diff --git "a/data/dm_maths/full_data/10233_11255.jsonl" "b/data/dm_maths/full_data/10233_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10233_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let i(d) = -2*d - 40. Let t be i(-22). Suppose 2*h - 2670 = -t*v - 234, -2430 = -4*v + h. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 15*b + 90. Let v be s(-6). Let r be 0\/2*4\/(-16). Let r*i + 5\/4*i**4 - 5\/2*i**3 + v + 5\/4*i**2 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*l + 38. Let q = -1494\/11 + 138. Calculate the common denominator of q and -3 - 17\/l*-4.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + 5. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1180 by 295.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -36, 2, 9.\nAnswer: -36, -2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 444*p + 431*p - 806*p + 5.\nAnswer: 69*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2956*d = -232701 - 59943 for d.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1734, 1710, 1672, 1620?\nAnswer: 1554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*c = 9353, -157*c - 4684 = -2*d - 153*c. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 990232 (b) -0.2 (c) 10\/3 (d) 0 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2604589, 2604583, 2604579, 2604577, 2604577, 2604579?\n\"Answer: n**2 - 9*n + 2604597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 16) to base 14\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-9))\/((-33)\/429*65\/30)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/4 of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 12*k + 6*k - 15*k. Let h(i) = 1. Let r(z) = z - 2. Let y(p) = 2*h(p) + r(p). Determine y(f(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n. Let v(b) = -b**2 - 5*b. Let j(l) = 5*o(l) + 4*v(l). Let h(d) = d. Let y(g) = -2*g. Let x(s) = 2*h(s) - y(s). Give j(x(u)).\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s - 37. Let v be f(-5). Let n(b) = -2*b**2 + 2*b + 2. Let a(d) = d**3 - 11*d**2 + 11*d + 11. Determine v*a(h) + 11*n(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 20 = -5*w, w + 3*i = 10 - 23. Let d(o) = -19*o + 23. Determine d(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6208?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 1)*(0*y**2 - 4*y**2 + 2*y**2)*(6*y - 7*y + 3386*y**2 + 1 - 3423*y**2).\nAnswer: 296*y**4 + 8*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -252 - -582. List the prime factors of h.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.3 + -5. Let n be 15 - (2742\/198 + (-196)\/(-147)). What is the smallest value in n, 1, 2\/15, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + (-2 - -4) + -3 + -1. List the prime factors of (-310)\/(-8)*(-1 + g).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/20)\/i**(-13\/7) assuming i is positive.\nAnswer: i**(281\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754840?\nAnswer: 2, 5, 113, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 3:39 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5602 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3534 - 2313. What is the greatest common divisor of y and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 445, 1 in decreasing order.\nAnswer: 445, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 588 - 572. Calculate the greatest common factor of 264 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.43? (a) -5 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r)**(-18)\/(r**(-1)\/(r\/r**2*r)) assuming r is positive.\nAnswer: r**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/9, -2\/7, 15565, 2\/17, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**2\/2 + 6*l - 2. Let y be x(0). Let t(i) = -2*i + 8. Calculate t(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -650*u**2 + 312*u. Let w(n) = 21*n**2 - 10*n. Let v(g) = -5*d(g) - 156*w(g). Let r(z) = -2*z. What is v(r(i))?\nAnswer: -104*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6730 - 6727. What is the third biggest value in c, -2, -0.3, -0.105, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + o**3)*(3*o**2 - 2*o**2 + 3*o**2) + (2*o**4 + o**4 - 4*o**4)*(-2*o - 12 + 12) - 3*o - o**5 + 3*o.\nAnswer: 5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Suppose -5*b + 35 = -d*b. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3863 + 3803. Let y be (-1)\/(-2)*(-1 - 129). Let r = p - y. Solve s - 2*x + r = -0*s, -4*s - 2*x = -20 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-102) + (-4)\/(-12)*0)\/(3\/(-171))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3441 and 465.\nAnswer: 17205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -23*u - 20 + 20*u - 23 + 6. Let s be i(-18). Suppose 2*l - 3*g - 116 = 23, 0 = -3*l + 4*g + 208. What is the greatest common factor of s and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + 0 - (5 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106225 is divided by 334.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -29. What is the highest common divisor of g and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11199.5 - -11199. Which is the third smallest value? (a) -0.03 (b) s (c) 1\/8 (d) 2\/3 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*o**3 + 11*o**2 + 39*o**3 - 12*o**2 - 7*o as a + r*o**3 + g*o + c*o**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 times 0.06?\nAnswer: 20.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*x - 24 = 0, -s + 0*x = -4*x. Calculate the smallest common multiple of 27 and s.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 - (-16)\/4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12492 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 42*t**2 - 100*t**2 + 10 + 5 to the form h + o*t + i*t**2 and give i.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 3*s + 2*h = 0, 0 = 5*h - 151 + 75 + 76 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 3*c. Suppose -5*g - 11 = 4. Let o(w) = -10619*w - 10624*w + 21240*w + 2*w**2. What is g*i(b) + 4*o(b)?\nAnswer: 2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 = -7*w. Calculate the highest common divisor of 18 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3759163*k = 3759355*k - 5376 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*w**2*y - 3170*w*y**2 + 34*w + 3*y**2 + 407500 wrt w?\nAnswer: 14*w*y - 3170*y**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 118400 and 14.\nAnswer: 828800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*d - 3*d = -1, 4*b + 5*d - 13 = 0. Let f be (b + 0)*(-3 - -49). What is the greatest common factor of 23 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 170c6 + -1177?\nAnswer: 15c4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -12*b**3 + b**2 - b + 3. Calculate the remainder when z(-2) is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 131 - 19 = 0. What is the smallest common multiple of r and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**3)\/(b**(-3)\/b)*(b**(-2\/25)*b)\/(b*b**(3\/2)) assuming b is positive.\nAnswer: b**(21\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-3 - -17) + -35 + 69?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2062 and 33991039.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -14) + (17 - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -716*p**7\/105 - 103*p**4\/12 - p**3\/2 + 9*p**2 - 3*p. What is the second derivative of j(b) wrt b?\nAnswer: -17184*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/35)*l)**19*((l\/l**(-13)*l)\/l*l)\/l**(3\/10) assuming l is positive.\nAnswer: l**(753\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 47*x**2 - 54*x**2 - 47*x**2.\nAnswer: -147*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 141\/980 and -27\/27094.\nAnswer: 13276060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = -9. Suppose 20 + s = 4*o. Let w(a) = a**3 - 5*a**2 - 6*a + 6. What is the remainder when 16 is divided by w(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 98 - ((-2 - -1) + 3). Suppose k - g = -12. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/3)*m*m)**(-30)\/((m\/(m**5\/m))\/m**(1\/7))*((m**7\/m)\/m*m**(2\/19))**(-14) assuming m is positive.\nAnswer: m**(-19728\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(27) - (sqrt(3888) + -1*sqrt(3888) - sqrt(3888))) + sqrt(27))*-2*-6)**2.\nAnswer: 762048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 95*k - 5587. What is the smallest common multiple of 864 and r(77)?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4491, -18028, -40611, -72240, -112915?\nAnswer: -162636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -70*n. Let h be k(-2). Let u be 25*7\/(h\/32). Calculate the highest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.8104 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 4, -122, -5 in descending order.\nAnswer: 4, 0, -5, -6, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -28340112 divided by -4\nAnswer: 7085028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48678012 + -0.03.\nAnswer: -48678012.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and 176 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/13 + 9874*l\/13 - 59316\/13.\nAnswer: 2*(l - 6)*(l + 4943)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33\/5 of a century?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 2221?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 549 and 6?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1292 = 2*i - 1006, 0 = -w - 9*i + 2256. Calculate the least common multiple of 385 and w.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 9. Suppose 4*d - 116 = -2*s - 10, -2*s = -p*d + 76. Calculate the greatest common divisor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z*z*(z\/z**2)\/z))\/z)\/(z**(-2\/35)\/z*z)*z\/z**(-5\/7)*z*z**(2\/5)\/z assuming z is positive.\nAnswer: z**(76\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*f**3 + 66*f**3 + 962 - 962.\nAnswer: 30*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*w + 3*f + 51, 2 = -w - 4*f. Suppose 0 = -j - 2*m, 2*m - w = 4*j - 2*j. Let p be j + -1 - 1*-3. Are p and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 255244 + -255236.999964. Let h = -7 + x. Round h to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*q**4 - 9*q**2 - 1319 wrt q?\nAnswer: 20*q**3 - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.5 (c) 3 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5381?\nAnswer: 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3527*f**2 + 109*f - 3531*f**2 - 3*f + 7057*f**2 to the form i*f + l + q*f**2 and give i.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:37 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*t - 293*t - 125755 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6210\/(-360))\/(9\/(-12))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, d: 7}. What is prob of picking 3 p?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 41039.3099 to the nearest 100.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 4*r**2 - 15*r - 25. What is v(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from yuuusuhyyuguuugy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:15 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-7) + 31\/7. Suppose 2*q + 4*t = 80, 66 = -k*q - 3*t + 201. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 35\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(245) + 5 + sqrt(245)*-1)**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 3, 8095 in increasing order.\nAnswer: 2, 3, 7, 8095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 0*i**2 + 3*i**2)*(-2*i - 5*i + 5*i) - 153160 + 152360 - 2*i**3 - i**3.\nAnswer: -i**3 - 800","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 - 2*o**4 + 3*o**4)*(38 + 22 - 27).\nAnswer: 66*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223207 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*y + 64. Let x = -0.3483 + 0.2483. Which is smaller: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.75 - -5.35. Let y = d + 241.9. Let s = y - 235.1. What is s rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -251 and 22824.\nAnswer: -5728824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590 + (-3)\/(-2)*-4.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-168)\/(-77) + -2)*(-10 - -9). What is the fourth smallest value in -0.034, l, -2, -0.5?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2. Let o(w) = 4165241*w**2 + 2. What is o(k(l))?\nAnswer: 4165241*l**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 12298 + 11979 = 4*u, u - 4*u + 3*h - 213 = 0 for u.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q = 402 + 38 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/9 - (-2176)\/72 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a microsecond in nanoseconds?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/135*-10*(-6)\/84.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z - 33 + 22*z**2 + 86 - 29 - 23 as o + k*z**2 + w*z and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 3*q - 233851872. Let h = q - -47531484. Round h to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1980426876 rounded to the nearest 1000000?\nAnswer: -1980000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/105)\/(1\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxjsvsovvsxv. Give prob of sequence osv.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((369\/27)\/(-41))\/((-5)\/(-15))*32.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96757 (base 14) to base 9.\nAnswer: -613753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*c - 1. Suppose 3*s = -c*w - 1, -10 = 5*w - 30. Let i = s + 17. Calculate the greatest common divisor of 42 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 0*y**3 + 5*y**2 + 1\/300*y**6 - 1\/840*y**8 - 1\/525*y**7 + 1\/150*y**5 + 0*y**4 + 0 + 0*y. Determine s so that q(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00588046723 rounded to seven dps?\nAnswer: -0.0058805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2. Let u = -8 - -12. Let b(s) = -4*s + 4*s + 2*s + u*s. Calculate z(b(a)).\nAnswer: 108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-11\/2)\/(p\/p**(2\/13)) assuming p is positive.\nAnswer: p**(-165\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 799 and 1292?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 13*p - 239. Let y be r(31). Let n = -168 + y. Let l(v) = -2*v**2 - 9*v + 1. What is l(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48257623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 10:03 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1318, -0.1, 1\/5 in increasing order.\nAnswer: -1318, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6069, 6062, 6055, 6048, 6041?\n\"Answer: -7*n + 6076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -12, 12.6795 in descending order.\nAnswer: 12.6795, 3\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 22*z**2 - 3*z + 2. Let f be l(1). Let u = f - 17. Suppose -4*i - 5*v = -175, -i + u*v = v - 31. What is the highest common factor of i and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62 - -3?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 7 + 3*l - 4)*(-5 + 5 - 2*l).\nAnswer: -6*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (866846\/(-4))\/((5\/44)\/5). Let y = r - -2951306. Round y to the nearest 100000.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2344 and 140357548?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 42.43202 and -2\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6672.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 25*k - 80. Let x be s(-21). Suppose -q = 3*i - 10, -5*q + 8*q - 4 = x*i. Solve 0*h = h + i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*h**2 + 115*h**5 - 120*h**5 - 16*h**2 - 20*h**2 wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p + 6. Let a be r(-2). Let b be (-896)\/(-80)*(-76070)\/a. Suppose 426002 = -2*s + w, s - 2*w = 2*s + b. Round s to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/((q**(-3)*q)\/q)*q*q*q\/q**(-6))\/(q**(-1\/4)*q)**(-1\/34))\/((q*q**4)\/q**(-4\/3)*(q*q**0)**1) assuming q is positive.\nAnswer: q**(2729\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 19*l - 5*r + 55 = 0, -l + 11 = 4*r. Let k = -13 - -1. Let u = k + 19. Solve u*q = 10*q + l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*h = -67*h - 44 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 = -0*o + 4*o. Let s = o - 2747\/11. Are 1 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -1 - (156\/65 - (-7 - 512\/(-80))). Let v(s) be the third derivative of 3*s**4\/4 + s**3\/3 + s**2. Calculate v(h).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14829, 32455, 50079, 67701, 85321, 102939?\n\"Answer: -d**2 + 17629*d - 2799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3\/q**0)**(-5))**(6\/7) assuming q is positive.\nAnswer: q**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-2\/15))\/v)**(-1\/25)*(v**(2\/7)*v)**(-1\/29) assuming v is positive.\nAnswer: v**(-6826\/76125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154 + -153.99999698. Round a to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*t - 7352 = 13705 + 4793 for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58304517 and 1032?\nAnswer: 466436136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3627\/(-124) - -29)*76.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 93*a - 2646.\nAnswer: 3*(a - 49)*(a + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1479427 and 622?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 109, 244, 433, 676, 973, 1324?\nAnswer: 1729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - 86. Suppose -y + 209 = 2*u - 4*y, j = -u - 4*y + 121. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21457 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 4*y**2 - 6*y**2. Let m(f) = -17*f + 64. Let x be m(3). Let w(p) = 35*p**2 - x*p**2 - 5*p**2. Give w(v(a)).\nAnswer: 17*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*z + 9*z + 70 = 0, 4*z - 64 = -4*j. Suppose -s = 3*p - 130, j*p - 10*p - 214 = s. Is p a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37310 - 37312. Put v, -6, 5, -13 in decreasing order.\nAnswer: 5, v, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwwjjdjwdwdjw. Give prob of sequence jwv.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 8*f + 9. Let u be k(6). Let y be 20\/4 - (-1 - u). Solve 5 = -y*s - 1, -4*s - 23 = -5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17199774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*s - j - 31, s - j - 3 = 0. Let x = s + -3. Suppose 0 = -4*l + x*l - 8. Which is the second biggest value? (a) -2 (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979736101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*u = 8, 0 = -5*i - 0*i + 3*u + 14. Suppose i + 4 = 4*c. Suppose -206 = -c*m - 2*f, 3*m - 3*f - 28 = 281. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 22805?\nAnswer: 22804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 1*(97 - 4)*103\/(-1545).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 94, 140, 186?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031918 to four dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -138 - -190. Solve d = -5*j + 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than -273619698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1 - -2) - 16. Let n = -10 - d. Suppose 132 + 93 = n*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75.8942 and -1.168.\nAnswer: -88.6444256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 184075738557058*g**3 + 184075738557066*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/142120 and 233\/4612440?\nAnswer: 50736840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2022 = 6*s - 2141 + 4259, 5*c = s + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 1.06, -87\/2, 5?\nAnswer: 1.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 7:18 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**2 - 1 + p + 2 - 2 - 4*p**2 in the form l*p + n + v*p**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w + 5*w**4 - 4*w + (-2*w + 3*w + w)*(w**3 + 0*w**3 - 2*w**3) - 2*w**3 - w**4 + 2*w**3.\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 0 + 4 - 2 - 10*l - l**3 + 0 + 11*l**2. Let j be z(10). Suppose -2*h - 26 = -2*w, j + 5 = -w - 4*h. What is the remainder when 25 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) + 2)*-1 - sqrt(152)\/sqrt(8)*4)**2 + -2 + sqrt(2299) + 4 + 0)*5.\nAnswer: 155*sqrt(19) + 2405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -118810890.9 rounded to the nearest one million?\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 91 = o - 161, -2*o + w = -95. Solve -o = 93*h - 108*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Find the second derivative of h + 2*h**4 - j*h**4 + 3*h**5 - 6*h**5 wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -454 divided by 227\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b - 9. Let s be u(4). Suppose -d + z = -2, 0*d + s*d + 3*z - 18 = 0. Suppose d = -p + 19. Put -3, p, 0 in descending order.\nAnswer: p, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u**4\/3 + 445*u**3 - 5017*u**2 + 27385*u\/3 + 14575 = 0. Calculate u.\nAnswer: -1749\/46, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0. Let n = d - 0.3. Let r = -9 + 11. Which is the closest to -0.1? (a) r (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2765060 equal to -2765052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 3*t**2 + t + 3. Let q(b) = -7*b**3 - 15*b**2 + 17*b + 14. Let x(i) = 6*n(i) - q(i). What is x(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 5*b. Solve b*v = 5*v - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 195 + -110. Suppose -5*j = x - 21, 3*x - 8 - t = -5*j. Suppose -4*q = -x + 16. Solve -q*l = 5*w - 10, -5*w + 7*l - 4*l = 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201000 (base 3) to base 10\nAnswer: -513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 11*w - 22. Let x be m(-9). Let q = -13 - x. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 833*h**2. Let y(u) = u**2. Determine b(y(r)).\nAnswer: 833*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**2*k*x + f**2*k + 2*f**2*x**2 - 3*f**2*x + 26*k*x**2 wrt x?\nAnswer: 4*f**2 + 52*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/139 and 64\/9.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjvjvmmmr. Give prob of sequence mr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 53586.\nAnswer: 214344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*l - 54*l - 55*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 37 = 187. Suppose -s*g + 10*g - 3*w + 1860 = 0, 3*g + w = 1112. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 7*s**2 - 5*s - 3. Let v be h(6). Suppose 0 = -7*x + 28. Solve x*w = v*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3 - r**2 - 3 + 5 - r - 6*r. Let k be v(-7). What are the prime factors of k*(14\/10 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-28 - 15) - 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129 by 1.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 1329 in increasing order.\nAnswer: -5, -4, 1329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*q - 1421149 = -415748, 3*z = -3*q + 1005405. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 159*u + 920. Let t be c(-6). Solve 1\/10*g + 7\/10*g**t - 3\/5 = 0.\nAnswer: -1, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3713*v - 192890 = -12208*v + 121425 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/5 - (3 + -14). Suppose -2*p - 9 = 3. Let f(y) = y**3 + 6*y**2 - y - 4. Let t be f(p). Solve 3 = -5*j + 4*b - q, 2*b = j + t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 5*g**2 + 2*g + 22. Give h(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 0.2 (c) 10 (d) -4 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23\/46 + 0\/2. What is the third smallest value in -6, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11008 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56100 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 6*w - 54, -3*y + 0*y + 25 - 20 = -4*w + 32 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10816 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -907, -953, -999, -1045, -1091, -1137?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2. Let d = -77 - -27. Let x = -46 - d. Put t, x, -0.2 in ascending order.\nAnswer: -0.2, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2559 + 2574 - 3828 - 1305 + 7*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 18*x + 6. Determine g(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137727007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1177 is divided by 390.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 17*u**2 - 19*u + 6. Let v be y(15). Calculate the highest common divisor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*b - 47 = 0, -4*b - 20 = -c - 0. Suppose 3*h - 18 = -3*d, -2*d = 8*h - 5*h - 16. Solve 3*s + h*u = -12, -5*s - c = -3*s + 3*u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1810 - -1962. Calculate the highest common divisor of c and 760.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45942129\/14 or 3281581?\nAnswer: 45942129\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 29 = 3*p. Suppose -g - p = -5. Let j be 8 + (0 - (1 - g)). Solve 0*y + j*y = -25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 4*i - 15. Let f be k(-26). What is f rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 12 = 18. Suppose -f = 2*f - 3*t, 4*f + b = t. Does 8 divide 3*(f - 93\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 + 30*o**4 + 29*o**4)*(o - o - o + (1 - 1 + 1)*(-3*o + o + 0*o) - 4*o + 2*o + 0*o).\nAnswer: -305*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/300 and 63\/1210.\nAnswer: 36300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f + 4*d - 77599996 = 0, 2*f + 3*d + 38800003 = 0. What is f rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, o: 3}. Give prob of sequence to.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2650042 = 5*i, 258073 = i + 2*s - 271927. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 21*p**2 - 2*p - 72. Let s be u(20). What is the highest common factor of 96 and s?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n. Let v be 6 + (9 - 3)\/(-2). Suppose -4*u - 2*f + 24 = 0, -29 = -0*u - 5*u - v*f. Let b(d) = u - 7 + 2*d**2. Calculate o(b(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.75 + 20.795024. Let d = 0.245119 - q. Let t = d - 0.2. What is t rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-6)*60\/(-25). Let s = 32 - 28. Put t, s, -5 in ascending order.\nAnswer: -5, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6127c (base 13) to base 6\nAnswer: 3421324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 5 - 5)*(-5*x + 0*x + 3*x)*(1 + 1 - 4) to the form l*x + v and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -158, -259, -366, -485, -622, -783, -974, -1201?\n\"Answer: -y**3 + 3*y**2 - 103*y - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/3978 and -191\/780.\nAnswer: 39780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 923*w - 1739*w + 816*w + 13425*w**2 - w**3.\nAnswer: -w**3 + 13425*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2561, -2558, -2553, -2546?\nAnswer: -2537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*2360.495\nAnswer: -11802.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**4\/3 + 19*j**3\/6 + 5*j**2 - 2*j - 26. What is w(6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p - 1. Let o be i(-3). Let b be (2 - 0)\/(7\/o). Let a be ((-2)\/(-6))\/(8\/(-6)). Put a, -1\/5, b in descending order.\nAnswer: b, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1296 + 1299. Solve 28 = h*f + 37 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l + 43*l - 11610 = -4*y, -2*l - 4*y = -4644. What is the greatest common divisor of l and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2253, 2256, 2261, 2268, 2277, 2288, 2301?\nAnswer: 2316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(320) - sqrt(320)*1 - sqrt(320) - sqrt(320)) + -3)*4)**2 + 1 + sqrt(60)\/sqrt(3) + sqrt(20) + sqrt(720) + 0 + sqrt(20).\nAnswer: 1554*sqrt(5) + 20623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 2a277353?\nAnswer: -2a277357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 7*p**2 - 4*p - 2. Let s(w) = w**2 + 5*w - 4. Let q be s(-6). Suppose -o = q*o - 42. Calculate the lowest common multiple of j(2) and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:27 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-1 - (5 - (9 + -2) - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 22 = -4*h, 0*h - h - 2*b + 11 = 0. Find the third derivative of -6*f - 3*f**3 + h*f - 4*f**2 - f wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttq when three letters picked without replacement from {q: 3, t: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 188664 divided by -4\nAnswer: -47166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -16*v - 700. Sort 2, 3, v in increasing order.\nAnswer: v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -921 by 90.\nAnswer: -307\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.7401 times -2\nAnswer: -3.4802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 + 0*x**5 + 5*x**5 + (-3*x**4 - x**4 + 3*x**4)*(3*x - x - 3*x) + x + 7*x**5 - x.\nAnswer: 10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -243.9 + 120?\nAnswer: -123.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysb when three letters picked without replacement from ysbsbtbtbybs.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 - 19*t\/2.\nAnswer: -t*(t + 38)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 47809.9 kilograms in milligrams?\nAnswer: 47809900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 210058 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2173444 and 853?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152.5 + 779. Let y = f + -627. Let x be 6 + 0\/2 + -1. Put x, y, 0, -1\/7 in decreasing order.\nAnswer: x, 0, -1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/1)\/((-13)\/13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -206 - -366. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 1:28 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {s: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1746443225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-25)\/((-25)\/22)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 439 + 145 - 582 + 55*l. What is k(2)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {l: 7, w: 6}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*2)\/((-160 + 166)*10\/16).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 16 = -0. Let p be (28\/6)\/(o\/(-6)). Suppose -5*k - p*c + 3*c = -26, -4*k = -5*c + 12. Solve k*a - 7 = -z, -3*z = 2*a + 2*a - 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u = 8*u + 88 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - 2*l + 2123. Let r(p) = 17*p. Calculate r(w(a)).\nAnswer: 34*a**2 - 34*a + 36091","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 133*i - 129*i - 6. Suppose -15 = 2*j + 3*j. Let u be -3 + (2 + 0 - 1). Put u, j, i, 2 in decreasing order.\nAnswer: i, 2, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 622 (base 8) to base 16\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1864 and 26510.\nAnswer: 24707320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 88475 (b) 1\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6195410 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, 0, 1\/3 in decreasing order.\nAnswer: 1\/3, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 4455.0245557\nAnswer: -4454.0245557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*x - 4 = c, 3*c - 3*x + 3 = 0. Let b = -0.8 + -0.3. Let m = 0.1 + b. Put 1\/4, m, c in increasing order.\nAnswer: m, c, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 17*r - 59. Solve -2*g - 14 + r = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9688031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*y**4 + 2*y**4 - 2*y**4 + 2*y**4 + (-2*y**3 + 2*y**3 + y**3)*(2 + 2*y - 2) + (-2*y - 3*y + 2*y)*(3*y**3 - y**3 + 0*y**3).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(216)*-3 - sqrt(6)))\/((2*sqrt(8)*2)\/sqrt(4)).\nAnswer: 19*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7744 + 5608 + 516 = 228*y - 3004 for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 11. Let a(s) be the second derivative of -2*s + 0 + 1\/30*s**4 + 1\/15*s**3 + 0*s**d - 1\/75*s**6 - 1\/50*s**5. Determine y, given that a(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11197924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21022011202 (base 3) in base 7?\nAnswer: -1136033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 o when four letters picked without replacement from oyygyoyottysttygty?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19096.55 rounded to the nearest integer?\nAnswer: -19097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6665724348 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4527*a + 3787*a + 25 - 24 in the form x + o*a and give o.\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-4)\/29192*-89)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5902, -6310, -6732, -7174, -7642, -8142, -8680?\n\"Answer: -d**3 - d**2 - 398*d - 5502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 20197888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k*o**3*v + 31*k*o**2*v + 2*k*o*v + o**3 - 1956*o*v wrt o?\nAnswer: 24*k*o*v + 62*k*v + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*sqrt(180) + 2 + 3 + -4)*4.\nAnswer: -96*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 p, 1 x, and 1 s when four letters picked without replacement from osxaoosaaxaxopi?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.347 (b) 0 (c) 3 (d) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, u: 3, g: 5}. What is prob of sequence aua?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**5 - 13*y**4 + 21*y**3 - 17*y**2 + 7*y + 3. Let a(i) = 2*i**5 - 12*i**4 + 20*i**3 - 16*i**2 + 6*i + 2. Let b(x) = 3*a(x) - 2*z(x). Factor b(w).\nAnswer: 2*w*(w - 2)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:31 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42604, -93983, -145362, -196741?\nAnswer: -248120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 28. Solve 3*v - p*v = 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57305081 to the power of 1\/2, to the nearest integer?\nAnswer: 7570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 2*u - 15, -4*w + 0*u - 43 = 5*u for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 10 = -17*y. Calculate the lowest common multiple of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + (-77 - -73).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.06 (c) -4\/9 (d) -45 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 10*t = 4. What is the third smallest value in 5, t, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 + 4 + 5)*(2*m + 3*m - 6*m) as t + u*m and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 + 27*z**2 + 12*z - 4. Determine c(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -5 (c) -9482 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6262021037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/2 and -151\/504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 - 965*p + 9936. What is o(311)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1\/2, -130, -0.4, 4 in decreasing order.\nAnswer: 4, 1\/2, 0.2, -0.4, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.59 - -0.21. Let c = -1.1 - -8.1. Let w = f - c. What is the closest to 1 in -5, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 8. Is 3 - (a - 2 - -3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1425470.\nAnswer: 2, 5, 142547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731639468?\nAnswer: 2, 7, 149, 157, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 8:59 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 - -100. Let q(n) be the second derivative of -n**4\/12 + n**3\/3 + 9*n**2\/2 + 73*n. Calculate q(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(225\/10) + (-43)\/9. Let d be (66\/15 - 4)\/(1\/g). Let i(x) = 2*x**2 + 3*x + 3. What is i(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 3}. Give prob of picking 3 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 223\/9. Suppose 3*k + 4*s + 5 = 29, -3*s + 18 = -5*k. Which is the nearest to 0.1? (a) k (b) v (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 + 10*y**2 - 9*y + 14. Calculate h(4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-one halves of a millisecond?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 17*q + 1889. Let y(j) = 2*j**2. Calculate k(y(a)).\nAnswer: 34*a**2 + 1889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*(-3)\/(105\/(-28))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + -1*sqrt(136)*-5 + sqrt(136))\/((sqrt(80)*2 + sqrt(80))\/sqrt(10)).\nAnswer: 7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319556841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -25*z + 6. What is the remainder when a(-15) is divided by 142?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -246*y - 979. Let t be v(-4). Let b be 56 - (-1)\/(-2)*4. Let j be 1\/2 - b\/(-4). Solve o - g = 5 - 3, o = t*g + j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.95235 decades to months.\nAnswer: 8994.282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1146387\/52 + -22048. What is the common denominator of f and ((-170)\/14)\/(6*1\/(-7))?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*sqrt(243).\nAnswer: -90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8729?\nAnswer: 7, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14275.\nAnswer: 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-3)*3528\/(-8232)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 18*a**2 - a - 32. Let n(m) be the second derivative of m**2\/2 + 7*m. Let h(k) = -6*n(k) - p(k). What are the prime factors of h(18)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3 + 4*h - 3. Let x(w) = -10*w. Let k be -1*1 - (14 + -10). Let q(p) = -7*p. Let y(v) = k*x(v) + 7*q(v). Determine d(y(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2094292.5 months to millennia.\nAnswer: 174.524375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 5:12 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/24)\/((60\/(-72))\/((-45)\/6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -4 - 4*(-6)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.14 or -23\/14?\nAnswer: -23\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 16*x**2 + x - 12. Let o be u(16). Let t(n) = 4*n**3 - 2*n. Let g(y) = 2*y**3 - y. What is o*t(s) - 9*g(s)?\nAnswer: -2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 353204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2 (c) 0.4 (d) -0.072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 572\/104*1\/((-1)\/(-202)). Suppose 421 = 2*u - i. Suppose -66 = 5*m - u. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/30)\/s)\/s*s)**(-1\/10) assuming s is positive.\nAnswer: s**(29\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-605)\/(-22)*(2 + 2)*10\/50. Which is the third biggest value? (a) -9 (b) -2\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*i - 2102789 = 1748971 - 435958. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153 and 102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21123212 (base 4) in base 5?\nAnswer: 2214010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4\/6299?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.064221689 to 5 dps.\nAnswer: -0.06422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2654, -2660, -2666?\n\"Answer: -6*f - 2648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(108)*2 + -4)*-5)**2.\nAnswer: -86400*sqrt(3) + 403200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**(10\/9)*x**3\/x*x**(-1\/3))**11 assuming x is positive.\nAnswer: x**(385\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 947672254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4)*2*5. Suppose 4*g = -5*n + n + 1240, i*n - 1546 = -g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 67, -2, -1\/4, -0.1?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392)\/(sqrt(42)\/sqrt(6)) + sqrt(56))\/(sqrt(72)\/(-2*sqrt(9)) - sqrt(8)))**2.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(704) + 0) + sqrt(704).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5474 and 1545845?\nAnswer: 1208850790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l + 103 = 545. Let y be -3*(240\/(-9))\/4. Let o = y + l. Solve o*h - 20 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 260, 478, 696, 914, 1132?\nAnswer: 1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 600497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -504246.81 to the nearest ten thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j - 12. Let d be (-2)\/((-8)\/(-2))*j. Solve -7*h = -d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003193 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36988 and 63?\nAnswer: 332892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 692200000 rounded to the nearest one million?