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -11*t**2 - 2*t + 1. Let j be (-12)\/(-9) - ((-32)\/12)\/(-8). Calculate c(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a + 3. Let k = 8 - 6. Let g(b) = 2*b - 2. Let z be g(k). Suppose 7 + 2 = z*t + u, -5*u + 35 = 5*t. What is c(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*10\/(-70)*(-54)\/27.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 40068?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 16. Let k(f) = 26*f. Let r(t) = -11*t. Let m(u) = 3*k(u) + 7*r(u). What is m(w(n))?\nAnswer: 2*n + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/(-4)*(-1077)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -12.09. Let s = -1.41 + r. Round s to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6989\/1141 and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*w - 5*w + 14330, -5*w - 5*s + 14370 = 0. What are the prime factors of w?\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123b0b (base 12) to base 13\nAnswer: a52b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*g - 106*g + 24 = -5*b, 2*b = 3*g - 18. Let o(k) be the third derivative of 4\/3*k**3 + 14*k**2 + 0 + b*k - 1\/6*k**4. Give o(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*j**2\/3 + 52*j\/15 + 2\/15.\nAnswer: 2*(j + 1)*(25*j + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1043, -789, -535?\n\"Answer: 254*l - 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 33*u**3 + 3*u**2 - 4*u + 2. Let s be o(1). Let r be (s\/4)\/((-2)\/(-20)). Let l = -84 + r. Solve l = -2*d - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 1)*(0 + 1 + 1) + 0 - 4 + 6 + 2 - 3 - 1)*(3*o**2 - 4*o**2 + 2*o**2 - 2).\nAnswer: 2*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (-8 + 4)) + 37 + 12?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*c + c**3 - 19*c)*(3*c + c**2 + 1 - 3 - 4*c).\nAnswer: c**5 - c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2 - 6. Let o(q) = 2*q**2 + 1 - 6 - 7*q**2 - 3*q**2 + 4*q**2. Let j(r) = -5*k(r) + 6*o(r). Let c(t) = 17*t - 6. Give c(j(f)).\nAnswer: 17*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3) + 9 + -3 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754*v + 2057*v + 10185 = 729*v + 679*v for v.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, 11, 27, 45, 65, 87?\n\"Answer: u**2 + 11*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -17 + 7 + (65 - 37).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2)*p)**(2\/101)\/((p\/(p**(2\/5)\/p)*p)\/(p**(1\/9)\/p)))\/((p**4\/(p**(-4)\/p))\/(p**(2\/5)*p**(-3))) assuming p is positive.\nAnswer: p**(-68534\/4545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 533, -3, 1, 7, 19, 2, -2 in descending order.\nAnswer: 533, 19, 7, 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4 + 420*x**3 - 2980*x**2 - 11940*x - 8536 = 0. Calculate x.\nAnswer: -2, -1, 11, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 569*x + 11821. What is s(-21)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1482\/18525)\/(8\/5).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785.6111t to grams.\nAnswer: 785611100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/71, 2\/17, 2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(6\/(-15) - (-92124)\/230235) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/15 + 312\/120.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 92 = -4*x - 72, 0 = -3*x - n + 28 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -q + 20, 2*q = -q - 5*l + 68. Let c be (0 - -10)*(-2)\/(-5). Suppose -c*v + 245 = v. Calculate the remainder when v is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 times 46477?\nAnswer: -11619250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Suppose 0 = 5*y - k*l - 25, 4*y - 6*l + l - 37 = 0. Sort -4, y, 5 in ascending order.\nAnswer: -4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34488966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3653.81 + -1.1002?\nAnswer: 3652.7098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (400*-90)\/(10\/820). What is z rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43214 and 34534?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.97 - -10.97. Which is the nearest to z? (a) -1\/2 (b) -9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/448691 (b) -0.2 (c) 10 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27353091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i**4 - 6*i**3 + 6*i**2 - 2*i + 9. Let n = 2 + 7. Let s(x) = -5*x**4 + 3*x**3 - 3*x**2 + x - 4. Let m(t) = n*s(t) + 4*w(t). Factor m(v).\nAnswer: -v*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32374900 divided by 5\nAnswer: 6474980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/10 and 79\/862?\nAnswer: 4310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 5*i**8\/42 + i**5\/20 - 29*i**4\/24 + 7*i**2 - 4*i. What is the third derivative of t(k) wrt k?\nAnswer: 2400*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -544, -3, 30 in increasing order.\nAnswer: -544, -3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (8 - ((-10 - (11 - -26)) + -6)) + 0?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**5\/5 + 868*g**4 + 518896*g**3\/5 - 56444*g**2\/5 - 6798066*g\/5 - 6227064\/5 = 0.\nAnswer: -2043, -127, -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11789978+-1230.8\nAnswer: 11788747.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -122. Is 6*((-45848)\/p + -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 523926*y**3 + 123833?\nAnswer: 1571778*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = 3*y - o, 3*o = -y - 2*o - 210. Is -210 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 58, 270, 622, 1102, 1698, 2398, 3190, 4062?\n\"Answer: -2*v**3 + 82*v**2 - 20*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 + y**2 - 5*y**2)*(2 - 2 + 2*y**2).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3494412563?\nAnswer: 23, 2693, 56417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -1 (c) 23 (d) 0.3 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 17*t**2 + 17*t + 20. Let b be a(18). Solve 5*s - b*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12*n**2 + 3*n + 1. Let u(r) = 24*r**2 - 7*r - 3. Let g(k) = -5*o(k) - 2*u(k). What is the tens digit of g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r*r**(-34))**(-4\/9) assuming r is positive.\nAnswer: r**(152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 306.6 - 306.4. What is the nearest to 1 in 4, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1326 - 274*n - 272*n - 1431. Let h(y) = -21*y - 4. Give 4*c(l) - 105*h(l).\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d + 4*p - 227, 5*p - 84 = -2*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.6 - 5.8. Let s = d + -2.8. What is the smallest value in -1\/2, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11001848029 - 0.12.\nAnswer: -11001848029.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 239 + -5?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 f, and 1 k when four letters picked without replacement from {k: 5, f: 2, s: 3, g: 1, r: 1}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**(-2\/17)*r))**(-8) assuming r is positive.\nAnswer: r**(-152\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -24. Suppose -19 = -3*i - x. Suppose 0 = i*o - 8*o + 472. Is o a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14.83? (a) -3 (b) 10 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvxcxxcvcxx. Give prob of picking 2 x and 1 v.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/126)\/(8\/(-432)*-6)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccjcjpjppj. What is prob of sequence jpc?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5409 + 7331 = -455*z for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 3*t**2 + 6*t**2. Let j(p) = p**2. Determine j(b(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 59*b + 288. Calculate q(-11).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 2*d**2 - 3*d + 7*d + d**2 - 9. Let r(w) = -w + 2. Determine -9*r(x) - 2*z(x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -39063, -38963, -38863, -38763?\n\"Answer: 100*v - 39163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*n - 235, d + 4*n = 5*n + 57. Let r = d - 137. List the prime factors of 1\/(-4) + r\/(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392472 is divided by 490?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 0. Suppose 0 = -x*b - 4 - 4. Put 3, 4, b in descending order.\nAnswer: 4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*(-2*(sqrt(475) - (sqrt(475) + -1)) + 1 - (sqrt(475)*2 + -1)*1))**2*-3.\nAnswer: -205200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 18*z**2 - 4*z + 13. Let c(d) = -d**3 + 6*d**2 - 4. Let n be c(-4). Let m = -139 + n. Is f(m) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -2 + 4 - (2 - -89566). Let q be (-1 - 0)\/(3\/(-4698)). Let l = q + k. Round l to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccucccpppqcucqpxp. Give prob of sequence pxp.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 968572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220978 is divided by 71927.\nAnswer: 5197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaha when four letters picked without replacement from aaadahaddddhd?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhqqzqzzzzwqwzqzuqh. What is prob of sequence uhqz?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -37*w - 47. Let d be z(5). Let y = d + 418. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 1\/9, -5, 7, -3, 2 in increasing order.\nAnswer: -5, -3, 1\/9, 2, 7, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2901271.011 + -0.2.\nAnswer: 2901270.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4876 - 4594. What is the remainder when 579 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4. Suppose b - 6*b - 5 = 0, t = -y - 5*b + 8. Suppose l + 3*o = y, 6*o = 5*l + o - 65. Calculate the remainder when 38 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117971 + 126160. Let y = m - 244126.99668. Let n = -4 + y. Round n to 4 dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 3*r - 6. Suppose -2*k = 18 - 6. Let t be h(k). Let d = t - 3. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173 + -171. Suppose m*v - 152 = -3*z + 222, -4*v + 5*z = -792. What is the remainder when v is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*q + 421*q = -852 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14973603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -3*(sqrt(176) + -1) - (sqrt(176) + (sqrt(176) + 1)*-4))**2*-2 + 1.\nAnswer: -449 - 112*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1, 2, -1801 in increasing order.\nAnswer: -1801, -19, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-1\/6)*c)*c)\/c*c**(-1\/7)*c)\/((c**(1\/25)\/c*c)\/c)**40 assuming c is positive.\nAnswer: c**(8279\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133 - -118. Let w be -24*(-3 - 1 - b\/10). Calculate the greatest common factor of w and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120662 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -20*r**3 + r**2 - 3*r + 3. Let t be h(2). Let s = -106 - t. Calculate the remainder when s is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 9 + 3*r**2 - 2*r**2 - 11*r. Let h be q(7). Is 6 a factor of 8\/h + 70\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a day in hours?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - 0.3. Let h = -3.94 + -0.06. Let v(x) = -2*x - 112. Let q be v(-55). What is the closest to h in s, q, 2\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 0 - f**2 - 1\/6*f**4 + 0*f**3 + 0*f. Let b(u) = 4*u**2. Give b(c(l)).\nAnswer: 64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o - 54*o**2 + 4*o**4 + 54*o**2 wrt o.\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 201\/80 in -125, -6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + d - 1. Let j(a) = -3*a**3 + 4*a**2 + 6*a - 9. Let x(h) = j(h) - 2*t(h). Let k be x(5). Let b = 44 + k. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - -28. List the prime factors of u.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**5\/180 - 13*g**4\/24 + 70*g**3\/9 - 3*g**2 + 173*g. Factor n(j).\nAnswer: (j - 35)*(j - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -200573\/8 + 25072. Factor -3\/8*n + p + 3\/8*n**3 - 3\/8*n**2.\nAnswer: 3*(n - 1)**2*(n + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18, -32, -46, -60?\n\"Answer: -14*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 20511?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -144 or -146?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 0. Let z = 6 + x. Let a = z - 0.0000094. Round a to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -3*c - 4*m, -3*m + 63 = -4*c + 5*c. What is the highest common factor of c and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1586)\/1098*(-45)\/39\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -14*n - 29. What is the remainder when p(-4) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.76761216 to one dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5546 - 1291. Suppose -3*i + 6393 = -2*b, -m = 4*i - 6*i - b. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 489.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -123203 - 324123?\nAnswer: -450326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9003 - 66.0997. Which is the fourth biggest value? (a) g (b) 0 (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*i + 323 = -252 + 45 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 = 9. Suppose -2 = -o + v. What is the tens digit of (2 - o)*26\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, h: 1, a: 1}. What is prob of sequence aeha?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8260847 is divided by 41933.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 23*y - 7. Let q be v(12). Suppose -o + q*a = -65, -3*o - 24*a = -21*a - 177. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -0.0314?\nAnswer: -0.000314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*d + 641 + 33 + 514 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -34\nAnswer: 19\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 860.61577 rounded to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.74 and -32?