\nAnswer: 692000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1513, -6209, -14055, -25039, -39149, -56373, -76699?\nAnswer: -100115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*6\/(-18) - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.057, -1749870, -2\/3, -2?\nAnswer: -1749870","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31115 is divided by 5153?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 10*a - 4. What is the third derivative of -39*l**2 + a*l**2 + 17*l**2 + 37*l**6 wrt l?\nAnswer: 4440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 5*v**2 + 3*v + 7. Let i be u(5). Suppose 2*m - i = 4*n, 2*n = -4*m - n. Let a(r) = r**3 + 4*r - 4. Is a(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x. Let z(i) be the second derivative of 7\/6*i**3 - 153*i + 0 - 2*i**2. What is d(z(q))?\nAnswer: 14*q - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63751, -63752, -63753, -63754?\nAnswer: -63755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k - 66 = 0. Suppose 30*i + 190 = -30*i - 35*i. Put i, k, 0, -5 in increasing order.\nAnswer: -5, i, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -762 - -765. Solve 3*c + 1 = -s + 3, 0 = -c - r*s + 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5707 bigger than 5707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 3*h - 46, -2*t = 2*h - 26. Calculate the lowest common multiple of t and (-80)\/(-15) + (-2)\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*y + 63*y + 117 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 12:24 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/1 + -152)*3\/(-3).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, -11, -5, 2546 in decreasing order.\nAnswer: 2546, 10, 0, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 468 and 1491741?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.41, 1\/24, 36, 10, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -164.1 + 169.1. Put 0.5, l, 0 in increasing order.\nAnswer: 0, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 + 133*z**2 + 192*z - 195. Determine d(-65).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8708 is divided by 1028.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(-4*l - 2*l**2 + 4*l) - 2*l**2 - l + l + (3 - 3 - 13*l)*(0*l + 0*l - l) - 3*l**2 + 2*l**2 + 0*l**2 to p*l + m*l**2 + w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 5*t**2 - 2*t - 6. Let i be r(3). Suppose -i = -3*x - 0. Which is the nearest to -0.1? (a) x (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -93445\nAnswer: -14\/93445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 13) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 6\/2 + 2 + -6. Let t be 4 + h + (-15)\/5 + -24. Calculate the remainder when 5804\/16 - 3*2\/t is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 0.1 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 19*t - 43. What is b(12)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - t - 1 + 1)*(-2*t**2 + 2 + 1536*t - 4 - 1533*t).\nAnswer: 2*t**3 - 5*t**2 + 5*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2 - 0. Let p = -754\/3 - -304. Let m = p + -52. Which is greater: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-1*30)\/5. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + 7*i**2 - 7. Let f be l(-3). Suppose -2*o = -8*o + 54. Let s be (-30)\/o*12\/(-8). Solve 0 = -f*b - 3*b - s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -147\/3943, -18, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 1121*o**6 - 6*o**2 + 247*o - 3755. What is the second derivative of h(a) wrt a?\nAnswer: 134520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18740 and 0.05?\nAnswer: 18739.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 8937654?\nAnswer: 26812962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 84 = -2*o, 3*c + 16 - 44 = -o. Suppose d = -5*k + 2*k + 46, 0 = -2*k + 4*d + o. Calculate the remainder when 63 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 3. Suppose -3 = -2*o + h. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118633439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16350 is divided by 4954?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7697925 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 98.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + -60. Find the second derivative of -5*l**4 + 3*l - 4*l + 5*l**4 - v*l**5 wrt l.\nAnswer: -400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-10) + 9\/(-5). Calculate the common denominator of -3 + (-28)\/(-8) - t and 53\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1635749640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5170752 - 5170752 - 3918*i**3.\nAnswer: -3918*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (59 - 165 + 551 + 468)*(-76 - 27*f + 76) in the form n + l*f and give l.\nAnswer: -24651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3 + 225*q**2 + 3861*q - 13689 = 0 for q.\nAnswer: -39, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 68 = -4*h, -4*h + 8 + 8 = 0. Let m = y + -9. Suppose -5*t = -4*z + 3634, 4*t + m*z + 746 = 3*t. What is t rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*a - 2*i, -29 = -4*a + 2*i + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6*1)\/1)\/(-2). Suppose 0 = 3*c + z*c - 90. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 7)*(l + 2*l - l + (0 + 0 - 2*l)*(5 - 4 - 4))*(-1 + 2*l + 1).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 28?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1356 divided by 226.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 480 - 478. What is the nearest to -2 in 4, d, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 6*b**2 - 2*b - 8. Let q be h(-6). Suppose 0 = q*u - 3*x - 35, -5*u - 3*x = -5*x - 42. Let i be 2 + 1\/((-4)\/u). Solve i = -y - 6 + 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -75768?\nAnswer: -2273.04","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 20, 59, -1\/4, 28?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -905.3614 rounded to one decimal place?\nAnswer: -905.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -491 - -602. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - (sqrt(170) - (sqrt(170) - (sqrt(170) - 3*sqrt(170)))))*1)\/sqrt(10))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30)\/(sqrt(294)*-2) - (3 + sqrt(405))) + 1)*-6)**2.\nAnswer: 9144*sqrt(5)\/7 + 732861\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36720 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -395*p - 8. Let u be -4 + (5 - -5)\/5. List the prime factors of t(u).\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 318.97 + 4.03. Let q = -322.7 + k. Let m = -0.6 + 0.1. What is the second smallest value in q, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -4676*l**3\/3 + 19*l**2\/2 - 3*l - 2. Let q be c(13). Round q to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**8\/16800 - o**7\/630 + 11*o**6\/1800 + 37*o**4\/6 + 7*o - 3. Let c(m) be the third derivative of x(m). Factor c(f).\nAnswer: -2*f*(f - 1)*(f + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1719, 18, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43 or -3?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.577785808385 - -0.12.\nAnswer: -29.457785808385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 27*m**2 - m - 2. Suppose -5*k + 33 = -4*p - 0*k, k = 5. Let y be h(p). What is the greatest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a + 12 = 0. Let n = -11 + 18. Solve 0 = -n*g + a*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*w - 35, -18*h + 17*h + 27 = 5*w. Solve 5*v = 3*r + 37, 4 = r - h*r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130571 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000111001 (base 2) in base 9?\nAnswer: 5624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, 1 r, and 1 p when four letters picked without replacement from {n: 1, a: 1, g: 2, u: 2, p: 2, r: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:26 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -12305 and -12309 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-26)*(-312)\/24?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -18*t**2 - 80145*t - 320594. Determine l(-4).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*d - 10*d - 332. Suppose 137 = -d*r + 84*r. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:25 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-85) - (-3472)\/(-34). Let s = -77 - c. Let i = s - 20. Solve z + z = 2, 2*k - 3*z = i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 2. Suppose 21*a - 17*a + 13 = r, -4*a - 15 = -3*r. Let u(w) = 1. Determine r*v(j) + 2*u(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/8)\/(33\/44). Which is the smallest value? (a) i (b) 9 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -46 + 617773?\nAnswer: 617729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2, 2\/3, -5, -138.96, -1, 0.1, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32\/7, 3271.753, -3\/2?\nAnswer: 3271.753","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u - 40. Let l be t(7). Suppose 6*g + 152 = -2*b + g, 170 = -2*b + 4*g. Let x be l\/((-12)\/b)*2. Which is smaller: x or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -4 in descending order.\nAnswer: 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 20 = -5*v, -2*v = -5*x + v - 50. Suppose 2*c + 6 = -0, -3*c - 30 = -3*h. Sort x, h, 2 in descending order.\nAnswer: h, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2717 + 2717 + 134*j)*(-j**4 + 3*j**4 + 0*j**4).\nAnswer: 268*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -91465, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - 175*g + 468. What is y(-90)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5 - 2.5. What is the nearest to -14 in y, 9, -0.04?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 3*a**2 + 70 - 140.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {q: 12, a: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205 and 902?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -43 (b) 0.1 (c) -0.04 (d) -1\/5 (e) -9\/2 (f) 11.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2629 + -129?\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceeneneccccccccnvecc. Give prob of sequence ev.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3\/14*16\/12\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + w = 5. Suppose -w - 2 = o. Sort 5, o, 4 in ascending order.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 162*r**2 + 216*r - 1012. Calculate the remainder when s(5) is divided by 133.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 716*o**4 - 7956*o**3 - 82176*o**2 - 119600*o + 14400 = 0.\nAnswer: -5, -2, 20\/179, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**3\/(a*a\/(a\/a**14*a)) assuming a is positive.\nAnswer: a**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 395 divided by 24755\nAnswer: 79\/4951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6971, 27934, 62895, 111854, 174811, 251766?\n\"Answer: 6999*u**2 - 34*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4506*q**2 + 10*q**3 + 4506*q**2.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 201 - 118. Suppose 2*l = x - 7. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 2*k + 2. Let t = -78 + 82. Let g(i) = -3*i + 0 + i**2 - 3 - 2*i**2. What is t*g(q) + 6*c(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = v + 13, 60*v - 2*m - 102 = 82*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/(-18) - 26\/(-117)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 710*n**2 + 154*n - 144. Let y(q) = -356*q**2 - 77*q + 71. Let m(p) = 3*f(p) + 5*y(p). Let k(a) = 27*a**2 + 6*a - 6. Calculate 77*k(v) - 6*m(v).\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 13*w**2 - w + 12. Determine t(-13).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {k: 4, i: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -616841823 divided by -2\nAnswer: 616841823\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448406.\nAnswer: 2, 3, 67, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 5, -288.3, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6377651.\nAnswer: 7, 29, 89, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*d = 2, 5*d + 4 = 4*a - 1. Let n(k) = -k**3 - k**2 - k - 2. Give n(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13890163 plus -1.118?\nAnswer: 13890161.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*4\/(-30) + (-26)\/(-65). Let i(r) be the second derivative of 24\/5*r**2 + s*r**3 + 9*r + 1\/20*r**4 + 0. Determine g, given that i(g) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 111*o - 37*o - 57*o.\nAnswer: 17*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*m + 39*m - 90. Solve -y - 2*h + m = 3*y, -2*h = 3*y - 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-30))\/((3*(-2)\/105)\/((-4169)\/29183))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(2 + (-42)\/30). Let l = -28 + 32. Let j be ((-30)\/10)\/((-3)\/l). Sort j, -4, a in increasing order.\nAnswer: -4, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -44. What is the greatest common factor of y and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.055375 less than or equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-168)*27\/(1539\/38)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -12\/1031 (b) -2\/11 (c) 19 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 27*d = -32*d + 4854, -3*d + 4858 = 4*q. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + -45. Solve -2*g + b*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 3:45 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -347, 2, 240.\nAnswer: -347, -5, 1, 2, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v - 10 = 0. Sort -8, v, -0.3 in ascending order.\nAnswer: -8, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4278.\nAnswer: 2, 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 28*d - 5832 = 0. Let l = d + -413. Calculate the highest common divisor of l and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from eyyggyeg.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 582395975 a multiple of 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*k + 19*k = -169*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 11:40 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279*q = 275*q. Sort 1, -1, q, 3 in decreasing order.\nAnswer: 3, 1, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 14*t + 12.\nAnswer: 2*(t - 2)*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 713 + -708. Which is greater: 11\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.7, -3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 4:25 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d - 9. Let w(g) = 2*g + d - 2*g - 2 - g. Let h(f) be the third derivative of f**4\/24 - 2*f**3\/3 + 7*f**2. Give -h(m) - 3*w(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + -3*((sqrt(684) - 2*sqrt(684) - sqrt(684)) + -4 - (1 + sqrt(684) + -3)) + -3)**2.\nAnswer: -216*sqrt(19) + 55408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27, -32, -35, -36, -35, -32, -27?\n\"Answer: v**2 - 8*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -1.213, -7, -228?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129.3 + -129. What is the smallest value in p, 1, -4, 67\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5))**2 + -5 + -4.\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c - 3*c - 14*c - 15*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16335 + 228583\/14. Let m = k + 15\/2. Let b = -2.93 + -0.07. What is the closest to 1\/3 in b, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3 = -3*o, -o + b = -4*b - 1. Suppose -h - 14 = -3*h. Let v = h - 6. What is the remainder when v is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 91398\/(-74) - (45 + -40). Let q = 1240 + y. Suppose 0*w + 3*i - 5 = -4*w, 0 = 2*i - 6. Is q at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 24.5. Let l = g + -6.5047. What is l rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61120135 to the nearest integer?\nAnswer: 7818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.014, -9, -0.1.\nAnswer: -9, -0.1, -0.014, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 706, 2663, 5860, 10291, 15950, 22831, 30928, 40235?\nAnswer: 50746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 478*l - 5457. Determine y(12).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1241341023 (base 5) to base 13.\nAnswer: -838550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2008 - 2026. Which is the fifth biggest value? (a) y (b) -5 (c) 0.6 (d) 0 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -2973?\nAnswer: -2972.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 958 - 956. Suppose -6*q - 7 = -2*k - q, 5*k - w*q = 49. Calculate the remainder when 79 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 435395*a**2*i**3*y + 179*a**2*i**2*y - 328*a*i - 3*i**3*y - 169*i**3 - 13*i**2*y wrt a?\nAnswer: 870790*i**3*y + 358*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 323 - 1123. Let r be 4\/38 - x\/(-532). Factor 6\/7*k + 2\/7*k**3 - r*k**2 - 2\/7.\nAnswer: 2*(k - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57, 263, 977, 2517, 5201, 9347?\n\"Answer: 53*y**3 - 64*y**2 + 27*y + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 467*n**3 - 467*n**3 - n**4 - 369*n + (0 - n**2 + 0)*(3*n**2 - n**2 - n**2) + 9*n**4 + 0*n**4 - 4*n**4.\nAnswer: 3*n**4 - 369*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -125738270 less than -125738269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 t when three letters picked without replacement from {v: 4, t: 2, w: 1}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 780 - 537. Calculate the remainder when z is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**4\/4 - 2*k. Let d be r(1). Solve 3*u = d + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*m + 8*m**2 + m - 2*m wrt m.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 + -2. Let h = -9.8 + 0.8. Let d = -10 - h. What is the nearest to d in 4, -1\/4, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 3*u + 3. Let v be n(-2). Let c(q) = -59*q + 10. Let w(f) = -f + 1. Let a(i) = v*c(i) - 2*w(i). What is the first derivative of a(x) wrt x?\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*a**2 - 7*a**2 - 3*a**3 + 4 - 9*a - 1.\nAnswer: -3*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((2 - 1) + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 779 and 0.06.\nAnswer: 46.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 0*g**2 + 4*g + 3 - 5*g**2 + 6*g**2. Determine i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3542257, -3541869, -3541481, -3541093, -3540705, -3540317?\n\"Answer: 388*z - 3542645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 2. Let k(t) = -15*t + 2. Let l(w) = -16*w + 2. Let a(v) = b*k(v) + 5*l(v). What are the prime factors of a(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 875296.00185 + -875333. Let s = 37 + q. What is s rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282 - 299 - 373 - 75*g**2 + 954.\nAnswer: -75*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 4612 - 1031 = 0. What is the greatest common factor of 38 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97934189 divided by 29.\nAnswer: 3377041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-3 - 8) - (371 + -457)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5828 is divided by 5804.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-44)\/20 + 3 - (-348)\/(-210)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 274, 9, -3\/7, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = -14 + 3. Sort 4, v, -30 in descending order.\nAnswer: 4, v, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*n + 6, 0 = 7*n - 12*n - 25. Suppose 25 = 5*t + 5*r, -t - 3*r - 4 + 13 = 0. Suppose 0 = t*x - x - 8. Sort 2, d, x.\nAnswer: 2, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 893914 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 10*c - 4. Let n = 30 - 9. Suppose 25 = -3*u - 4*h + 8, -n = 3*u + 3*h. Is x(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/1 + (-14)\/8. Let z be (-8)\/(-25) - (-16)\/200. Which is the nearest to -1\/9? (a) z (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 444, 5, -0.2, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*x = -137*x - 164*x - 684 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g + 12. Let w(m) = 7*m - 24. Let k(a) = -11*f(a) - 6*w(a). Let z be k(-7). List the prime factors of 13\/z*(-8 - -4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - h - 2*h)*(-2 + 2 - h + 12*h - 82 + 82 + h - 5*h + 3*h + (-2 + 1 - 1)*(4*h + 2*h - 7*h) + h + 0*h + h + 0*h + h - 3*h).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i*x**2 - 223334*i + 454646*x**2 with respect to i.\nAnswer: -3*x**2 - 223334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.033*-0.42.\nAnswer: 0.01386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 9, i: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18233 + 17737. Which is bigger: u or -487?\nAnswer: -487","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 20 = 2*p, 100 + 83 = 2*p + 3*w + 164 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -2 (b) -19 (c) -1\/5 (d) -1\/9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -17 + 82\/(-10) + (-186)\/(-155). Suppose 65 = 2*a - 3*m, 4*a + 3 = -4*m + 103. Let b = w + a. Solve -2*n - 2*n = -3*d - 17, n = d + b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/36 and 75\/2396.\nAnswer: 21564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 3:36 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222 is divided by 244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 2*i**2 + 3*i - 3. Let z be y(2). Let h be (0\/2)\/(-1 - -2). Suppose 0 = 4*a - h*a - 4. Solve -z*s + a = 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 4\/7*n**3 - 92 + 1\/14*n**4 + 0*n + 5\/7*n**2. Factor c(x).\nAnswer: 2*x*(x + 1)*(x + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 15*u**2. Suppose 106*o - 102*o - k - 112 = 0, -4*o = -2*k - 116. Let i(h) be the first derivative of 0*h + 1\/3*h**3 + 0*h**2 + o. Give x(i(s)).\nAnswer: 15*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209404025, 209404027, 209404029, 209404031, 209404033?\nAnswer: 209404035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 5*d - 818 - 3*d - 2*d**2.\nAnswer: -2*d**2 + 2*d - 818","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2.5. Suppose -p - 95 = -5*f, 6*p + 5*f + 380 = 2*p. Let o = p + 671\/7. Which is the third smallest value? (a) r (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.492 - 0.692. Suppose 2*c + 10 = 4*c. Let x = c + -2. Which is greater: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 82213.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 0*p + 0*p**2 + 0*p**3 - 3 - 3\/4*p**4. Let i be d(-1). Which is smaller: i or 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 2792*x + 487204.\nAnswer: 4*(x + 349)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87\/4*y - 39\/2*y**2 + 3\/4*y**3 + 81\/2 = 0.\nAnswer: -2, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3052*d + 24659. Determine h(-8).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 46647401+-22.4\nAnswer: 46647378.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/257 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1150 and -51\/10?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5341536 and 355666?\nAnswer: 2182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a micrometer in nanometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 8*s + 5. Let f be (45\/10)\/((-3)\/(-4)). What are the prime factors of k(f)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24142141 (base 6) in base 12?\nAnswer: -307951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l**2 + 15*l**2 + 21*l**2)*(-1 + 1 - l) - 68*l**3 + 59*l**3 + 0*l - l.\nAnswer: -33*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 9. What is the second biggest value in q, -1\/3, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 4*s - 17, -13*q = -5*s + 8 - 4 - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxkbgkd. Give prob of sequence dk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - -1.7. Let a = 1 + -2. Sort a, 1, b.\nAnswer: a, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.6 + 5.1. Which is the second biggest value? (a) -5 (b) p (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1170)\/(-2)*(2 + 5 + 20). What is the highest common divisor of 45 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2660585.\nAnswer: 5, 17, 113, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159599505.\nAnswer: 3, 5, 13, 113, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4693210 to the power of 1\/2, to the nearest integer?\nAnswer: 2166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c**2 + 119*c + 25. Let l be b(12). Suppose 131 = 5*p + 4*u - 110, -3*p - u = -146. Let j(s) = -p + 66 - 2*s - s**2 + 13*s. Give j(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*2*sqrt(448) + (sqrt(448) - (-3*sqrt(448) + sqrt(448) + 1))*5)**2.\nAnswer: 2000*sqrt(7) + 280025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - 9) + (3 - 1). Solve d = -h + 4*h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7021.8424 rounded to the nearest integer?\nAnswer: 7022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2168 (base 13) to base 14.\nAnswer: 19a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o - 15. Let m be v(-6). Solve -4*i - 2*t - 7 = -1, 0 = 5*i - 5*t + m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 + (-7)\/(-4))\/((-4329)\/(-4332) + -1)?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -14. Let k = g - -5. Let i = k - -11. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/12*(-3 + (-19)\/(-5)). Suppose k*u + 11*o = 6*o + 11532, -3*o = -u + 5777. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 139*n**2 + 0*n**4 + 247 + 3\/5*n**5 + 0*n - 4\/3*n**3. Find the second derivative of g(o) wrt o.\nAnswer: 36*o**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322218 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6806 + 6807. What is the nearest to l in -2, -5, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*3)\/(4*(-9)\/36)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112020102202201 + 1222?\nAnswer: -112020102200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633880755?\nAnswer: 3, 5, 19, 421, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43806*u - 19 + 49014*u + 19.\nAnswer: 5208*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-13 - (-16 + -14)) + -21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -258.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 37.15?\nAnswer: 14.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*n - 8*n**3 - 11*n)*(0 - 2 - n + 0) as g*n**4 + v*n**2 + c + m*n + a*n**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/4 - o**3 + o**2 - 3*o - 13. Determine b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06982 - 0.06982. Is 0.0939 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -1, -24 in ascending order.\nAnswer: -24, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2554476094 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 1. Let p be (-385)\/88 - (-3)\/8. Let v be r(p). Suppose 3*t = 5*t - 3*b - 12, t = -v*b - 7. What is the least common multiple of 11 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 11) + (1 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let k = 0.09 + f. Let u = 148708 - 148703. Which is the closest to -0.1? (a) u (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -4\/5*z**6 + 0*z**4 + 0*z**5 - 6*z**2 + 0*z**3 + 21*z + 0. What is the derivative of y(o) wrt o?\nAnswer: -96*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -150*t - 753. What is m(-12)?\nAnswer: 1047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2926751 divided by 3?\nAnswer: -2926751\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 5 (b) -4 (c) 3 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 483568 - 483568.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 9 = 4*r - 0*k, 0 = 4*r + 2*k - 6. Let j be (-4)\/(-6)*9\/2. What is the nearest to 0 in 1\/6, r, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125030400 to the nearest 100000.\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsffsfuufrufffffbx. Give prob of picking 1 x, 1 b, and 1 f.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2. Let k(t) = 507 - 28*t + 876*t - 507. Calculate a(k(u)).\nAnswer: 719104*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1074 and 95\/14.\nAnswer: 7518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -3*h**5\/20 + 5*h**4\/12 + 7*h**3\/6 + 14*h**2 + 34*h. Is s(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3974b7 + 3?\nAnswer: 3974ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 5*m + 2. Suppose -3*s = 3*o + s - 40, -4*s = 5*o - 56. Let p = o - 4. Let b = 0 + p. Give i(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-3)*90\/6840*-627?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 25480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9423 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**3 + 19*w**2 - 30*w + 216. Let l be o(6). What is the highest common divisor of 832 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + k**3 - k**3 + (-7*k**2 - 8*k**2 + 10*k**2)*(k - k - 2*k) + 165*k - 165*k + 47*k**3.\nAnswer: 58*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2254.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/((-600)\/552) - 1586\/(-69)?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(7\/3))\/i*i)**(-10\/13)*(i**(-2\/15))**(-22) assuming i is positive.\nAnswer: i**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3683778152?\nAnswer: 2, 199, 2313931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*l**4 + 24*l**4 + 46*l**4 - 155 wrt l.\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from {z: 1, n: 2, w: 2, t: 1, h: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 286*m**2 - 281*m**2 + 2*m - m + 2*m**3 to the form u*m**3 + x + t*m**2 + h*m and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18671531 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*i - 4*i - 5*i to k*i + b and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1872))**2*5.\nAnswer: -120*sqrt(13) + 9365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 - 14415?\nAnswer: -14345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.3905665761 - 0.2\nAnswer: -2.5905665761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5\/a*a**(-5))**(2\/45) assuming a is positive.\nAnswer: a**(-2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 1 + sqrt(72) - sqrt(72)) + (sqrt(72) - (0 + sqrt(72))) + 0 + -4*2*sqrt(72)*-1)**2.\nAnswer: -384*sqrt(2) + 4624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmhvhhvhhhhhhh. What is prob of sequence vm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 2)*(47*f - 102*f - 16*f - 70*f).\nAnswer: -705*f","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 2 (b) 0.05 (c) 557.5 (d) -0.07 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10*p - 124. Suppose -37 - 22 = -14*y + 137. What is j(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1025 + 1024.89. Sort 1, b, 4\/3 in decreasing order.\nAnswer: 4\/3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {s: 3, x: 5, a: 3}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16778778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -836.232 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 3. Let v be j(3). Suppose v*t + t - 2*o = 26, 5*t - 70 = -5*o. Suppose -5*u + t = -3*u. Solve 4*b = 3*l + u*b - 10, -4*b - 9 = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**(-1\/47)*(g**2)**(-32))**(2\/59) assuming g is positive.\nAnswer: g**(-102\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*u - 2, 0 = -8*u + 7*u + j + 1. Let b be ((-12)\/(-10))\/(4\/10). Differentiate -14 - 3*r**3 - r**3 + 2 - u*r**b wrt r.\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - 48. Let x = -48 - b. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -276.3 and 249.\nAnswer: -68798.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0161975356 rounded to four decimal places?\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 5280057*c - 15840198.\nAnswer: 3*(c - 1760022)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1404 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535396 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, 222, -21, 5 in ascending order.\nAnswer: -21, -5, 5, 8, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332 = -22*z + 706 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29847*g**5*x**3 + 755*g**2*x**3 - g*x + 7620214*x**3 wrt g?\nAnswer: 596940*g**3*x**3 + 1510*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434444 (base 12) in base 7?\nAnswer: 113546110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**5\/60 + 17*g**2. Let s(a) = -25*a**2. Determine p(s(q)).\nAnswer: 625*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*u, -2*u = a - 4*a + 1. Let t(b) = -2*b - 5. Let s(j) = j + 1. Let w be 4\/(-7) - (-36)\/(-84). Give a*s(z) + w*t(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 350250071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -14*k - 39. Calculate the remainder when 166 is divided by j(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 + -12 - -41) + (10 - 90).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11800444.\nAnswer: 2, 19, 155269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 558, 2\/5?\nAnswer: 558","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1, -0.3, -5, -2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*c = -3 + 43, 0 = 4*k - 2*c - 36. Let a be 14\/91 - (-1 - k\/(-65)). What is the closest to a in -0.3, -1, -20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 9 = 19*m. Let c = -5 - 0. What is the second smallest value in m, 0.11, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2956 - -3357.91.\nAnswer: 401.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 14 = -2*y - 4*v, 7 = -4*y - 3*v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108 - -137. Suppose -u*t - 15 = -30*t. Suppose -o + 241 = 4*i - 0*o, -4*i - 5*o + 261 = 0. Calculate the remainder when i is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {i: 3, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 2260*m - 84 = 2264*m, 5*q - m = -0*q - 232 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/4*117\/702\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = f, -68 = -3*w + 2*f + 42. Calculate the remainder when (3 + w\/(-8))*-28 is divided by (-36)\/10*10\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 6 = 5*x. Suppose -4*s + 23 = x. Suppose 0 = 7*a - 3*a - 5*w - 117, -w = -s*a + 129. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10553195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5956.163 milligrams?\nAnswer: 0.000005956163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, c: 4, t: 2}. What is prob of picking 1 d and 2 t?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4012, 4007, 4000, 3991?\n\"Answer: -f**2 - 2*f + 4015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2478? (a) 1 (b) -2\/19 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7796*a + 7808*a = -25 + 157 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*i**4 - i**2 + i**2 - 3*i**2 + i to c*i**4 + r + w*i + f*i**3 + m*i**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 0.7. Sort d, -2\/21, -3 in ascending order.\nAnswer: -3, -2\/21, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least as big as 61\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.53846 millennia in months?\nAnswer: 666461.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 - 1) - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 131991, 131933, 131837, 131703, 131531, 131321?\n\"Answer: -19*w**2 - w + 132011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192241914?\nAnswer: 2, 3, 32040319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16410115, -32820232, -49230349, -65640466, -82050583, -98460700?\nAnswer: -114870817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 3*f**2 - 8*f - 52. Let p(z) = -3*z**3 + 7*z**2 - 17*z - 107. Give -4*p(s) + 9*t(s).\nAnswer: 3*s**3 - s**2 - 4*s - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 70*k**2 + 82*k**2 + 3*k - 2*k + 2 - 153*k**2. Give h(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from cklhkhnon?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-3*2*sqrt(112) + (sqrt(252) - -2*sqrt(252)) + sqrt(14)\/sqrt(2) + 0)*-3)**2 + 1.\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 67*n**2 + 83*n - 3796. What is v(-69)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-444)\/4995)\/(42\/378).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(108))**2 - sqrt(108) - ((sqrt(12)\/sqrt(4))**2 + 3)) + (sqrt(675) + 1)**2.\nAnswer: 12*sqrt(3) + 779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/728 - 5797\/19656. Let i = z - 49\/108. Which is the nearest to 0? (a) -0.2 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 5*y**2 + 4*y + 5. Let f be i(3). Let g = -121 + 115. Which is the nearest to -1\/2? (a) f (b) 1\/6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*l - 212, -10*l = -2*c - 5*l + 95. Calculate the smallest common multiple of 50 and c.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.131 - 30084\nAnswer: -30084.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 - v**2 - v. Let c be t(-1). Let w(b) = 2*b**3 - 3*b**2 + 2*b - 3. Let m be w(c). Solve 3*y - 3*q = -12, 0 = 5*y + m*q - 0*q - 30 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.11, 0 in decreasing order.\nAnswer: 2\/9, 0, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 689734?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -1696082.\nAnswer: 1865690.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmqmmtmmqmqtmmmttmmm. What is prob of sequence qqq?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 + 2243 - 759*n + 759*n as y*n**2 + x*n + i and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -130297*-5\nAnswer: 651485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - 3. Solve -3*k + s = -i, k + i = -0*k + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/2 + 19\/30. Let a = -32 + -33. Let z = a - -62. Put z, n, 0.5 in decreasing order.\nAnswer: 0.5, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1435 and 1540.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11234 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 67.2218 years?\nAnswer: 0.0672218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39ee1a2 - -1?\nAnswer: -39ee1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 4*m + 477*j - 472*j, -2*j - 62 = 5*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6064\/(-10))\/(172\/(-430)) + -3. What is the highest common factor of 85 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**2 - 39*j**2 - 28*j**2)*(-2*j**3 + j**2 - j**2 + 4*j**3 + 5*j**3 - 4*j**3 + (j**2 - 3*j + 3*j)*(0*j + 2*j + 0*j)).\nAnswer: -305*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 - -799. Suppose 4*k = -5*s + m, -3*k - 280 + 6 = -2*s. Let o = -75 + s. Round o to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnqncmmh. What is prob of sequence hqw?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.4, 10, -0.002, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44893.2 litres to millilitres.\nAnswer: 44893200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 948322459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -1 - 0 - -5) + -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Let k = 1 - 0.9. Let j be 3\/(-6)*(-4 + 2 + 3). What is the closest to 0 in k, j, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-2704)\/(-780))\/52)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2330 (base 7) to base 2.\nAnswer: -1101010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*b + 10, -3*q - 5*b - 2 = 7. Let a be (-2)\/q - 25\/(-60)*501. Suppose r - 153 = -4*v + 666, -4*r = -v + a. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*v**2 - v - 230*v**2 + v - 210*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 546472241?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddbdbadb. Give prob of sequence bdd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.179964 litres?\nAnswer: 7179.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*l*x**2*y - 3*d*l*x**2 + 6*d*l*x*y - 3*d*l*x - 3*d*l*y**2 - d*x**2*y**2 + d*x*y + 4*l*x**2 - 18*x**2*y**2 wrt y?\nAnswer: -6*d*l - 2*d*x**2 - 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -6. Let j = 12 + x. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -79*m**2 + 1777*m - 7115. Determine j(4).\nAnswer: -1271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*x - 4, -3*x - 10 = 22*b - 20*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1743, 1742, 1741, 1740, 1739?\n\"Answer: -q + 1744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/7 + 2697788*j\/7 - 2697784\/7.\nAnswer: -4*(j - 674446)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 7. Let z(v) = 3*v - 1. Let u be z(10). Let b = u - 24. Let f(s) = 6*s**2 - 22. Calculate b*f(x) - 16*l(x).\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 343447 rounded to the nearest one hundred?