\nAnswer: 28.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 2*i**2 + i + (1 + i**2 - 1)*(3 + 0 - 1) - 104 + 104 + 18*i**2 - 2*i**2 - i + i in the form z + m*i**2 + u*i and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-9039)\/168728)\/((-6)\/(-96))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7960.71 rounded to the nearest 100?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1103\/44 + -101\/4. Let f = 0.1 + -0.2. Which is the second biggest value? (a) f (b) -3\/8 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1847 divide 15397380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(6) - -6*(sqrt(96) - sqrt(6))))\/((-2*((sqrt(99) - (sqrt(99) - (-2*sqrt(99) + sqrt(99)))) + sqrt(99)) - sqrt(99))\/sqrt(11)).\nAnswer: -sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -136 and 979765449.\nAnswer: 979765313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 252334000 to the nearest one million.\nAnswer: 252000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-2\/5))**(6\/23)*l**13\/(l\/(l\/(l**(-1)*l*l))) assuming l is positive.\nAnswer: l**(1428\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**44\/(y*(y**(-1\/3)*y)\/y)**(-2\/33)*(y**(-2\/7)*(y**(1\/7)\/y)\/y)\/((y\/(y*(y\/(((y**(-2\/5)*y)\/y)\/y*y*y))\/y))\/y*y**(-1)) assuming y is positive.\nAnswer: y**(150026\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*a + 1625 = 136*a. Solve -15 = a*f, -3*q + 2*q - 1 = f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 2.26, 3119, -2, 1, 1\/3?\nAnswer: 2.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i - 4*i - 16*i.\nAnswer: -29*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 2*p**3 - 2*p**2 - 4*p - 8 + 2*p**4 + 2 in the form q*p**3 + v*p**2 + x + k*p + f*p**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/25)\/b*b)\/b**15 assuming b is positive.\nAnswer: b**(-348\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + a - 161 = 0, -39 = 3*y + 4*a + 53. Let x = 41 + 19. Let l = y + x. Calculate the remainder when l is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-11) + (-70)\/(-220). What is the nearest to 4\/5 in w, 5, 0.2, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 12:28 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4690 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 23 - 39)*(-17 - 66*o + 3 + 14).\nAnswer: 2178*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-16 - 13*t**3 + 5*t**3 + 6*t**3).\nAnswer: 4*t**3 + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190)\/((-160360)\/633)*(-56)\/(-9).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -1\/60*a**5 + 25\/6*a**3 - 2\/3*a**4 + 0 + 0*a + 3*a**2. Let c be d(-17). Solve 20 = 4*t + 3*r + r, 4*t - 3*r + c = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 12. Let f = -26 + 59. What is the greatest common factor of f and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*a - 135 = 0. Suppose -4*w - 7 = -a. Suppose w*m + 2 = 4*m. Sort m, 2\/15, -0.5 in decreasing order.\nAnswer: 2\/15, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 29 - 100 - 38*k + 43. Let s be a(-1). Solve 3*d - 22 + s = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1133*m + 13920. Let o be n(-118). Round o to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 - 15\/(-5)*9. What is the tens digit of 6594\/10 + 4\/a*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3309419 and -3309418 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 232 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6082667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 29 + 29 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -366 (base 10) to base 6.\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 195598, 782353, 1760286, 3129403, 4889710, 7041213?\n\"Answer: a**3 + 195583*a**2 - a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2 + (-6*(0 + sqrt(75))*-5 - (1*(sqrt(75)*2 - sqrt(75)) - (sqrt(75) + -1*2*sqrt(75)))) + 4)*-2)**2.\nAnswer: -940864 - 8960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 5*o**2 - 4*o - 9. Let d be n(6). Let l = -5.3 - -5. Which is the third biggest value? (a) -1\/2 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-3*f**2 + 2*f**2 + 2*f**2 + (0*f + 3*f - f)*(-4*f - 4*f + 6*f) - 10*f**2 + 9*f**2 + 5*f**2).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 110, -16, 4, -75, -2, -5 in descending order.\nAnswer: 110, 5, 4, -2, -5, -16, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*16570\/(-22 + 12).\nAnswer: 5, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-14))\/(6\/84)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1137430\nAnswer: 2\/568715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100121 + 1302100011?\nAnswer: 1301333230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, d: 10}. What is prob of picking 4 d?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d75 (base 14) to base 7.\nAnswer: -65505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 1906 (b) 0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8771856 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 21410*j - 235413. Determine t(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18621*i**4*z + i**4 + 2*i**3*z + 4*i**3 + 2*i**2*z + 207075*i**2 wrt i?\nAnswer: 446904*i*z + 24*i + 12*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 903 - 3655 = 0. Let g be 1*((1 - 1) + p). Let r = -81 - g. What is r rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19832828?\nAnswer: 2, 127, 39041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.12 - 0.12. Let z = s - -3. Which is the second biggest value? (a) z (b) -4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148959, -148970, -148987, -149010, -149039, -149074?\nAnswer: -149115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48859 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:43 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (4 - ((1 - 5) + 9) - -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*x - 6 = 6*c, -x = 0. Let o(w) be the first derivative of -w**3\/3 - w**2 + 2*w - 4. What is o(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*x - 29*x**2 + 21*x)*(-5 + 5 - 4*x + 0*x - x + 0*x + x + 3*x - 5*x + x + 3*x - 6*x + (3*x + 0*x - 2*x)*(-3 - 2 + 4)).\nAnswer: 261*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*z - 6, z + 10 = 3*y + 4. Let u = 0 - z. Let i be 12\/21*(-35)\/10. Is i bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -455*r**2*x**3 - 4*r**2*x + 6591*x**3 wrt r.\nAnswer: -910*r*x**3 - 8*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2735827*b**3*o**3 - b**3*o - 5*b**3 - b**2*o + 17*b*o**3 + 4871*b*o + b - 4*o wrt o?\nAnswer: -16414962*b**3*o + 102*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 169597115239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 60\/18 - (-1)\/(-3). Suppose -3*t + 9 = l, -9 = -k*l + 6*l. Suppose u + 7 = -2*x, 5*x = -t*u + 2*u - 18. Solve u - 2 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = 94 + 38. Let h(u) = u + 2. Let n be h(-4). Is n greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, 3, -6, -237 in descending order.\nAnswer: 3, -3, -6, -12, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(20)\/(sqrt(30)\/(sqrt(12)\/sqrt(4))) + 0.\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64 - 10938.43.\nAnswer: -10874.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*z**2 + 96*z**2 - 57*z**2.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28009\/7 or -4001?\nAnswer: -4001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 206 and 473182?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) - 4*-4*sqrt(200).\nAnswer: 170*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 739853067 to the power of 1\/4, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -160*-48*55\/(-10560)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t - 4*m, 5*m = -5*t - 10. Let l be (-1)\/(t*(-4)\/208). Suppose -5*f = 12 + 53. Are f and l unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/65640 and 34\/21.\nAnswer: 459480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1812*f + 5447. What is b(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x - 7 = -32*x + 5*y, 0 = 4*x + 5*y + 16 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/30 + 44*v**5\/15 - 242*v**4\/3 + 9*v**2 + 6. Determine d so that r(d) = 0.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1886*n - 282891. Determine r(-150).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(165)\/(sqrt(20)\/(sqrt(8)\/sqrt(2))))\/(sqrt(75) - -6*(sqrt(75) + sqrt(75) + -1*sqrt(75) + sqrt(75))))**2.\nAnswer: 11\/4225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229072436 - 229072436 - 1459*v**2.\nAnswer: -1459*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12285 is divided by 332.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-10)*2 + 6876\/(-30). Let d = 576 + f. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a century?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 13, -5, 125019 in descending order.\nAnswer: 125019, 13, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.092 and -110047.\nAnswer: -110046.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:35 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 563200 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjviwwxvxwjijwjwv. What is prob of picking 1 i and 1 x?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 12. Let x(h) = -h**3 + 5*h**2 + 7*h - 3. Let a be x(6). Suppose -12 = 4*z + a*k, 2*z - 2*k = -5*k. Calculate o(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 6. Let z be n(-3). Suppose 0 = 4*u + 6*d - z*d - 1047, -3*u + 794 = 4*d. Suppose u = 42*r - 36*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 8*d + 7548 = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -126*n + 15. Let l(o) = -63*o + 7. Calculate 5*l(f) - 2*p(f).\nAnswer: -63*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2075031*n**3 - 138986*n**2.\nAnswer: 12450186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 61, -1\/3, -2, -0.1, 3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1947 + -1483. Calculate the remainder when q is divided by 124.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5851038 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**2 - 1\/120*y**6 + 0 + 1\/3*y**3 + 1\/12*y**5 - 5\/24*y**4 + 0*y. Let p be (-3 + 0)\/((-3)\/4). Calculate i(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2 + (sqrt(208)*1 - sqrt(208) - (sqrt(13) + -2)*-1))*-5 + -5)**2.\nAnswer: -180*sqrt(13) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439056 is divided by 1014?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**32*t\/(t*t\/((t*t*t**(-5\/2)*t*t)\/t))*t**(-12)\/(t\/(t*t**30)) assuming t is positive.\nAnswer: t**(99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 173, 170, 149, 98, 5?\n\"Answer: -2*m**3 + 3*m**2 + 2*m + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(900) - sqrt(900)*-2))\/(sqrt(60)\/(sqrt(144)\/(3*sqrt(12)))).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 4*t - 4*t)*(-5 + 7 + 2) - t + 4*t - t - 11*t + 10*t + 3 - 1 + (-3*t - 2*t + t)*(-3 + 0 + 2).\nAnswer: 13*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 7*i + 55. Suppose -i*u = -11*u + 768. Calculate the common denominator of 6\/7 and u\/(-20) + 6\/2.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - -27. Suppose g - 43 = -2*o, -3*g + 34 + m = 4*o. Calculate the remainder when 64 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 32*y**2 + 7*y - 7. Let r(t) = 11*t**2 + 2*t - 2. Determine -7*r(m) + 2*x(m).\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 452*n. Let d(c) = -c + 3. Let a(o) = -3*o + 7. Let s(w) = -3*a(w) + 7*d(w). Determine s(j(q)).\nAnswer: 904*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 88*s**3 - 66*s**3 - 2*s**2 - 84*s**3 + 349*s**3 - 105*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5419 - 3637. Suppose -t + s = -577. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 7857027 + 7857027.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -608661 or -608807?\nAnswer: -608661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 615*q + 3072. What is m(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.222843 or -86\/9?\nAnswer: -86\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 3*a + 0*a)*(-1 - 2 + 4)*(82*a**4 - 64*a**4 + 135*a**4).\nAnswer: 306*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41563\/84 - 3498\/7. Find the common denominator of f and -65\/384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0226 - 0.0226. What is the nearest to r in 0.6, -7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4 + 3596636*u**3 + 64740904*u**2 - 143868320*u = 0. Calculate u.\nAnswer: -20, 0, 2, 899177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*192\/(-9360))\/((-1)\/(-27)*-4).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 6*n - 4. Suppose -2*j + l + l = -10, -8 = -n*l. Suppose 3*h = j*h + 8. Let p(q) = q**2 + q - 2. What is p(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010011110111000111 (base 2) to base 3.\nAnswer: 122110012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 25 (c) -0.03 (d) 0.1 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16767761 (base 8) in base 13?\nAnswer: a76bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 14) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 9*s**2 + 28*s - 14. Calculate z(-14).\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c - 9*c = 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/14)\/((-1)\/12). Let d be (4\/f)\/(4\/6). Which is the closest to -2? (a) d (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 + -48 - (-14 + 63)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*121.1\nAnswer: 12.