\nAnswer: 343400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 53) + (-10 - -18) - (3 + 7)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*r - 35, 3*j - 6*r = -5*r + 31. Let m be (2\/j)\/(9*(-3)\/234). Are -0.1 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - f = 0, -340*x + 173*x - 7*f + 2*f = -171*x - 76 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -4)*(-4 + (-12)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -40*y**2 + 230*y + 46. Calculate g(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85 - -74) + 6 + 31 + -7?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/20)\/7*272\/(-1088)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + -17. Let i = -20 - f. Let p = 19.135 - i. What is p rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22554*s + 11284*s + 11270*s - 5*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 9\/3081038?\nAnswer: 9\/3081038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((5 + (sqrt(68)\/(2*sqrt(4)))**2)*2 - ((sqrt(170)\/sqrt(5))\/sqrt(2) + (-3 + (sqrt(17) - (sqrt(17) + -4))**2 - sqrt(17)))).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 23) + 0 + 6\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*s - 2190 = 289*s for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 9. Suppose -18*n + 20*n + 14 = 3*a, -3*n - 20 = -5*a. Put -4, m, n, 4 in descending order.\nAnswer: 4, m, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 7 (c) -26.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 5*k - 4. Let g be p(7). Let f(u) = -u**2 + 4*u + 8. Let r be f(g). Let w = r + 58. Calculate the least common multiple of w and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + v - 25 = 0, 2*l - 5*v + 6 = 43. Let t(n) = n - 13. Calculate t(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1084 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-174744.\nAnswer: 349488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1886187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11562\/205 + -56)\/(8\/(-105)).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.298 <= 1.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -33. Let n(q) = q**3 + 11*q**2 - 2*q - 4. Let r be n(-11). Suppose 6 = -3*o + r, -2*l - 4*o + 20 = 0. Sort -40, i, l in ascending order.\nAnswer: -40, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17636911 to the power of 1\/2, to the nearest integer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 5:16 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555?\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjuj when four letters picked without replacement from {r: 3, u: 6, t: 4, j: 2, n: 3}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894 minus 1198926.7?\nAnswer: -1197032.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -806\/9*x - 2\/9*x**2 + 0 = 0. What is x?\nAnswer: -403, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 15. Let v be w(9). Let r be (6 + -8 - -5)*1\/(-4). Which is the nearest to -1? (a) -0.02 (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4623, 18592, 41875, 74472, 116383, 167608?\n\"Answer: 4657*x**2 - 2*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c - 41 + 6 - 42 + 11. What is the lowest common multiple of 12 and m(20)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163157 - -229898. List the prime factors of l.\nAnswer: 3, 22247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*u - 0 + 4, -d = u + 8. What is the units digit of ((-6)\/(-9))\/(u\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 0*n - 105. Let b be 78\/(-52)*(249\/(-3) + -3). What is the derivative of b - 58 - 60 - n*h wrt h?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6158*q - 6168*q - 6160*q + 18494*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.96738 centimeters to kilometers.\nAnswer: 0.0007996738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 35. Which is the second biggest value? (a) 1\/4 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v + 10. Calculate b(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*w + 65 - 25 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*g = 32 + 8, g + 13 = 2*r. Suppose j - 162 = -2*j + 2*q, -2*q - 214 = -r*j. Suppose -j = -4*v + 4. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 15*w - 25 = 10*w, 0 = 5*r + 2*w - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -39*q**3 - 359*q**2 - 42*q + 23. What is u(-9)?\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 2089.1, 0.9?\nAnswer: 2089.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h**2 + 4*h + 11. Let a(i) = -38*i**2 - 17*i - 42. Give 6*a(c) + 26*s(c).\nAnswer: 6*c**2 + 2*c + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Let k = o + -3. Suppose 15 + 10 = -5*d. Which is the closest to 0.1? (a) k (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*x - 810 = -786, -g + 11 = -x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 3*y**2 + 3*y + 6. Let z be u(-4). Suppose 30 - z = 5*q. Let c(m) = -m**2 + 3*m + 1. What is c(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 8*o - 8. Suppose -5*i = -49 - 101. Let g be ((-8)\/12)\/(4\/i). Let r be z(g). Let l(w) = w**3 - 6*w**2 - 10*w + 9. Determine l(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*f*v**3 - 288*f*v*w + 2*f*v + f*w - 3172*f + w - 4 with respect to v.\nAnswer: 180*f*v**2 - 288*f*w + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ninjnnnnbnnini. Give prob of picking 1 n, 1 j, and 1 b.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {l: 2, i: 1, m: 1, a: 1, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 156.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2672780 is divided by 445462.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16116*c**3 + 16114*c**3 - 19 - 34 + 61 - 8.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -110243?\nAnswer: 110242.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 13\/9, 0.5, 1\/4, 1171?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9128275584?\nAnswer: 2, 3, 4673, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n - 26*n - 6600. Does 7 divide (-1)\/((-3)\/(-6)) - (11 + n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158598277 is divided by 2020?\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + x. Let a(z) = -2*z**3 + 39*z**2 - 6*z. Calculate a(r) + 6*m(r).\nAnswer: -2*r**3 + 33*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 97*j**6\/15 - 3*j**5\/20 + 299*j**4\/4 - 1064*j. Find the third derivative of a(o) wrt o.\nAnswer: 4656*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 10*r. Suppose 3*m - 2*s - 12 = 0, -3*s = -0*s. Let p(x) = 3476 - m*x**2 - 6*x**2 - 3476. Give p(l(o)).\nAnswer: -1000*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s - 25*s = 450. Calculate the remainder when s is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 - 155*s**3 - 5360*s**2 - 5200*s.\nAnswer: 5*s*(s - 52)*(s + 1)*(s + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3717*i*t**3 + 282*i*t**2 + 2*i*t + 79*i + 2*t**4 - 2*t - 2554 wrt t?\nAnswer: 22302*i*t + 564*i + 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpfwyy. Give prob of picking 1 y and 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -128\/183 (b) -3 (c) -0.03 (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**4\/12 - m**3\/2 - m**2. Let b be x(-4). Let h = b - 7. Let p(s) = -2*s. Give p(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3094 + 760. List the prime factors of x.\nAnswer: 2, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 14*u**2 + 4*u + 1. Let g = 7 - 6. Let c be 2*g + -13 + 14. Is r(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1349755922?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2175 + 2175 - 2301990*j + 2301989*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 1 - 4. Suppose 4*s - 28 = 4*v, -2*s + 3 + 3 = 2*v. Which is bigger: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.2 + 3.2. What is the third biggest value in 4\/7, c, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 2)*(-1 + 1 - l) + 3*l + 0*l - 5*l + (2*l + 1 - 1)*(-1 + 5 - 1) + 2*l + 4 - 4 + (2 + 0 + 0)*(3 + l - 3) + 0*l + 2*l - 4*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*h + 22, 2*h + 2*h + 5*c - 32 = 0. Suppose 7*j - 5 = 2*j. Let q be j\/(-3) + 3\/9. Solve f + q*f - h = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14637 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 0, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-396)\/10)\/(30049\/755 + -41)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(12)\/sqrt(4)) + 3*1*sqrt(2))**2 + 2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.23 + -0.23. What is the closest to -0.1 in i, -0.5, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyjyjyyjyjyo.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3436157 is divided by 13065?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c9534 (base 16) to base 9.\nAnswer: 3464487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s - 8 = 0. Let v be s\/6*(-21)\/(-98). Let w = -4.5 - -4.6. Which is greater: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 145673 and -2.9.\nAnswer: -422451.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 1 = 0, 3*z - 3*f = 17 - 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -373534\/2167 + 1896\/11. Let q = o + 802\/1379. Find n such that 4\/7 - q*n**2 + 0*n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900.3488 years to months.\nAnswer: 10804.1856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352 + -0.12.\nAnswer: 351.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 418, 831, 1232, 1615, 1974, 2303, 2596, 2847?\nAnswer: 3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 257*n - 295031 - 4668469 = 0. Round n to the nearest one hundred.\nAnswer: -19900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50376 + 1405*c**3 + 25278 - 1407*c**3 + 25098.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 9*l**2 + 5*l + 2. Let g be a(10). Let s = g + -148. Solve -11 = s*c + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = h - 6073 + 6081, 12 = -4*m - 4*h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 26*m + 29. Let x be y(-25). Suppose -84 = -x*k - 0*k. Find the third derivative of k*h**6 + 28*h**2 + 30*h**6 - 45*h**6 wrt h.\nAnswer: 720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34026, 136118, 306274, 544494?\nAnswer: 850778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18212 is divided by 137.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 292 or -4106?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 182021278.3 rounded to the nearest 1000?\nAnswer: 182021000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**2 + f. Let l be v(-1). Suppose 0 = -4*g - g. Solve 25 = -l*x - g*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4775338 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 75\/27 + -3 - (-164)\/9. Suppose 5*u + 4*q = -f - 11, 2*q = -2. Let d = u + 9. Solve 2*z = -2 + d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-9))\/(2\/(-18)). Let u = f + 7. Suppose m + 78 = u*m. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -z**2 + 173*z + 380.\nAnswer: -2*z + 173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 60486, -80, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -33*j + 3 + 5 + 32*j. Let x be k(6). Which is greater: 0.06 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (781 + 200 + 814 + 1631)*(0 + 2*l + 0).\nAnswer: 6852*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 154*r**2 + 0*r + 0 + 2\/3*r**3 + 11\/4*r**5 + 17\/24*r**4. What is the second derivative of m(q) wrt q?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198707851?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3\/161, 2\/11, -3?\nAnswer: -3\/161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 377\/333 + -9\/37. Let b(u) be the third derivative of t*u**3 + 0*u - 1\/9*u**4 + 0 - 6*u**2 + 1\/180*u**5. Solve b(z) = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -87, -145, -227, -339, -487?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10411679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 25 = -4*m - 7, -2*y - m = -7. Factor 34*n + 20 + 0*n**3 - 12*n**2 + 16*n**2 + 12*n**y + 2*n**3.\nAnswer: 2*(n + 1)*(n + 2)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 32 (b) -0.5 (c) 21\/4 (d) 65 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5553863 millennia to months.\nAnswer: 6664.6356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(1\/26))\/s)**(4\/43))**(1\/22) assuming s is positive.\nAnswer: s**(-1\/6149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 11:27 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*g = -49, 3*j + 4*g = 23 + 8. Calculate the remainder when 23 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 - 69*j + 23. Calculate h(23).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 11*i + 1368 - 1368 to k + p*i**2 + l*i and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**2 - 8*v - 20. Let y be d(9). Suppose -c - 3*f = f - 76, -f = 5*c - y. What is the remainder when c is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvwlwwzwlll. Give prob of sequence vz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 + -5)\/(-3 + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 30 (c) 12 (d) 0.596 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) + (84\/18)\/1. What is the highest common divisor of 36 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 224*a**3*n**3 - 48*a**3*n - 10*a**3 - 4895*a**2*n**2 - 3*a**2*n - 2*a*n**3 + 25*a*n**2 - 1 wrt a?\nAnswer: 1344*n**3 - 288*n - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 890?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003891 rounded to seven dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-7)*q*q)*q*q**(5\/7)\/q*q)**(2\/41) assuming q is positive.\nAnswer: q**(108\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2 - 2 + 3*j**2. Let l(a) = a - 2*a + 10 - 10. Give l(h(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 1:33 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, c: 1, o: 1, j: 2, h: 4}. Give prob of sequence yjcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -2 (b) -4 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l = -20. Let d = l + 29. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23\/241, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-16)*8\/(-3). Let u(q) = -4*q**2 - 5*q - 5. Let p be u(x). Does 17 divide (-119)\/p - 3 - (-459)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3.0000128. Round k to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k - 1 + 1 - 1505*k. Let m be r(4). What is m rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 12 = -2*o. Suppose 2*c = -8 - o. Let i be (-29)\/(-28) + c\/21. What is the biggest value in -3, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20280 is divided by 550?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from {q: 1, w: 4, g: 2, s: 4, i: 2, z: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**6\/720 - u**5\/60 + 7*u**4\/12 - 8*u**2. Let w(l) be the second derivative of z(l). Give w(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/5 + 5 - (4 + -5 - 7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/(41\/(-2)). Let g be (-4846)\/328 + (-9 - 96\/(-8)). Let f = m + g. What is the common denominator of 13\/18 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d + 490*d - 7591 = -12626 - 14573 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1973 - 2012. Is 50 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 2. Let i be j(-3). Put 3, 1, i in decreasing order.\nAnswer: 3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 2. Is z a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85854*a = -86125*a + 13008 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13 - 28 + 125*y - 116*y. Let u be f(5). Let p be (4\/10)\/((-14)\/10). Which is the smallest value? (a) -4 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36e (base 15) in base 5?\nAnswer: 11104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.52229 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 50 = 7*x - 2*x, 3*x + 3*i = 0. Suppose 3*z = x*z. What is the third biggest value in -2\/9, 2, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 25 - 7. Let i be 441*((-6)\/b)\/(-1). Suppose -5*c + 749 = -s, 2*c - s + i = 4*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n + 29. Let k(x) = 1. Let g(b) = 3*k(b) - s(b). What is the remainder when 99 is divided by g(17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1496930 and 4280.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -837 + 2513\/3. Let g = -0.02 - -7.02. Let j = g - 12. Which is the second biggest value? (a) -2\/15 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 21 + 215. Let l = c + 360. What is the greatest common factor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 13224*z. Let m(a) = 1082*a. Give m(x(h)).\nAnswer: 14308368*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*y - 88*y + 207*y - 284394. Does 139 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -627355001 and 0.12146.\nAnswer: -627355000.87854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 110*k + 18. Let t be d(-7). Let h = -355 - t. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*r + 48, 3*r - 372 = 5*x - 154. Let d be -63*(x\/3 - 3). Is 20 a factor of d\/18 + (-2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u**3 + u**2 + u + 1. Suppose -y + 3 = 2*y. Let c be 27\/45 - ((-404)\/10 - y). Let v = c + -43. Determine z(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*a**2*y**2 - a**2*y + 2*a**2 - 452*a*y**2 - 423*a*y + 10*y**2 - 15*y wrt y?\nAnswer: 22*a**2 - 904*a + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -29*h + 231. Suppose -5*f + h*i - 12*i = -815, 4*f - 616 = 5*i. List the prime factors of f.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -136*a**3 - 5*a**2 - 17*a - 9. Is 7 a factor of b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + 23252\/10 - (-19)\/(-95)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16.83 or -0.0532?\nAnswer: -0.0532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.28282 minus 8048701?\nAnswer: -8048699.71718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((-3*sqrt(52) - sqrt(52)) + sqrt(52))*6)\/sqrt(4) + -2)*1.\nAnswer: 12 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*sqrt(84)\/sqrt(6))\/(sqrt(14)\/(sqrt(21)\/sqrt(3))).\nAnswer: -3*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 183, 930, 1665, 2382, 3075, 3738, 4365, 4950?\n\"Answer: -g**3 + 754*g - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**4\/12 + 6*h. Suppose j - 7 = -2*j - 2*u, 5*u + 35 = 3*j. Let w(i) = -j + i**2 + 5. Give s(w(c)).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 6) to base 7.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80\/819 + -60920\/819. Let k = -105 + 31. Let n = k - o. What is the biggest value in n, 0.1, -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 20 = -k + 4*r, -2*k - 3*r + 20 = 0. List the prime factors of (-7832)\/(-55)*10\/k.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*c + 120. Let l = c - -79. Calculate the highest common factor of 33 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.018 take away 0.2?\nAnswer: 25.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a factor of 19627043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5169990503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-35 - -12) - -18 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 1. Let i(o) = -o**2 + 442*o - 2336. Let t(a) = i(a) + 3*k(a). Differentiate t(d) wrt d.\nAnswer: 10*d + 442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -83890, -336607, -757796, -1347451, -2105566, -3032135, -4127152?\n\"Answer: m**3 - 84242*m**2 + 2*m + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 12 - (1 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106.6 or 1\/31?\nAnswer: -106.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 16 = 3*g. Let x(u) = -u**2 + 5*u - 2. Let b be x(g). Suppose 12 = i + 5*t, -b*i = -6*i - t + 10. Is i at most as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445800 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46642*n**2 + 401*n**5 - 46642*n**2)*(-4 + 1 + 2)*(-3 + 5 - 3).\nAnswer: 401*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 3, q: 1, x: 7}. What is prob of sequence gx?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 250*r + 136*r - 126*r to z + m*r and give m.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/14*10\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10202211232 + 13?\nAnswer: -10202211213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -144 - -126. Let l be ((-3)\/(-9))\/(53\/d + 3). Are 66\/13 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 5. Let m = 8 - 33\/4. Suppose -a + 1 + 0 = 0. What is the nearest to j in a, 0.5, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*r - 17, 4*h + 0*r + 3*r - 13 = 0. Solve -12*q**3 - 88*q + 96*q + h*q**4 - 4*q**2 + 3*q**5 + q**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 - 2134?\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2717 - -918. What is the hundreds digit of 3\/6 - f\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 317980275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3345 (base 11) to base 10.\nAnswer: 4405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5309457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -30*f + 2. Let t(o) = -14*o + 1. Let y(x) = -6*h(x) + 13*t(x). Determine y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-13\/3))\/j)\/j**(-16))\/(j\/(j*j**0))**(-45) assuming j is positive.\nAnswer: j**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1570, -12 in descending order.\nAnswer: 1570, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.971 - 0.029. Let j(d) = -d**3 - 8*d**2 - 8*d - 5. Let p be j(-7). Sort 4\/9, n, p in decreasing order.\nAnswer: p, 4\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -16, -31, -44, -55, -64, -71?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w + v = 6, 3*w - 4*v = 31. Let x(r) = 3*r - 8. Let s(g) = -2*g + 5. Let i(l) = w*x(l) + 8*s(l). Let h(f) = 2*f**2 - 30*f. What is i(h(n))?\nAnswer: -2*n**2 + 30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 144 = -0*g. Suppose b = -7*f + 3*f + g, 0 = b. Calculate the highest common divisor of 27 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 93*q**2 - 15661*q + 102. What is p(-180)?\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 9\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 171 + 37)*(27*h**2 + 1 - 1).\nAnswer: 4266*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 56*a**3 + a - 1. Suppose 0 = -2*k - 3*k + 5. What is the remainder when y(k) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 2029867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/7)*u*u*u*u**(1\/18) assuming u is positive.\nAnswer: u**(439\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*b + 6*b. Let k be b\/6 - 2\/(-1). Which is smaller: k or -2\/157?\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23 + 12)*-1*1. Let c = -9 + k. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 5. Let m be k(3). Suppose a + 261 = m*u, -4*u - 5*a + 85 + 170 = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/2*1)\/(-1). Let w be (3\/18)\/((-15)\/c). Let g = w - -2\/9. What is the nearest to g in 1, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006102 rounded to five dps?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1379*d**2 + 1296*d**2 - 4*d + 2*d in the form y + v*d + j*d**2 and give j.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 6. Suppose 0 = 3*g - 9, 0 = q - 0*g - g - 28. Let y = q + -22. Let v(f) = -5*f - 13. Let c be 2*(-6)\/(-9)*3. Determine c*v(l) + y*r(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 7, 0.1, -0.001, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/80 (b) 33 (c) -0.3 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6320032 (base 8) to base 15\nAnswer: 2328e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -3 (c) -3\/5 (d) -2\/15 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/10*(-1 + -1). Let y(h) = h. Let o(n) = -3*n - 1. Give z*y(w) + 2*o(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:24 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**4 - q**4 + 2*q**4 + (2 - 3 + 0)*((-2*q**2 + 2*q**2 + 3*q**3)*(-2*q - q - 3*q) + 5*q**4 + 0*q**4 - q**4).\nAnswer: 11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6*h = 3*b - 19, -23 = -4*h - b. Suppose 21*f = 22*f + h. Let n = 9 - 10. What is the third smallest value in f, -1\/3, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 387 + -255. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22185700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8 plus 0.0936785079205?\nAnswer: -4.7063214920795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -717\/16, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17503 - -13002.86637.\nAnswer: -4500.13363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 682690*q**2 - 2. Let g(b) = -2*b. What is l(g(h))?\nAnswer: 2730760*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848 - 19*w + 869 - 23*w + 49*w.\nAnswer: 7*w + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38.1 - 38.0999241. What is f rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155243258720 + -2?\nAnswer: 155243258718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3504 = 6*k. Is 42 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127*j**3 + 40*j**3 + 396*j - 6*j**4 + 0 - 394*j - 1 to the form b*j**4 + m + o*j**3 + s*j**2 + y*j and give o.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007572214 rounded to six decimal places?\nAnswer: 0.000757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 27*f**2 + 27*f + 30. Let a be o(28). Suppose -7*l = a*l - 441. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1. Let g = v - -2. Solve g = -2*s - s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 565226, 0 in descending order.\nAnswer: 565226, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n**3 - 4*n**2 + 3*n - 2. Let v be z(2). Let w be v\/4 + -4 + 3. What is the derivative of 13 - 11 - 4 + w*f**2 - 9 wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -446*((-165)\/(-22))\/(-1) and 3?\nAnswer: 3345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 8*g**2 - 5*g - 11. Let m be b(-7). Let h = 28 + m. Let j = -5 - 0. Put h, 1, j in decreasing order.\nAnswer: h, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 931655 to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4891535 to the power of 1\/2, to the nearest integer?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9}. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 17*s - 969. What is t(57)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -61. Let k = -15 + o. What is the lowest common multiple of k and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2263802 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a + 41 = 4*b, -b - 2*a = 6. Suppose -3*f - 4*w = -5*f + 1542, 0 = w - b. Let o = f + -552. What are the prime factors of o?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*i + 15. Let n = -24 - -27. Solve -4*a - 3 + 10 = n*d, -4*d + i = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*t**2 - 178 + t - 192 + t - 16*t**2 + 360 to the form q + g*t**2 + p*t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 4\/3*d**3 - 3*d**2 + 7*d + 0. Let a(q) = 8*q + 6 - 1 - 15*q + 0. Calculate -7*a(p) - 6*m(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45078*a + 592 - 90142*a + 45079*a)*(-5*a - a + 3*a) to the form c + d*a**2 + s*a and give d.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 201*t + 1789*t - 93530 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -100*g**2 - g - 1. Let l be k(1). Let t = l - -170. Calculate the remainder when t is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -49*s**2 - 1 + s**3 + s + 17*s**2 + 15*s**2 + 18*s**2. Give n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1032904 is divided by 1032902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 110 - 192*j - 18*j**2 - 26 - 2*j**3 + 300*j - 80.\nAnswer: (j - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67 and 871.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 50*s - 353. Let o(u) = -27*u + 176. Let f(x) = 6*i(x) + 10*o(x). Let t be f(12). Solve -2*k - j - 5 = 0, 0*k - t*j - 8 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20b30 (base 12) in base 14?\nAnswer: 119c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*b - 12634, 0 = -5*b + 29 - 9. What are the prime factors of k?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l - 849 = 44*l. Let o = l - -287. Sort -2, 0, -4, o in ascending order.\nAnswer: -4, -2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5*7\/42.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**5\/60 - w**4\/3 - 5*w**3\/6 + 4*w**2. Let t be a(-7). Sort t, 0, 3 in decreasing order.\nAnswer: 3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**7\/252 + j**6\/360 + j**5\/72 - j**4\/72 - 6*j**2. Factor a(i).\nAnswer: -i*(i - 1)*(i + 1)*(5*i - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3923, 3929, 3947, 3983, 4043?\nAnswer: 4133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p*p**1)\/p)\/p*p**(-5))\/(p**(-2))**43)**(-13) assuming p is positive.\nAnswer: p**(-1066)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 0*d + d)*(-3 + 3 + 2 + (-10 + 4 - 1)*(466 + 488 - 541)) as b + j*d and give j.\nAnswer: -2889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -158*v**3 - 5*v - 3. Let s(f) = 158*f**3 - f**2 + 6*f + 4. Let h(l) = 4*p(l) + 3*s(l). What is the hundreds digit of h(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -256.256031741 - -0.052065741. Let i = g + 256.2. Round i to four dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/5))\/l)**(6\/17)*l**(1\/9)\/(l*l**(-1\/15)*l) assuming l is positive.\nAnswer: l**(-1286\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42.79 + -41.79. Which is the closest to -10? (a) -3 (b) s (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 9:09 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 647501\/5787 - 5\/(-45) - (-6 + -2).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmym. What is prob of picking 3 m?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3699799 = 8*k - 3699407 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, 20, -5635?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, q: 5}. What is prob of picking 4 q?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 21860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 7. Let q be g(-6). Let x(p) = -6*p**3 + p**2 - 1. Let n be x(q). Solve 0 = -n*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5*l - 7*l + 2*l - 3*l + 3*l**3 + 0*l in the form v + u*l + g*l**2 + j*l**3 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 36*p + 101. Let f be t(33). Solve 4 = 4*u - l, f*u + 8*l - 8 = 7*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179444?\nAnswer: 2, 113, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594964 is divided by 99156.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8595574 millennia in months?\nAnswer: 10314.6888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(77) + sqrt(77))*3*4)\/(sqrt(7) - sqrt(35)\/(sqrt(20)\/sqrt(4)) - sqrt(7)*1*-3).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23 - 6?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-2)\/3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1. Let k(x) = -2*x**2 + 47*x - 27. Let v be k(23). Sort v, b, 1 in ascending order.\nAnswer: v, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2943285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1104 + 4db5a?\nAnswer: 4ca56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzznzdznznzkzzzkzddz. What is prob of picking 3 z?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 98 - 14 = 0. Let x = -66 + l. Let o be 10\/24 - (-6)\/x. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = -5*j, 5 = 5*c - 5. Suppose -2*u = -j*u, 30 = 5*o + 3*u. Suppose -o*q + 595 = -q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6825)\/1050 + 67\/2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/14 + 272\/(-595).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1793997 is divided by 11574?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85 - -2)*(-3)\/(-51) - -5.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3 + 7. Let m = -3 - -5. Suppose -5*y - m*r = 0, 19 = -y + 4*y + 5*r. Which is the third biggest value? (a) z (b) y (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 39*h - 9. Let v(w) = -350*w + 78. What is -52*f(r) - 6*v(r)?\nAnswer: 72*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19972512013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 10:07 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -35, -37, -39, -41, -43, -45?\n\"Answer: -2*y - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79574 is divided by 203.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -5*x. Suppose -x*o - 18 = o. Let r(h) = h**3 + 8*h**2 + 8*h + 9. Let p be r(o). Calculate the highest common divisor of 22 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y**2 - 19*y - 12. Does 14 divide d(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -63*f**3 + 12*f**2 - 6*f - 1. Does 28 divide d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/15, 4, 1, -5 in increasing order.\nAnswer: -5, -16\/15, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 5 (b) -0.06 (c) 4\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1181, 2269, 3301, 4271, 5173, 6001, 6749, 7411?\n\"Answer: -m**3 - 22*m**2 + 1161*m + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-29\/4)\/c*c*c*c**1*c assuming c is positive.\nAnswer: c**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*o - 16 - 44 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 244800008\/36 + 4\/(-18). Suppose -8*t - d = -9*t. What is t rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4050 and 300.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d + 10. Suppose 9*x - 12*x = 12. Let k be g(x). Let l = k + -11. What is the remainder when 28 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 43\/2*u - 1\/2*u**2 = 0. Calculate u.\nAnswer: -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 0 + (-1196)\/28. Let l = -44 - y. What is the closest to 1 in l, -0.1, 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*b + 30 + 26 - 54)*((-3 + 3 - b)*(b**2 + 2*b**2 - b**2) - 56*b**3 + 97*b**3 + 34*b**3) to the form q*b + f*b**2 + z*b**4 + o*b**3 + a and give z.\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuvuuuvu. Give prob of sequence uuuu.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 247433*m - 2. Let r(t) = 3*t**2. Determine x(r(n)).\nAnswer: 9*n**4 - 742299*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.3 + -7. Let h = -523 + 495. Let x = h + 23. Which is the second smallest value? (a) x (b) -0.2 (c) f (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*d**2*j + 220*d**2 - 201*d*j - 16*d wrt d.\nAnswer: 68*j + 440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-13)*(-1430)\/(-110)*77?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-18))\/((874\/(-228))\/(-23)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5 = -5*a + 11, 5*p = 3*a. Suppose -x - p*y = -8564, -2*x + 3*y + 3862 = -13257. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3630 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 250.4 - 250. Let u = 4 + -10. Let d = -9 - u. What is the closest to -2\/7 in h, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 3*y - 1, -3*y = -5*m - 5*y - 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -384\/77 - -58\/11. Let t be 6\/68*40\/(-30). What is the closest to r in 2, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 401809871 and 2.\nAnswer: 803619742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 21 = -5*g, 4*i + 2*g = 2. Suppose -3 = -i*v + 3. Suppose y = v - 1. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(4 + (-5)\/(420\/344)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 727 - 707. Sort 6, -14, t in descending order.\nAnswer: 6, t, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -38. Solve -4*n = -g*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039 is divided by 51?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 36. Calculate the remainder when 63 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 103145 - -8?\nAnswer: 103152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 798 divided by -42.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 89633 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 2675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -281, -618, -1087?\nAnswer: -1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 602 * -5.\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2b20 (base 14) to base 2\nAnswer: 1110111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)\/q)**(17\/6)\/(q*q**(-2\/5))**29 assuming q is positive.\nAnswer: q**(-191\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 4 - ((1 - 4) + 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11489738?\nAnswer: 2, 13, 441913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 3\/8, 2.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + y = -140, -4*h - 5*y + 280 = -3*y. What is the derivative of -51 + 73*l**2 - 143*l**2 + 58*l**3 + h*l**2 wrt l?\nAnswer: 174*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/48*2 - -3651*2\/24. Calculate the greatest common factor of s and 45600.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9579.\nAnswer: 3, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 - 13*f**4 + 3*f**4 + 2*f**2 - f**4 - 2*f**2 + (-4 - 2*f**2 + 4)*(0 + 2*f**2 + 0) + 2*f - f**4 - 2*f.\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8690 + -1990. What are the prime factors of a?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + x + 156, -5*c + 2*x - 30 = -798. What is the highest common factor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.22 + 0.02. Let u = -169\/72 - -17\/8. Let j = -16\/3 + 6. What is the biggest value in j, g, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4ab (base 15) in base 5?\nAnswer: 13221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -13707*b + 48. Let k(a) = 6858*a - 19. What is 5*k(t) + 2*s(t)?\nAnswer: 6876*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 4*q + 11. Let n(b) = 6*b**2 - 23*b + 74. Give 34*h(l) - 6*n(l).\nAnswer: -2*l**2 + 2*l - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-25\/2)*y\/(y**(7\/11)\/y)*y**(-1\/45)*y**(-2\/47))**(12\/13) assuming y is positive.\nAnswer: y**(-1042378\/100815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -281 + 607. Let w = v + -319. Solve -w*c + 3*c = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-28) - 46\/8. Let k be (2\/12)\/((-3)\/v). What is the smallest value in -3, k, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1050 or -1049?\nAnswer: -1050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 427727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 202608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127762141?\nAnswer: 13, 58153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41237839.\nAnswer: 647, 63737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -733 at least -48473\/66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.1511 millilitres in litres?\nAnswer: 0.0671511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/23, -5, -4\/5, 2\/3.\nAnswer: -5, -4\/5, -0.4, 2\/23, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32505 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 - 147. Let y = -41 - b. Solve -y*q - 4*f - 11 = -34, 0 = -q + 3*f - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 11:32 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u. Let d(x) = -17 + x + 17. Let v(t) = -12*d(t) - s(t). Let c(a) = 0*a - 6*a + 4*a. What is v(c(k))?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 624, 618, 626, 654, 708, 794, 918?\n\"Answer: p**3 + p**2 - 16*p + 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, -3, 2\/7, -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 2 + 1\/2*p**3 - 19*p**2 + 0*p + 1\/60*p**5 - 1\/3*p**4. Calculate s(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(1 + 5) - -7)*(-416)\/(-260)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1971\/286, 1\/2, 140 in ascending order.\nAnswer: 1\/2, 1971\/286, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**2 - p**3 - p - 3 + 1 - 5. Let g be q(-5). What are the prime factors of (-5 - (g + 0)) + 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*j = 6, 15 = -3*i - 0*i - 3*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 5*i - i)*(4*i**2 + 2*i**2 - 5*i**2) + (5 - 5 - 2*i**2)*(-i - 2*i + 2*i) - 3*i**3 + 5*i**3 + 7*i**3.\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 819 divided by 6?\nAnswer: 273\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/9680 and -47\/220.\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34445 is divided by 5480.\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -68 + -4 + 32?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p - p - q, 3*p = -q - 1. Sort p, 0, 7, -3.\nAnswer: -3, 0, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v + 33. What is n(5)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (3*sqrt(3) + 5) - (sqrt(66)\/sqrt(2))\/sqrt(11))**2.\nAnswer: 30*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2886431920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1298ab537 + 4?\nAnswer: 1298ab53b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 9*r = -36. What is the remainder when 51 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18040.841 to the nearest one hundred.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 - 4*y**2 - 5*y. Let l(t) = 8*t**2 + 10*t + 0 + 2 - 3 + 5*t**3. Let g(o) = 7*b(o) + 4*l(o). Let z = 9 - 4. What is g(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8800 and 6424.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r. Let l be c(1). Let q be (-1)\/(2 + (-10)\/6). Let b = 2 + q. What is the closest to b in l, -2, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**4\/4 + 17*a**3\/3 - 26*a**2 - 4*a - 5760. What is q(13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3 - 4711*o**2 - 4712*o = 0 for o.\nAnswer: -1, 0, 4712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -277 - -279. Suppose 0 = -4*u - 2*r + 128 - 32, -u + s*r = -29. What is the highest common divisor of 625 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0, 3, 81, -29398 in descending order.\nAnswer: 81, 3, 0, -2\/9, -29398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -1\/3*i**3 + 8*i + 3*i**2 - 50. Let t(j) = -j**2 + 13*j - 16. Let v be t(11). Give l(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 3*h**2 + 2. Let f be w(-2). Let l = -3.16 + 4.4. Let u = -0.24 + l. Which is the nearest to 3? (a) u (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by (-525)\/(-4) - (-5 + 5\/20 + 5)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 360059 + 17?\nAnswer: 360076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21033103 - -2230113?\nAnswer: -12202330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 2379?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15449 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(150) + (sqrt(6) - sqrt(54))*3)\/(sqrt(432) - 5*sqrt(432)*1).\nAnswer: 11*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**4\/12 - 5*o**3\/6 + 2*o**2 - 7*o. Determine c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.95 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/90 and -131\/4878.\nAnswer: 24390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -52 - 168. What are the prime factors of f?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4.46, -0.5, -4\/3?\nAnswer: -4.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 249*a**3 + 2*a**2 - 35*a + 106. What is the ten thousands digit of p(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p + 21*p - 3515. Suppose -5*b = -10, -2*l - 2*b = 2*b - 192. Let u = p - l. Solve u*x = 6*x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1027*l - 112*l + 573*l - 231*l to the form v*l + n and give v.\nAnswer: 1257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454546.\nAnswer: 2, 17, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 29869, 3 in increasing order.\nAnswer: -3, 3, 29869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11*a. Let h be n(-2). What is the units digit of (33\/h)\/((-3)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-3464)\/2)*(17 - 16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359739320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169\/2 + -83. Let n(g) be the first derivative of -1 + 1\/2*g + 1\/5*g**5 + x*g**3 + 7\/8*g**4 + 5\/4*g**2. Factor n(p).\nAnswer: (p + 1)**3*(2*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2*2\/(-4))\/(6861\/27444).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34826?\nAnswer: 2, 11, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-48)\/(-20))\/((-1)\/(-30))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 4, y: 1, u: 1, e: 2, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + -101 + 49 + 45.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/(-2)*14\/(-7)*6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*20\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*x = -17563, 10537 = 3*t - 29*x + 28*x. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 5*u - 13. Let i(x) = x**3 + 3*x - 7. Let h be i(0). Let a be w(h). Is 1\/7 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.2 + 4.7. Let s = -263 - -261. Sort s, 3\/4, o, 5 in descending order.\nAnswer: 5, 3\/4, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16326 + 5?\nAnswer: 16330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 15*b**2 + 13*b + 16. Let n be c(14). Let r(a) be the first derivative of 0*a - 2 + a**n + 1\/3*a**3. Find the second derivative of r(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100 - (110 - 83) - -106?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three quarters of a century?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -11. Suppose 0 = -3*j + f - b*f, 4*f - 10 = j. Is ((-5)\/j)\/(7\/42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/165?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -52.867731 - 5063\nAnswer: -5115.867731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -5\/4, -0.1, 0?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 11*t**2 + 9*t - 2. Determine j(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 188, 186, 182?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/32)\/((-2184)\/(-5824)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 6*x + 56. Let n be (-77)\/x + (-6)\/(-2). Which is the third smallest value? (a) 0.3 (b) n (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**3 - 5*k**2 - 8*k + 2. Let t(u) = -3*u**3 + 5*u**2 + 7*u - 2. Let b(d) = 5*t(d) + 4*z(d). Give b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(36) + sqrt(36))\/sqrt(3))\/(sqrt(4) - (sqrt(64) + sqrt(64) + sqrt(64)*1) - sqrt(4)) - -6*1*(sqrt(48) + -3))**2*6.\nAnswer: -5184*sqrt(3) + 12312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9 + (-16151)\/(-269173)*(-17)\/((-85)\/750). Is g != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136 by 5.\nAnswer: 136\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imo when three letters picked without replacement from {i: 3, m: 2, o: 2, x: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/135 and -127\/121632?\nAnswer: 5473440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 4. Let t(d) be the third derivative of d**4\/24 + d**3\/3 + 3*d**2. Let b be t(-6). Let g(v) = 6*v + 11. Calculate b*g(c) + 11*n(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2949 - 2944. Let m(g) be the first derivative of 4*g - 21\/5*g**c + 0*g**3 + 0*g**2 + 23 + 0*g**4. Differentiate m(w) wrt w.\nAnswer: -84*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8275\/(-1050) + 8)*-2.\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3892, 15574, 35090, 62482, 97792, 141062?\nAnswer: 192334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1088*m - 9786. What is c(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/13, -9, 4, -1\/3, 8 in decreasing order.\nAnswer: 8, 4, -3\/13, -1\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.146 * 2.25\nAnswer: -0.3285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*r**5 + 21*r**4*u + 54*r**3*u - 4*r**2*u + 81*r**2 - 45*r*u wrt r?\nAnswer: -1440*r**2 + 504*r*u + 324*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -3)\/((-2)\/(-26)). Suppose -4*x = c + 50, -c - 32 = 2*x - 4*x. Let b = s - c. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5}. Give prob of sequence vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + n = 3350, 18*i + 2*n - 3348 = 14*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2550 + 40?\nAnswer: -2510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 98843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1929 divide 404806437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6528 + 2083228375.\nAnswer: 2083234903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 305.7223 + -0.5\nAnswer: 305.2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 7586 = 6*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1. Let m(x) = x**2 - 1. Let g(i) = 3*j(i) - m(i). Let a be g(3). Let n(y) = -y - 1. Is n(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7169953?\nAnswer: 7, 181, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/36*(-5)\/(5\/8).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(98)*2 + 1.\nAnswer: 5 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-9)\/o*o))\/(o*o**(1\/7)))\/((o\/o**5)\/(o\/(o\/o**(-2\/27)))) assuming o is positive.\nAnswer: o**(2416\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - (0 + -1 - 7)) + 9\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -250378 - -1752648\/7. Determine m so that 6534\/7*m + 198\/7*m**2 + z*m**3 + 71874\/7 = 0.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5108047 and 55.\nAnswer: 5108102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145749*r**4 + 986*r**2 - 274*r?\nAnswer: 3497976*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.014 + 76.714. Let a = t - 76.7000076. What is a rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173952 is divided by 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8043192 and 49680.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 11*y - 121. What is i(17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4840850 by -2420425.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -116073 + -4?\nAnswer: -116077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + 234. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:10 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2. Let m be 0\/(-4) - 1 - (-10)\/2. Let j(t) = 6*t - t + m*t. What is z(j(u))?\nAnswer: 81*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-210))\/((-2)\/5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 30143845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - p. Let c(z) = 104*z**3 - 2*z**2 + 7*z + 2. What is -c(i) - 6*n(i)?\nAnswer: -92*i**3 + 2*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3*88\/126 + (-5 - 0)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) -1 (b) 0.5 (c) -0.5 (d) 2\/11 (e) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1798 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5 (b) -2 (c) 39 (d) 0.04 (e) 2 (f) -6.8 (g) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97929674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-18)*(-255)\/(-850).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(14\/(-35)*(-45)\/(-9))*(-12)\/(-66)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12624 and 1222424.\nAnswer: 7334544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.14 and -1882395614.\nAnswer: -1882395607.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-28)\/(-15) - -5*1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2657.\nAnswer: 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -0.5, -32587, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.4 - 4.8. Let o = -0.4 - f. Let i = 1 + o. Put 0.3, i, -0.1 in increasing order.\nAnswer: -0.1, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -4*h - 0*h, -5*h - 6 = -5*x - h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/2 + 5549*w**2 - 11100*w.\nAnswer: w*(w - 2)*(w + 11100)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -46*o**3 + 93*o**2 - 26*o + 50. Let m be v(2). Let b be (-74)\/(-14) + (-2)\/7. Solve -3*p = -m*p - b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5203323 is divided by 1639.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 a when four letters picked without replacement from {b: 13, a: 5}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -36*b**2 - 10*b + 50. Let j(z) = 25*z**2 + 7*z - 35. Give -5*c(g) - 7*j(g).\nAnswer: 5*g**2 + g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (9 - 13) - -9. Solve -9*n + u*n = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 6:44 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18530187 by -1425399.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let t(r) = v + 3*r - 2. Let c(h) = -2*h**2 - 2*h + 2*h + 0*h. What is c(t(a))?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 246 - 58. Let a = 48 - q. Is (-3 - -4 - a) + 209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-590)\/(-7) - 2\/7. Calculate the highest common factor of 21 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 112 - 106. Suppose 1 = -k - 4*q, 4*k = -q - a*q + 20. Let w = k - -13. What is the remainder when 34 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1))**(1\/3))**(16\/9) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11164 is divided by 11128.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 119710 and 0.04 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(1\/39)*z**1*z*z**5)\/((z*z**(8\/3))\/(z*z**(-2\/41)))**(-5) assuming z is positive.\nAnswer: z**(10995\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 10:39 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6885785 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3625*a + 366071. What is h(-101)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/3 + 171*u**2 - 2039*u\/3 + 509 = 0 for u.\nAnswer: 1, 3, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 + (99 - -46) - (-1 + -1 + 0).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -49*j**2 - j - 599. Let g(q) = -20*q**2 - q - 303. Calculate 5*g(n) - 2*x(n).\nAnswer: -2*n**2 - 3*n - 317","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*k - 94*k = 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r - 7. Suppose 2*w + 2 = -8. Let p = -1 + w. Let v(o) = -3*o - 6. Determine p*b(m) + 7*v(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*y**2 - 84*y**4 - 3*y**6 + 5*y**2 + 86*y**4 + 0*y - 5*y wrt y?\nAnswer: -360*y**3 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41020 is divided by 1380.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12 - (2 + -2))\/(-1). What is the second derivative of 13*o - y*o**2 - 8*o - 14*o wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (121\/(-22) - -8)\/(1\/2). What is the second derivative of 2*v - 437*v**5 + 307*v**5 - 2 + 220*v**g wrt v?\nAnswer: 1800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3 = j, -v + 2*v + 3*j + 2 = 0. Let a(w) = 5*w**2 - w. Let x be a(v). Solve -3*s = -2*d - 16, x*d + 7 = -4*s - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = -21 - 39 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2 + 2*u**2 - u**2. Let h(b) be the first derivative of 0*b**2 + 0*b + 3 + 2\/3*b**3. Determine h(i(j)).\nAnswer: 72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/208134541?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 211 and 13139603?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 10:41 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 178\/3. Let a = 220.7 + -221. Put a, m, 4 in descending order.\nAnswer: 4, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 11 (c) 0.08 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614*n - 7582 = 580*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v = 42 + 54. Let z(g) = 2*g - 4. Let j(a) = -3*a + 5. Calculate v*z(b) + 3*j(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/((-4335)\/(-34))*(-10)\/24.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190090 is divided by 7919.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2184 + -2187.158. What is j rounded to one decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -26. Let c be 6 + (128\/(-60))\/((-2)\/(-5)). Are i and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3*(-1 + sqrt(245)) - (sqrt(245) + 2 + 1*sqrt(245)) - (1 + sqrt(245) + 1 + -1)) + -5)**2 + 5.\nAnswer: 420*sqrt(5) + 8852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b**4\/11 + 28*b**3\/11 + 208*b**2\/11 + 228*b\/11 + 54\/11 = 0 for b.\nAnswer: -3, -1, -1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -956 (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18328.812 + 18300. Round g to zero decimal places.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -5. Let x = -5 + 3. Put x, 4, t in descending order.\nAnswer: 4, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-6))\/((-2)\/(-6)). Let x = -379 + 450. Suppose x*q = 81*q - 170. Solve 2*g + 10 = 0, -o + 5*g = -k - q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 + -71. What is the smallest common multiple of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*((sqrt(200) - sqrt(200)*1 - sqrt(200))*-2)\/sqrt(4))**2*3.\nAnswer: 153600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5066447 (base 9) to base 13.\nAnswer: 737713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2401)*2)\/((-2*sqrt(7) + sqrt(7))*-2 - sqrt(70)\/(sqrt(10) + sqrt(50)\/sqrt(5))).\nAnswer: -56*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1403, 1404, 1397, 1376, 1335, 1268, 1169?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 7*y**2 + 7*y - 6. Let c be 1\/2*4 - 10. Let o be h(c). What is the remainder when (-26)\/(-4) - o\/(-4) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.04 (b) 1\/5 (c) 1\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*a - 4 = -310*a, 5*a + 2*a = z + 4*a + 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k - 1. Let x(b) = -3*b. Let c(n) = n. Let d(f) = -2*c(f) - x(f). What is -22*d(w) + 6*o(w)?\nAnswer: 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 60\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 123234 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 11 = -5*z, p = -2*z + 83 - 78. Let c(q) be the first derivative of -22 + 3*q**z - 2*q - 1\/3*q**3. Determine c(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(((-40)\/(-50))\/4). Let l(i) be the second derivative of 5*i - 1\/3*i**3 + r*i**2 + 0. Differentiate l(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - ((-29 - -47) + -2 + 0) - -84.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 + -181. Put 10, d, 2 in ascending order.\nAnswer: d, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 - 31*c + 330. Give l(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 266303253 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 + 6 - 3*g + 4*g**2 - 6*g**2 + g**3. Let t(w) = 2*w**2 + 10*w - 3. What is the remainder when h(4) is divided by t(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23236.6 - -23237. Which is the second smallest value? (a) r (b) 404 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.33851394 to three decimal places.\nAnswer: -0.339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -4*c + y + 119994995, -23999015 = c - 3*y. What is c rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 26 - (3 + -2 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/((-63)\/36)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 591250505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 1 - (-1 + 1). Let w = -3 + 6. Suppose -2*v = 4*y + w*v - 11, 3*y - 3*v = 15. Solve c = y*p - 11 - 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 216872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 43*x**2 - x - 75. Determine z(-43).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17212864*b**2*i**3 + 2*i**3 + i**2 - 5*i - 39286 wrt b?\nAnswer: -34425728*b*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {u: 11, q: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*y + 13 = 0, 0*y + 8 = -4*y. Let m(t) = 2*t**3 - 6*t**2 - 11*t - 1. Calculate the remainder when m(5) is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 1 - 1 - 12*r - 17*r.\nAnswer: -29*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1331 or -1329?\nAnswer: -1331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -s - 5, 3*p + 5*s + 19 = -4. Let g be p\/((-4)\/3) + 7038\/72. Let d = g + -96. Put -5, 0.4, d, -2 in decreasing order.\nAnswer: d, 0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 95\/35 - 2\/(-7). Suppose w + 2 = 5*k + a, 2*w - 5*k = 7. Solve w = r - 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1319\/290 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i**2 - 2*i - 1. Let v(p) = p**2 - p - 1. Let h = -706 - -708. What is h*v(d) - b(d)?\nAnswer: -4*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 2. Let d be (-6)\/(-18) - (-772)\/s. Suppose 4*b - d = b + 3*k, -231 = -5*b + k. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 329395 and 5085?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-248)\/62)\/(11\/((-11)\/42))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4 + 3*d - d + 0*d. Let m be c(9). Let l(y) = 2*y**2 + 4*y - m + y + 31 - y**2. Calculate l(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3175*m = 3172*m - 5*d + 28, m + 49 = -5*d + 55 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-650)\/(-580)))\/(40\/100)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d22ba (base 16) to base 13.\nAnswer: -51b157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/365 and 11\/7350.\nAnswer: 536550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1097 + -1096. What is the nearest to -0.06 in -3, 7\/4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/526880 and -19\/17760.\nAnswer: 1580640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + 6. Let n = -0.002 + 77.602. Let l = n - i. What is l rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798951761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12*v + 28 = 0. Suppose -5*q = -3*s + 48, 5*q - 5 = -v*s + 2. Let u(b) = -14814*b - 46. Let n be u(s). Round n to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-57)\/63 + (-2)\/(-6). Let b = 481 + -485. What is the biggest value in -3\/4, b, 3\/5, n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18586065?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3209 = -37*v + 38*v - 471. Is 46 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 1753*r**2 - 4*r - 2. Give o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67906526?\nAnswer: 2, 5717, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {k: 2, r: 2, n: 11, f: 3, a: 1}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 45 = 3*f + 4*o, 84 = 5*f + 2*o. Suppose -8*k + f = 2. Solve -2*l + k*j - 10 = l, -5*j + 25 = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + n + 1. Let i(u) = 5*u**2 - 2*u - 3. Let g(h) = -i(h) - 4*q(h). Let l be g(-3). Let r(a) = -a**2 - 5*a + 1. List the prime factors of r(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.86073 millimeters to micrometers.\nAnswer: 21860.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {i: 2, c: 3, p: 4, e: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 148, 357, 638, 985, 1392?\nAnswer: 1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from vvlqm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325397 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqccqqcccqcqqc. What is prob of picking 2 c and 2 q?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 140, 228, 316, 404, 492?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-1)\/f)**(-26))**(4\/5))**(-6\/7))**(-1\/14) assuming f is positive.\nAnswer: f**(624\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1713*d + 18845. Determine f(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14616 (base 7) to base 2\nAnswer: 111111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 + 14 - 35)*(0 - u + 0).\nAnswer: -39*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 4 (b) -5\/3 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 5. Let w be l(-4). Let k = -1 + w. Differentiate k - 2*i**3 - 2 + 0*i**3 with respect to i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 8. Calculate b(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 121?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13539815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a. Let m(w) = -282625*w**2. Calculate m(x(z)).\nAnswer: -47763625*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 7*g - 15. Is g\/(-4)*32\/(-12) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + m - 3. Let y be b(3). Let j(r) = 25*r**3 - 2*r**2 + 3*r. Let x be j(2). What is the greatest common divisor of x and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4196*o + 25106 + 6816 = -35214 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q + 3*f - 86 = -43*q, -q - 3*f + 26 = 0. Solve -14*b - q = -10*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3083105543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*17299\nAnswer: -3459.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330 (base 16) to base 10.\nAnswer: -816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (555\/(-333))\/(((-230)\/(-72))\/(-23))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k + 1. Let f be o(1). Let g(y) = 217*y - 22. Let a(v) = -513*v + 52. Let s(b) = -11*a(b) - 26*g(b). Let r(d) = -16*d. Give f*r(c) - 5*s(c).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = o - 0*o + 27, -9 = 2*c - 5*o. Calculate the lowest common multiple of c and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 3*c + 12. Suppose 13*x - 9 = 10*x. Let y be r(x). Suppose 3*s + 0*s = y. Solve -3*d - i + 3 = -2, 16 = -s*i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b = 20*b + 28. Suppose 11*r - b*r = 28. Solve -5*l - 7 + 24 = o, 4*l + 3*o - r = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.055 (b) -1 (c) 3 (d) -15 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 - 13*q + 21. Suppose 5*p + 11*n - 8*n - 26 = 0, -2*p - 5*n = -18. Give b(p).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/5 (b) 536 (c) 2\/23 (d) 0.2417\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1125 and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5545016 (base 8) to base 10.\nAnswer: -1493518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.022746 and 0.2.\nAnswer: -0.0045492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4*d = 72, 6*b - 274 = -4*d - 366 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - -6) + -7 + 10 - 11) + 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = -0*c + 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6276850 + -30?\nAnswer: 6276820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -962527, -962526, -962525, -962524?\n\"Answer: n - 962528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kessksokwkkkksk. What is prob of picking 2 k and 1 e?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 + -13 + 19 + (-381)\/(-90) and -157\/1590?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*u - 9000008 = 0, -5*x + 2*x - 5*u = -9000020. Round x to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3 - 3. Let z = 40 + -25. What is the remainder when z is divided by 3 - (s + (-4 - -7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 24*t**3 + 10*t**2 - 10*t - 7. Let b(i) = -5*i**3 - i**2 + 3*i - 3. Let q(j) = 5*b(j) + g(j). Calculate q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by 51.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/1708 and -41\/168?\nAnswer: 10248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 - 404 + 404. Let k(a) = 14*a + 90 - a - 90. What is k(v(g))?\nAnswer: 52*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.077 + -1.077. Which is the nearest to -1\/3? (a) g (b) -2\/15 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f*f**7*f*f)\/f*f*f**(-3\/7)*(f\/f**(-1\/2))**(2\/15) assuming f is positive.\nAnswer: f**(377\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -13*d + 6. What is the hundreds digit of l(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82631?\nAnswer: 19, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 + 0*x**3 - 2*x**3)*(-623*x + 39 + 636*x - 40).\nAnswer: 26*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314179890?\nAnswer: 2, 3, 5, 17, 61, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {j: 14, a: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -98635848?\nAnswer: -98635844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4818 divided by -803\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 886596 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52720*y**3 + y**2 + 8935*y - 8 wrt y?\nAnswer: 316320*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 0, 1.344, -2, 349, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 23*f - 1. Let u be 5\/10*(-1 - 1). Let d be o(u). Does 15 divide -4 - (-4 + -4) - d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -152.6355456 and 0.1.\nAnswer: -152.5355456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516017, 1032043, 1548073, 2064107, 2580145, 3096187, 3612233?\nAnswer: 4128283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -141447290 to the nearest one million.\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3091 and 1967?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(45)*3 + -5 + 5 + (-2*sqrt(125) - sqrt(125)) + 5)**2 + 5.\nAnswer: -12*sqrt(5) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 7*k + 240. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -0.381?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -95)*6\/(-12). Let h = b - 2. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 d, and 1 e when three letters picked without replacement from neeheledgeegede?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 14 = 2*x + 14, -4*x = -12. Calculate the remainder when 83 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**5\/30 + l**4\/12 + 3*l**2 + 16*l. Let s(h) be the first derivative of k(h). Solve s(g) = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1900?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.38426454 and 0.71.\nAnswer: 0.32573546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 1 = i. Let x(q) = q**3 + 7*q**2 - 2*q - 6. Suppose -3*o = 4*w - 30, -5*w - 5*o = -14 - 26. Calculate the lowest common multiple of w and x(i).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rszzzzwsrsjsssrj. What is prob of picking 2 z and 2 j?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16414923211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 35. Suppose -3*l = r - 17, -2*l = r - l - 9. Let c(b) = -b**3 + 7*b**2 - b - 5. Let f be c(r). Calculate the highest common divisor of z and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31893 + -31892. Which is the closest to i? (a) 30 (b) -2 (c) -0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, 2383241 in decreasing order.\nAnswer: 2383241, 10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10332233 + 0?\nAnswer: 10332233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -345\/7. Which is the nearest to -1? (a) n (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 13940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 1068 = 8058. Suppose 506*a = r*a - 76. Suppose 4*o + 3*z - 158 = 0, 5*o = 3*o - z + 78. Calculate the highest common factor of a and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80a49 (base 11) in base 14?\nAnswer: 31207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71618881.\nAnswer: 71618881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.61296 to one dp.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -15, 208, 1 in ascending order.\nAnswer: -15, -4, 1, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 453 + -452.4. What is the third smallest value in n, 14, -0.3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (5 - (2 + 1)). Suppose 0 = -h, -2*u - 6 + 0 = h. Let r be u - (132\/(-21) - m). Which is the third smallest value? (a) -2 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/6)*u)\/(u**(1\/6)\/u))\/(u**(-3)*u\/u**(2\/9)))\/((u\/u**(1\/3))\/u**(5\/6)*(u*u\/(u*u*u**1*u))\/(u**(4\/9)\/u)) assuming u is positive.\nAnswer: u**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3 - 1. Let f be d\/(-4) - 49\/(-14). Solve 0*u = -f*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*v = 108, 5*m + 7*v - 8*v - 96 = 0. Solve -m*l = -16*l + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 6*l - 8. Let c be 8 + (l + 1)\/(-1). Suppose -8*g = -c*g - 99. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17015 + 17250. Calculate the lowest common multiple of n and 240.\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xht when three letters picked without replacement from {w: 2, x: 1, v: 1, f: 1, t: 1, h: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2 (c) 3.4 (d) -0.237\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 20) + -216 + 222.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571 + 0*i**3 + 571 + i**3 - 2*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/7)\/r**37*r**(-3\/22)*r**7\/r assuming r is positive.\nAnswer: r**(-4729\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 - 101?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 65 - 23 = 0. Calculate the smallest common multiple of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3019270 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 608, 1017, 1428, 1841, 2256, 2673, 3092?\n\"Answer: d**2 + 406*d + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000065802303 to six decimal places.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 505.00554 + -505. What is w rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 minus -4521.385892?\nAnswer: 4520.285892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/1 + 27860\/(-2800).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvb when three letters picked without replacement from {n: 1, i: 1, d: 1, b: 2, v: 1, r: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**35*g**(-34)\/g*((g**(-22)\/g)\/g)\/(g\/(((g\/(g**(-2)\/g))\/g*g*g)\/g*g)) assuming g is positive.\nAnswer: g**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1918016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, -4\/7, -149?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11639, -2, 962?\nAnswer: 962","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25778318?\nAnswer: 2, 12889159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyxyxyxyyxyx. Give prob of sequence xxyx.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4 + 40. Let y(i) = -18*i + 30. Calculate the lowest common multiple of y(-10) and h.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2830*f - 11462 + 11462)*(-3 + 1 + 0) as y*f + b and give y.\nAnswer: -5660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/945 + (-95)\/28?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 43.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43.729472436 - 0.14.\nAnswer: 43.589472436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 298662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**3 - 57*z**2 + 100*z + 26. Determine s(8).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, t: 4}. Give prob of picking 1 h and 1 t.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w + 2*w + w)*(13 + 2*w**2 + 10 + 1) + (0 + 0 + 2)*(46*w**3 - 19*w**3 + 74*w**3).\nAnswer: 194*w**3 - 96*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40b6010 (base 12) to base 5.\nAnswer: 11104314122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.23 (b) 149 (c) 1\/11 (d) 1\/355\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 3186*n + 278190. Calculate v(83).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + (sqrt(121)*-1*1 + (2*(sqrt(121) - (sqrt(121) - sqrt(121)*2)) - sqrt(121)))\/(-6*(3*(sqrt(11) + sqrt(11)*4 + sqrt(11)) + sqrt(11)))))**2.\nAnswer: -24*sqrt(11)\/19 + 51995\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/258876 and -37\/829362?\nAnswer: 44785548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 3\/(6\/4). Let b(o) = 3*o - 2. Let k be b(2). Suppose 3*t - k = 2*x, v = 2*x - 0*x - 2*t. Sort -1, 0, x in descending order.\nAnswer: x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -20*f**3 - 2*f**2 + 1. What is u(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46433968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23359 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 + 17*f - 5. Let o be v(5). Let p(c) be the third derivative of 0*c + 3*c**2 + 0 + 1\/24*c**4 - 1\/2*c**3. What is p(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*d = -85, -133 = -5*x - d + 387. Let v = x - 96. Let f(w) = 13 + w**2 - 2*w**2 + v*w - 11. What is f(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-130) - ((-2667)\/105 - -25)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (10 - (35 + 21))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 14*j - 207. Let h be -500*48\/j*46. Round h to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.09 - 0.09. Let x = -2 + d. Suppose 5*y - 3 = -2*w, 2*y - 4*y = 2*w. Which is the nearest to 0? (a) x (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*t - 710, 4*t - 554 = 11*h - 8*h. What is the greatest common factor of 2030 and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -39*x - 192. Let i(r) = -8*r - 39. Let k(h) = -24*i(h) + 5*s(h). Determine k(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 7. Let d be p(-8). Let f = 7310\/21 + -2439\/7. What is the nearest to -3 in 0, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116821558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/((-4)\/(-12)) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.622 + 26.610331. Let a = w + 8.010969. Let r = -8 + a. What is r rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.00000581 - 27. Round w to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -5*s + 2*p + 35 + 25, 0 = -s + 4*p + 1 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1639933221?\nAnswer: 3, 71, 859, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 608.467 milligrams to nanograms.\nAnswer: 608467000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3813 = -29*p + 10890. Let i = p + -497. Let g = -6 - -16. Solve -i*z + 5*z = -g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6424 and 616.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*((-1 + sqrt(1900) + -2*sqrt(1900))**2 + 4*(sqrt(1900)*2)**2).\nAnswer: -129206 - 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -173.3 - 11556209662.\nAnswer: -11556209835.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.14 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60893 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Suppose 97*i = 82 + 15. Let t(f) = -5*f - 21. Determine i*t(n) + 3*x(n).\nAnswer: -2*n - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.4558436 + -3.456. Round k to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 3, p: 3, o: 8}. What is prob of picking 2 p?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -32865 divided by -5034\nAnswer: 10955\/1678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 3. Let h = -16.98 + -0.02. Let b = h - -15. Put w, b, -0.2 in decreasing order.\nAnswer: -0.2, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1154b + 1?\nAnswer: -1154a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 14*m**3 + 3*m**2 - 24*m - 69. Give f(-2).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153808889 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2217984 and 36100?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11564 divided by -413?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1314 + 404. Suppose -10*f = -682 - o. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 15*f**2 + 36*f + 5. Let u be b(-3). Solve -r + 4 = 2*p, u*p + r - 2 = 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 2*n - 6 + 2 + 0*n + n**2 to h + l*n**2 + m*n and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-1 - (4 + (-2047)\/410)). Round x to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351*y + 1215842 + 499846 = 0. What is the highest common divisor of y and 208?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 643?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + ((-5 + 1 + sqrt(1331)*-1)*-3*-4)**2.\nAnswer: 12672*sqrt(11) + 193973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*l - 270 + 70, 5*k + 3*l - 479 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 485320?\nAnswer: 4367880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u - 1642 + 9*u**2 - 12*u**2 + 1638. Suppose 2*d = 4 + 4. Calculate q(d).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, w: 1, d: 1}. What is prob of picking 1 g and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 402976 and 672?\nAnswer: 1208928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300.42935 milliseconds to days.\nAnswer: 0.000015051265625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.3 - -6. Let u be ((-2)\/(-4))\/(1\/4). Let g be u\/42*(0 + 6). What is the nearest to 0 in m, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -197*p**2 - p + 5. Let t(q) = 183*q**2 + 2*q - 6. Calculate -6*a(l) - 5*t(l).\nAnswer: 267*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24666, -64280, -130304, -222738?\n\"Answer: -13205*c**2 + c - 11462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1743*t + 19 + 4805 = 8017 + 17723 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c057 - 14?\nAnswer: c043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 0.774.\nAnswer: 5.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w. Suppose -8*v = -7*v - 5. Let c be f(v). Solve 5*z - 2*g = c, 0*z - 3*g - 20 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 267 = -1194. Is r less than or equal to -104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76738 = 117*z - 71707 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10448.3806 to 0 dps.