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from {v: 1, p: 2, m: 2, y: 4, l: 1, n: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*f = -2*f - 12, z + 5*f = 12. What is the third derivative of -3*o**4 + 4*o**4 + o**4 + o**z wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 182*b**2 - 11*b + 2005. What is i(182)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/13? (a) 2\/7 (b) 2\/5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1242*o + 1230*o - 68 = -4*h, 0 = 5*h - 2*o - 111 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*j - 29. Let z be (-2 - -1 - 0) + j. Suppose 0 = 3*r - 3*h - 42, 4*h - 5 = -13. Calculate the greatest common factor of z and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228 - 23. Let s(r) = -16*r - 2. Let f be s(6). Let d = f + t. What are the prime factors of d?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -3.05, -0.02, 0.018, -2?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**3\/2 + 57*c**2\/2 + 1900*c. Give i(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 4:39 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -11*s + 133. Let w = 55 - 44. Calculate the lowest common multiple of s and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152.9454*-0.08\nAnswer: 12.235632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, j: 2, f: 2}. Give prob of picking 1 j and 3 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*w**3 - 79*w**3 - 9*w**3 + (-2*w**3 + w - w)*(2 + 2 - 1).\nAnswer: -67*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0305 + -0.3725. Round y to 2 dps.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -111\/25, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f - 220. Let h be d(25). Suppose -p - 1220 = -h*p. What is the highest common divisor of p and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from {f: 1, y: 2, s: 3, o: 1, r: 4}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 - 16*k**2 - k - 21. Let m(h) = -3*h - 3. Let w be m(-4). What is the units digit of y(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002646578 rounded to 7 decimal places?\nAnswer: -0.0000265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*r)*(0 + 2 - 4)*(-2 + 3 + 1 + (-5 - 2 + 5)*(-1 - 3 - 3))*(-4*r + 2*r + r).\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 68*i**2 - 359*i - 1103. Give k(-3).\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0967127 kilograms in nanograms?\nAnswer: 96712700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 1. Let t(s) = -4*s - 7. Let u be (-2)\/(-6) + 2\/(-6). Let j be u\/5 - 1\/(-1). Determine j*t(k) - 6*b(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72 + 17564?\nAnswer: 17636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36, -74, -112, -150, -188, -226?\n\"Answer: -38*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**3 - 17*u**2 + 60*u - 59. Let q be z(27). Let n be (-1 + 2 - -299)*q\/(-21). Round n to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.9 + -27. Which is the nearest to t? (a) -7 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 9074847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/124 and -15\/112592.\nAnswer: 112592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + m - 16. Suppose 6 = -n - m. Let q be 6*2*(-5)\/n. Solve -5*z - q = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from skcskn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 2*b**2 - 4*b - 3. Let c = -1 - 1. Let i be s(c). Determine l, given that 7*l**3 + 1 - i*l**2 - l + 2*l - 4*l**3 = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 27, 1, -1395, 5 in descending order.\nAnswer: 27, 5, 1, -57, -1395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (2*sqrt(18))\/sqrt(6) + sqrt(3) + -3 - (6*(5 + -2*sqrt(192)))**2).\nAnswer: -28554 + 5763*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/7)\/(68\/(-3808))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15981979.6 rounded to the nearest one thousand?\nAnswer: -15982000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**3 + 56*q**2 - 212*q + 160 = 0?\nAnswer: 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**2 - 1265790*i + 3797325 = 0?\nAnswer: 3, 253155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddedddeedede.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.788645ml in litres?\nAnswer: 0.004788645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 4, 2, 44 in increasing order.\nAnswer: 0, 2, 4, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/60 and -149\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/((-10)\/(-6))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 11. Let k(q) = 1. Let b(i) = -4*k(i) - p(i). Give b(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 30*g**2 + 9*g + 40. Is 86 a factor of u(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-10) - (0 - 0). Let m = -12.5 + 0.5. Let j = m + 13. Sort j, 4, s in increasing order.\nAnswer: s, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 10*w + 8. Let a = 6 - 15. Let t be o(a). Let p(c) = 3*c**3 + 2*c**2 - 1. Give p(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 + 11 - (185 - -1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 4*b - 4 + 32, 0 = -3*y - 4*b - 25 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05819 times 4?\nAnswer: -0.23276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 4762*r + 4762*r. Let y(a) = -5 + a - 10 + 2*a. Determine y(d(j)).\nAnswer: 3*j**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9 - 9\/(-7 - -8). Put 0, 4, v in decreasing order.\nAnswer: 4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 16 = r, 25 - 9 = 4*p + 5*r. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 3, 5, -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 2*x**2 + x + 2. Let a be z(-2). Suppose -t - 20 - 5 = a. Let q = t + 51. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 682 divide 96162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 45 (c) -2 (d) 9 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2165, 8.\nAnswer: 1, 8, 2165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -111011001 (base 2) to base 4\nAnswer: -13121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2. Let k(c) = -50*c**2 - 19*c**2 - 2*c**2 + 10*c**2. Calculate v(k(m)).\nAnswer: -7442*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, k: 5}. Give prob of picking 3 k and 1 c.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -236d (base 15) in base 8?\nAnswer: -16550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2, 23, 80, 181, 338, 563, 868, 1265?\n\"Answer: 2*b**3 + 4*b**2 - b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.0337 to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1932166 is divided by 196.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3127*q = 152236 - 11521 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 6:44 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.8 + -28.9101. Let w = y + 0.170092. Let m = -0.06 + w. Round m to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 17.2. What is the fourth smallest value in 1\/2, 1\/3, 2\/9, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 819*q**2 - 131*q + 88. Is d(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3359, 3358, 3357, 3356, 3355, 3354?\nAnswer: 3353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641498552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 496032832.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 127*y + 3802 = 0, -2*m + 2*y - 7290 + 7354 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -2\/7, -0.8, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 606*b**2. Let v(s) = -2*s**2. Determine v(y(z)).\nAnswer: -734472*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 7. Suppose -k + h + 0 = 0. Is 1 - 2 - k*-10 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 5*m**2 + 5*m**2 + (-m - 2*m + 4*m)*(-5 + 2*m + 5) + 0*m + 0*m + 2*m**2)*(-3*m**3 + 2*m**3 + 0*m**3).\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, e: 1}. What is prob of sequence cecc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, y: 1, u: 2, f: 3, e: 10}. What is prob of picking 1 y, 1 u, and 1 r?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/56*10832\/2031?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03003 - -0.06003. Which is greater: -37 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9109410?\nAnswer: 2, 3, 5, 303647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100066, -800537, -2701884, -6404569, -12509054?\nAnswer: -21615801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sussuusxsxssxx. Give prob of sequence uu.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.241.\nAnswer: -1.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 11 = 13*l, -3*a - 1132*l = -1129*l - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6625, -13081, -19525, -25951, -32353, -38725, -45061?\n\"Answer: p**3 - 6463*p - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 67, 101, 125, 133, 119?\n\"Answer: -i**3 + i**2 + 38*i + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -541 + 825. List the prime factors of j.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7 - 4 - 2*a - 3*a - 4. What is p(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by 163.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 8. Let d = -0.04 - -0.06. Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22 + 29 + 175*o**5 + 34 - 34*o - 52*o**5 wrt o?\nAnswer: 2460*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1276.20769 + 1277.83768927. Let r = -1.239 + -0.391. Let k = j + r. What is k rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90.19246+129.8\nAnswer: 39.60754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -2855099\/45?\nAnswer: -2855099\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:33 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((8 - (10 - -7)) + -4 - -11) + 61 + 52\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22727489?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86998 + 4.\nAnswer: -86994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 423 - 54302114?\nAnswer: -54301251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -153493 - -3?\nAnswer: -153490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132829.\nAnswer: 19, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0643 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284404 is divided by 302.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77.3 - 81. Let m = -2 + 1.7. Let i = m + g. Which is the third biggest value? (a) 0 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-7)\/(-6)*180\/(-315)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 + 71?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = 2*y - 0*q, -y + 2*q = -2. Let k be y\/1 + 8\/(-2). Let p = 5 + k. What is the remainder when 5 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(78) - ((sqrt(78) - (sqrt(78) + 1*sqrt(78))) + sqrt(78)) - sqrt(78))*-5)\/((sqrt(18)*1)\/sqrt(3) - sqrt(216)\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a2c + -31a?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 10*b**2 + 13*b + 8. Let q(z) = 2*z**2 + 4*z + 1. What is the remainder when a(-8) is divided by q(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/690475 and -17\/87525.\nAnswer: 6214275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*(-48*z - 22*z + 13*z) + 0*z - 2*z + 6*z in the form v + q*z and give q.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10172, -10171, -10170, -10169, -10168, -10167?\nAnswer: -10166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16114 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50 + -84813?\nAnswer: -84753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*a + 1472*a + 307*a**2 - 1594*a.\nAnswer: 307*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128 + -96 + 48\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2534\/4313?\nAnswer: -2534\/4313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r + 3 = 0, 0 = -v - 5*r - 1. Which is the third smallest value? (a) 0.2 (b) 1\/9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1 - 5 - ((5 - -2) + -8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -180*y - 720. Let h be t(-4). Let v(r) = -31*r. Let l be v(-2). Calculate the lowest common multiple of -5 - (h - (l + 0)) and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -237, 3\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 8:28 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 1 + (-14)\/((-4)\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 18. Is r less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 80 = -2*x, -2*f - 5*x + 0*x = 73. What is the units digit of (f\/(-12))\/(2\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192 - -192. Let j(i) be the second derivative of -2*i - 1\/15*i**5 - 8\/3*i**2 + 1\/9*i**4 + 8\/9*i**3 + n. Factor j(y).\nAnswer: -4*(y - 2)*(y - 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 8140960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + 0*q**2 + q**2 + (0*q + 2*q + 0*q)*(5*q - q - 2*q) + 3*q**2 - q**2 + 0*q**2 + (0*q - 5*q + 3*q)*(-3 + q + 0*q + 4).\nAnswer: 7*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 108, 3, -1 in descending order.\nAnswer: 108, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*2\/(-3). Let m = -10.715 - 2.195. Let l = m + 12.81. What is the closest to p in l, -0.3, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 40, 33, 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -9, 1.1, 0, 201, 0.3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77802 + 10114179\/130. Let x = 44719\/130 + -344. Let y = x - j. Calculate the common denominator of -19\/4 and y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 5 - -7) + 37 + -48 + 42 + -6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-153) - 3009\/(-10404)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (105\/(-14))\/15*(8 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205918479?\nAnswer: 617, 1954487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*c - 2277 + 2308 = 0, 42 = u - 10*c for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*x**4 - 14370*x**3 - 19100*x**2 - 6360*x.\nAnswer: -5*x*(x + 318)*(3*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -800a - 217?\nAnswer: -8225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6*j = 0. Suppose h = -j*h + 2. Put h, -3, 3 in descending order.\nAnswer: 3, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051115 (base 7) in base 13?\nAnswer: ca3b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1695*g**3 + 9432 with respect to g.