\nAnswer: -10448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 643168240 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 63*w = -62*w + 41, -21*s = -2*w - 137 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62.4 + -62. Suppose -2*w + 5*w + 12 = 0. What is the closest to -1 in w, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285915, 571825, 857733, 1143639, 1429543, 1715445?\nAnswer: 2001345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*h**3*w**2 - 691953*h**3 + 2*h**2*w**2 - 38132993*h**2 wrt h?\nAnswer: -150*w**2 - 4151718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, -195.83, -5, 0, -0.3, 0.4 in decreasing order.\nAnswer: 119, 0.4, 0, -0.3, -5, -195.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 593 = 5*y, 5*c - 4*c = y + 307. Sort 3, c, 2 in decreasing order.\nAnswer: c, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20100)\/1200 + 1*14. Which is the third smallest value? (a) -19 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3551*g**3 - 9*g - 782. Let u(b) = -10*b**3 + b - 1. Let v(j) = -l(j) - 9*u(j). Differentiate v(n) wrt n.\nAnswer: 10923*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11580273?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 21. Calculate the remainder when i is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from {l: 1, v: 5, u: 7}.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, 4\/9, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s. Let l = -179 - -181. Let h(m) = -6*m**l + 20*m**2 - 2*m**2. What is f(h(i))?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-235062)\/6) + 5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -s - 3*s. Suppose -276*c + 173 + 931 = 0. What is the remainder when c is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**2 + 4*r**2 + 9*r**2 - 29*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + 3*g**2 + 6*g + 3. Let v be w(3). Let l(f) = -28*f - 27. What is the tens digit of l(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -997, -996, -995?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 2. Let n(b) = -5*b + 50. Calculate -3*j(p) - n(p).\nAnswer: 2*p - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/7 + 4\/7*f**2 + 12\/7*f.\nAnswer: 4*(f + 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -509520 divided by 25476.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 - 0.47. Let z = 18 - 16.7. Let s = 6.3 - z. Which is the closest to -1? (a) s (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -216)\/(2*(-4)\/(-4)).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009000839 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1491903249.\nAnswer: 3, 497301083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -334 - -457. Calculate the highest common factor of 656 and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -695442 or -695441?\nAnswer: -695441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*-5*2\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 12*v**2 - 15*v + 28. Let i be l(13). Solve 3*o - c = 16, 4*c - 3 = -i*o - 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6620.\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 22. Suppose -20 = -5*t - 0*t, 2*t - b = -v. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13610 or 13613?\nAnswer: 13613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6\/11)*a\/(a*a*a**8)*((a*(a*(a**(-1\/3)*a)\/a)\/a)\/a)**(-1\/3) assuming a is positive.\nAnswer: a**(-934\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121450\/239 or -508?\nAnswer: -121450\/239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5 = -67. Let y = g - 20. What is the units digit of (0 - y)*(-2 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 11:50 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*y**3 + 36 - 36)*(-2*y + 2*y + 2*y) + 109*y**4 + 17*y**4 - 13*y**4 - 10 + y**4 + 10 to d + f*y**4 + o*y**2 + i*y**3 + v*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -4*o**3\/3 - o**2\/2 + o. Let s be z(1). Is ((-4)\/(-3))\/((-2)\/s) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38050 or -38047?\nAnswer: -38047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -6 - ((-17 - -173) + -40 - -30)?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1593, -3167, -4741, -6315?\n\"Answer: -1574*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.6267 plus 0.01?\nAnswer: -47.6167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 1104558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 15) to base 5\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 68\/(-2) + (36 - 21)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-4))\/((-12)\/24). Determine a so that 272*a**z - 8 + 112*a + 254*a**2 + 454*a**3 - 411*a**2 - 349*a**2 = 0.\nAnswer: 2\/11, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 39 = 3*h, 3*w - 2*h - 3 = 35. Let g = 50 - w. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 756169417 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044353145 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/204435 and -59\/105.\nAnswer: 204435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1283454 * -0.1.\nAnswer: -128345.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 6:10 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:03 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(10\/7))\/((j\/j**(-22))\/j) assuming j is positive.\nAnswer: j**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000226 rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.2 (c) -0.2 (d) 2218 (e) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**6\/480 - p**5\/40 - p**4\/6 - 29*p**2. Factor r(s).\nAnswer: s*(s - 8)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 + 346*i\/3 + 1188.\nAnswer: 2*(i + 11)*(i + 162)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s + 18 = -24*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02934 + 5.02934. Which is the second smallest value? (a) 3 (b) 5\/11 (c) u (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1756, 1737, 1708, 1669?\n\"Answer: -5*y**2 - 4*y + 1765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*r - 37 - 98, 3 = -r. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyyy when four letters picked without replacement from yyyzyyyyzyy.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73176 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**5\/60 - 5*j**4\/24 + j**3\/3 + j**2. Suppose 2*p - 4 + 2 = -2*r, 3*p = 3*r + 27. Let s be h(p). Solve -3 = -3*y + s*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {i: 8, a: 2, r: 9, g: 1}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 11*a**2 + a - 8. Let l be r(11). Solve -10 = 2*o + l*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111 + 113. Suppose r = -r - q*g - 2, 4*g + 12 = 0. What is p in -9\/2*p**3 - 1\/2*p**5 + 5\/2*p**4 + 0 + 7\/2*p**r - p = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 912048\nAnswer: 1\/57003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 320 + -319. Let j = 3.3 - 3. Let g = j - -0.2. What is the third smallest value in p, g, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 44723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 3:59 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -64 in 1\/52, 0, 1\/43, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313554 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -775.96 - -715.1. Round j to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -11*f**6\/60 - 5*f**3\/3 + 8*f**2. Differentiate r(n) with respect to n.\nAnswer: -66*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a factor of 6087239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 7\/5732?\nAnswer: 7\/5732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soos. What is prob of picking 1 s and 1 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -56811 to the nearest one thousand.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*b*f*g**3 - b*f*g**2 + 60773*b*f*g - 2*b*g**3 + 2*b*g**2 - b*g - 2*f*g**3 - 123095*g**3 + g**2 wrt g.\nAnswer: 84*b*f - 12*b - 12*f - 738570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1188 and 97\/27432.\nAnswer: 301752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-12)\/1 + 3762\/297)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9*((-2)\/(-3) - 0). Let s be ((-4)\/b)\/(10\/15). Suppose -36 + s = -5*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92809596 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 3*n - 4*g + 40, -69 = -2*n - g. Suppose 0 = -5*i + 8 + n. Solve i*y - 4*y = -8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464025 is divided by 850?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1231 divided by -22.\nAnswer: 1231\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l. Let x(o) = -5*o - 1. Let h(y) = -6*f(y) - 5*x(y). Let v be h(-2). Suppose -8*i + v*i = -115. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 10:24 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 10*j + 33 = 0, 92*m = 93*m - 3*j - 30 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a = -486 + 402 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63a - -26c5?\nAnswer: 2089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*(1*(5 + sqrt(720)*-3) - (sqrt(720) + (-1 + sqrt(720) - sqrt(720))**2 - sqrt(720))*-1*6).\nAnswer: -66 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3 - 5*g**2 - 7*g. Let v(r) = 5*r**3 - 5*r**2 - 8*r. Give 6*n(j) - 5*v(j).\nAnswer: -j**3 - 5*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88\/35 + 12\/7. Let l = 0.03 + 2.97. Which is the closest to l? (a) -4 (b) h (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8697?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 1\/100 (b) 2\/419 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1382, -2985, -4590, -6197, -7806, -9417?\nAnswer: -11030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 4\/9 (c) -0.11 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 17. Suppose -3*d + 0*d = -q. Suppose 4*s + 20 = 6*s. Calculate the least common multiple of s and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3602174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 at most -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -211. Let l = a - -149.6. Which is bigger: l or 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**3 + u**2 - 1. Let t be b(-1). Let p be ((-26)\/t)\/(4\/(-24)). Let k be 10\/(-25) + p\/60. Do -15 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 82, 222, 456, 784, 1206?\n\"Answer: 47*k**2 - k + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 + 1)*(1 - 3 - 1)*(1 + 2 - 1)*(3*p**2 + 4*p**2 - 6*p**2).\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50711 + 99418. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 685, 683, 681?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Let y be ((-3)\/8)\/(2\/8*-6). Which is the closest to k? (a) 0.1 (b) y (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 2\/9 (c) 8 (d) -2\/3 (e) 0 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 0, -52, 5, -19, 1 in descending order.\nAnswer: 6, 5, 1, 0, -5, -19, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 35*w**2 + 111*w - 2. Give v(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 10\/7 (b) 0.1 (c) 8 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.09, 0, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from tyyttyyttttyy.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 14 = -195. Let g = d - 80. What is the remainder when 6\/(-15) - g\/15 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c + 3. Calculate t(11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*1\/(2465\/(-34)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*x = 7, -5*p + 16 = -p - 4*x. Let f(w) = -22*w - 3. Let q be f(6). Let t = q - -135. Solve p*i - 15 = -t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 1614377 + 1480047. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 + 2*m**2 + 6*m - 2. What is i(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/8*(512 - 508). Let y(u) = -u**3 + 12*u**2 - 26*u + 16. What is y(n)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 47*o + 216. What are the prime factors of r(28)?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*l + 2 = 0, 4*l - 32 = 3*s + s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a**2 - 170*a + 1073. Let w(m) = -9*m**2 - 171*m + 1074. Let u(p) = 3*h(p) - 4*w(p). What is the derivative of u(i) wrt i?\nAnswer: 12*i + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4767 - 4637. Solve 26 = -143*l + n*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 8, 0*x + 2*g = -3*x + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 + 257*n + 590. What is the lowest common multiple of 1426 and j(-49)?\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 26 + 7 + h - 27 - 11.\nAnswer: h - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-54600)\/(-13))\/((-2)\/(-100)). Round x to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l*l\/(l*l**(-5)))\/l)\/(l\/l**(-2\/3)))\/(l**6*l*l**(-3\/8)))**(-2\/121))**11 assuming l is positive.\nAnswer: l**(79\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 552243.5 grams in micrograms?\nAnswer: 552243500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2207*g**2. Let x(b) = 13*b**2 + 13*b**2 - 4 + 4 - 25*b**2. Calculate x(q(m)).\nAnswer: 4870849*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/13650472 and -31\/2.\nAnswer: 13650472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 19. Let a(r) = 2*r + 1. Let i(u) = -2*u. Let f(z) = -4*z - 1. Let g(s) = -3*f(s) + 3*i(s). What is v*g(y) - 17*a(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 377 - 110. Let m = -7 + c. Is 53 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 50?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 545, 1185, 1841, 2519, 3225, 3965, 4745, 5571?\n\"Answer: y**3 + 2*y**2 + 627*y - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m - 8. Let l be r(-5). Let v(t) = -2 - 2*t**l - 2*t**2 + 1 + 3*t**2. Let d(k) = -2*k**3 - 6*k**2 - k - 7. Give d(w) - 6*v(w).\nAnswer: -2*w**3 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -62695360 divided by 1959230\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114*g*v**2 + 78*g*v - 53*v**2 + v - 23 wrt v.\nAnswer: -228*g - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -131279 divided by -2?\nAnswer: 131279\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millennium in decades?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53514, 107035, 160558, 214083?\nAnswer: 267610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxcayyxxcdxcyxcc. Give prob of sequence dcxc.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*v - 8, r - 3*r = -3*v + 4. Find the first derivative of 0 + i**4 + 1 + v wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 616993, 1234027, 1851155, 2468425, 3085885, 3703583, 4321567, 4939885?\n\"Answer: 8*i**3 - i**2 + 616981*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) -2\/5 (c) -3 (d) 1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 (base 12) in base 8?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1, 60, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 12:31 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d\/d**(-8)*d*d)\/d*d\/d**(-7))\/(d**0)**(2\/67))**6 assuming d is positive.\nAnswer: d**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 9. Suppose -5*j = -f*a - 30, -4*j - 4 = -12. Let i(p) = -p**3 + p**2 + 3*p + 4. Let h be i(3). Sort -1, a, h in increasing order.\nAnswer: h, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 4*n + 3*n)*(-2 + 7 + 0)*(-3*n**4 + 0*n**4 + 12*n**4).\nAnswer: 90*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v = -90. What is the remainder when v is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17800*f**4 + 70*f**3 + 6*f - 1722636.\nAnswer: -213600*f**2 + 420*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 plus -227599?\nAnswer: -227862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 4. Let o = 13 + h. Suppose 3*r - 9 = -i - r, -4*r + 3 = -o*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -23*17*(-203)\/1372. Let b = s + 107\/392. Let j = 1631\/24 - b. Calculate the common denominator of -65\/14 and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 20 = -0*c. Let k be 0\/(c + 0) - -3. Suppose 0 = g - k*l - 5563, -7*l = g - 2*l - 5547. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 158 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 505?\nAnswer: 4545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**2 + 18*v - 100. Is q(6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppwwwppwwwppw. What is prob of sequence wwpw?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/6)\/(-5)*16\/(-80).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttkcckittgvk. Give prob of picking 1 t and 3 k.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 11121120011001112?\nAnswer: 11121120011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22061171807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/i**(2\/3))**(42\/13)*i\/(i\/i**(1\/11))*(i*(i*i\/(i**(-3\/19)\/i))\/i)\/i*i assuming i is positive.\nAnswer: i**(29309\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6302 + 7*f - 43*f + 6307 as y*f + o and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1270 = 4*y - 13489, -y + 3686 = d. What are the prime factors of 2\/8 - y\/56*-2?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1155 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6*(-27)\/6. Put b, 5, 8, 3 in increasing order.\nAnswer: b, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 0.7, 0, -37?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 59.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115368*l + 57698*l + 57782*l = 1232 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 0 + 1\/840*l**7 - 1\/1344*l**8 - 1\/96*l**4 - 1\/120*l**5 - 4*l**2 + 1\/240*l**6 + 0*l + 1\/24*l**3. Factor j(f).\nAnswer: -(f - 1)**3*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 42\/63)\/(8\/(-18))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*p, -3*p + l = -4*p + 10. Let i(j) be the first derivative of -1 - 2\/5*j**p + 0*j**2 + 0*j**4 - 2*j + 4\/3*j**3. Let i(o) = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 255901 or 255899?\nAnswer: 255899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2*x + 3*x)*(-x - 6*x + 2*x) + (-x - x + 4*x)*(0*x + x + 2*x) + 9*x**2 - 22*x + 22*x + 0 + 0 + 2*x**2 + (-5*x + 0*x + 4*x)*(3*x - 3*x - x).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4954939 to the power of 1\/2, to the nearest integer?\nAnswer: 2226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0566051 to four decimal places.\nAnswer: -0.0566","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5321 divided by -17.\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-2163))\/((9\/27)\/(-3*(-3)\/(-54)))?\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*k + 23, -4*z - 21 = -k + 20. Let i be z\/(-3) + (-2)\/(-6). Solve b = i*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 10*m**2 + 8*m + 8. Let j be b(-9). Suppose -1 = -2*x - j. What is the tens digit of (-5)\/1*x\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13606695 and 7437?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*t + 8 - 8)*(-3 - 2 + 4)*(-4*t + 5*t + t) + (-3*t + 0*t - 8*t)*(-2*t + 6*t - 2*t) in the form d*t**2 + k + l*t and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42\/115 + -4\/115. What is the nearest to -1.1 in 4, 0.16, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 42*p**2 - 246*p + 10. Calculate n(5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1833307.\nAnswer: 7, 23, 59, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 divided by 6?\nAnswer: -215\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvvvddiibdddvivbbbv. Give prob of picking 1 i and 1 b.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3*a = 7*a - 20, -3*a = -7*x - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttu when three letters picked without replacement from uuuttuttuuuuuuuutu.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 + 0 = 0. Suppose q + 0*p + p = 0, -o*p - 2 = 2*q. What is the units digit of (0\/1 + 1)*q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -3110?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 170?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 52 = 3*n + 2*l, l + 115 = 5*n. Solve z + 4*y = 18, 0*z = -4*z - 4*y + n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k\/k**(-5\/2))\/k*k*k)*k)\/k)\/k)\/k*k)\/(k**(-19)*k*k*k)*(k\/k**(-5))\/k*k*k**(-2\/17) assuming k is positive.\nAnswer: k**(591\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 85 - 102 - (-4 + 5 + -7 - -6)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 219653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 = -2*w - 14, 4*r = 3*w + 15. Suppose -4*f = r*f. Suppose 0 = 2*k + 3*k - 25. Solve -2*d - 5*n + 25 = f, n + 12 = k*n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (20 - (16 + 0))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 925*t - 458*t - 467*t.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/30)\/(21\/(-105)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 10:29 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.71 + 2.71. Let z be (-5 + 2 + 0)*3. Let a be (40\/(-48))\/((-6)\/z). What is the second biggest value in a, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 25.1. Let v = 24 + a. Which is bigger: v or -22?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9523897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 139 = -1355. What is the remainder when 137 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from -123.\nAnswer: -123.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31087675?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*r**2 + 243*r**2 - 745*r**2 + 251*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -8. Suppose -l = l - c. Suppose i + 17 = 4*g, -g - l*i - 1 = -2. Solve 20 = -u + g*t, 7*t = 4*u + 3*t + 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 53. Suppose -10*l + 16 + g = 0. Let r be 13 - (-4 - (-9 + l)). Solve x - r = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -75*(0 - 1)\/1. What is the first derivative of 145*k - 72*k + 5 - c*k wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/43, -0.5, -2\/3, 85, -0.057?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6028 = -448*a - 251 - 8835 + 778 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-7 - 198\/(-27)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/2)\/o**(-12)*o**18\/(o*o**(7\/5)*o) assuming o is positive.\nAnswer: o**(261\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1\/d)**(3\/34)*(d**0\/d*d)**(-48))\/(d\/(d**(3\/5)\/d)*d**(-4))**18 assuming d is positive.\nAnswer: d**(7971\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -22222220?\nAnswer: 22222201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4*-261.3.\nAnswer: 627.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 99242 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j\/j**5)))\/(j*j**6))**(-11)\/(j**(1\/4)\/j*j*j**(-1\/7)*(j\/(j*j**1))**(5\/12)) assuming j is positive.\nAnswer: j**(5557\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 5 + 2)*(3*t + 0*t - 5*t + 6) to the form m*t + d and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02306984 plus 0.21?\nAnswer: 0.18693016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.045 - -0.955. Let f(t) = 2*t + 84. Let w be f(-20). Are k and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4) + (-54)\/(-12). Let d(z) = 3*z**3 + 2*z. Let f(h) = h + 6. Let k be f(-4). Let a(y) = -3*y**3 - 3*y. Give k*a(b) + w*d(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -629 divided by -4.\nAnswer: 629\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213*p**4 + 138146*p**3 - 18048*p**2 + 30*p.\nAnswer: -5112*p + 828876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**3 + 59*u**2 + 657*u + 1366. Give o(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide (0 - (-54)\/8)\/(15\/2200)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - 18*y**3 - 12*y**3 + (-3*y + y - 14*y)*(5*y**2 - y**2 + y**2).\nAnswer: -108*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/11 + 3240\/792. Suppose -62 = -3*m + 19. Suppose 18 = -q*h + m. Solve -l = -h*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, u: 4, y: 1, n: 1, s: 3}. What is prob of sequence uii?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.62 minus -30.8?\nAnswer: 29.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8257 = -21*k. Suppose -350*w = -k*w + 54. What is the greatest common factor of 18 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**5\/60 + j**4\/4 + 2*j**2. Let k be f(6). Suppose 7*d - 2*d - 240 = k. What is the highest common divisor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zekk when four letters picked without replacement from pqqokkppqqkeqqzpqqop?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 629358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnnnrnnvdvwyv. What is prob of sequence yvnw?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154*r**2*y - 849*r*y wrt r?\nAnswer: 308*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48249.\nAnswer: 3, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(33) + sqrt(297)\/(sqrt(63)\/sqrt(7)))\/(2*sqrt(704)) - (4 + (-2*sqrt(108) - sqrt(108))**2 + 4 + -4).\nAnswer: -976 + 3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 47*h + 49*h + 22 = 0, -h = -11*b + 68 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5952 - 0.6. Round q to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 64*c - 151. Does 11 divide n(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*a**3 - a + 56*a**3 - 361*a**2 + 37 + a**4 + 362*a**2 as d*a**3 + x*a + m*a**2 + k*a**4 + t and give t.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1048 (base 14) to base 4.\nAnswer: 223320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1, -12, -27, -46?\n\"Answer: -2*y**2 - 5*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 12:14 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 373261039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/14)\/1 - 55\/105) + (-34736)\/(-624).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -24, -70, -154, -288, -484, -754?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -9*g + 2. Let d be 11\/(-1 - -4 - 4) + g. Let z = d + 8. Let q(o) = 2*o**2 + 7*o + 5. What is q(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67986.\nAnswer: 2, 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121432 + 573701. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 334 + -331. Let n(f) be the second derivative of 3*f + 0*f**t + 0 + 0*f**2 + 2\/3*f**4 + 1\/10*f**5. What is the third derivative of n(k) wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*g - 184000 = 0. Round g to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6+3.9494\nAnswer: 2.3494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/6*(-1088)\/(-7072).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28884 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346861, -348571, -350281, -351991, -353701?\nAnswer: -355411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/11 and -62\/463640151.\nAnswer: 5100041661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 816283 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 10*p - 12. Let d be r(-8). Suppose -5*m = -2*m. Let f = d - m. What is the highest common divisor of 20 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 4*i**2 + 3. Let d be o(-4). Let z = -31.5 + 31. Which is the nearest to 0.1? (a) z (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9178083*d**3*l**2 - d**3*l + 3*d**3 + 104*d*l + 3*d wrt l.\nAnswer: 18356166*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9*f - 129. Let d be g(-6). Let a = -71 - d. Solve 10*o = a*o - 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001243173 to six dps.\nAnswer: 0.001243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/10206 at most as big as 0.0323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is c46 (base 14) in base 3?\nAnswer: 10022102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/3 - -2*4\/12. Solve 4*f + 11 = -u*z, -4*z - z = -5*f + 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 9*w + 15. Let g(d) = -3*d + 29. Let v be g(w). Find the second derivative of v*h + h**2 - 14*h**2 + 25*h + 24*h**2 wrt h.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9*(-11)\/4 + (-3)\/4. Let k = 155 - u. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 4:07 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 149999562 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.46.\nAnswer: -0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17074.\nAnswer: 2, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 22. Suppose 181 + 89 = u. Suppose -3*r + f = -162, 3*f - u = 2*r - q*r. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 585*v**4\/4 - 7021*v**3\/2 - 29787*v**2\/4 - 3777*v + 13 = 0. What is v?\nAnswer: -1, 2\/585, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2\/7*a**2 - 144\/7*a + 0 = 0.\nAnswer: 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 3*w - 7. Let p(z) = z**2 + 9. Let v be p(3). Let s = w + v. Solve 10 = -3*r - t, -s*r + 4*t - 16 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 810 and 24480?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -5 - (7 + -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/22))**45*(k**(-2\/93)\/k)\/k**(1\/7))**(-28) assuming k is positive.\nAnswer: k**(-1314218\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -8)\/(2\/7). Let t be (0 + n - 1) + -1. Solve t - 2 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 1. Let b(k) = -2*k + 4. What is -b(v) + 6*g(v)?\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 14350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/28 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, -0.8, 9, -4\/9?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365015417.\nAnswer: 13, 103, 272603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 258517426 to the power of 1\/2, to the nearest integer?\nAnswer: 16078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p + 37. Let m be h(4). Which is bigger: 92\/15 or m?\nAnswer: 92\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g + 6. Determine m(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b, 5*t - b + 6*b - 485 = 0. List the prime factors of t.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 9 = -a, -5*a - 2*z + 11 = -8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*r - s + 404, 4*r - 308 = 3*s. Does 6 divide 64 + r\/60*3\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s + 24. Let i = s - -31. Solve 5*x = -2*d + 5 + 1, -i*x = -8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a = -21*a - 65. Let m(o) = 17*o**2. What is the remainder when a is divided by m(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.8 + 7.688. Round m to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 2\/7, 3.58 in descending order.\nAnswer: 54, 3.58, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l + 20. Let c be k(6). Suppose -4*g = -3*g - 3*q, 0 = -4*g + c*q + 40. What is the remainder when 21 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*j - 4 - 41*j + 4 in the form b + d*j and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24414 = 67*p - 64547. Calculate the remainder when p is divided by 122.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**2)\/c**(-2\/3))\/(c*c**(1\/4)*c*(c*c*c\/(c*c**(5\/3)))\/c) assuming c is positive.\nAnswer: c**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 15 + (65 - 12) - 26\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*x + 54 = -102*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 8*y + 3*y + 38, 5*y = -2*j + 32. Solve -20 = 5*b + 3*o, 5*b + j*o - 10*o - 15 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**8\/z)))\/z)\/z*z**(-1\/12)*(z\/(z*z**(-8)*z))\/(z**(-1\/15)*z) assuming z is positive.\nAnswer: z**(659\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 2 - 2 + 0*u**2 + 1 as v*u**2 + o + d*u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1015190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/10784445 and 58\/231.\nAnswer: 118628895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*w - 7716, -h + 16*w = 20*w - 3847. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 1 + 8 + 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4128 is divided by 118.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -a + 23. Let s = -50 - a. Suppose -s - 371 = -4*g + u, -2*g - u = -235. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 101*n + 20*n**3 + 185*n + 162*n + 179*n**2 + 546 + n**4 - 35*n**2 - 34 = 0.\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -202*y**3 + y**2 - 384 wrt y?\nAnswer: -606*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-736)\/69*6\/(-8). Suppose -4*w - j - 3 = 3*h, -5*h = -w + 26. Solve 2*x = 2*g + 10, 4*g + w = -2*x - 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -15*h + 11*h. Let b(l) = 5*l - 1. Let g(x) = 336*x - 70. Let n(k) = h*g(k) - 140*b(k). What is n(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 12. Let m be d(-5). Let h(i) = -i**3 - 6*i**2 + 9*i + 4. Give h(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o - 573472 + 179518 = 0. Let y(i) = -i**2 + i + 3059. Let t be y(0). Let m = o - t. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4824*j*y**2 - j*y - 4*j - 1884*y**2 - 431398*y - 2 wrt y?\nAnswer: -9648*j - 3768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 7*w**2 + 7*w + 2. Let k(h) = -h**2 - h. Let b(z) = -i(z) - 4*k(z). Suppose 2*y = -4 - 0. Let n be b(y). Solve 3*c - 12 + 3 = n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492489?\nAnswer: 3, 54721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -9*n - 31. Let x(v) = -8*v**3 - 8*v**2 + 21*v + 9. What are the prime factors of x(n)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -16 + 7 - (6 - 12 - 14)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -564, -893, -1284, -1743, -2276, -2889, -3588?\nAnswer: -4379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 + 28644\/(-880))\/((-66)\/(-80))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3 - 2\/3*n**4 - 2\/3*n + 1\/6*n**3 + 1\/6*n**5 + 5\/3*n**2 = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 183 = -2*k. List the prime factors of k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n + 6 = 0. Let r(v) = -4*v**2 + 1. Let h be r(n). Let z be h*1\/5*-4. Calculate the greatest common divisor of 30 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 5, -c + 2*m = -3 + 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0334 + 1.9666. What is the closest to s in 2\/39, -3, -0.06?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(-2)\/(9 - 3). Solve b - 3*i = q*i + 26, -4*i = 2*b + 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 70 + 104. Let y = 35 + m. Let g = 84 - 62. What is the remainder when g is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5700899ml?\nAnswer: 0.0005700899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**4\/7 + 347912*p**3\/7 - 15142864616*p**2\/7 + 1088933943744*p\/7 - 19592698255488\/7 = 0.\nAnswer: 36, 86942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18599 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 - -6425.9?\nAnswer: 6889.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304.716573ns to weeks.\nAnswer: 0.0000000000005038303125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1. Let o = -3504 - -3500. Let g = 1.6 - 1. Which is the third smallest value? (a) l (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c + c**2)*(3*c - 3*c - 2*c) + (0*c + 2*c + 0*c)*(-c + c + 3*c**2) - 3*c**3 - 15*c**2 + 15*c**2.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 26 = 2*p, 1 = -2*p + 3. Suppose 3*z = 3*i + 6, -2*z - q = -0*i + i. Let a(x) = x - 1. Let y be a(0). Which is greater: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1801715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g = 20. Suppose 4*z - g*m - 115 = 0, -2*m + 7*m + 15 = 0. Suppose -w + 2*w = 13. What is the remainder when z is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 4*h**2 - 6*h - 2. Let a = 14 + -17. Let v be y(a). What is the closest to -0.1 in v, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - -3*4460\/15. Let r = 4 - 0. Is (2\/r)\/(3\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36055223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(5\/(-2 - -7)). Which is the second smallest value? (a) 2 (b) 1\/5 (c) -1\/4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 388373259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/7)\/t)**(3\/46)\/(t**(-3\/10)*t**(2\/17)) assuming t is positive.\nAnswer: t**(5501\/27370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -4 - -5 - 0 - (-19 + -11 + 13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Let h be (-4 + 1)*(-8)\/6. Let p(w) = h - 3 - 5*w**2 - 1. What is n(p(u))?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 23*y**4\/2 - y**3\/3 + 29*y - 64. What is the third derivative of r(w) wrt w?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 2*c**6\/15 - 11*c**2\/2 + 4*c. Find the first derivative of v(m) wrt m.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 744*d**3 + 33 - 28 - 668*d**3 + (-6*d + d + 4*d)*(3*d**2 - 2*d**2 - 3*d**2).\nAnswer: 78*d**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 138*k**2 - 3*k - 9. Let b(d) = -9*d**2 + d + 1. Calculate -b(p) - u(p).\nAnswer: -129*p**2 + 2*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (1\/3 + (-3)\/9). Solve v*s + 20 = 0, -4*y + 0*y = -s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 212848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mok when three letters picked without replacement from oboooiookomohkookkok.\nAnswer: 11\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29034144 and 1728.\nAnswer: 174204864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = -24*j + 148 + 176 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 71. Let b be (3 + -1)\/(2 + (-8)\/m). What are the prime factors of -1 + 3 + 1 + 414\/b?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 12*l - 4. Calculate y(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.895*1930.\nAnswer: -1727.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 31. Suppose 0 = -5*u + f*m + 10, -4*u + 3*m + 8 = -0*m. Solve -5*c - 8 = -n, -u*c + 0 = 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-24))\/(-1*(-4)\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23287 divided by 1\nAnswer: 23287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 5*v - 5. Suppose k - 4*z = 27, -2 = 3*k + 5*z + 2. List the prime factors of d(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -5*x - 3*p, -5*p + p - 12 = 0. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171323 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 20 - 8)*(0 - 1 - 16*i + 11*i)*(-2 + 2 - i**2 + (5*i**2 - 18*i + 18*i)*(4 + 3 - 5)) in the form f + d*i**3 + o*i + y*i**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210642993 divided by -3.\nAnswer: -70214331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8328 = 11*q - 8*q. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -27. Calculate the smallest common multiple of 14 and r.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8043 is divided by 1606?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0670467901 rounded to 4 dps?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222*(-44)\/(-8954)*(-11)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -141, -1, 8, -3, 2 in increasing order.\nAnswer: -141, -3, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (-2 - 6 - (1 + -7) - -6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 569, 562, 553, 542, 529?\n\"Answer: -d**2 - 4*d + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqcctq. What is prob of sequence cctq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 36704784?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4990 - -4985. Let d be (5\/(-15))\/(1\/(-15)). What is the third biggest value in -0.4, w, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**4\/12 + 11*l**3\/2 + 211*l**2\/2 + 12*l - 2. Let y be u(-9). Is y less than or equal to -2\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/19))\/b)\/(b*b**(-2\/17)\/b*b) assuming b is positive.\nAnswer: b**(-319\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1\/(5\/20) - -6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 83.77?\nAnswer: 84.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 11:28 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 173?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddq when three letters picked without replacement from {d: 9, q: 3, m: 7}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -222. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 9, 1, -21, -63, -131?\n\"Answer: -i**3 + 2*i**2 + i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0151 - -0.0888. Round b to three decimal places.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -8)\/((-3)\/(-3)). Let d(l) = l. Let a(j) = 2*j. Calculate b*d(i) + 3*a(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by (2\/(-4))\/((-13)\/26) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 99\/(-18) - (-3)\/(-6). Is (-3 - -2)\/(o\/44052*2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17367382 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6552)\/(-980))\/13)\/(3*(-2)\/(-14))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(252) - (-1*sqrt(35) - sqrt(35) - sqrt(35))\/sqrt(5)) + -2.