\nAnswer: 5085*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + r + 27, 5*r + 36 - 5 = 2*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 892 + -893. What is the third smallest value in -1\/3, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 4*p. Let m be (-2 + 0)\/((-5)\/(-15)*-3). Let g be t(m). Solve g = r - 0*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5\/11 (b) 0.4 (c) 333 (d) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -987 times 237?\nAnswer: -233919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117100169 to the nearest integer?\nAnswer: 10821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -1259284, 20.\nAnswer: -1259284, -2, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 10:25 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 25. Let w = 0 + p. Let t = w + -15. What is the nearest to 10 in t, 2\/3, 1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80187 to the nearest one thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -804 = -2*d - 2*q, 624*d - 619*d - 2022 = -2*q. What is the remainder when d is divided by 55?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 11*p**2 - 13*p - 762. Let y be q(-38). What is the greatest common factor of 732 and y?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 37*w**2\/2 - 27*w - 955. Give b(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 6*m - 4. Let o be b(-5). Let q(y) = y - 1. Let n be q(o). Let z = 103\/4 + -25. Which is greater: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-3))\/(-3 - (-7)\/2). Suppose -2*n + 8 + 2 = 0. Suppose n - 5 = -h*r. Solve r = 5*u + 4*y - 19, -y = 2*u + y - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k - 188 + 154 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/(5\/((-100)\/(-8)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a day in minutes?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3996 - -40.\nAnswer: -3956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 846, 908, 1176, 1752, 2738, 4236?\nAnswer: 6348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2187) + -1 + -4)**2.\nAnswer: -270*sqrt(3) + 2212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*p + 138*p = 10, 3*o - 12 = -3*p. Suppose 0 = -2*x + 3 + 5. Solve -20 = -2*z - x*c, -16 = o*z - 0*z - 5*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 6*s**2 + 3*s + 7. Suppose 9 = -3*j - i - 12, 4*j = -4*i - 36. Determine d(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 1, 5, 25, 67, 137, 241, 385?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 166585*s + 19 + 26 - 62 - 166584*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 + -80. Let n(f) = 3*f**2 - 7*f - 7. Let m(x) = x**2 - 2*x - 2. Let g be ((-752)\/20)\/(6\/(-15)). Let u = 101 - g. Determine k*n(i) + u*m(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2666356 divided by -34628\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, -8.\nAnswer: -15, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4\/98 + (-18056)\/2989\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 0 - 5*u + 0. Let v(f) be the first derivative of f**4\/12 + 2*f**2 - f + 35. Let c(a) be the second derivative of v(a). Give c(t(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + k + 6. Let f = -4 + k. Let u be (f - -137) + 0 + -2. Round u to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3397 in 267, -4, -3, -5?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + ((15 - 8) + -3 - 26) - -11\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 9*h - 4. Let l be 3 + ((-81)\/(3 + 0) - 1). Let j = 17 + l. What is the remainder when 15 is divided by a(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (25\/(-7) + (-15)\/(-5))\/(38\/(-89509)) is divided by 333.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1442067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k**(-1)\/k)*k**(-4))\/(k**(-5)\/(k*k\/k**(2\/5)*k))*(k*k**3*(k*k*k**(1\/10))\/k)\/((k\/k**(-2))\/((k*k**1*k*k)\/k)) assuming k is positive.\nAnswer: k**(117\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (592592\/3256)\/(14\/(-6))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -50708*z - 507075. Give h(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 - i**3 - 2*i - 4*i**3 - 3*i**2 + i**4 + 0*i**2 as x*i**3 + b*i**2 + c*i**4 + j + h*i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeqeeqeseqqeqe. What is prob of sequence ee?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168254622?\nAnswer: 2, 137, 4263703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491911089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 13 = 11. What is the lowest common multiple of r and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*a + 8 = -141*a - 4*l, -4*a = -4*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 644366 divided by 10393\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.127 - 0.273. Let f(k) = k**3 - 2*k**2 - 5*k + 4. Let p be f(3). Let a = 2 + p. Sort s, a, -3\/7 in ascending order.\nAnswer: -3\/7, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 140*l - 135.\nAnswer: -5*(l - 27)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxss. What is prob of picking 3 s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 640329?\nAnswer: 2561316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05024 and 0.\nAnswer: -0.05024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72616440*h**3*x - h**2*x - h**2 - h*x - 191*x + 681 wrt h.\nAnswer: -435698640*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1029*k = -10364 - 60637 for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, -24, -52, -84, -120?\n\"Answer: -2*d**2 - 18*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*-5*8\/(-30). Let x be (2 - 5\/2)*i. Suppose 4*d = -3*a + 11, -2*a - a + 18 = -3*d. Which is greater: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8672 times -3.38\nAnswer: -2.931136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5 - 22)*(r - 3 - 2*r + 2).\nAnswer: 33*r + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/16158266 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 15 + 1. Suppose -4*c + l - 4 = 5*l, -q*l - 36 = -4*c. Solve -c*k - 3 = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -273 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29152 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-28)\/(((k\/(k*k*k**(2\/45)))\/k)\/k) assuming k is positive.\nAnswer: k**(-1123\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20385.98 * 0.1\nAnswer: 2038.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*v**3 + 22 + 42 - 5 wrt v?\nAnswer: -90*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -691 - -687.89. Let q = 0.6 + -0.71. Let u = q - j. Is u greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2966 is divided by 65.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5868749 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165 and 594?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 42 = -z. Suppose -5*r + 5*o = -139 + 44, o - 53 = -3*r. Let j = r + z. Sort -4, j, 3 in decreasing order.\nAnswer: 3, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*r**4 + 3*r**3 - 27*r**2 + r + 724268.\nAnswer: 352*r**3 + 9*r**2 - 54*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j + 2. Let z be b(1). Let g be 8\/(-40) - (-42)\/z. Solve 0 + 4 = -4*m + 5*u, -4 = g*m - u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17792 by 3.\nAnswer: -17792\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -43. Suppose -2*r + w*n = -72, -3*r - r + 184 = 2*n. Solve 44*s**2 - 6*s**2 - 4*s**5 + 45*s**2 + r*s**3 + 32*s - 11*s**2 = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27664 rounded to three dps?\nAnswer: -0.277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1789*f + 367*f + 742*f + 179010 = -612*f for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 62b - -228260?\nAnswer: 22888b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + -2 + sqrt(931) + sqrt(931) + sqrt(931) + 2 + sqrt(1900) + -3))**2.\nAnswer: -4464*sqrt(19) + 657468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, 37, 117, 229?\n\"Answer: 16*f**2 - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaoouaooaaaoouaooxo. Give prob of sequence aoax.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4059)\/(-44))\/(3\/(-8))*(-57 - 2185\/(-38)).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.14.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*r - 12, -r - 5*j - 25 = -6*r. Let t = r + 2. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9177, -18355, -27535, -36717?\nAnswer: -45901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.857 + -0.143. Let o = 0 - -0.2. Which is the nearest to -1\/2? (a) o (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21020 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-189)\/(-54)*(-66)\/(-7). Solve 8*v + 1 = l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hohoo. Give prob of sequence hh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*d + 33*d + 28*d + 13*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 + 2*b**2 - 3*b**2 + (1 - 2 + 2)*(-3*b**2 + b**2 + b**2).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 16. Let c be (-3)\/6*-8 + -2. Solve 0 = k*x - n - 14, x + 4*n - c*n = -1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 5*j + 12 = 0, 3*v - 5203*j = -5205*j + 18 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34\/141 + 209\/282. Let x(q) be the first derivative of 51 - z*q**2 + 0*q. Let c(s) = 93*s. What is c(x(h))?\nAnswer: -93*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412001198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 2*q**2 + 2*q + 1. Let c(s) = 19*s**3 + 54*s**2 - 18*s - 8. Give c(a) + 7*f(a).\nAnswer: 5*a**3 + 40*a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146 + 140. Let q(a) = -1447*a + 59. Is q(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**5\/20 + m**4\/2 - 7*m**3\/6 - 7*m**2 + 3*m. Let i be v(-4). What is the highest common divisor of i and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 + 3.98. Let f = 836 + -837. Is f <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*2 + 4 + -4 + -4 + sqrt(162) + 0.\nAnswer: -4 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1417\/(-327) - (-6 - 2)\/2. Which is the nearest to d? (a) -2\/3 (b) 0.1 (c) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14101536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -355*z - 82. Is j(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**6\/60 - 929*s**5\/30 + 71765*s**4\/4 + 72075*s**3 + 869*s**2. Suppose i(k) = 0. What is k?\nAnswer: -1, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c - 3. Let h be k(2). Calculate the remainder when h - 3*3\/9 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2, -0.2, -3, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 53, 1, 0, -120, -5 in ascending order.\nAnswer: -120, -5, 0, 1, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -923241*w**2 + w + 217654 wrt w.\nAnswer: -1846482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 + 7*b**2 - 5*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 646193162 to the nearest integer?\nAnswer: 25420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a - 42*a - 17 = 0 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22342 (base 5) to base 3.\nAnswer: -2012011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 712345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 21. Let u = 12 - f. Let a = 29.0034 - u. Round a to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -p - 2, 119*h + 5*p = 118*h + 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -710*i**3 - 34*i**2 - 53*i - 2704 wrt i?\nAnswer: -4260*i - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -1.4, 6, -2\/3, -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.9 - 11.32. Round l to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 637, 633, 629?\n\"Answer: -4*n + 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f. Let g be s(5). Suppose 3*d = g*r + 32, -3*r = -2*d - d + 36. Calculate the remainder when 40 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 36 = 6*t + 3*j, -t - 3*j = -6. Let k be ((-120)\/(-50))\/t + 2\/(-5). Which is the third biggest value? (a) -4\/25 (b) -2 (c) k (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 1. Let k(q) = -q - 485 + 485. Give 2*c(r) - 5*k(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = -2*q - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 173*b**6\/60 + 205*b**3 + 459*b**2. Differentiate t(p) with respect to p.\nAnswer: 1038*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k + 4, 2*s = 3*k. Suppose -s*m + 9 - 48 = 0. Is -14 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffffffffx. Give prob of sequence ffx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t**2 - 385 + 385.\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, n: 2, m: 6, x: 1, k: 4}. Give prob of picking 2 m, 1 p, and 1 n.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/((-144)\/(-2))*16\/(-3)*9\/(-486)?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 + 2. Let m = -7 - -4. Let b be 3\/(-6)*(1 - m). Give w(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 84 = -27. Let g = -11 + i. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.47, -4, -993, -2\/43 in descending order.\nAnswer: 0.47, -2\/43, -4, -993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43c4 - 3?\nAnswer: 43c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 12*x**3 - 4*x - 116*x**4 - 2*x**2 + 130*x**4 + 4*x - 3*x**3 - 2 to the form o*x + z + g*x**4 + a*x**2 + l*x**3 and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 2*t + 1. Let v = 15 - 13. Let i(p) = -4*p**v + 5*p**2 - 1 - 3*p**2 + 3*p. Calculate 3*i(f) + 5*u(f).\nAnswer: -f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let b be 0 - (-5)\/(q\/50*1). What is the units digit of (-4)\/18 + b\/90 + 92?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -36. Suppose j*o + 0*o + 6 = -3*t, 5*o = t + 8. Is (-5201)\/t + 6 + (-60)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnqu when four letters picked without replacement from {n: 2, q: 7, i: 1, u: 6, l: 3}.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i**3 + 39*i**2 - 10*i - 80. Let s(z) = z**3 - 8*z**2 + 2*z + 16. Let x(p) = 2*q(p) + 11*s(p). Calculate the remainder when x(10) is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*n - 5, 18 = 3*p - n + 21. Sort 2, -2, -5, p in decreasing order.\nAnswer: 2, p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 776 + 2132. What are the prime factors of b?\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 28. Let p = y - -17. What is the greatest common divisor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 87 = 12*t + 14*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 51 = -591*f + 588*f, -4*x + 3*f = -68 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13379948 to the nearest integer?\nAnswer: 3658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/14)*w)\/w**(-6\/11))\/(w*w*w\/(w*w\/(w**2*w)))**(3\/5))**(-39) assuming w is positive.\nAnswer: w**(23517\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 16) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11029 to 3 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.71 + -0.29. Let h = 37 + -37. Sort 3, p, h, -0.1 in decreasing order.\nAnswer: 3, h, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 114*x + 114. Calculate y(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-9\/2))\/(i*i*(i\/i**6)\/i))\/((i*i**(-2))\/i)**(-7))\/(((i**9*i)\/(i**(-9)*i))\/((i*i\/i**(-1\/11))\/((i*i**(1\/6))\/i))) assuming i is positive.\nAnswer: i**(-976\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6 - 3*q + 12 + 5 - 32. Let n = 7 + -13. List the prime factors of f(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5502603?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**3. Let c = 2 - 0. Let z be 4 - c*(-2 + 1). Let j(s) = 5*s**3. Let b be (-74)\/(-14) - (-6)\/(-21). Calculate b*j(t) + z*u(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5515612.\nAnswer: 2, 1378903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42691 + 2732297\/64. Calculate the common denominator of 25\/16 and b.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 771329*f - 2313996.\nAnswer: (f - 771332)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 14*j**2. Let y(s) be the second derivative of s**3\/6 + 12*s. Calculate h(y(p)).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -778*n**3 + 309*n**3 + 14*n**3 - 1654*n wrt n?\nAnswer: -2730*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 566 and 735800.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -8. Suppose 4*d + 0*d + 1 = -l, -3*l = 4*d + 11. Put a, 2, d in decreasing order.\nAnswer: 2, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.8*1\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/36 + (-10)\/(-18). Let o be ((-2)\/(6\/45))\/1. Let x be (-1)\/(42\/o - -3). What is the third biggest value in 1\/5, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, 0.2, 0.5, 0.04?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q = 0. Suppose -4*g = -3*a - 1 - 10, q = -4*g - 2*a + 6. Suppose g = -4*z + 26. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 159, 348, 563, 804, 1071?\n\"Answer: 13*m**2 + 150*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -5. Let s(b) = 2*b**2 + 11*b - 4. Let p be s(z). Suppose -2*v = -x + 12, -2*x = 2*v + 3*x - 12. Put p, 1, v in descending order.\nAnswer: p, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 24 (c) 1\/3 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/63, -2\/33, -38\/7, 0.3, 7, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (-51)\/(-582)*40. Let q = r - 14923\/2910. What is the common denominator of q and ((-604)\/(-144))\/(2\/(-6))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, f: 2, i: 4, y: 1}. What is prob of sequence fiqq?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/126)\/((-5)\/(-18))*11\/(1232\/(-360))?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o - 5*o**2 - 5*o)*(o**2 + 2*o**2 - 4*o**2) + o**2 + 2*o**4 - o**2 - 3*o + 3*o - 4*o**4 to p*o**4 + k*o + y + h*o**3 + u*o**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -46, -6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 29*x.\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2929*c**3 - 4*c**2 + 12*c. Let m(v) = -2929*v**3 - 4*v**2 + 20*v. Let p(s) = -4*m(s) + 5*r(s). Find the third derivative of p(j) wrt j.\nAnswer: -17574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 8*q + 44. Suppose -q = 3*i - i. Let d = i + 701. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1333*w**2 - 5*w - 18. Let y be m(-6). Round y to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9404 - -9584. Calculate the least common multiple of c and 6900.\nAnswer: 20700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8924648?\nAnswer: 2, 1115581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-4)\/(8\/6). Suppose -r*d - 7*p + 51 = -2*p, -p = 2*d - 27. Is (174\/(-4))\/((-9)\/d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 + 53*m**2 - 10*m + 139. Let q be i(-18). Put q, -6, 1\/50, 2\/9 in descending order.\nAnswer: 2\/9, 1\/50, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -216*c**3 + 22*c**2 - 6*c - 23441314 with respect to c.\nAnswer: -648*c**2 + 44*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(12) + (sqrt(3) - sqrt(147)) + 0.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2535177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 2:12 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -139*m + 562. Determine w(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -38. Suppose -3*a = -56 - z. Suppose -2*x - x = -a. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 813.7 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14846 is divided by (-3770)\/(-13)*(2 + 16\/(-10))?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, -9, -31, -69, -129, -217, -339?\n\"Answer: -t**3 + t**2 - 8*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5540 (base 7) in base 10?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, 86, 211, 386, 611?\n\"Answer: 25*u**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9858\/279*(69 + 0).\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1182 - -1.1182. Let i = 0.13 + -12.13. Let y = -7 - i. Which is the fourth biggest value? (a) o (b) -1 (c) 0.4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7*h + 105 = 6*a, -3*a = -h - 66. Suppose -m = -2*m + 19. Suppose m = 8*g - a. Solve -5*k - 5*v = 15, -g*k - 5*v = -3*k + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9124, -36500, -82126, -146002, -228128, -328504, -447130?\nAnswer: -584006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 101253*h + 1215468.\nAnswer: -3*(h - 33763)*(h + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 132843.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*10\/(-8)*348\/290.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.629497us?\nAnswer: 0.000003629497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**4 + 3*d**3 - 1 + 4*d**2 + 6*d**4 - d**3 in the form f + i*d**2 + a*d**4 + g*d + h*d**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from xxxxmmmmxm.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63143960*d**4 + 7568509*d**2 - 4*d - 3.\nAnswer: 1515455040*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.0625 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(((-16)\/188)\/(-4)) - 3. Let j = s + 54. Suppose 0*a - 6 = 4*a + 2*k, j*k = -3*a - 12. Sort -5, 3, 3\/5, a in decreasing order.\nAnswer: 3, 3\/5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.087 minus -2.325427666?\nAnswer: -13.761572334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (10 + -13 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11814 = 11370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1320 and -43\/80.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1708, 1709, 1704, 1687, 1652, 1593?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 5, -2\/3, -208, -24?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*t**3\/5 - 264*t**2\/5 + 378*t + 980 = 0. Calculate t.\nAnswer: -2, 35\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r + 5944 = 4932 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218, -208, -198, -188, -178, -168?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 96 = 3*k, -5*m + 288 = -2*m + k. What is the greatest common factor of m and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**4\/8 - c**3 - 5*c**2\/2 - 6*c. Let k(s) be the first derivative of l(s). What is the first derivative of k(y) wrt y?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4242 times 378?\nAnswer: 1603476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151524, -605650, -1362376, -2421702, -3783628?\nAnswer: -5448154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f + 159*c - 162*c + 69 = 0, -5*f + 5 = 5*c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 9:02 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/169 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 230640*a - 20798100.\nAnswer: 5*(a - 90)*(a + 46218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 5:33 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002100911 to seven dps.\nAnswer: 0.0002101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6 - 2 + c**2 + 4*c - c**3 + 11*c**2. What is the smallest common multiple of 12 and h(12)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*k - 3*j + 12, -13 = 3*k + j. Suppose -5*l + 2*z + 6 = -14, 13 = -l - 3*z. Let m(r) = r**3 - 15 - 2*r**3 - 3*r**l + 15 + 5*r. Determine m(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2541260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -139414 rounded to the nearest one thousand?\nAnswer: -139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**2 - 1021*g + 355. Let d(m) = -3*m**2 + 511*m - 180. Let t(s) = -19*d(s) - 10*x(s). Differentiate t(o) with respect to o.\nAnswer: -6*o + 501","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -d - 0*k - 13, 0 = 2*d - 3*k + 12. Let n be d\/(-1)*(-9)\/27. Let p = 3 + n. What is the nearest to 0 in 0.2, p, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 = -g - 3*z, -5*z + 155 = -g + 436. Let a(u) = 14*u**2 - 264*u - 2*u**3 + u**3 + g*u. Let t be a(16). Put t, 2, -2 in increasing order.\nAnswer: -2, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -15553?\nAnswer: -15555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.36 + -2.71. Let y = j + 0.07. Which is the closest to 2? (a) 2 (b) y (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38495, -77007, -115483, -153905, -192255, -230515, -268667, -306693?\nAnswer: -344575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -115. Let f(a) = 13*a + 1. Let n be f(20). Let m = n + g. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108759803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a century in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -277, 2, -109, -40 in decreasing order.\nAnswer: 2, -40, -109, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5, 0, -2 in increasing order.\nAnswer: -14, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 21. Let p = 11 - f. Solve -p*u - 3*s - 35 = 0, -2*u - 1 = -s + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t**3 - 8*t**3 - 4 + 0*t**3)*(2*t - t**2 - 2*t).\nAnswer: t**5 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*x + 3*t, -215*t - 27 = -5*x - 213*t. Sort -847, 0, x, 1 in descending order.\nAnswer: x, 1, 0, -847","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o. Let s(q) = 10135*q**2. What is s(v(u))?\nAnswer: 40540*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 + (-24)\/(-14). Suppose 0 = -5*i - o + 2*o, 4*o = i. Solve i + n = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 237370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 21, 78, 167, 288, 441, 626?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.185625 millilitres?\nAnswer: 0.002185625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 968.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 225 = 190 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.923343 nanometers?\nAnswer: 0.000000000001923343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -203?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 611*i - 608*i - 27, -5*i + 38 = 6*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 - (-2 - (-6 - -7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*a - 47, -6*a + 7*a + 4 = 0. Solve 5*l = 3 - f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 - 2*s**2 + 1. Let v(z) = 4 + 3*z - 9*z - z**2 - 3. Let i be v(-5). Suppose -3*f + i*f = 3. Calculate m(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 244764884 by 9414034.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c81 + -28?\nAnswer: -3ca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(539)*-5 + 5 + 3.\nAnswer: 8 + 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4, 2*o = 4*r + 42 + 28. Suppose 3*t = 2*w - o, -4*w + t + 111 = 6*t. Suppose 0 = 5*p - 16 - w. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/9? (a) 5\/3 (b) -1 (c) -2\/12197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2. Let f(n) = 256074*n. What is a(f(q))?\nAnswer: -196721680428*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9.8, -4, -2\/7, 1.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 61 = -5*c + 84, 5*j - 31 = -2*c. Solve c*q - 113 = 55 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**2 - 7980*g - 87175 = 0.\nAnswer: -1585, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*((sqrt(1053) + -1 + sqrt(1053))*-4)**2.\nAnswer: -202224 + 1728*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -80*f**5 - 1676*f**4 - 2792*f**3 + 26148*f**2 - 1152*f - 1296 = 0.\nAnswer: -18, -6, -1\/5, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -38046500 to the nearest 10000.\nAnswer: -38050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**2 + 3*h - 7. Let a(v) = -7*v**2 - 5*v + 11. Let n(j) = 5*a(j) + 8*d(j). Determine n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, 27, 65?\n\"Answer: 38*u - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 776, 659, 474, 215, -124, -549, -1066?\nAnswer: -1681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + l**2 + 4*l + 2. Let m be q(-5). Suppose -s + 4*s - 5*u - m = 0, -2*s + 88 = -4*u. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6*q - 4)*(223 - 527 - 194).\nAnswer: -2988*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110010110111 + -110?\nAnswer: -1100110010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = h - 3*s, -2*s - 13 = -19 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**4\/6 + g**3\/6 + g**2\/2 + 2*g. Let k(i) = -i**3 - 3*i**2 + i + 2. Let z be k(-1). What is l(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(152\/266*(-3)\/(-12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 3. Let o(r) = -r**3 - 6*r**2 - 5*r - 3. Let m be o(-2). Let y(a) be the first derivative of -a**2 - 7*a + 1. Calculate m*b(z) - 4*y(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -83*v - 29. Let b be h(-2). Let q = b + 12. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17230274 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: (4\/20)\/((-3)\/(-45))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -221*d**3 - d**2 - 5*d - 5. Let c(f) = -36*f - 217. Let p be c(-6). Let h be w(p). Let u = 12 - -8. What is the greatest common factor of u and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-24) - 7)\/(2\/447). Let k = -66991\/45 - n. Calculate the common denominator of k and -22\/63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0373 and 3?\nAnswer: 3.0373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + i + 2. Let u be w(0). Let m(q) = -39*q**3 + 40*q**3 - 2*q + 3*q**u + 1 - q**2. Determine m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - g = 5*u - 228, 3*u - 162 = -3*g. Calculate the remainder when u is divided by 20\/((-2 - -2) + 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.78? (a) 0 (b) 7 (c) 4 (d) -72 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 10. Suppose -16*b + p*b + 2 = 0. What is the third derivative of 2*k**2 - 3*k**2 + 7*k**b - 3*k**6 wrt k?\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 4. Let u be l(-4). Let y(j) be the second derivative of -j**3\/2 - j**2 + 48*j. List the prime factors of y(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7234436.\nAnswer: 2, 11, 164419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l + 5*l**3 + 9*l)*(15*l - 11*l + 4*l) - 3*l**4 + 5*l**4 + 3*l**4.\nAnswer: 45*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 0.06 (b) 225 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 444*-88\nAnswer: -39072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2454 and 0.227.\nAnswer: 557.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, -12, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 66176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*1\/(-18)*2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*j - 413 = 3235. Put j, 4, -0.1 in increasing order.\nAnswer: -0.1, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173889399 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 45 = 24. Let l be 3 + (-1 - 1) - d. Suppose 0 = 4*f - s + 1, -2*s + l = 5*f + 9. Does -1\/3 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/48 and -13\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -1\/6*q**4 + 0*q + 0*q**3 + 1\/20*q**5 + q**2 + 0. Does 10 divide u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22611958 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.683 to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 3*z + 161. Let p be q(-14). Let j(y) = 4*y + 11. Let w(h) = 15 - 6 - 5 + h. Let d(g) = -2*j(g) + 7*w(g). Give d(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 4:29 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 2:00 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20922700 rounded to the nearest 100000?\nAnswer: -20900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t**2 - 12*t - 7*t**2 + 14 - 5*t**2. Let q be w(-12). Let u = -7 + q. Which is the smallest value? (a) u (b) 1\/3 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llpikk. What is prob of sequence ipl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*q - 5*x - 12 = 111*q, -2*q - 2 = 3*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 7*m**2 + 14*m - 9. Let f(g) = g**3 - g**2 + 1. Let o(c) = 6*f(c) + 2*j(c). Factor o(s).\nAnswer: 4*(s - 3)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 131.3 and 2536830.\nAnswer: 2536961.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 10 (b) -2\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 3*o + 12, -j - o - 3 - 5 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Suppose -5*h = -o*s + 6200000, s - h - 1821535 = 1278465. What is s rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3132, 3231, 3238, 3153, 2976?\n\"Answer: -46*h**2 + 237*h + 2941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -161*x + 169. List the prime factors of v(-14).\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 10125.\nAnswer: -91125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(5 + (sqrt(242) - ((sqrt(242) + -1)*-1)**2 - (2 + sqrt(8)\/sqrt(4))**2*-2)).\nAnswer: -1131 + 205*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 10*w - 110. Let b = w - 5. Let c(m) = b*m - 2*m - 4 - 14*m. Let a(d) = -d. Calculate a(c(l)).\nAnswer: 10*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 14 and 258 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -808*k + 10*j + 1 = -807*k, 3*j + 4*j + 7 = -0*j for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 + w - 2*w**3 - 3*w**2 + (2*w - 3*w + 2*w)*(-4*w**2 + 2*w**2 + 3*w**2).\nAnswer: -w**3 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 0*n**2 + 6*n**2 + 9*n - 3375 + 3356. Let a be x(11). Let t = a - 551. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37442*u**3 + 37438*u**3 + 0*u**2 + 0*u**2.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 253 + -138. What are the prime factors of g?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741084 to the power of 1\/2, to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (339\/(-113))\/(((-6)\/(-5))\/((-104)\/(-20))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164 and 308?\nAnswer: 12628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**3 + 12*h - 2*h**4 - 13*h - h**3 + 0*h**3 + 2 to the form r*h**2 + c*h + n + o*h**4 + z*h**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(((t**(-12)*t)\/t*t*t)\/t)*t*t*t**(-3\/4)*(t\/(t\/((t*(t\/(t\/(t\/t**(-5))))\/t)\/t*t)))\/(t\/((t\/(t\/(t*t**(-2\/13)*t)))\/t)*t))**(-6) assuming t is positive.\nAnswer: t**(-2823\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0359 - -0.0641. Sort m, -26, 1\/3, 2 in decreasing order.\nAnswer: 2, 1\/3, m, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (164\/369)\/(64\/144)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -547 (b) -11 (c) -0.3 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 0.3 (b) -1\/289 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (-378 - -433)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12903386*b**2 + 2095*b + 154?\nAnswer: -25806772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404634 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 413528 divided by -206764\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 191d13 (base 14) in base 4?\nAnswer: 3121000231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 35 - 169. Let x = n - 25. What is the least common multiple of (2 + 1 + -11)*-2 and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 3:47 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0 + 2\/11*f**2 + 9*f + 3\/22*f**4 + 1\/3*f**3. Factor o(q).\nAnswer: 2*(q + 1)*(9*q + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.079 - 2590441.\nAnswer: -2590441.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 + -6 + (-1 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 3:49 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*t = -285 - 1175, -3*u = 4*t - 4424. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102*(57288\/(-2618))\/(-93)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-2\/9))\/f)\/((f*f*f*f**17*f)\/f)*((f*(f**(3\/7)*f)\/f*f*f)\/f)**18)**(3\/38) assuming f is positive.\nAnswer: f**(754\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.05+0.019\nAnswer: -0.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 - 5*z**2 + 4*z + 1. Let t be (-2)\/(-6)*3*1. Let f be (17 - (-585)\/(-30))\/(3\/2 - 1). Let g(i) = -i**2 + i. Give f*g(d) + t*a(d).\nAnswer: 2*d**3 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13634086, -13634084, -13634082, -13634080, -13634078?\nAnswer: -13634076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 106271, -3\/7, -0.2, 12.7, -4 in increasing order.\nAnswer: -4, -3\/7, -0.2, 12.7, 106271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 221.74*23.8\nAnswer: 5277.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -76, -731, -2542, -6085, -11936?\n\"Answer: -96*c**3 - 2*c**2 + 23*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 467, 400, 303, 188, 67, -48, -145?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/((-6930)\/176))\/(160\/56)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3, -0.77.\nAnswer: -3, -0.77, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/75004, -62.\nAnswer: -62, -1\/75004, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 0*p**4 - 5 + 0*p**5 + 0*p + 0*p**6 - 47\/7*p**7 + 32\/3*p**3 + 0*p**2. Find the third derivative of o(x) wrt x.\nAnswer: -5640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 146754, 293517, 440280, 587043?\n\"Answer: 146763*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/8 - (-2 + 45\/24). Let g(f) be the first derivative of 3 - 2\/15*f**5 + 0*f**2 + 0*f**4 + u*f + 0*f**3. Factor g(d).\nAnswer: -2*d**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*t + 3*l + 5, 0 = -5*t - l - 5. Let s = t - -2. Find the first derivative of 44*r**3 + r + s - 82*r**3 - r wrt r.\nAnswer: -114*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102\/49 - 1007\/1470. Calculate the common denominator of c and -13\/51.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 + 83*f - 312. Calculate i(33).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/108765 and 33\/2080?\nAnswer: 45246240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 2:09 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*d + 6*d. Let b(j) = 3 - j + 1 + 4 - d. Calculate b(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122281696 divided by 1?\nAnswer: -122281696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4592 and 111949264?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41394 or -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3\/5 - 123*d**2\/5 + 1584*d\/5 - 1296 = 0. Calculate d.\nAnswer: 9, 12, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 77\/88*111200\/1946\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2462 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 525486 to the power of 1\/2, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 3220250?\nAnswer: 3220235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -918 - -932. What is the third biggest value in 0, -4\/19, -0.3, t?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from nrnrrrnf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*0.26.\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 c when three letters picked without replacement from nndppndnnnnpdcdddnn?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**4 + 127*p**3 - 1144*p**2 + 4959077*p wrt p?\nAnswer: -24*p**2 + 762*p - 2288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 459, 692, 925, 1158, 1391?\nAnswer: 1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1\/9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*f - 22, 3*p + 5*f = -9 + 46. Suppose s = -2*s - 3*h + 21, -2*h + p = 3*s. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 9*f**3 - 6*f - f**3 + 8*f to the form l*f + u*f**3 + i + h*f**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -32*r**5\/35 - 4*r**4 - 22*r**3\/7 + 55*r**2\/7 + 100*r\/7 + 339. Find q such that s(q) = 0.\nAnswer: -2, -5\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.41 rounded to 1 dp?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701) + sqrt(1701) + (sqrt(1701)*2 + sqrt(1701))*3 + sqrt(1701))\/(sqrt(70)\/(sqrt(110)\/(-1*sqrt(11))))*2*1.\nAnswer: -216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/10*(64 - 76). Let w be (2\/(-3))\/(42\/18). Which is the nearest to -2? (a) w (b) h (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*y + 85*y - 3*y**2 + 17*y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-1)\/(-3)*-3). Let r(z) be the third derivative of 0*z**4 + 0*z + l - 1\/30*z**5 + z**2 + 0*z**3. Let n(b) = -4*b. Determine r(n(x)).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -445\/807 or -1?\nAnswer: -445\/807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1809157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4730 less than or equal to -1108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/70 - 1255\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 142059 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7745*d**2 - 3771*d - 7. Let t(f) = 3869*f**2 + 1887*f + 3. Let i(l) = 6*a(l) + 14*t(l). Find the second derivative of i(v) wrt v.\nAnswer: 15392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2565 and 2375.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4*80\/(-100) - (-154)\/(-5)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 12*d + 4*d + 2*d - 17*d. Suppose 20 = -8*s + 4*s + 4*v, -s - 4*v - 20 = 0. Let r = s + 6. Calculate k(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22827 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 10. Let x be d(9). Let w = 3 - x. Calculate the remainder when w is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -8130.\nAnswer: -8130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from iiiiifisiiiii?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3000 + 1312001?\nAnswer: 1321001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aadvvvvavvavv. What is prob of sequence aadv?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(7) + 1 + sqrt(7) - sqrt(7)) + -2*sqrt(7) + -3)**2 + 2 + -1.\nAnswer: 10*sqrt(7) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49\/8 + -653\/104. Let u = 285.19 + -289. Let n = u - 0.19. Sort b, -1, n in increasing order.