\nAnswer: -7 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 232*y**3 - 5964*y**4 - 5964*y**4 + 2*y + 2*y**2 + 11930*y**4 to the form n*y**2 + w*y**3 + m + u*y + d*y**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4533 + 507. Suppose 42*g - t = 38*g. Is 33 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 413 = s + 417, -3*i - 6*s + 80 = -7*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 3, m: 12}. What is prob of picking 2 u and 1 g?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -59 (c) 0.0321 (d) 0.11 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 5 + 10)*(d**4 - 2*d**4 + 3*d**4)*(-d + 0*d + 2*d).\nAnswer: 32*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 424 and 53224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4947462 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**33*c)\/c)\/(c\/c**(-28)) assuming c is positive.\nAnswer: c**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 108020 rounded to the nearest one thousand?\nAnswer: 108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -3\/4, -0.15, -0.32?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**7\/84 - b**6\/20 + b**5\/20 - 127*b. Solve k(s) = 0 for s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/(-153) - 68\/(-18). Solve -o*i + 3*i - 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -34*t**4 + 2*t**3 + 2*t + 29. Let z(v) = -32 + 0*v - 3*v**3 - 3*v + 61*v**4 + 3 - 26*v**4. Let b(o) = 3*c(o) + 2*z(o). Differentiate b(q) wrt q.\nAnswer: -128*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7)*(-492)\/(-164)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (403\/(-3) + (-76)\/114)*3. Let l = y - -1003. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23013 - 0?\nAnswer: 23013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 114384\/14813?\nAnswer: 114384\/14813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -8000.03.\nAnswer: -40000.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and -2 + (-20)\/(-3 - 1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3065*h + 6140*h - h**3 - 3065*h.\nAnswer: -h**3 + 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 50048346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 33\/(-12)) + 23\/92. Solve 5*l - 4 + 19 = d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (380\/(-20) - -1925)*(-10)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-25)\/1 - -2. Suppose 57 = 2*k - v. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133759159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q = 2*z + 22*q - 34, 0 = -z + 3*q + 19 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 7*f**2 - f - 8. Let h be k(-7). Let t = 938\/1325 + -46\/53. Which is bigger: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -223*j**2 + 687*j**2 - 228*j**2 + 16*j - 232*j**2 - j**3 - 32. Let c = 91 + -56. Calculate the remainder when c is divided by h(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.279 * 1352\nAnswer: -377.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-30) - (12\/9 - 116\/6)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 0*r + 6*o = 2*o + 123 - 141, -6*r - 3*o - 9 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110786215 and 1135.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4*a - 18, -b + a + 41 - 45 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 294*j*y**6 + 6*j*y + 2*j + 2*y**6 + 3*y**3 - 199*y**2 wrt y?\nAnswer: 35280*j*y**3 + 240*y**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -11*z**6\/120 + z**3 - 22*z**2. Find the first derivative of m(d) wrt d.\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8790 is divided by 1756.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/23240 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*d + 10. Suppose d = -5*w + 3*u + 1, 3*w + 2*u - 7 = 0. Let n = -1 + w. Solve -l + n = -4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-20)*(-3)\/(-9*1))\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -321424 + -33402?\nAnswer: -410331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28591*n = 28610*n - 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15230 and 4147129.\nAnswer: 41471290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-90) + 1\/3. Suppose 11*z + 3*w + 18 = 16*z, -z + 5*w = -30. Which is smaller: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of (-20)\/(-16) - 208458\/96*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 577 and 808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**8\/24 + w**4\/12 + 7*w**2. Find the second derivative of z(k) wrt k.\nAnswer: -280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000465469649 rounded to 7 decimal places?\nAnswer: -0.0004655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 20 = -32. Which is smaller: 51 or c?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**(-17)*y)*y\/y**(-17))\/(y**(-4\/7)\/y**(3\/16)) assuming y is positive.\nAnswer: y**(4005\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(209)*-1)\/sqrt(11))**2 + -4 + sqrt(2299)*2 + sqrt(2299).\nAnswer: 15 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 - 3*a**3 + 7*a**3 + (0*a - 2*a + a)*(-6*a**2 + 2 - 2).\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/62 or -4?\nAnswer: -5\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -930 times -4?\nAnswer: 3720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y - 12 = 0. Let s be (-2)\/y*(-126)\/28. Are s and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aafkenauauuu. What is prob of picking 1 u and 1 k?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36, 43, 60, 93, 148, 231, 348?\n\"Answer: h**3 - h**2 + 3*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (86\/18 - 3) + 4\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 1:51 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.20452 * -1.3\nAnswer: -1.565876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -655 + 164. Let o = -0.458427469 - 490.541255531. Let d = o - b. What is d rounded to 5 decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, 0.4, 411?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 259274 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 17*m**7\/70 + m**5\/12 - 140*m**2. What is the third derivative of g(h) wrt h?\nAnswer: 1224*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27989 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, b: 3, r: 4, t: 3, e: 5}. Give prob of picking 1 e and 1 t.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/41 in -0.1, -9, -7264, -0.2, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = 4*b + 4*f + 4216, 5*b - 2*f - 2631 = 0. Calculate the remainder when b is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -2 + 10197\/1573. Let r = i - 40\/11. Which is the second biggest value? (a) 0.5 (b) 2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 2 in increasing order.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(1836\/12)*-171.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14927 + 18729. What is the highest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77.1 + -57. Let j = k - 20. Which is the closest to -0.1? (a) -5 (b) 2\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*h - 1)*(5*h - h - 3*h) - 9*h**2 - 43*h + 43*h + 0*h + 0*h - 2*h**2 + (-5*h + h**2 + 5*h)*(-1 - 4 + 3).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 247 + 102. Let y = g + 31. Suppose y*k - 150 = -5*x - 59, x = -k + 47. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 3. Let g be r(0). Let l(u) = -u**2. Let s be l(g). Calculate the common denominator of s\/2 + 0\/(-1) and -9\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.094, 2, -3\/10, -0.32?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51261.\nAnswer: 3, 7, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19810755331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v + 15 = 0. Let h be (v\/(-10))\/((-1)\/(-10)). Suppose 2*b = -3*a + 2*a - 6, -a + 15 = -h*b. Solve a = -x + 2*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26\/27 in -14, -1\/5, 5, 2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 58 - 10)*(-4*n**2 - 4*n**2 - 2*n**2 + 2*n**2 - n**2 + 0*n**2 + (-2 + 0 + 0)*(-2*n**2 + 2 - 2)).\nAnswer: -455*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g - 1450 = -126*g + 7*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 7:53 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 10*r + 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*y**3 - 251 - 39*y**3 - 704*y**2 + 705*y**2 - y**4 as m + l*y**2 + k*y**4 + j*y + f*y**3 and give m.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((4 + (sqrt(80) + -1 + sqrt(80) + -1 - sqrt(80)))*-6 + 3))**2*-6.\nAnswer: -71064 - 10368*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(-4)\/g)\/g*g)*g**3)**(2\/27))**25 assuming g is positive.\nAnswer: g**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = x + 4, -x + 3*z = -6*x - 16. Let d be x\/5 + (-12)\/(-5). Differentiate o + 0 - 1 - d*o wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -3*h**7\/14 + 209*h**6\/10 + 4233*h**5\/20 + 2487*h**4\/4 + 796*h**3 + 456*h**2 - h + 444. Let a(x) = 0. What is x?\nAnswer: -4, -1, -1\/3, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 3\/4 (c) 57.24 (d) -0.1 (e) 0.2 (f) -44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -212220?\nAnswer: -212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 62 = h, 5*r = -5*h + 4*r - 321. Let f = -41 - h. Let g = f + -20. Solve j + g*j = -20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -30*l - 147. Let r(b) = -3*b**3 + 5*b**2 - 2*b. Let m(i) = 5*i**3 - 9*i**2 + 4*i. Calculate l*r(j) - 4*m(j).\nAnswer: j**3 + j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k, 12 = -p - 3*p + 5*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387, 543, 89, -1281, -3873, -7993?\nAnswer: -13947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32973 rounded to the nearest one hundred?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**4\/24 - z**3\/6 - 8*z**2. Let m be g(-4). Suppose m*s + 355 = 4*a, -5*a + 64 = -4*s - 380. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479033672 to the power of 1\/3, to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-3))\/(-1) - (-16 + (-2926)\/(-247)). Let r = 12 + -17. Put r, 0, -11, z in ascending order.\nAnswer: -11, r, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202220 + 220002012?\nAnswer: 210022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 243 = 2*v - 913, -3*c = 5*v - 1644. Is 33 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r - 88.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/7 and -1729499 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 4*h - 6. Suppose 0*m - 2*m = 12. Determine p(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/8 + 49*c**4\/8 + 317*c**3\/4 + 809*c**2\/4 + 1525*c\/8 + 493\/8.\nAnswer: (c + 1)**3*(c + 17)*(c + 29)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.417 + -0.117. Sort z, 0, -4\/3, 14\/15.\nAnswer: -4\/3, 0, z, 14\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 11581 (c) 8.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12320011300131 + 23?\nAnswer: -12320011300102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 11*j + 56. Let z(y) = -y**2 + 6*y - 28. Let r(h) = h**2 - 65*h + 1015. Let a be r(38). Determine a*z(g) - 6*d(g).\nAnswer: -g**2 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6037 - 6675 = -28*l. Let c = -256 + l. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 12*w + 7. What is the units digit of r(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a century in decades?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 36040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((1\/(-2))\/((-3)\/(-30)))\/(-5). Let j be 182\/(-78) + 3\/x. Suppose 3*s = 4*a - 9, -3*a + 2*a - 1 = -4*s. Put a, j, 0.2 in increasing order.\nAnswer: 0.2, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 342056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/8 of a second?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(720) + sqrt(720))\/(sqrt(484) - (sqrt(484)*1 - sqrt(484))) - (-3 + ((((3*sqrt(360) - sqrt(360)) + sqrt(360))\/sqrt(6))\/sqrt(12))**2)) + -3.\nAnswer: -45 + 12*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1266*s + 1885*s - 1020816 = 3452*s + 3839*s for s.\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 401.4836?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 1. Let i be (-4)\/(-6)*(-6)\/(-1). Suppose p*j = i*j - 8. Sort 2, 3, j in increasing order.\nAnswer: j, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 79492766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 3 = 25. Let x be -1 - (-78)\/84 - t\/7. Let -3\/2*s - 3\/2*s**2 - x*s**3 - 1\/2 = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320 = -0*x - 64*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -224608.\nAnswer: -224609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 - 75*h**2 - 224*h + 4186. Determine w(39).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o = -r + 13, -4*r = 5*o - 22. Let h(d) = -d - o*d + 5*d. Let u(y) = -3 + 3 + 3*y**2 - 2*y**2. What is u(h(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44057 - 5*t**3 + 44057.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2.9. Let n = -261.5 - -263. Let d = n + h. Which is smaller: 0.1 or d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*w + 8 = 0, -3*l + 4*w + 3 = -11. Let c(r) = -3*r - r + 2*r**l + 4*r. Let h(y) be the second derivative of y**3\/3 + 2*y. Give h(c(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3323 + -20001320?\nAnswer: -20011303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 20, -2*o + 0*o + 20 = 2*a. Calculate the greatest common divisor of o and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, -0.2, 4, -4, -2\/49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 23 + 177 = 0. Suppose -19*g - 10542 = -r*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -448666307 + 2?\nAnswer: -448666305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13992944 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3.2. Suppose 3*q - 4 - 4 = -2*d, -12 = -2*q - 3*d. Which is the second smallest value? (a) 2 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21 and 71?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1109817*d**4*q**2 - d*q**2 - 2218018*q**2 wrt d?\nAnswer: 4439268*d**3*q**2 - q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4979 (base 15) to base 3.\nAnswer: -210110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*g + 2 = 0, 2*z + 2 - 4 = -5*g. Let l(m) = -m**2 + 6*m + 3. Let f be l(z). Factor -3*n**2 - 5*n - f*n**2 + 5*n**3 + 2 - 3*n**2 + 7*n**4.\nAnswer: (n - 1)*(n + 1)**2*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 8246?\nAnswer: -8250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5}. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62730, 250900, 564508, 1003548, 1568014, 2257900, 3073200, 4013908?\nAnswer: 5080018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/(-66)*10\/(-4). Which is the nearest to 0? (a) x (b) 0.1 (c) 0.5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**3\/2 + 20775*a**2 + 249171*a\/2 - 145362 = 0.\nAnswer: -13844, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 24996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from rmbibmbsbmdrb.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5\/44, 3\/4, 4, 20, 2, 0.5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-3\/5))\/t*t)**(30\/11)\/((t**11*t)\/t)**(31\/2))**(-2\/99) assuming t is positive.\nAnswer: t**(3727\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -4, 0, 242 in increasing order.\nAnswer: -5, -4, 0, 4, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 5:43 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119112 divided by 4.\nAnswer: 29778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100111100001010 (base 2) to base 5.\nAnswer: -3144002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 133*j**2 - 169*j + 15552. Determine i(66).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 82*p**3 - p**2 + 1. Let q be l(1). Find the second derivative of 3*x - 29*x - 118*x**3 + q*x**3 wrt x.\nAnswer: -216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 2 (c) 2\/7 (d) -81 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2 + 357*y - 128. What is the remainder when 483 is divided by b(-72)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 10:15 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -276 (base 13) to base 9.\nAnswer: -533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.16 or 3?\nAnswer: 3.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 4*m - 2. Let v be w(-5). Suppose 12 + 48 = v*x. Calculate the lowest common multiple of 16 and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453546111.\nAnswer: 3, 17, 37, 240353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 767 and 1380600.\nAnswer: 1380600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1138, 2152, 2910, 3286, 3154, 2388?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 205?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 0.479 (b) -2\/39 (c) -258\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 21 + 9 = 0. Let j be (k\/10)\/(6\/20). Let s = -30.87 + 26.87. Which is the third smallest value? (a) -1 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 39*c = -204 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*k + 7 + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/715*22 + -1*(-78)\/15. Solve 21*p + 30 = t*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 4480?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 55.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 7*z - 7. Let p = 5 - -2. Let l be y(p). Let x = 18 + l. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.32 + 2.55. Let w = -4.1 - n. Round w to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 28*t - 17864 = 25*t, -o + 2*t = -8953. What are the prime factors of o?\nAnswer: 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 + j + 1. Let v(i) = 1208*i**2 - 6*i - 4. What is v(f) + 6*y(f)?\nAnswer: 1190*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23630 and 574600?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.3 + -7. Which is the second biggest value? (a) 3 (b) x (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 68 = -4*m, 27 = -5*m - y + 115 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171\/1537 + -42152\/972921. Find the common denominator of 4\/7 and t.\nAnswer: 4431","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/13 (b) 1\/7 (c) 1\/8 (d) 0.06 (e) 6\/29 (f) -1\/707\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 + 425\/(-125) - 4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 574608*z + 1723788.\nAnswer: 4*(z + 3)*(z + 143649)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1446035 grams in nanograms?\nAnswer: 144603500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzn when three letters picked without replacement from hzpmmzmmzpnhpmzmz.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*g + 1079 = -241 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2. Let i(s) = -33020032*s - 93038. Let y(w) = 4259*w + 12. Let b(c) = -6*i(c) - 46519*y(c). What is b(u(l))?\nAnswer: 8458*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017834 + -16?\nAnswer: -15.982166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (4 - (18 + (23 - 60)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, 12, 17, 18, 15, 8?\n\"Answer: -2*f**2 + 15*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8553.402ml?\nAnswer: 8.553402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 909 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikkaiikikiklkkakkiik. What is prob of picking 2 i, 1 k, and 1 l?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 + 28*p**2 - 48*p = 0.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 748 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 3*r + 3. Let z be n(3). Suppose 15*q - 18*q - 24 = 0. Let h = q + z. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11c900 (base 15) to base 11.\nAnswer: -532573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 28446 = -s + 28463, 15*s = 5*m + 55 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3329 - -3325. Let k = 10\/17 - -38\/51. What is the closest to -1 in -14, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 4*y - 1. Let w(p) = -4*p**3 - 12*p**2 + 16*p + 5. Let t(k) = -4*g(k) - w(k). Let c(b) = 2*b**3 + 2*b**2. Determine -5*c(u) + 3*t(u).\nAnswer: 2*u**3 + 2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbm when three letters picked without replacement from llbmllflcllmllbfclmb.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 13*m**2 - 16*m + 4. What is z(14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 93*l + 5578. Determine f(-60).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 207 and 115.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2598 - 2598.0027292. What is g rounded to 4 decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*h + 110*h - 3053*h**3 + 3242*h**3 wrt h?\nAnswer: 1134*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (6 - -17) - -12 - -3\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 358231 greater than or equal to 358232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37213905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*d + 112*d - 245*d - 4380 = 298*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -183.2 + 229. Let a = 43 - i. Sort 4, a, 2\/13, 0.2 in increasing order.\nAnswer: a, 2\/13, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 = -4*x - 13. Suppose -2*n - 3*v = -33, 3*v = -4*n - n + x. Find the second derivative of 33*c + 17*c**2 + n*c - 31*c wrt c.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 1752\/(-120) - (-6)\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 + 18 = 0. Let f(d) = d**2 - i*d**2 + d**2. Let z(m) = -7*m. Determine f(z(w)).\nAnswer: -98*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/29))\/(l**10\/l))**(8\/9) assuming l is positive.\nAnswer: l**(-208\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 5*s + 2*s**2 - 18)*(s + 4*s - 3*s).\nAnswer: 4*s**3 - 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 10) in base 6?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 0.01.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 74039.82 millennia in years?\nAnswer: 74039820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.1 (b) 2850 (c) -25 (d) -1.5 (e) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 4:54 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 14*i + 11. Let d(l) = -69*l - 55. Let u(o) = 2*d(o) + 11*y(o). Does 20 divide u(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 7. Let k be 14\/w - (1 - 1). What is the third derivative of -2*y**3 + 0*y**k + 3*y**2 + 3*y**2 - 3*y**2 wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -9. Let f(v) = -v - 3. Let b be f(-4). Let u be 4\/(-4)*-1*b. What is the second smallest value in n, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*(-2594)\/(-27237)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066396\/55 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-160)*-8)\/(448\/560).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 24. Suppose -4*k + 2*k = -t. Calculate the remainder when 32 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*u - 43. Solve 2*o - 6*o = -u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 1, b: 3, s: 2, d: 3, i: 1}. What is prob of picking 1 v and 1 j?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3145*l - 241*l + 3615*l.\nAnswer: 6519*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-230)\/30 - (-7)\/1. Let i = -12\/59 - -110\/1121. Sort -2, k, i in descending order.\nAnswer: i, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 30*w - 756 = -39*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 1, 1\/3, 86\/7, 4, 1\/4, -25 in ascending order.\nAnswer: -25, 1\/4, 1\/3, 0.9, 1, 4, 86\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -165549.6 at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r**3 + 4*r**3 - 2*r**3)*(-r - 114 + 19 + 0) in the form w*r + o + u*r**3 + h*r**2 + b*r**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40*o - 147 - 33*o + 39*o - 8*o - 75*o wrt o?\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204714*p - 62841*p - 4 + 4.\nAnswer: -267555*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -4*y. Suppose y = 4*t - 27. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 118 = -34. Let f = 11 + -21. What is the remainder when h is divided by f*2\/(8\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 112 - 14)*(-2*x**4 - x**4 + 4*x**4)*(-3 + 4 - 5 + (3 - 2 - 2)*(2 - 5 + 1)).\nAnswer: 294*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*o + 3*r + 137, -66 = -o + r. Let z(a) = 78*a**2 + 227*a - 16. Let c be z(-3). Solve c*f + o = 36 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5491000 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-6)\/(-12)*18\/15). Put -10, b, 0.067 in increasing order.\nAnswer: -10, 0.067, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 1 + 116*k**3 - 102*k**3 - 40*k wrt k?\nAnswer: 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f = -25*f - 126. Let v = f - 10. What is the greatest common factor of v and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18\/(-72)*12340*4\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ddeeded?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 11 = -3. Let f(j) = 3*j**y - 6*j - 4*j**2 - j - 3. Give f(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/14 (b) -0.8 (c) -16 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2448964, -2448948, -2448932, -2448916, -2448900, -2448884?\nAnswer: -2448868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.58 + -3. Let x = -1.98 + p. Let w = x - -0.4. Which is smaller: w or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + q. Let i be w(-2). Suppose -i*j + 4*c + 40 = 8*c, 0 = -2*j + 3*c + 54. Calculate the remainder when 92 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4110, -4105, -4098, -4089, -4078?\nAnswer: -4065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*m*u**3 + 2*m*u**2 + m*y - 154*m - 34*u**2*y + y - 2 wrt u?\nAnswer: -12*m*u**2 + 4*m*u - 68*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-19)\/(-2))\/(1\/4) and 59\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -1 - (-15 + 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6*c - 5 = -n, -3*n + 9 = -3*c. Let s be 3\/3 + 1*c. Solve s = -2*y - y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**4\/3 - 17*g. Let i(b) = 16*b. Determine i(x(n)).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*m - 54. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 7, j: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*j + 6096, -2*m + 3*j - 67 = -4126. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 0.1, 139, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 775, 843, 961, 1123, 1323?\nAnswer: 1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107939\/24 - -4502. Calculate the common denominator of (-45)\/24*(-2 - 22\/(-20)) and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**6\/40 + 2*h**5\/5 + h**4\/2 - 16*h**3 + 587*h**2 - h. Suppose m(t) = 0. Calculate t.\nAnswer: -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4, -4*g + 3*z - 33 = 45. Let m(y) = -y**3 - 14*y**2 + 50*y + 20. Is 23 a factor of m(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2398*g**6 + 357*g**4*v**2 + 9*g**2*v**2 - 2*g*v**2 - 18563 wrt g.\nAnswer: -287760*g**3 + 8568*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 60204.16l?\nAnswer: 60204160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/11 - ((-472)\/308 - 3) and 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + -14 - -15) - (10 + -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 11011000?\nAnswer: 11010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1167 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (102\/(-21) - -4)*-7 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/49 and -67\/40712.\nAnswer: 284984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 12:13 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 6142, 2, -1, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v. Let g(k) = -336*k**2 + 0*k + 353*k**2 + 0*k. Calculate g(c(b)).\nAnswer: 68*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-7)\/(-35)*15\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2002 (base 5) to base 14\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -7. Let o be 65\/(-3 - -8)*d. What is the third derivative of -o*p**2 + 63*p**4 + 14*p**6 - 29*p**4 - 34*p**4 wrt p?\nAnswer: 1680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80.1 - -78. Let l = -1.8 - h. Sort -3, 1, 4, l in increasing order.\nAnswer: -3, l, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*sqrt(144)\/sqrt(4))\/(sqrt(12) - sqrt(432)*-2).\nAnswer: 16*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(27) + 0)*6 + 1)*5)**2 + (sqrt(36) - (sqrt(36) - (2*sqrt(396))\/sqrt(11)))\/(1*-3*sqrt(12)).\nAnswer: 2698*sqrt(3)\/3 + 24325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/6 - 36\/(-8). Suppose 9*h = 8*h - 2*z + 12, t*h = 3*z + 70. What is the greatest common divisor of h and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 346 - 346. Let y(g) = g**2 - g + 3. Let m be y(0). Solve -3*c = -3*a - 3, f = m*c - c - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 4*d**2 - 3*d + 2. Let u be q(5). Let y = u - 12. Suppose -5*c - 165 + 2750 = y. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -12*r + 66 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11564 + 57817\/5. Which is the closest to 0? (a) -3\/7 (b) x (c) 67 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + b, -4*b = -0*x + x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-131256)\/(-54))\/((-270)\/5) + 45\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2037 + 2010. Is d greater than 156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**3\/3 + 7*n**2\/2 - 2*n - 132. Calculate z(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -3*j**4\/8 + 3*j**3\/2 + 3*j**2\/4 - 9*j\/2 - 324. Factor u(c).\nAnswer: -3*(c - 3)*(c - 1)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) - (-358)\/6. Suppose -4*n - 14 = -402. Suppose -2*m - 66 = -3*i + n, -i - 4*m = -h. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56\/20 + 2\/10. Suppose 0 = 5*d - x - 260, r*d - d + 2*x - 92 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3554165 (base 10) in base 12?\nAnswer: -1234985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Suppose 3*n - 3*z = 18, -4*n + w*z + 28 = -3*z. Suppose -3*f + 0*f - 9 = 0, -5*a - 6 = n*f. Solve 0*i - 3*i = 4*m + 5, a = i - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m - 44*m + 125 = 0. Suppose 0 = -5*q - 3*w + 15, m = 5*q + w + 10. What is the remainder when 19 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886107.\nAnswer: 3, 53, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 5 + 0 + sqrt(162))*-5.\nAnswer: -90*sqrt(2) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 + 40 - 13 - 3313*h + 3)*(-3 + 3 - 2*h) to the form k*h + y*h**2 + z and give y.\nAnswer: 6626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 35 = -5*x, 10*x = 9*x + y. Let u(d) = 2*d**3 - d + 1. Let p be u(1). Suppose x*j - 269 = p*k - 7, -2*j - 4*k + 124 = 0. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673282.\nAnswer: 2, 13, 139, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68633.\nAnswer: 68633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*s**2 - 20*s**2 + 33*s**2 + (1 - 2*s - 1)*(-s + 4*s - 8 + 7) in the form c*s + o + b*s**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.1 (b) -4 (c) -587 (d) 0.085\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 110 = 0. What is the smallest common multiple of 2 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 419*b**3\/6 + 1119*b. Let q(j) = j**2. Give u(q(v)).\nAnswer: 419*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6682915131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20708696?\nAnswer: 2, 269, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.049 and -0.01?\nAnswer: 0.03049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -32.16. Let o = b + 0. Let a = -0.47 - o. Is 2\/5 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1365.1687914 to 2 decimal places.\nAnswer: 1365.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181195 + 333558. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.101 + 2.100998391. Round b to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3169 divided by 7295\nAnswer: -3169\/7295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2201 = 2*q + 399. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/150913428 and -83\/188.\nAnswer: 150913428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -34. Suppose 0*r + g*r - 166 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 10) to base 6.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1424592, 1424596, 1424604, 1424616, 1424632?\nAnswer: 1424652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12273 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*u - 12714 = 59*u + 26760 - 2174 for u.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23\/2 - 12. Sort -1, p, 0.9 in ascending order.\nAnswer: -1, p, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-8))\/((-3)\/2). Let q = 652.7 + -652.4. Sort q, j, -1\/3, 0.09.\nAnswer: -1\/3, 0.09, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -4*z - 7*z. Let s = z - 19. Solve v = 2*i - 2, i + 5*v - s = -0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/6)\/((-1332)\/296))\/((-72)\/81).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 - 8 + 4 + 0*s + 0*s - s to the form x*s + z + o*s**3 + k*s**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-32))\/(((-78)\/6)\/(-104)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -3*t**3 + 15*t**2\/2 - 2*t. Find the first derivative of c(m) wrt m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/675 and -47\/60.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -75. Factor -1 + 5\/2*f**4 - 7\/2*f + 7\/2*f**a - 3\/2*f**2.\nAnswer: (f - 1)*(f + 1)**2*(5*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 11 (c) -6 (d) -559\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 28*x - 624. Let n be t(26). Which is the third smallest value? (a) -2\/131 (b) -0.4 (c) n (d) -3 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19317 and 19279 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168995455 to the nearest integer?\nAnswer: 13000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:23 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 40*s**3 + 1121*s**2 + 28*s - 3. Give x(-28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1268\/9285 + 2\/619. Which is the nearest to -1? (a) 0 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -883 (base 9) to base 12\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*8\/(-16)*2)\/30?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 plus 1143792405.27?\nAnswer: 1143792435.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(10)\/sqrt(2) - (sqrt(405) + (0 + sqrt(405))**2).\nAnswer: -405 - 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43725 and 294.\nAnswer: 4285050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.521 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 2*x - 20, 3*t - 12887*x = -12889*x + 16 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -81.679 and -3?\nAnswer: 245.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 197, 356, 605, 950, 1397, 1952, 2621?\nAnswer: 3410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - x + 190 + 63 = 0, -5*i - 2*x + 632 = 0. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 61336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 45*a + 651837000 = 13*a. What is a rounded to the nearest one hundred thousand?\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30473 divided by -26?\nAnswer: 30473\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 85*l - 90*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7811, 7845, 7883, 7925?\nAnswer: 7971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, p: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 0 - 37*h + 26*h**2 - 12*h**2 - 16*h**2 in the form f*h**2 + l + o*h and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 54\/5 of a decade?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-12)*(-164)\/492*20\/(-26)*-2\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 623 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/(-135) - (-2)\/9)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1568452 (base 10) to base 6\nAnswer: -53341204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9969945\/8 - 1243442. Let y = -2795 + a. Let c = 922\/159 - 10\/477. Find the common denominator of y and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {q: 3, e: 12}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ewfewkeokkeooo?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 528 and 146256.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(4\/(-12) - 19\/(-66)). Which is smaller: i or 11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 2*p + 3. Calculate the remainder when n(-2) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 + (4 + (40 - 45) - -16).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 406*r**3 - 687*r**2 + 2*r + 6. Let d(u) = -407*u**3 + 686*u**2 - 3*u - 9. Let n(m) = 3*c(m) + 2*d(m). Find the third derivative of n(i) wrt i.\nAnswer: 2424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from {i: 10, v: 2, u: 1, w: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 990 and 9681705.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 76. Let m(d) = 3*d**3 - 10*d**2 - 15*d + 10. What are the prime factors of m(k)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 134\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73, -142, -221, -316, -433, -578, -757?\n\"Answer: -g**3 + g**2 - 65*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 + 101*o - 148. Give z(49).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, 36, 48, 60?\n\"Answer: 12*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14702*p - 55516 - 147124 - 224527 = 131509 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -28930*y + 231493. What is h(8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 418116 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.782391s in milliseconds?\nAnswer: 6782.391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -321.0315 + 321. Let c = b + 0.1315. Let g = -0.4 - 0.1. What is the second smallest value in g, 7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-28))\/((-1)\/10). Sort -3, 4, 7, u in increasing order.\nAnswer: u, -3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -108. Let b = c - -45. Find the first derivative of 1 + 8 + 13*x - b + 9*x wrt x.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**5\/8 - 321*h**4\/2 + 347433*h**3\/8 + 1929*h**2\/4 - 129963*h - 86856 = 0.\nAnswer: -616, -1, 2, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)\/p**(2\/17))**(-2\/33) assuming p is positive.\nAnswer: p**(344\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 c when three letters picked without replacement from cqjbzccc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14227 + -7758. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 1. Let l be j(-3). Let u(p) = -8*p + 3. List the prime factors of u(l).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4*6\/(-9). Let j be (k\/(-2))\/(3\/(-36)). Let h(a) be the first derivative of a**2 + 4*a + 29. What is h(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 3)*9*3. Suppose 5*t + n = -k, -8*t = -3*t + 4*n + 18. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**3 - 5*p**2. Let h be ((-4)\/6)\/(6\/(-45)). Let x = -7 - -10. Let l(q) = 0*q**2 - 5*q**2 + x*q**2 - 5*q**3 - 4*q**2. Calculate h*l(o) - 6*z(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 257, -0.4, -258 in descending order.\nAnswer: 257, -0.4, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-2*j - j + 10*j).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -115\/1758 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 i when three letters picked without replacement from kiikkikikiiikkijiiii.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 + 266*g + 268 = 0.\nAnswer: -1, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15129499 is divided by 840527.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 4*t**3 - 12 + 112*t**2 - 112*t**2 + 33*t to the form s*t + q*t**2 + r*t**3 + m and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/27)*u*u)\/(u\/((u*u*u\/u**(-36)*u)\/u))*(u\/(u**(-2\/87)*u))\/u**(-2\/25) assuming u is positive.\nAnswer: u**(803866\/19575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*t**2 + 485*t**2 - 880*t**2 + 2*t in the form f*t**2 + g*t + w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = 0, -3*g - 2*y + 8 = -0*y. Let o(t) = g*t - 6 - t + 2. Determine o(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 10*s - 6. Let g be d(-9). Let n(j) = 2*j. Let h be n(g). Let t = 101 + h. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -86, 0, 4, 55, 12 in descending order.\nAnswer: 55, 12, 5, 4, 0, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224.1059808889984 - -24692934.9940190210016. Let n = y + -24693159. Let b = n - 0.1. Round b to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.4, 2, 6, -6, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6626 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(11) + 3 + sqrt(11))**2 + 2 + -4 + (-6*sqrt(66)*1)\/sqrt(6)).\nAnswer: 12*sqrt(11) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*t - 1725 - 2004 - 951 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 4*k - k + 6*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43950 or -43949?\nAnswer: -43950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1424 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 + 2*g - 2*g - 2*g**3 + 1 - 1 + (-22*g**3 - 10*g**3 - 41*g**3)*(-2 + 1 - 1).\nAnswer: 147*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/8 and 4\/(-192)*-115 - 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 - 123. Let d(n) = 3*n**3 + 2*n**2 - 3*n + 1. Let u be d(3). Let t = r + u. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91236553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 a factor of 15421464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 111.5.\nAnswer: 11.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10110 (base 3) to base 10\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72278101 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/(-10) + 6\/10. Let j = o - -3. Let p = 6 - -1. What is the highest common factor of j and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77674 (base 9) to base 10\nAnswer: 51583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = 45*k - 644. Suppose -5*m - 26*c + 290 = -k*c, 4*m - 4*c = 200. Calculate the remainder when m is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49709\/86 + -578. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m - 3 + 3)*(-m**2 - 2*m**2 + 2*m**2) + m**3 - 4*m**3 + m**3)*(-12*m + 18*m + 23*m)*(-20*m - 23 + 16 + 9).\nAnswer: 2320*m**5 - 232*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a**2 - 35*a + 2. Determine h(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.1458 and 0.394078.\nAnswer: 3.539878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*sqrt(171)*3.\nAnswer: -45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4554, 17751, 39422, 69561, 108162, 155219?\nAnswer: 210726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + -2. Is n greater than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132018079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -86\/7*j**2 - 2\/7*j**3 - 82\/7 - 166\/7*j.\nAnswer: -2*(j + 1)**2*(j + 41)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86\/3 + 278\/(-417)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*30710352\nAnswer: 21497246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 2*m + 2. Let z(g) = -g**2 + 2*g - 1. Let x = -4 + 8. Suppose -x*w + 0 = -16. Let y(o) = w*p(o) + 5*z(o). What is y(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 13 - 11 = 4*s, 5*k + 3*s = 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1200 divided by -300\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 173*l**2 + 29*l + 5618. Calculate z(87).\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*t**3 + 83*t**3 - 82*t**3 + 94*t**3 + 62*t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 38370091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, -11, -1, -26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47488*q = -47669*q + 5973 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3649 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from nnxnxnnxnnnxnnnnnn.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -41*h**3 - 44*h + 6. Let o(d) = d**3 + 10*d - 1. What is l(q) + 6*o(q)?\nAnswer: -35*q**3 + 16*q","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l + 1. Let a(j) = 0*j + 1 + 5*j + 2*j. Suppose -4*g + 28 - 2 = 2*o, 2*o = -2*g + 16. Let h(u) = g*c(u) - 3*a(u). Determine h(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 538, 6 in decreasing order.\nAnswer: 538, 6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 168*w**4 - 2*w**3 - 367 wrt w.\nAnswer: 672*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/44 and 31\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24859.\nAnswer: 24859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -j - 3*x + 4, -2*j - 3*x + 8 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2467209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 26) + 2 + -2 + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -26. Let o = -104 - -103. Which is greater: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2465*g**2 - 232*g + 232. Suppose 51*s - 1080 = 105*s + 162*s. Let f(t) = 53*t**2 - 5*t + 5. Calculate s*c(v) + 232*f(v).\nAnswer: -29*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100350414 (base 6) to base 8.\nAnswer: 6413012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(90\/293235) + 6?\nAnswer: 5, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**2\/3 - 4303*u\/3 - 52864 = 0.\nAnswer: -177\/5, 896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2.5. Let s = 4 + -6. Let u = -96633\/319 - -8769\/29. What is the fourth smallest value in q, s, u, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283917381 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -8. What is the nearest to i in -0.5, 0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7009666327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39429*h*j**3*s**2 - 91*h*j**2*s**3 - 2*h*j*s - 159*h*s - j**3*s**3 wrt j.\nAnswer: 236574*h*s**2 - 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 471 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/100980795 and -19\/165.\nAnswer: 1110788745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/12 + 25\/6. Suppose -1 = m - a. Solve -7*f + 4*s = -m*f - 8, -5*f = s - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwgf when four letters picked without replacement from zwnfzggffwgkkkw?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4043596, -16174371, -36392338, -64697503, -101089872, -145569451, -198136246?\nAnswer: -258790263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -119c - 3?\nAnswer: -11a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6577576 at least 6577626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57371*n**4 + 2*n**3 + 65*n**2 - 425*n wrt n?\nAnswer: 1376904*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 827\/(-3) - (-2)\/3 - -3. Let v = 2169\/8 + o. Is v greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 7037 (c) 3 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-three fifths of a century?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**4 - 1008*i**3 + 19804*i**2 - 36576*i + 17782 = 0.\nAnswer: -523, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 5*y = -4. Suppose -2*l + 6 = -y*p, 9 = 4*l - 5*p - 6. Suppose 5*i = -l*n + 55, -3*n + 3*i + 2 = -1. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -24\/11 (c) 7075\/38 (d) -2\/9 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/33 - (-700)\/(-110)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = 3*t. Let x(w) = w**2 + 13*w + 18. Let d be x(-12). Let m = 2 - d. Sort 2, t, m in descending order.\nAnswer: 2, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 275338 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a millennium in months?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12851 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -272*a**5 + 14228*a**4 + 58380*a**3 - 118520*a**2 - 124768*a + 37632 = 0. Calculate a.\nAnswer: -84\/17, -1, 1\/4, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2584 divided by -1292.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*b, -4*b - 17*s + 15*s = 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -5*x + 2. Let y(t) = -141*t. Let f be y(x). Suppose -4*z + f = 5*m - 407, -5*m + 697 = 2*z. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1730 is divided by 854.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06757 to three decimal places.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (11 - 8) - -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 11\/(-4))*(-528)\/(-99). Suppose r - 19*q + j*q = -1, -5*r = q - 7. Solve t - 2 = a - 2*a, -5*a - r*t + 10 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**2 - 12*m - 3. Let o(b) = 6*b - 6. Let s be o(-4). Let z be 11\/(-3)*s\/10. Let d be t(z). Round d to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 9*b + 35 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 870789877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(2)*3 + -4 + sqrt(8)\/sqrt(4) + -4 + -1 + sqrt(2) + -1 + (sqrt(256) - sqrt(16))\/sqrt(8).\nAnswer: -10 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -431 (c) 0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**2 - 1178. Let d(z) = 107*z**2. Determine d(i(u)).\nAnswer: 428*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 59 = 15. Let v = -8 - g. Let o(u) = 3*u - v*u + 4*u - u. Let m(d) = -2*d. What is m(o(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -105, 0.5, -0.4, -0.1936?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -23*g + 19. Let o(x) = 28*x**2 - 502*x. Calculate r(o(l)).\nAnswer: -644*l**2 + 11546*l + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 35*x + 51*x - 50*x - 56*x.\nAnswer: 2*x**2 - 90*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4324961 - -110?\nAnswer: 4325071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n - 26. Let s be y(5). Suppose -10*p + 4 = -s*p. Let d(r) = -5. Let g(c) = c + 1. Calculate p*d(q) - 4*g(q).\nAnswer: -4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -37.5. Let h = 0.9 + 1.1. What is the closest to h in j, 0.4, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 9 - 6 + (3 + 0 - 2)*(-3 - 2 + 4))*(3052*h - 735*h - 998*h).\nAnswer: 2638*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*r**4 - 2*r**3 + 311*r**2?\nAnswer: 336*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3575*n**4 + 16385 wrt n?\nAnswer: 14300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisysmtmsuyuity. What is prob of sequence ystm?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0212 take away 1993.39?\nAnswer: -1993.3688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, f: 6}. Give prob of picking 1 q and 2 f.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1594 = -3*y - 572, m + 3*y - 718 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 272267 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Let c be (-34)\/12 - (-35)\/14. Is c >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-11)*k*k**1*k assuming k is positive.\nAnswer: k**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from wnkplhl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.2 - 9.6. Let h = 0.01 + -0.41. Let b = h - -2.4. Sort -0.3, b, y in decreasing order.\nAnswer: b, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 137.\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, -4, -7, -14, -25?\n\"Answer: -2*m**2 + 7*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51166 + -51163.9479. Let t = 0.0421 - f. Let j = 0.01 + t. Is j not equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110221212 (base 3) to base 2\nAnswer: -10010011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 17 + 7*v**2 + 4*v + 4*v**2 + 13*v. Let b(a) = -a**3 + 6*a**2 + 2*a - 1. Let k be b(5). Let l(y) = -2*y**2 - 3*y - 3. Give k*l(o) + 6*i(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a1c9 (base 15) in base 7?\nAnswer: 6513345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = v - 7, -5*a + 4*v + 12 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 8*s**2 - 8*s - 9. Let t be j(9). Let m = t - 2. Which is the closest to -1? (a) -0.1 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 6\/4 + (-975)\/26. Let i = x + 62. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2. Suppose -d*v - 4 = -4*v. Suppose -12*f + 37*f - 125 = 0. Put f, v, -0.1, -2\/5 in increasing order.\nAnswer: -2\/5, -0.1, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 2*r - 2. Give g(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12450, 27133, 41816?\nAnswer: 56499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10329041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15665 + -15665. Let c(k) be the third derivative of 0*k**3 - 13\/24*k**4 + 0 + p*k - 29*k**2. Let z(u) = -2*u**2. Calculate z(c(v)).\nAnswer: -338*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3}. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078)*-3 + 1*sqrt(22)*2)\/((sqrt(432) - (sqrt(432) - ((sqrt(432) - (sqrt(432)*-2 - sqrt(432))) + sqrt(432))))\/(sqrt(96)*2 - sqrt(96))).\nAnswer: -38*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1980 and 8787735?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-176)\/(-40) - (-2)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26205418 to the power of 1\/2, to the nearest integer?\nAnswer: 5119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81578 + -81611. Let p = 55 + -88. Is y smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1)\/(6\/138). Let v = 41 + f. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019579396 to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5811393400 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 14*j**2 + 83599*j - 167244. Give m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 25. Let p be 3*1*r\/(-6). Suppose 27*y - 34*y - 21 = 0. Is p at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.095 - 0.1?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1078 divided by 12\nAnswer: 539\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1797224.\nAnswer: 2, 11, 13, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -2. Let w = 5 - k. Suppose -g + 2*g - w = 0. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3253093 minus -496.6582?\nAnswer: -3252596.3418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/102*(-180)\/195.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000142864962 to 7 dps.\nAnswer: -0.0001429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k - 19. Let z(x) = 16*x - 38. Let f(a) = 5*c(a) - 3*z(a). Let o be f(4). Which is bigger: o or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*l - 2330, -r - 6*l = -10*l - 593. Is 62 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(378\/(-12)) + (660\/(-279) - -3).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hinvhkhkhnhchh. What is prob of sequence nicc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - 45) + 28 + 9?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 0*j**2 + 4\/3*j**3 + 3 + 0*j. Let h(b) = -b. Calculate k(h(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 1:03 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*p + 304940 + 9*p**2 - 304940 - 42*p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -4110, -0.3, -8\/3, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - s. Suppose s = 7*d - 5*d - 8. Let a = d - 1. Which is greater: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63523 is divided by 7003.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z + 20 + 184 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -2\/7, -3, 0.05, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 133901089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000427 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(640) + sqrt(640)*-2)\/(sqrt(405)*-3).\nAnswer: -32*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*s**2 + 2\/3 + 8\/9*s.\nAnswer: 2*(s + 1)*(s + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180643948*y - y**2 + 180643948*y - 15*y**3.\nAnswer: -15*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 11*p - p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7ab (base 12) to base 8.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*m + 2 = -m, 3*i - 6 = -3*m. Let h be (8\/10)\/(i\/15). Suppose r - h = -2*d, -4*r = -2*d - 2*r + 12. Which is bigger: d or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 376022819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -98306168383 plus 1002?\nAnswer: -98306167381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 2*o - 1. What is the remainder when (3 - 1)*(-82)\/(-4) is divided by u(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -20 in ascending order.\nAnswer: -20, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 126 = -5*g, 0 = -68*g + 67*g + 4. Which is smaller: 4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s + 28 = 56. Solve -9*k = -s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(14\/5))\/o)\/o**(-9\/2))**(2\/157) assuming o is positive.\nAnswer: o**(17\/785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42742035.\nAnswer: 3, 5, 7, 47, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -69*w - 45. Determine d(2).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -3. Solve 0 = -0*m + v*m - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/3))**(6\/29))**(2\/25) assuming m is positive.\nAnswer: m**(4\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41685332 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: Which is smaller: 1 or -2\/3573467?\nAnswer: -2\/3573467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from jkmjqkjmrjk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2. Let y = -20 - -22. Let a(o) = 10*o**2 - 22*o**y + 14*o**2. Calculate a(p(i)).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 4385\/4333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = -3*j. Suppose -17 = 2*a - 3*b, 2*a = 5*b - 0*b - 27. Is a at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2737487 is divided by 749.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 248183243 = 65393243. Round m to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3336883.6826 and 2989.3?\nAnswer: 3339872.9826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8802 - 1039. What is the least common multiple of m and 56?\nAnswer: 62104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845875?\nAnswer: 5, 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 126078, 126061, 126044, 126027, 126010, 125993?\n\"Answer: -17*p + 126095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**4\/12 + 2*m**3\/3 + 3*m**2\/2 + 8*m. Factor k(y).\nAnswer: (y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4422 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*o + 1, 0 = -2*q + 3*o + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19 + 5.19. Let u = r + -4.9795. Round u to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17726 is divided by 522.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 953*d + 941*d - 1895*d.\nAnswer: -d - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5307361698 to the nearest integer?\nAnswer: 72852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -133353*r + 45978 wrt r?\nAnswer: -133353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 4:24 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 20 - 0. Suppose 36 = h + 28. Suppose 0*s - y = 5*s, 0 = 2*a - s - h. Solve 9 = -2*d - 5*x, -d + a*x = 3*x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (17 - 6 - (20 + -20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 504 - 3522\/7. Let g(l) be the first derivative of -9 + 2\/21*l**3 + y*l**2 + 18\/7*l. Factor g(o).\nAnswer: 2*(o + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 690 and 930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -11, -6, -1, 4?\n\"Answer: 5*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 8*g**2 - 11*g - 1. Determine r(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.30126 minutes in hours?\nAnswer: 4.355021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4611472 is divided by 2941?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 34*r + 258. Determine k(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 13*r + 955. Give u(-80).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*d - 4*z = 30*d + 19, -d - 9*z - 33 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**3 + 4*u**2 - 21*u + 14. Determine j(-5).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqgtgwci. Give prob of picking 1 g and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17376 and 167145?\nAnswer: 968103840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 4*m**2 + 5*m - 2. Let o = -13 + 13. Suppose -2*p - p + 2*c + 23 = o, -2*c = -5*p + 33. Determine l(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39337933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-15))\/(3 - (-16)\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, s: 4, g: 6, a: 1, c: 1}. Give prob of picking 1 s and 1 c.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-96)*-4*(-2)\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -195762*b**3*g**2 - 2*b**3 + 5*b**2*g + 18*b*g + b - 29 wrt g.\nAnswer: -391524*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 476, 831, 1320, 1943?\nAnswer: 2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 102 in -0.1, 17, -3, 8, -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -109. Let k be 87\/l + 4\/(-14). Let r = -156 + 158. What is the nearest to 4 in 2\/13, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833817593?\nAnswer: 7, 89, 1338391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from kkokvsddsosddox?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101 + 10001001101101001000?\nAnswer: 10001001101100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16185435 a multiple of 642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-22)*k)\/(k*k**(4\/7)))\/(k**(3\/8)*(k\/(k**(-1\/7)*k))\/k) assuming k is positive.\nAnswer: k**(-1237\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 90*u**2 - 395*u**2 + 0*u + 95*u**2 + 99*u**2 + 87*u**2.\nAnswer: -24*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011100100101 - -10001000111?\nAnswer: -110001011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -220*o**3 + 186*o**2 - 576*o\/11 + 54\/11 = 0. Calculate o.\nAnswer: 3\/11, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -138*x**4 + x**3 - 4*x**2 - 2*x - 159. Let c(h) = 276*h**4 - 3*h**3 + 10*h**2 + 5*h + 319. Let w(f) = -2*c(f) - 5*i(f). Differentiate w(o) wrt o.\nAnswer: 552*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 178 = 2*o - 175, o + 3*c + 24 = -c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179 or -224?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*m**3 - 3*m**2 + 86?\nAnswer: 72*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 442054 to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s**2. Suppose 5*w + 3 = -4*r, -w - 5 = 4*r + 2. Let l(z) = z**3. Let i(x) = w*a(x) + 3*l(x). Let i(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 357*s**2 - 1061*s - 1421. Calculate i(354).\nAnswer: -1067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.8 - -12. Put c, -8\/17, 4, 1\/6 in increasing order.\nAnswer: -8\/17, 1\/6, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -386*r. Let w be u(0). Solve 0 = 3*t - 39*z + 35*z - 19, 5*z + 20 = w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 8 - 5*l - 19 as i + d*l and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a - 4. Suppose -5*s - a*i + 2 + 78 = 0, -5*s - i = -65. Let w = 27 - s. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyh when three letters picked without replacement from yhhzhhvjhvyyjhjzj.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2035733?\nAnswer: 7, 17, 17107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*p + 3 = -10*p, -5*z = -2*p - 12. Suppose -4*s - 36 = -5*o, -z*o = -0*o - 5*s - 28. Suppose 5*c = 13*c - 8. Sort o, -10, c in descending order.\nAnswer: o, c, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.441843429 - -0.023863?\nAnswer: 0.465706429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 0*y**4 + 1\/39*y**3 + 8*y + 0 + 0*y**2 - 1\/130*y**5. Solve m(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77.701524 + 77.7. Round d to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -34930645 divided by -34930645?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418 = -718286*a + 718308*a for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**41\/m)\/(m\/m**(2\/29)) assuming m is positive.\nAnswer: m**(1133\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and -1 + (-20)\/(-1) + (20 - (-3 - -24)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i + 3. Let q(o) = -13*o - 42. Calculate 3*d(r) + q(r).\nAnswer: -4*r - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 189056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 34 = 5*y - 3*v - 4*v, 2*v = 173*y + v + 1034 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -4, 95003, -3 in ascending order.\nAnswer: -5, -4, -3, 3, 95003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**2\/2 + 31. What is h(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 31*g - 29*g - 2*g + 12*g.\nAnswer: -3*g**2 - 50*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/16*-6*(-8)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/9600776 and 43\/867540?\nAnswer: 144011640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*(-6)\/20*(-390)\/(-9126)*39.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 3086781.\nAnswer: 117297678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*m - 4*x, -18*m = -20*m + x + 14. What is the remainder when 76 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i**2 - 21*i**2 + i**3 - 66*i**3 + 34*i**3 + 29*i**3 + 8*i**2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**2 + 5504*u - 13*u**2 - 809 + 810.\nAnswer: -2*u**2 + 5504*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 21 = 6. Suppose -15 + 5 = 4*t + o*i, 2*t + 2*i = -4. Are t and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11189718 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 408*c + 169. Let g(q) = -272*q - 104. Determine 5*d(f) + 8*g(f).\nAnswer: -136*f + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/4*4 + 0 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.910843ml to litres.\nAnswer: 0.004910843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (173445\/(-3730))\/((-6)\/(-4)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 2:27 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d = 7*d + 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1134 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2247 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.977917 nanometers to millimeters.\nAnswer: 0.000007977917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883633 is divided by 58.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/6 and -61\/9393093.\nAnswer: 18786186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 80 = 604. Let i = q - 122. Solve -3*h - 2*o + i = -4*o, 5*o + 16 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 7. Let r = -26 + n. Solve -4*s = r*d - 14, -3*s = -5*d - 5*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, h: 2, l: 2, y: 4, e: 1, f: 2}. What is prob of picking 1 f and 2 h?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5101 + 152*t**3 + 5101 + 226*t**3.\nAnswer: 378*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148684.\nAnswer: 2, 37171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2 - 48.\nAnswer: -49.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*u + 2, 4*u + 5 + 13 = -t. Find the second derivative of -160*y + 15*y**t - 2*y**3 + 22*y**4 + 0*y**3 - 15*y**2 + 51*y wrt y.\nAnswer: 264*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q - 45*q = 3*q - 11*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((12\/(-10))\/(-3)))\/(6*(-83)\/(-498))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdmv when four letters picked without replacement from dcvcmkvccckck.\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 29*n**2 + 294*n + 3079. Calculate h(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10) - 26\/40. Let u be 15599\/18*-2 + (-38)\/(-171). Let t = u - -15595\/9. Which is the second smallest value? (a) 0.2 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 0.4, 0.27, -5, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14155 and 1615.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/43 or 2898?\nAnswer: 2898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -5) + 2 + -35 + 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19890 = 17*h + 17*h. What are the prime factors of h?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from arb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l**5 + 3485*l**4 - 196256*l**3 - 5001884*l**2 - 26570880*l + 2073600 = 0. What is l?\nAnswer: -10, 1\/13, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 240, -5, 6, 3, 803, -4 in descending order.\nAnswer: 803, 240, 6, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + -2 + 0 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -322.15*0.2\nAnswer: -64.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2\/13*w + 310\/13*w**2 + 0 = 0?\nAnswer: -1\/155, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 596 * 0.5.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1247 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7630 + -3981. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (-23 + (23 - 31)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*h - 367, -3*q - 3*h = -2*q - 118. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/17 + 92\/153. Let r = -5\/18 + k. Suppose -1\/2*d**2 - r + d = 0. Calculate d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*o - 5 = -71*o. Sort 4, 2, o in decreasing order.\nAnswer: 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*4\/(-208)*(-403)\/(-1395).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41918 - -65216. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -5 + (-11 - -14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 133.8*-136.9\nAnswer: -18317.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31005001 to the power of 1\/2, to the nearest integer?\nAnswer: 5568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11571 is divided by 524.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11020202211 (base 3) in base 8?\nAnswer: 243324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**3 - 2*m**2 + 2*m - 1. Let j(h) = 7*h**3 - 5*h**2 + 5*h - 1. Let i = 34 - 36. Calculate i*j(k) + 5*a(k).\nAnswer: k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0007 * 3\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 13408.02757 to the nearest ten.\nAnswer: 13410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 6967 and 6966 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1*4 - (-4)\/(-3 - -7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 1864.\nAnswer: 7456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2827*w + 2825*w - 2*b + 76 = 0, 0 = b - 5. Solve w*j + 57*j + 360 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*w = -14*w - 207 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.7731, -5, 0.8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-two fifths of a centimeter?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1108 + 1106. Which is the closest to x? (a) 2 (b) -15 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7068 a factor of 2023151388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/(-35) - 3\/5. Suppose 3*g - 1229 - 355 = n. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five halves of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 133*q - 2. Let v be n(-1). Let z = -186 - v. Let u = 131 + z. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6314280 and 2578331.\nAnswer: 309399720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 2\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014648367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - b + 4*b = 23, -2*b + 2 = 0. Let j = z - 1. Let i(k) be the first derivative of -k**2 - 6*k - 1. Let x(n) = -2*n - 5. Calculate j*x(m) + 4*i(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 8*i + 6. Let y be c(3). Let q be (-12)\/(-28) + 0 + y\/(-7). Suppose q = -13*u + 8*u + 365. What are the prime factors of u?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + k + 0*k)*(-955 - 17 - 870 + 319) in the form t + f*k and give f.\nAnswer: -3046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/16460 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 60 = -4*p, -54 = -5*u + 3*u + 2*p. Let n be 150\/u - 1\/4. Let y be (0 + n\/(-236))*(-8)\/6. Are 0 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5595 is divided by 466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 31?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen ninths of a week in minutes?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -40*c - 3168, -21*x + 150 = 23*x - 46*x - 2*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1336 times -0.084\nAnswer: 112.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 51. Let a(b) = -6*b**2 - b - 102. Let i(f) = -3*a(f) - 5*r(f). Let m(q) = 2*q**2 + 2*q + 34. Let t(s) = 5*i(s) - 7*m(s). Calculate t(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 16 + 7 - 2*s)*(-19 + 30 + 38) - 49 + 49 + 8*s.\nAnswer: -90*s - 490","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2779 times -2?\nAnswer: -5558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1078*t - 26*t**2 - 23*t**2 + 196*t - 514*t + 53*t**2 to the form v*t + f + k*t**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9110 + -9098. What is the nearest to 3\/2 in 0.3, 2\/15, -1\/5, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 40*h**2 + h. Determine a(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/3 + 994*x**2 + 280892*x\/3 + 183280 = 0 for x.\nAnswer: -87, -2, 1580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 4*l**2 - 18*l - 44. What is a(-5)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 30*w - 156 + 36 = 12*b, 4 = w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let j be (-6)\/9 - (-394)\/6. Suppose t = v + 13, 5*t + 4*v + d*v - j = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**4\/4 + 29*t**3\/3 + 51*t**2\/2 - 27*t - 47. Let n be m(-27). Calculate the highest common factor of 18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1511345 (base 6) in base 7?\nAnswer: -512120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 6*v**2 - 39*v + 7. Let a be c(-10). Let z be ((-28)\/42 - 14\/a) + -5. Is z at most 3\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 19*k + 4. Let i(x) = 37*x + 9. Let p = 1874 + -1861. What is p*z(v) - 6*i(v)?\nAnswer: 25*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**4\/4 - 2*f**3 - f**2 - 9*f - 1. Let d be l(-6). Suppose d*b - 60 = -0*b. What is the remainder when b is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 1, v: 9}. What is prob of sequence vkz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13 - -58.87. Let c = -58.9 + r. Let i = -0.7 + -3.3. What is the closest to c in -5, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -44 + 28 + 32*q**2 + 16. Let k(f) = 5*f**2. Determine m(k(z)).\nAnswer: 800*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*b - 304 - 92, -4*m = 5*b - 972. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*f - 33, -16 = -5*f - y + 5. Solve -2*c + f = 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 18.8 (b) -3 (c) -16 (d) 2\/7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 4 + (-5 + 0 + 2)*(-5 + 3 + 0))*(-2*a**3 - 3*a**3 - 3*a**3) to the form c*a**3 + i + d*a + f*a**2 and give c.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 16 = -s, -y + 199 = -4*s + 229. Suppose 0 = c + 3*c - 328. Calculate the lowest common multiple of s and c.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3110 + -14541310?\nAnswer: -14544420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -482.539 * 5.\nAnswer: -2412.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9211 - 9023. Calculate the remainder when r is divided by 60.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -j - y + 13, 5*j - y - 27 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 666 divide 6910610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165480, 166450, 167420, 168390?\nAnswer: 169360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 + -140.1. Let c = p - -3.099999875. Round c to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (135\/(-5) + 12)*-1*452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.618 + 1.728. Is 5 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 14*t + 33. Let c be d(16). Let a be (41 - -3) + 3 + c. List the prime factors of ((-113)\/4)\/((-12)\/a).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2431*f**2 - 340. Let x(t) = 221*t**2 + 30. Let d(h) = -3*w(h) - 34*x(h). Let z(v) = 3*v**2. Give z(d(b)).\nAnswer: 146523*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lauzulllllulu. Give prob of picking 1 z, 1 u, and 1 l.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/6*(-2)\/1. Let v = 550.1 - 550. Let y = -0.04 + 0.54. What is the nearest to -0.1 in w, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**27*g))\/g**21)**(5\/2) assuming g is positive.\nAnswer: g**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + x + 29877 = 0, -4*w + 3*x = -3*w + 7479. Let b = -246583\/33 - w. Calculate the common denominator of 95\/12 and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 161.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -3*p + 54. Let h(m) = 5*m**4 + 4*m**2 - 9. Let x(b) = b**4 + b**2 - 2. Let j(u) = p*x(u) + 4*h(u). Find v, given that j(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5263894 and 0.064.\nAnswer: -5263893.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/3 + 202*m**2\/3 + 2*m\/3 - 202\/3 = 0 for m.\nAnswer: -1, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.551 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488580?\nAnswer: 2, 5, 263, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 2816?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 2*a - 34. Let b be w(0). Let k be (-51)\/b + (7\/2 - 1). Solve -31 = 5*c + 3*u, -k*c = -u + 15 + 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286657497 to the power of 1\/2, to the nearest integer?\nAnswer: 16931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -689*l + 1404. What is w(2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4122.6813 minutes to days.\nAnswer: 2.862973125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m - 1. Let j be a(6). Let o = j - -60. What is the remainder when o is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75609, -74455, -72531, -69837?\nAnswer: -66373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 + 58880*n**3 + 230253600*n**2 + 295569344000*n - 13455856480000.\nAnswer: 5*(n - 44)*(n + 3940)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 + 93.00031. What is u rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/21 - (51\/255 + (-162)\/35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) 0.6 (c) 0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/(-80))\/(30\/40). Which is greater: -0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-766)\/(-1149))\/((-1)\/9))\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9212 - 8764. What is the greatest common divisor of l and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198607887 is divided by 1565.\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 413*q**2 + 6144*q + 118130. What is g(428)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44749948015 - -1112?\nAnswer: -44749946903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -47 - (-231 + 228).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -26*d**2 - 16*d. Let u(h) = -5*h**2 - 3*h. Let r = 2 - 5. Let t(z) = r*c(z) + 16*u(z). Let n(a) = -a. Calculate t(n(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 88, 152, 222, 292?\n\"Answer: -j**3 + 12*j**2 + 23*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (5 + -3 - (-2 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 4*s**2 + 5*s + 1. Let p be t(5). Suppose 3*d + 3*q + 17 = 5*d, 0 = 3*d + 4*q - p. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2 + 18*s - 5 as i*s + o and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5340 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 246*o**4 + 76*o**2 - 18*o**2 - 760*o**4 - 6*o + 313*o**4 - 231 + 257*o**4 wrt o.\nAnswer: 672*o**2 + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*g + 31*g - 51*g)*((3*g + 0*g - 2*g)*(-3 + 1 + 0) + 4 - 3*g - 4)*(7 + 2 + 9).\nAnswer: 6210*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1286368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 20 = -5*t, 0 = 5*m - 3*t - t + 25. Which is greater: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574\/9 less than or equal to 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - n = 55, 4*n - 307 + 359 = 0. Suppose l = -0*l. Let y be 1\/2 + -21 + l. Which is bigger: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26.3839 and 14609.