\nAnswer: n, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s. Let p(b) = -1392*b - 46993. Calculate q(p(r)).\nAnswer: -2784*r - 93986","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -11. Suppose 0 = -3*x - 4 - s. Let c = x + 11. Solve c*z = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)*f\/(f**(-1)*f))**(-27) assuming f is positive.\nAnswer: f**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -181 (base 9) to base 11.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4886\/30 - 10\/45*3. Let v = c - 163. Let g = 2\/4495 + 143826\/31465. What is the smallest value in g, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -23*v. Let k(h) = -86195*h. Give k(t(r)).\nAnswer: 1982485*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 - 90. What is the biggest value in 4, -2, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1292007?\nAnswer: 3, 269, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 2342.80304 and -13441.8.\nAnswer: -11098.99696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64965 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -111, -83, -37, 33, 133, 269?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3804*x + 163575. Give r(-43).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -348*y**2 - 68*y + 2. Give r(-1).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -28, -72, -166, -328, -576?\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (sqrt(136)*2*3 - sqrt(136)) + sqrt(136))\/(sqrt(8) + sqrt(56)\/(1*sqrt(7)))*-3)**2.\nAnswer: 7497\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 540*c**2 - 384*c + 36. Let z(g) = -135*g**2 + 96*g - 9. Let n(j) = 2*q(j) + 9*z(j). Factor n(f).\nAnswer: -3*(5*f - 3)*(9*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -10. Let b = y - -7. Solve -2*n = -u - 9, -5*n = -b*n + 2*u - 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**3 - 168*f**2 - 10*f + 35. Let i be y(-56). What is the greatest common divisor of 1015 and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -617106001 - 3?\nAnswer: -617106004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 19*p = -15 - 9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 8*u**3\/3 - 8*u**2 + 116*u + 225. Does 84 divide i(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/5*(4 - -1). Let v = 0 + p. Put -1, v, -0.3 in decreasing order.\nAnswer: -0.3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 3*f - 5. Let z be p(4). Sort 2, 1, -6, z in descending order.\nAnswer: 2, 1, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6850)\/(-19180))\/(4\/(-16))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 38139*k. Let x(d) = -555*d**2. What is x(v(i))?\nAnswer: -807293743155*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -30816414356?\nAnswer: 30816414356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/2 + 2\/1. Let m = 3 + o. Suppose 42 = m*s - 0*f - f, -80 = -4*s + 3*f. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*q + 6 = -117*q. Let 0*v**3 + 5*v**3 + 36 + 69*v - 2*v**3 + 30*v**2 - 6*v**q = 0. What is v?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 87. Suppose n = 5*n - i. Let t = n + -8. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14639 is divided by 2543.\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**4\/12 - 832*b. Let z(l) = -4*l**2 - 9*l**2 + 3*l**2. What is r(z(v))?\nAnswer: 100*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 46 - 52 + 6*q - 7*q. Determine u(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - o - 1. Let d(t) = -2*t**2 + 4*t + 4. Let j = 3 - 2. Let y(a) = j*d(a) + 4*w(a). Let q(n) be the first derivative of -3*n**2 - 2. Give q(y(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.395 - 305.605. Let u = -306 - t. Let y(f) = 5*f. Let k be y(1). Which is the closest to 0? (a) u (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00400596 to 5 decimal places.\nAnswer: 0.00401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -105*y**4 + 2415*y**3 - 2225*y**2 + 170. Let n(v) = 5*v**4 - 115*v**3 + 106*v**2 - 8. Let u(g) = -85*n(g) - 4*q(g). Factor u(h).\nAnswer: -5*h**2*(h - 22)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117550101 rounded to the nearest 1000000?\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.865358 centuries?\nAnswer: 0.4865358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + sqrt(1152) + -2)*2 - (5*(-2 + sqrt(200)) - ((sqrt(200) - (-2 + sqrt(200))) + 4))**2.\nAnswer: -5260 + 1656*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*j = 5*m + 7, -3*j = -2*m - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - y + 3*y + (2 - 2 + 1)*(3*y - 7*y + 3*y))*(7*y + 4*y - y).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123 * -1318.\nAnswer: 162114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/y**(-5)*y*y)\/y))\/(y\/(((y*y*y*y**(-2\/5))\/y)\/y)))**(-38)\/(y**(-6)\/(y*y**2)*(y\/y**5*y)\/((y**(-2\/19)*y*y)\/y)) assuming y is positive.\nAnswer: y**(24329\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 154 = 6*y. Let d = y + 84. Solve d = -3*w - 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 2. Calculate q(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3794*k - 1207570 = 1226*k + 12231*k for k.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - 2*21\/(-3). Let l(p) = -4 + p - w*p**2 + 23*p**2 - 12*p**2. Let x be l(-3). Solve x*g = -2*g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/22)*u)**(-10) assuming u is positive.\nAnswer: u**(-115\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = -7*s - 4*m + 43, 17 = -m + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75667*g**3*s**3 + 2*g**3 - 2*g*s**3 - 2*g + 135*s**3 + 7*s wrt g?\nAnswer: 454002*g*s**3 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 11 - (46 - 25).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3.1. Which is the nearest to -2\/9? (a) -2 (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 456\/28 - 4\/14. Suppose 4*d + 0*d - 16 = 3*i, 0 = 4*d + i - b. Suppose -j - 24 = -d*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -2da4d30?\nAnswer: 2da4d2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) -0.14 (c) 0.1 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 84 = 126 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w**2 - 11*w**3 - 3*w**2 - 1 + 13*w**2. Give x(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*h + 60*h - 18*h - 545*h**5 + 1788*h**5 wrt h?\nAnswer: 24860*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -18) + -9 + -2 + 1 + 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 9*m**2 - 13*m + 7. Let x = 112 + -42. Let a be (9 + (-590)\/70)*x\/4. What is y(a)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*(-11)\/((-165)\/36)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/36 - 4 - -3. Do -4\/3 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22722 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*k - 8 = 2*k, -p = k - 3. Let x(v) = 5 + p*v**2 - 5. Let a(h) be the first derivative of -h**2\/2 - 12. Determine a(x(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 68, 71, 76?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = 0, -3*y - 3*w + 6*w - 3 = 0. Let s be 0\/(-2) + 2 + y. Let p be (-2)\/(6 - s) - -4. Solve -d - p*d = -h - 4, h - 14 = -5*d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/((y**9*y)\/y)*y\/(y*y*((y*y**(3\/10))\/y)\/y*y)*y**(-2\/53)\/y*y\/((y*(y*y**(-8))\/y)\/y) assuming y is positive.\nAnswer: y**(-179\/530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1547, 1549, 1551, 1553?\nAnswer: 1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2382 + -1679. What is the highest common divisor of 37 and f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 2, 12, 62, -3 in increasing order.\nAnswer: -3, 2, 12, 41, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/911 (b) -2.1 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = t - 9*n, -3*n + 21 = 46*t - 42*t + 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -496*v - 76406. Give h(-154).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -2*f + 2*c + 36, f - 3*c = 89. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 + v - v + (5 - 2 - 5)*(3 - 3 + 2*v**2) - 6 + v**2 + 6 - 1 + 2*v**2 + 1 + 2*v**2 + 3 - 3 + (-4*v + 0*v + 3*v)*(v - v - v) - 5*v + 5*v - v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -195 - -104. Does 18 divide (36\/7)\/((-13)\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from kkkkzkzkkzkkkkkk.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137298632?\nAnswer: 2, 911, 18839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m - 9*m + 305580 = 22*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, 4, 28\/17, 5, 1\/25.\nAnswer: -123, 1\/25, 28\/17, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11581 (base 9) in base 12?\nAnswer: -45b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2)\/(1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 553 + -441. Calculate the smallest common multiple of 70 and r.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -15. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**4 - 3*p + 4*p**3 + 5*p + 2*p**2 - 2*p**4 - p as l*p**2 + w + x*p + u*p**3 + f*p**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -403 - -3300. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-18)\/s*s**(6\/7))**25 assuming s is positive.\nAnswer: s**(-3175\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s. Let h(y) = y**2 + 4*y - 1. Let d be (-32)\/128 - (13\/(-4) + -1). Calculate d*t(x) - 3*h(x).\nAnswer: -3*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 6:14 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9576755 times 0.1?\nAnswer: -0.19576755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 58*x + 240. Suppose 40*k - 68 = 57*k. Let f be s(k). Solve 10*g + f = 6*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 4. Let d be x(4). Let t be ((-15)\/(-9) - 2)\/((-239)\/(-10755)). Is t < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4027360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10786*f - 48. Let n(z) = -1546*z - 7. Calculate 5*m(u) - 34*n(u).\nAnswer: -1366*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 67 divided by 6242\nAnswer: 67\/6242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 43315 + 7895 = -80*d. Solve 406 = -7*t + d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (80\/12)\/(-5)*3. Let h = x - -6. Suppose -2*o + 14 = h*g, -g + 5 = 5*o - 6. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.54 + -0.24. Suppose 0 = -3*t, -3*g + 3*t = -t - 9. What is the nearest to -1 in g, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**6\/10 - 201*b**5\/20 - 1449*b**4\/4 - 8993*b**3\/2 + 36501*b**2 + 3*b + 11. Find o such that j(o) = 0.\nAnswer: -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.007, -5, -8\/13?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3*p + 16, 0 = -44*d + 43*d - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 148512, 297021, 445528, 594033, 742536, 891037?\n\"Answer: -i**2 + 148512*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1. Let v(q) = q. Let f(m) = -3*p(m) + v(m). Let o be f(7). Solve 0 = -0*r + o*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*k**5 + 30*k**3*n - 25*k*n + 2*k + 13*n wrt k?\nAnswer: -400*k**3 + 180*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5213 + -5213.000002967. Round h to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732988591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {x: 5, r: 2, j: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -775 + 1156. Let n = -386 + a. What is the closest to -0.1 in n, -2\/7, 3\/5, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414078663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -45. Suppose -5*x + 45 = -2*k + 6*k, 30 = 4*x + h*k. What is the greatest common divisor of 10 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4880741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*b**2\/7 - 30082848*b\/7 - 3535069311684\/7.\nAnswer: -4*(4*b + 940089)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 23, -1\/4, 5\/8, 31, 148\/3?\nAnswer: 148\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 + 21*n - 30*n + 7*n - 66*n**3 + 6*n + 2 to the form y*n + p*n**3 + h*n**2 + g and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 + 9*v**2 + 16*v + 3. Calculate z(-6).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 0\/(-3 + 1). Suppose -564 = -b - m*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2 - 7*w + 9. Let s be o(2). What is the remainder when (s + 10)\/(-1 + 2) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89154638?\nAnswer: 2, 409, 108991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 2. Let n(x) = -x**2 - 4*x + 5. Let v be n(g). Suppose 2 = o - v. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + ((-2 + sqrt(567) + -3 + sqrt(567) + 1)**2 - (0 + sqrt(63))*3*-5).\nAnswer: -99*sqrt(7) + 2284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 7. Let b(g) = -1. Let y = 60 + -40. Let v be (-30)\/y*(-2)\/(-3). What is v*c(l) + 5*b(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/48 and -79\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 45 = -5*v + 62, -4 = 4*v. Let a = r + 102. Does 37 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3664908 or -3664907?\nAnswer: -3664908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) 16181061 (c) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21973\/8740 + 28\/437. Which is smaller: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10740 and 2870.\nAnswer: 3082380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f + 3. Let p(n) = -9*n - 5. Let d(w) = 8*w + 5. Let v(r) = 4*d(r) + 3*p(r). Let h be (3 - -2)*(0 - 1). Let l = -4 + 12. Determine h*v(u) + l*g(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2331310 to the nearest 10000.\nAnswer: 2330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*u**2 + 57*u + 366*u**2 - 57*u.\nAnswer: 218*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9684\/57 - (-8)\/76 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from {f: 2, i: 1, j: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/(-186))\/((-3)\/(-30)*-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 148960a (base 11) to base 5\nAnswer: 1122424413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkp when four letters picked without replacement from {p: 3, k: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 426704174 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -10. Let j be 12\/20 + 6\/(-10). Suppose j*i = 2*i - 10. Solve b + i*s = -15, -4*b = -9*b - 5*s - u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8 + 172*(-9)\/(-144). Calculate the greatest common divisor of 143 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/15)\/(-14 - (-51387975)\/3670569) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1973415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -461*m**3 + 469*m**3 + 2*m**2 + 5 + m - 2*m**2 wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -15. Let f be (-1 - -2)*(-3 - k). Which is smaller: 6\/13 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**3\/3 - 7*p**2 + 14*p - 1. Give i(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 196\/24 - (-1)\/(-6) and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeiillwieiaii. What is prob of sequence ww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 324795627 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 67. Calculate the least common multiple of 40 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j**4 + 6*j**2 + 0*j**6 + 0*j + 0*j**3 + 1\/12*j**5 + 0 + 1\/35*j**7. What is the third derivative of v(f) wrt f?\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*x + 5*x = -111, 3*a + 4*x = 60. Calculate the greatest common factor of 60 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1149482.4 months?\nAnswer: 9579.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 28*l - 1618. Let p be h(58). Put p, 140, 4 in ascending order.\nAnswer: 4, p, 140","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1053)*1)**2 - sqrt(1053)) + -4 + (-1*sqrt(78)*2)\/((sqrt(168)\/sqrt(4))\/sqrt(7) + sqrt(6)).\nAnswer: -10*sqrt(13) + 1049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200 by 40.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -210 - -47. Let b = 902 + l. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - t - 1. Let w be r(-2). Let u = -58 + w. Is (-7)\/u - (-258)\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 20. Let o be g(0). Let v = -64 - o. Let c = -38 - v. Is 5 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-84)\/16)\/7 - (-1)\/(-12). Let n be 1 - 0 - 14\/18. Which is the biggest value? (a) n (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58591*18\nAnswer: -1054638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -80*k + 37*k - 199*k + 5 - 49*k. Let s be l(2). Let v = 190 - s. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-6*sqrt(2401)*4)\/(sqrt(28)\/(sqrt(44)\/sqrt(1100))))**2.\nAnswer: 49517\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 + 2222?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77949320?\nAnswer: 2, 5, 773, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*(-1)\/((-15)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 - 14*f**2 - 20*f - 71. What is x(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7016726 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -6 + 26. Suppose r*i = -0*i + 228. What is the greatest common divisor of i and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 6c65470?\nAnswer: 6c65470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 55*h**2 + 45*h. Let y(j) = -5*j**2 - 4*j. Let k(r) = -4*s(r) - 45*y(r). Let x(w) = w - 2*w + 4*w. Determine x(k(c)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.05 - -14. Let k = p + -0.15. Put 1, k, -0.5 in increasing order.\nAnswer: -0.5, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 563 - 558. Solve -s - 4*h + 19 - x = 0, -s = 2*h - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -2*r**2 - 1\/6*r**4 - 1\/2*r**3 + 2\/15*r**5 + 0*r + 0. Is f(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/10)\/(28\/(-2310)). Suppose 4*i + w = c, -3*i - 126 + 428 = 4*c. Calculate the remainder when c is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12353 is divided by 156.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 + 3*k**2 + 5. Let f(r) be the first derivative of -r**4 - 5*r**3\/3 - 8*r - 11. Suppose -13*n = 136 - 199 + 167. Give n*d(s) - 5*f(s).\nAnswer: -4*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 223 - 77. Suppose -24*o - 12 = -s. Determine v, given that 3\/5*v**o + 1\/5*v + 0 + 2\/5*v**3 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - j - 7. Let x(u) = -4*u**2 + 7. Let n(p) = -5*w(p) - 4*x(p). Suppose 5*m + 1 = -24. Give n(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 - 48.12. Let d = -45 - m. Let w be 60\/14 + (-2)\/7. What is the closest to -0.1 in -5, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 6. Let o be t(2). Suppose 9*f - 8686 + 8659 = 0. Sort -7, f, 5, o.\nAnswer: -7, f, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 202\/7. Let q(g) = -g**3 + 11*g**2 - 9*g - 7. Let k be q(10). Which is the third smallest value? (a) v (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -855*w - 3642*w - 193371 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*x - 237 - 323. Sort x, -58, 3, 0 in decreasing order.\nAnswer: 3, 0, x, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6491 is divided by 108.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(14\/11)*(c**(2\/3)*c)\/c*c\/c**(-2))**7 assuming c is positive.\nAnswer: c**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 34.3 times 52\nAnswer: 1783.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/3 - 2470\/(-39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10159 - 8711. What is the remainder when c is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 268, 0.\nAnswer: -2, 0, 5, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/3, -4\/7, 0.5, -26668 in increasing order.\nAnswer: -26668, -4\/7, 1\/3, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1884, 3005, 4126, 5247, 6368, 7489?\n\"Answer: 1121*m + 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 7:08 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 2 in increasing order.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/7*131*1\/(-2). Let r = 130 - h. Is 3\/13 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 2, -2\/29, 0, 9 in descending order.\nAnswer: 9, 2, 0, -2\/29, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - ((-276)\/(-2622) + 1989\/57)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 1 - 1, r - 2*d + 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 0\/(-3) - 2. Suppose -2*l + 2*x - 20 = 0, -3*l + x = -b*x + 22. What is l rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550.4835 micrometers to millimeters.\nAnswer: 0.5504835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 156, 524, 1250, 2454?\n\"Answer: 20*t**3 - t**2 - 7*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*j**2*q*z - 62*j**2*q + 104*j - 50651*q + 37*z wrt j?\nAnswer: 20*j*q*z - 124*j*q + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.5, 1\/4, 5\/7, -2\/31, -3\/10, 2\/5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3 - 22*t - 4 - 4*t**3 + 16*t + 7*t**2. Let q = 257 - 251. Give d(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 15*w + 8. Let i be u(17). Put -3, -1, i, 3 in decreasing order.\nAnswer: i, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a2a2 (base 12) to base 11.\nAnswer: 97848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 99263 times 0.3\nAnswer: 29778.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 9:38 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 8*o**3 + 4*o**3 + 4.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1153\/9 + 128. Let f be (-2)\/2 + (3 - 2). Does w = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 9717 = 3*u, -11*z + 10*z - 7*u = -4901. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*p - 46728, -2*p + p + 15559 = 5*x. Let q = -3713 + p. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94248.9 + -90062. Let m = -4462 + z. What is m rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 0.45 (c) -1\/13 (d) 1\/33 (e) 2\/11 (f) -0.5 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2\/5 + 99263*d\/5 - 49632\/5 = 0.\nAnswer: -49632, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by (48\/16 + (-12)\/2)*-7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = -72*q + 576 + 628 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 5*k**2 - 545*k + 1624. Calculate m(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348208 is divided by 181.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 8*h**2 - 6*h + 3. Determine d(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*q = -57, -4*p + 30 = 60655*q - 60657*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 448 + 1876 = 0. Suppose 2*r - 318 = -5*j, -5*r + 4*j + a = -438. What is the remainder when r is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-100))\/((-2)\/90*-18)*2\/(-33).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + p**2 - 3)*(15*p + 4 + 3352*p**2 - 3356*p**2 - 2) as n + f*p**4 + t*p + a*p**2 + h*p**3 and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/4649 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s - 6. Let o = 18 + -23. Let f(p) = -3*p + 5. Let l(w) = o*c(w) - 6*f(w). Let g(x) be the second derivative of 2*x**3\/3 - 3*x. Calculate g(l(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137 + -136.5. Sort k, 0.4, 0.09 in descending order.\nAnswer: k, 0.4, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13517\/498 + 164\/83. Let h = d - -25. Let y be (-18)\/(-6) + (-8)\/2. Which is the third biggest value? (a) 0.4 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 - 5*z + 5*z + (2 - 2 + 2*z)*(z - 2 + 2))*(-3*z + 6*z - 5*z + (2 + 0 + 0)*(-6 + 10*z + 6)) as f*z**2 + x + w*z + g*z**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1711188*n + 2244 = -1711086*n for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 11545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f + 32. Let k(b) = 10*b - 53. What is k(a(y))?\nAnswer: -30*y + 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/150944 and 59\/14112?\nAnswer: 66566304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 2643046?\nAnswer: 7929138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**3 + 1455*r**2 + 1490*r - 8760 = 0.\nAnswer: -3, 2, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x - 136 = 9510. What are the prime factors of x?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + (5 + 6 + -13 - -9)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 140 = 57*q - 38*q, -3*m = -5*m + 8*q + 22 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68809 or 68808?\nAnswer: 68809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m**4\/3 - 89318*m**3 + 226693*m**2\/3 + 192368*m + 82444\/3 = 0. Calculate m.\nAnswer: -1, -2\/13, 2, 20611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28664680 divided by 2?\nAnswer: 14332340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(-18)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116568 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let q(c) = c**3 + 5*c**2 - 2*c - 1. Let r(t) = -t**3 - t**2 + t. Let a(f) = q(f) + 3*r(f). What is a(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3750 - -3772. Calculate the remainder when 349 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5326873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -5c5?\nAnswer: 5c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.28 - 0.12. Let i = -6 + k. What is i rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469668391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 j when four letters picked without replacement from {j: 8, r: 2, k: 2, b: 5}?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 213 - 204. Suppose 0 = w*l - 23 + 14. Does l = 24\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2975 + 3015. Calculate the lowest common multiple of 40 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1078315334 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1603 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3548\/(-7) + (-19)\/133. Let o be s\/(-36) + (-3)\/36. Solve -4*m + o = 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -7.8.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24910 or -24732?\nAnswer: -24732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*k - 67. Let u = k - 29. What is the units digit of (u + 3 + -1)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - 29830*m + 672 = -29829*m, 4*a + 3*m - 224 = 0 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0*m + 0 - m - 5 + 0*m. Let w(i) = -1. Let c(p) = 2*f(p) - 11*w(p). Let r(n) = -3*n + 1. Calculate 4*c(t) - 3*r(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -192*i**4 - 3984*i**3 - 18027*i**2 + 27390*i - 9075 = 0.\nAnswer: -11, 5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 2 (c) 1\/25 (d) 285 (e) -0.4 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 25 + 250 = 4*v, 0 = v + l - 74. Suppose f - v + 18 = 0. What is the remainder when 156 is divided by f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 51\/2 of a day?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(147)\/(sqrt(21)\/(sqrt(6)\/sqrt(2))))\/(sqrt(84)\/(sqrt(192)*-2 - sqrt(192))).\nAnswer: -12*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -114584111 rounded to the nearest ten thousand?\nAnswer: -114580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8628085, -8628086, -8628087, -8628088, -8628089, -8628090?\nAnswer: -8628091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 734?\nAnswer: -587.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318349?\nAnswer: 318349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 8 - 2*s + 0 + (-5*s + 2*s - 2*s)*(-3 + 0 + 5))*(1 + 1 - 3) in the form f + y*s and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 42 + 14 = 2*q, 8*a + 58 = 5*a - 3*q + 61 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -96*l - 10278. What is u(-107)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 4 (b) 1 (c) -2\/5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -l + 3, -l = 829*v - 827*v + 15 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}