\nAnswer: 14635.3839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*m - 9 = 0, m = 3*v - 3 - 4. Let q be v - ((-4)\/(-1))\/2. Determine c, given that 5*c**2 - q - 3*c**2 + c**5 - 2*c**3 + c - c**4 + 0*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h - 5*t - 10, -5*h = 3*t - 38. Suppose -i - 4*i + h = 0. Let m(x) = -2*x**i + 22 - 22. Let y(s) = -5*s**2. Calculate y(m(f)).\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/12 + (-80)\/(-6). Let c = -11 + u. Suppose 0 + 5 = 2*j - o, 15 = j + c*o. Solve -h = 2 - j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5995 and 69515?\nAnswer: -416742425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 10*j - 11. Calculate the smallest common multiple of g(7) and 98.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 38 = -3*z. Suppose -20*m = -z*m + 3. Let k be 2*1\/(-3) - 286\/m. What is k rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733513 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339.6782 months in years?\nAnswer: 111.63985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, -5, 525, -1 in descending order.\nAnswer: 525, 0, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5 + 3025*d**4 + 326390*d**3 + 10109790*d**2 + 19252485*d + 9466065 = 0. What is d?\nAnswer: -477, -63, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27768833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*b - 865 = 72*b. Suppose 2*v = c - 1036, c - 1229 + b = -3*v. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 + 44*m + 1254. Give t(33).\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 11) + (3 + 0 - -32) + -13\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 2\/9, -1\/55, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 - (-498)\/(-15))\/(9\/(-30)). Suppose -83*c + v*c = 13. What is the remainder when 48 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.32983 + 1434.97017. Round x to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 107.3 and 1.\nAnswer: 108.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 44ba54?\nAnswer: 44ba53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485*d - 115*d + 607*d + 2151*d.\nAnswer: 3128*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -64, -213, -504, -985, -1704, -2709, -4048?\n\"Answer: -8*s**3 + s**2 - 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m - 220 = -60 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9b (base 15) to base 7\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*n + 2*n**3 + 28*n)*(18*n**2 + 12*n**2 - 29*n**2).\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31496?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382437921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/15)\/(-2*18\/180)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 9*s + 46. Let f be u(0). Suppose 0 = -41*o + f*o - 230. Calculate the greatest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5040 and 2310.\nAnswer: 55440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3 + 2 + 0. Let w(y) = 9*y**2 + y + 0*y + 0*y**2 - 8*y**2 - 2*y**2 - 10. Give -18*i(f) + 2*w(f).\nAnswer: -2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 + -5bcb2b?\nAnswer: -5bcb12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.64\nAnswer: 2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1401 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 105 and 9153?\nAnswer: 9048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39235*q*v**3 - 72877401*q*v**2 - 165*v**3 wrt v?\nAnswer: -235410*q - 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, 1\/5, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 18.8. Let c = 0.003 - 0.203. What is the fourth biggest value in f, c, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948658278766 minus -31?\nAnswer: 1948658278797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 1911?\nAnswer: 955.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -60*v**3 - 4*v**2 + 2*v - 5. Let f be n(-5). Suppose -2*j + 4*j = 0, -f = -5*q - 3*j. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 302*x - 31 - 28 + 78 in the form s*x + m and give s.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 558?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 7*l + 9. Let z be x(-6). Suppose 2*b + t + 1 = 0, b - 5*t = -8*t - 3. Let q(r) = 1 + b*r**2 - z*r**2 - 3 + r**2. Calculate q(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -65, 1.17, -6, -4?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = b - 2922, 0 = -56*q + 60*q - 4*b - 2912. What is the highest common factor of q and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 379\/3 - (-2)\/3. Let z = t + -47. Suppose -5*p + 0*p + 50 = 0. What is the highest common divisor of z and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -294.9 + 302. Let m = -157 - -150.1. Let r = i + m. Which is the second smallest value? (a) r (b) -15 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 38 = -q + 3*z, 4*z = -20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*m - 152 = 5*m, 3*f - m + 182 = 0. Let n = f - -61. What are the prime factors of (0 - n)\/8 + (-273)\/(-4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/5 and 48\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*u = 43, 4*n + n = 2*u + 45. Suppose -f = n*f - 3*f. Solve 2*h - 2 = -f*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(1\/4)*r\/r**(5\/2)*r**(-1\/4))\/(r\/(r\/(r*r**(-5)))*r**(-3)\/r*r)**(1\/33) assuming r is positive.\nAnswer: r**(-59\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289 + 10*d + 289.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 - 92. Suppose 0*j = 3*j - u. Calculate the least common multiple of j and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**4\/6 - d. Let g(h) = -h**2 - 21*h - 36. Let s be g(-19). Let p(r) = -3*r**s + 4*r**2 + 11*r**2. What is p(c(x))?\nAnswer: 48*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104.5 + 75. Let d = 29 + j. Which is the closest to 2? (a) d (b) 4 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3234.\nAnswer: 3238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283538 is divided by 140939?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 4)*(1 + 1 + 0)*(x + 2*x - x) + 0*x + x - 3*x + (-3*x - 2*x + 4*x)*(-1 - 2 - 1) + 2*x - x - 4*x as r + u*x and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 10:39 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q + 6 = 0. Suppose c - q = 1. Suppose z + 8 = c*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82416634*a**3 + 182098919*a**2.\nAnswer: 494499804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22475 divided by 31\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 124734333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/2*(5 - 2). Solve k = -i + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*p + 15*d, 42*p + 44 = 87*p - 44*p + 7*d for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcrc. Give prob of sequence rcr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 28*i**2 - i + 31. Let v be r(28). Let q be (6 - v) + 0 - -14. What is the greatest common factor of q and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 - 10*j - 250. Let w be v(-14). Which is bigger: w or -500?\nAnswer: -500","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 782274 by 3.\nAnswer: 260758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*3.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {r: 3, p: 1, y: 9, d: 6}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*t**2 - 7 - 67*t**2 + 7 - 10*t as p*t + b*t**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*x - 2*x - 102, 4*v = 3*x - 74. Calculate the smallest common multiple of 18 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.4 (b) -1 (c) 2\/9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + 3*z - 3*z + (-4*z + 4*z - z)*(z + 1 - 1) + 2*z**2 - z**2 - 3*z**2 + 99*z**2 + 1017*z - 1017*z.\nAnswer: 97*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24, 6, -9 in increasing order.\nAnswer: -24, -9, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4516, 13076, 29746, 58582, 103640, 168976, 258646, 376706?\n\"Answer: 676*g**3 - g**2 + 3831*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/6*0*-1 - -194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-10))\/((-6)\/16). What are the prime factors of (1 - 0)*(-88)\/j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-20))\/(2\/80). Let n = -18 + q. Suppose 2*z + 0 = n. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 283667065?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(72) + 3 + sqrt(34)\/sqrt(2))**2.\nAnswer: 7*sqrt(17) + 1157\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -1029 (b) -2\/43 (c) 1 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -723*w**2 + 7*w - 48. Determine f(2).\nAnswer: -2926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 15*n + 10. Let c be o(-7). Suppose 4*q + h = 1125, -3*h = -c*q + 196 + 659. Let p = q - 185. List the prime factors of p.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, m: 3}. What is prob of picking 4 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1461443, -2923120, -4384797, -5846474?\nAnswer: -7308151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-52 - (-31 - -38 - 34)) + 27\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17c5 (base 15) to base 10.\nAnswer: -5135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from {j: 1, m: 1, q: 5, l: 1, y: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4.1. Let t = 0.4 - p. Let c = t + -0.2. Sort 0.3, c, -0.4 in decreasing order.\nAnswer: 0.3, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197 + -191. Solve w + 2*c = p*w - 10, -w = 5*c + 25 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23 and 21999?\nAnswer: 505977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1928864 and 5\/3476.\nAnswer: 21217504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3844 or 26918\/7?\nAnswer: 26918\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/13)\/z**(-7)*(((z*z*z**4*z)\/z)\/z)**26 assuming z is positive.\nAnswer: z**(1779\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564102.\nAnswer: 2, 3, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 + 0.03. Sort 1, 4\/5, 0.3, b.\nAnswer: b, 0.3, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + x - 4*x = -7, 2*x + 2 = 0. Suppose 23 = 5*a + 6*d - t*d, 5*a + 5*d = 25. Solve -4*b + 4 = -a*m, 6*b - 4*b - 2 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -102, -86, -70, -54, -38?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 + d - d**3 - 10*d**3 - d.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a + 20. Let g(y) = -1. Let u(q) = -2*c(q) - 36*g(q). Let k be u(2). Solve -3*f = 4*h - 35, f = 3*f + 2*h - k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4916*a**2 - a*o**2 - 7962*o**2 wrt a.\nAnswer: 9832*a - o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v**(1\/3)\/v)\/v*v))\/v**4*v*v*v**(-9)*v**(2\/7)*v*(v**(-3\/14)\/(v**(-1\/11)*v*v))**(-41\/3) assuming v is positive.\nAnswer: v**(9227\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1198 - 1196. Calculate the greatest common divisor of 6 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/957 and 37\/957?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 5132697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2. Let f(t) be the second derivative of -t**7\/2520 + t**4\/6 + 2*t. Let i(z) be the third derivative of f(z). Determine x(i(k)).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7408764499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = i - 1, 6*i - i - 5 = -4*b. List the prime factors of (-4 + 2 + b - 0) + 720.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1978 - 1977.901. Sort 39\/5, 5, z in descending order.\nAnswer: 39\/5, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b + 810 = -4510. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*8\/6 + -4. Suppose d = -3*d + 20. Put 2, j, d, -1 in ascending order.\nAnswer: -1, j, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012503 to 5 dps.\nAnswer: -0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6273 and 1.\nAnswer: 6273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r = -62. Suppose -4*h - h - 5*o = -55, -h + 3*o = -r. Suppose 4*k - 3*k - 128 = 0. What is the greatest common factor of k and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (9965616\/336 - 25) + (-8)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(-3*sqrt(5) - sqrt(5)) - (sqrt(114)\/sqrt(24) + sqrt(19) - sqrt(19))) + 4 + (-1 + (-1*sqrt(931))**2 - sqrt(931)).\nAnswer: -31*sqrt(19)\/4 + 934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 9:14 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3998.944 rounded to the nearest 10?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-18))*f)**(-9)*f\/(f\/(f*f**(-6\/11)))*(f**(3\/29)*f)\/f assuming f is positive.\nAnswer: f**(48985\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 9*z - 4*z - 4*z + 2*z**2 - 4. Let k be n(5). Let g = -41 - k. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h + 108560 = 3*r + 108455, 3*r + 12 = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.21 + -0.14. Let n = 0.15 + y. Let j = -18 + 17. What is the biggest value in j, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65 in -3\/2, 0.11, -1.6, -5, -4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 3. Suppose 0 = g + 4*g + 30. Let j be u(g). Let z be ((-2)\/4)\/(j\/(-55200000)). Round z to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -387 - -514. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**4\/12 + 7*t**3\/6 - 11*t**2\/2 + 2*t. Let x = -6 + -3. Let z be h(x). What is the greatest common divisor of z and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 187*o**2 + o. Let x be q(1). Suppose 1625 = 3*u + x. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -51, -96, -159, -246?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 288491452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -31930 and -0.1256702.\nAnswer: -31930.1256702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/60)\/((-130)\/(-78)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 43. What is the third smallest value in b, 2, 0.3, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.1 (c) 1\/4 (d) 3 (e) -14 (f) 5.39\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2 - 16977378*o + 24019280312907 = 0. Calculate o.\nAnswer: 2829563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaagagga. Give prob of picking 2 a.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.744224 to one dp.\nAnswer: 11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5387766.179 to the nearest 1000.\nAnswer: 5388000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69127, 69169, 69209, 69247, 69283?\nAnswer: 69317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 930, 442.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06066268931 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3) + sqrt(5) + -1 + 5 + sqrt(20) + (((sqrt(10)*1)\/sqrt(2) + sqrt(5))*-5)**2 - (sqrt(315)\/(sqrt(252) - sqrt(7)))\/(sqrt(9)*2*1).\nAnswer: 39*sqrt(5)\/10 + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*s + 5*v, -3*v + 3 = -4*v. Suppose 5*j - c - 3 = s, 0*j = -j - 2*c - 6. Put j, -2, -5 in ascending order.\nAnswer: -5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1357 and 146579.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 9 - (-6 + -4) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2877 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34a597 + -1?\nAnswer: -34a598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 123515730.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2748220 and 5206.\nAnswer: 52216180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40ddc - -6f?\nAnswer: -40d6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17095640 divided by 5140\nAnswer: -3326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 7*i + 2*i + 23 = 0, 0 = g - 4*i + 19 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**4 + 116*g**3 + 1906*g**2 + 12376*g + 28224 = 0.\nAnswer: -36, -8, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13*a**4 + 123*a**3 + 600*a**2 + 560*a - 1284. Let i(b) = -15*b**4 - 125*b**3 - 600*b**2 - 560*b + 1285. Let d(c) = -5*g(c) - 4*i(c). Factor d(p).\nAnswer: -5*(p - 1)*(p + 4)**2*(p + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*((-228)\/9 - 7) + -7. Are 632\/7 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 535\/2761 - 3\/251. Which is the closest to n? (a) 5 (b) 4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 603 = -5*k + 3321, 4*j - 804 = -k. Suppose 4*i - k = -4*b, -4*b = -2*i + 5*i - 592. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/5 - 26*v**4\/5 - 96*v**3\/5 - 72*v**2\/5 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 96 - 29)*(35*r + 10*r**2 - 35*r).\nAnswer: 440*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*x - 4138 = 0, -2*r = -x - 3562 - 552. Calculate the remainder when r is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*h + 313590 = -6760 - 86750. What is the third biggest value in -1\/6, h, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Let z be (-136)\/(-24) + (-2)\/3. Solve -z*q + 1 = -g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 279 - 81 + 51 + 132*s - 2*s**3 wrt s.\nAnswer: -6*s**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.7 - 9.71. Which is the nearest to -2\/11? (a) -4 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 - b**2 - 62 - 7*b + b - 3*b**2 + 71. Determine l(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1260, 1168, 1014, 798, 520, 180, -222?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 a when four letters picked without replacement from xaaxaxaxaxaaaaaaaxx?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8\/((-8)\/4)*1 - -342 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -275 - -269. Let y(a) = a**3 + 8*a**2 - 3*a - 75. Let u be y(v). Solve 0 = -13*d + 8*d + u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -225 + 122 - -250 - 102.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 6873082?\nAnswer: 6873100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219286202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*d - 5808, -4*d + 2*d + 4*z = -2904. Let s be (-9)\/d*16\/18. Let x = 1097\/1452 + s. Which is smaller: x or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/((-5)\/7))\/((-3)\/3). Suppose 11 = k - b, -5*b + 5 = -3*k + 8*k. Find the first derivative of -k*t**3 + p + 3*t**3 - 5*t**3 wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 27. Let i be ((-1)\/4 + 15\/20)*m. Suppose 3*x + 3*b = -4 - i, -2*x + 5*b = -29. Solve -w - x + 0 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-300))\/(12\/10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.75475 to 3 dps.\nAnswer: -0.755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8780622*i**6 + 12*i**5 - 475164707*i**2?\nAnswer: -1053674640*i**3 + 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (10 - 1) - (-7 + 8 + 9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 14*c**2 - 181*c + 2246. What is a(13)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/8 of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27975)\/(-42) + ((-205)\/(-70) - 3) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 382*j - 4162. Calculate i(11).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/24)\/(4\/((-96)\/(-9))*(-81)\/486)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 - 9*t. Let x be v(-5). Let r be 6\/4*(-123)\/(-9). Let u = r + -373\/18. Which is the third biggest value? (a) x (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -24\/11 (c) 2.9 (d) -7 (e) -0.3 (f) -1 (g) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 - 33*o + 94. Determine n(7).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**3 + 30*j**3 - 98*j**3 + 22*j**3 + 21*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 4*t + 43, -4*q - 1 = 173*t + 317 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**11*y**(-12\/13))\/(y*y**(-2\/11))**(1\/6) assuming y is positive.\nAnswer: y**(-3163\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2*-6 + 5)**2 - (((sqrt(272) - (sqrt(272) + sqrt(272)*-1)*5) + sqrt(272))**2 + 4).\nAnswer: -360*sqrt(17) + 20965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 50*j + 54. Let p be l(-24). What is the biggest value in p, -0.5, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47274 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 291038 take away 0.4?\nAnswer: 291037.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242013630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(1\/3)*s*s))\/s)**(-36)*(s**(-2\/15))**(-33))**(2\/121) assuming s is positive.\nAnswer: s**(884\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 267 = 5*s - 114, 0 = -w - 3*s + 189. Calculate the highest common divisor of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmmmmpphmppmmpmppmm. What is prob of picking 1 h and 3 p?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*j = 64*j - 43*j + 750 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x - x + 2*x - x - 1 + 1 + 4 - 2*x - 4 + (2 - 1 - 3)*(-3*x + x + 0*x))*(-38421 - 13764 + 585 - 5666) as t*x + c and give t.\nAnswer: -114532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**5\/5 - 2*d**4\/3 - 16*d**3\/3 + 3*d + 11. Factor p(r).\nAnswer: 4*r*(r - 4)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t**2*y**3 - 18*t**2*y**2 + 546*t**2*y - 2*t**2 wrt y?\nAnswer: -24*t**2*y - 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 0 + 3 - 4)*(0 - 2 - 2)*(2 + 4 - 2).\nAnswer: -64*u + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + o - 10 = 26, h + 3*o + 44 = 0. Let q = 42 + h. Solve -6 = q*l + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = p - 1406*z + 1410*z, -3*p = -5*z - 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.8103177 weeks?\nAnswer: 490080144960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1957842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -10*t - 112. Give u(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 462, 662, 1200, 2244, 3962, 6522, 10092, 14840?\nAnswer: 20934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llcc when four letters picked without replacement from evlvc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 663413 - -1?\nAnswer: 663414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.3 (c) 2\/9 (d) 4072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-728)\/(-4))*40\/(-10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 484520.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - 0.5. Let s = l - 0.04. Which is the closest to -1? (a) 0.5 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 7 - 149312*n**3 + 3 + 149314*n**3 - 5.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/87 + -1348\/957. Let i = -18\/11 - z. Put 4, 1, i in ascending order.\nAnswer: i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3)*r*(r\/r**(-5)*r)\/r*r*(r\/(r**(-2\/3)\/r))**(3\/5)*(r**(3\/5)*r**(1\/6))\/((r*r**5*r)\/(r**(-1\/3)\/r)) assuming r is positive.\nAnswer: r**(-29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -1212?\nAnswer: -1216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 10 + -19 + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 191*b**2 + b. Let g(j) be the second derivative of -j**3 + 97*j. Give g(d(o)).\nAnswer: -1146*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 7:31 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -332432 divided by -6?\nAnswer: 166216\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.49873mm in nanometers?\nAnswer: 93498730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000695134233 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*k, 5 = k - 6*k - x. Let u be k + 5 + 0 + 2. Suppose 7 = 3*p - u. Solve p*c = 4, -4*c + 19 + 1 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**7\/1260 - g**4\/24 - g**2. Let d(z) be the second derivative of p(z). Let i(w) = 12*w - 11*w + w. Calculate i(d(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 6:52 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6683 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -1\/4 (c) -3 (d) 2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13308290 a multiple of 655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + p - 192. Let x = p + -28. Let v = x + -37. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5237 and 0.2?\nAnswer: -1047.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2075148*h**2. Let w(f) = -4*f**2. Determine w(r(l)).\nAnswer: -17224956887616*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i**3 + 82*i**2 + 65*i - 17. What is l(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 14) to base 9\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -238190*b*s - 2428659*b wrt s.\nAnswer: -238190*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110989?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 7 = -3*j. Suppose -5*a + 2 = -3*k + 16, -k = a - 2. Let d be 57*(j\/(-3) - k). What is the greatest common divisor of 209 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7040892131?\nAnswer: 7, 13, 77372441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a hour in seconds?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6693 - 6693.1. Which is the fourth biggest value? (a) m (b) 0.2 (c) -4 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**4\/4 + c**3\/3 - c**2\/2 + 4*c + 7. Suppose a = 3*a. Give o(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(325) + -3)**2.\nAnswer: -60*sqrt(13) + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) + 24\/(-80)*-5. What is d in 2\/3*d - g - 1\/9*d**2 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 + -23. Let o = 904 - 891. Suppose -d = -a + o. Solve 4 = -3*w + 2*g, 4*w - d*g = -5*g + 23 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.46 + 33.47393. Round l to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 38. Let h = p - -13.8. Let c = 3 - 2.6. What is the third biggest value in h, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40390 divided by -1154.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, g: 2, o: 4}. What is prob of sequence oorr?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - -1*sqrt(136))\/sqrt(8) + -3*sqrt(17)*-2 + sqrt(17) + 0.\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - j - 3)*(21 - 32 + 57 + 18) to n*j + i and give n.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17687*j**5 + j**4 - 4390*j wrt j?\nAnswer: -353740*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*s + 65 = 0, 2*w + 5*s + 2 = 17. Solve 0 = i - 11*i - w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1812*x = 1838*x - 4598438. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v - 30. Let n be j(3). What is the tens digit of (651\/n)\/((-5)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l*l**(-18)))*l)\/l*l\/l**15 assuming l is positive.\nAnswer: l**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.44 + 0.05. Let w = -0.01 + x. Let u be ((-2)\/(-6))\/(-1 + 0). Which is the third biggest value? (a) u (b) 1\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230265 is divided by 63.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -290 (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m - 3. Let n(l) = -l. Let k(c) = 11*c + 7. Let g(p) = k(p) - 2*n(p). What is -2*g(q) - 5*j(q)?\nAnswer: 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2079478?\nAnswer: 6238434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*x - 4*x + 8, x - 17 = -2*w. Let m = w - 15. Let o be 81 + 2 + m + 2. Calculate the greatest common factor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 12:40 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 times 0.025?\nAnswer: -0.0675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 18 = -11*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4 + 3148*s**3 + 601608*s**2 + 5162400*s = 0. Calculate s.\nAnswer: -478, -300, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -57. Suppose -60 = 16*d - c*d. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-4))**(-3\/10)*(p\/((p\/p**10)\/p))\/p**(-2\/9) assuming p is positive.\nAnswer: p**(1091\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 63 = -23*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3 - 532*l**2 + 36418*l - 137288 = 0. What is l?\nAnswer: 4, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2090.54023 to the nearest integer.\nAnswer: -2091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 2046611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 11*j**2 - 2*j + 51. Let a = -300 - -300. What is the remainder when t(a) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4 - 3*o - 5 + 0 - 3*o**2 + 7. Let r(w) = -w**3 + 2*w**2 + 2*w - 7. Let n(m) = 2*d(m) + 3*r(m). Differentiate n(c) wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43235 bigger than 43239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*4*4\/((-80)\/15). Let d(l) = 2*l**2 + 10*l - 12. Let v(r) = 5*r**2 + 31*r - 34. Let c(u) = -8*d(u) + 3*v(u). Give c(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -446, -1191, -2240, -3599, -5274?\nAnswer: -7271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12663)\/(-147) + (-6)\/(-7). What is the highest common factor of n and 3045?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1225 in 0.5, 11\/4, -2\/9, -5, 1.24?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69.41 + 0.91. Let l = -68 - k. Let u(g) = g**2 + 4*g + 3. Let j be u(-3). Which is the third biggest value? (a) j (b) l (c) -11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 w, and 1 r when four letters picked without replacement from otrottwwot?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*2*2)\/(sqrt(2) + (sqrt(2) - sqrt(50)*2 - sqrt(2))) - (sqrt(21)\/(sqrt(14)\/(sqrt(50) + sqrt(2) + sqrt(2))))**2*4.\nAnswer: -588 - 4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -221, -4, 4.\nAnswer: -221, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -79461100 to the nearest 100000.\nAnswer: -79500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-126))\/(900\/(-504))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -1851 and -1851 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 862498 a multiple of 1274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000415965057 rounded to five dps?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 68 + 12. Suppose -u*d - 9 = -49. Suppose -2*g - d = 19. Which is bigger: g or -13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21880 and 6.\nAnswer: 65640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 460531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592571 is divided by 74035?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 22*r**2 + 2. Let k be t(22). Is ((-1227)\/(-9))\/(k\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1694.92141 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -982 by 13.\nAnswer: -982\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -164, -433, -904, -1679, -2860?\n\"Answer: -17*p**3 + p**2 - 153*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*i + 120*i + 396*i - 253*i + 665*i.\nAnswer: 955*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 2.94. Let j = 95.94 - 99. Let k = p - j. Is -1 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 16) to base 14.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 4, j: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, -3, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458001 is divided by 659?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -370.69 + 370.39. Let t be 26\/(-40) + 6\/15. What is the closest to t in n, -1, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*n = -83*n + 3. Suppose 0 = 5*b - n*d - 26, 12 = b - d - 3*d. Solve -3*i - 19 = b*l - 4*i, 3*l + 12 = 3*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/9 + (-6)\/27. Which is greater: -10\/9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-4)\/(-8) + -4. Let s(n) = n**3 + 4*n**2 + 2*n + 6. Let a be s(v). Solve i - a + 8 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zazzazza.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31405425 (base 6) to base 14.\nAnswer: 19cbb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -474*k**3 - 11*k**2 - 29*k - 1. What are the prime factors of n(-2)?\nAnswer: 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:54 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19364 = 7374*r - 7786*r for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -13524*j**2 - 67600*j + 104. Calculate u(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8978*1.6\nAnswer: -14364.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2074, -16176, -54302, -128464, -250674, -432944, -687286?\n\"Answer: -2002*a**3 - 88*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/4)\/(-1)*(-3)\/(9\/2)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**3 - 4*g**3 + 2*g**3 - g**3 - 11*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.32, -3, 0 in ascending order.\nAnswer: -3, 0, 2.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18886.78 litres in millilitres?\nAnswer: 18886780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 61, 99, 149, 217, 309, 431?\n\"Answer: i**3 - 3*i**2 + 34*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -11\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6487680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 64?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 3:41 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, 29, 139, 281, 449, 637, 839?\nAnswer: 1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7050863 is divided by 314?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Which is smaller: q or 155\/63?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2. Let m(u) = -21*u**2 - 12*u**2 + 5*u**2. Give m(c(f)).\nAnswer: -112*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2 - 41.2. Let t = 37.000136 + h. What is t rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(-2*sqrt(8)) - sqrt(20)\/(sqrt(8)\/sqrt(2))) + -3)**2*-5.\nAnswer: -405\/4 - 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00044 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2. Suppose 23 = -x + 5*d, -7*d - 29 = -2*x - 12*d. Let r(m) be the second derivative of 13\/3*m**3 - 5*m + 0*m**x + 0. What is w(r(c))?\nAnswer: 1352*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2902236.69334+360\nAnswer: 2902596.69334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 9, 166, 4 in decreasing order.\nAnswer: 166, 9, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12 - (4\/(-18) + 200\/(-72)). Let h(n) = -75*n + 120. Is 13 a factor of h(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 16*d**3 + 43 + 50*d**2 + 51*d - 50*d**3 + 32*d**3. Let s be v(26). Solve -5*h + 3*g = -13, 2*g = -5*h + 16 + s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 971.6544 months?\nAnswer: 0.809712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 360 + -228. Suppose 3*u - 6*u + v = 0. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 12. Let k be (-78)\/j - (-6)\/4. Let s be 72\/16 - (-1)\/(-2). Solve s*i = k*i - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6*k + 15 = 0. Let i be 5\/(-35)*(k - -2). Let t = -9 + 8. Put t, i, -5 in descending order.\nAnswer: i, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2630)\/(-3419))\/((-24)\/(-26)) - 50\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*-1*3*-1.\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -49100714 - 4862?\nAnswer: -49105576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -3\/5, 0.7 in decreasing order.\nAnswer: 0.7, 0, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 25*n + 1. Determine u(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 8 = a. Suppose a*x + 2*x + 5*l - 88 = 0, 2*x - 2*l - 44 = 0. Calculate the remainder when (-1156)\/(-18) + (-2)\/9 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*q**2 + 12*q**2 - 5*q**2)*(30*q + q**3 - 30*q).\nAnswer: 19*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f**2 + 7*f**2 + 14*f**2 + 5*f**2.\nAnswer: 45*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 + 0.37. Let m = 317 + -233. Suppose 12*y + m = -9*y. What is the nearest to -1\/3 in -0.05, v, y?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4132000 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, z: 1, o: 12}. Give prob of picking 2 z and 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -761 - -763. Solve 4*y = z*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8013*p**3 - 1723*p wrt p.\nAnswer: -48078*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.085 in 0.3, 4\/3, 39\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 - 15 = 6*f. Let n(i) = -i**2 + 8*i - 4. Let z be n(7). Suppose z = b - f. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.8 - -12. Let f = -6.87 + 11.87. Which is the closest to s? (a) -4 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u + 70*u - 13*u - 2 + 80*u.\nAnswer: 118*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -295105487*h*r - 1449106988*h wrt r?\nAnswer: -295105487*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 9*v. Let d = -4 + 0. Let c(r) = -2*r. Calculate d*b(k) + 18*c(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 - (-142 + 73) - 5?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a - 28*a - 12*a in the form v + g*a and give g.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 349 + -233. What is the greatest common divisor of p and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 7 + 8 - 2*i)*(0 - i + 0 + (0*i + i - 3*i)*(2 + 1 - 1) - 2*i - i + 2*i).\nAnswer: 12*i**2 + 54*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -14.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52 * 0.051.\nAnswer: 2.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2117.\nAnswer: 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 11634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 527 - 332. Let i(c) = -3*c - 3. Let b be i(-3). Suppose 9*h - b*h = y. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -19. Which is bigger: v or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 6 + 31. Suppose 3*o + 1 = 4*o. Let w be (-1 - 15\/(-20))*4\/2. Which is the nearest to w? (a) o (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by -205112.\nAnswer: 83\/205112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z\/((z*z**(-1\/3)*z)\/z)*z)\/z*z*z\/z**(-2)*z*z)**(-29))**(5\/4) assuming z is positive.\nAnswer: z**(-3625\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, a: 3, y: 1, j: 2}. What is prob of picking 1 a and 2 d?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -73, -131, -221, -355, -545, -803, -1141?\nAnswer: -1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000251192 to seven dps.\nAnswer: 0.0000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31393140 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -215, 12, 2\/87?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1101 - 114?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at most 1122\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 383.3663m in nanometers?\nAnswer: 383366300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 2*d**2 - 2*d - 5. Let c(m) = 2*m**3 - 3*m**2 - 3*m - 5. Give -2*c(q) + 3*i(q).\nAnswer: -q**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7447291, 7447281, 7447271, 7447261, 7447251, 7447241?\nAnswer: 7447231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4\/19 + 800*v**3\/19 + 80796*v**2\/19 + 159200*v\/19 + 79202\/19 = 0. What is v?\nAnswer: -199, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712235633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -126206795, -252413591, -378620387, -504827183, -631033979?\n\"Answer: -126206796*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -0.935777513.\nAnswer: -1.935777513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 3:59 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -28?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69752260 - -185752270. Let h be m\/(-20) - (-1)\/2. Round h to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 + 16.92. Let l = -18.1 + h. Let p = -1 - l. Do 0.1 and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*2*sqrt(152) - (sqrt(152) - (sqrt(152) + (sqrt(152) - 1*sqrt(152))*2)))\/(sqrt(96)\/(sqrt(72)\/(sqrt(216) + sqrt(6)))))**2.\nAnswer: 304\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w = 1583 - 623. Solve -3*r + 10 - w = -4*k, 4*k = -5*r + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 9320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 155 + -2324\/15. Let r(c) be the first derivative of 2 + 2\/5*c + b*c**3 - 3\/10*c**2. Suppose r(m) = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - -1 - (-4)\/(-2). Let f = n - -6. Calculate the least common multiple of f and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 3\/15322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5936 + -5931. Let c(x) be the second derivative of 1\/5*x**d - 1\/20*x**6 - 31*x - 7\/24*x**4 + 1\/6*x**3 + 0*x**2 + 0. Let c(y) = 0. Calculate y.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 8:09 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1783, -3662, -5541?\nAnswer: -7420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24043 (base 5) in base 2?\nAnswer: 11011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11188*b**5 - 3395*b**3 + 10 + 18*b - 17 + 3395*b**3 + 4*b**2 wrt b.\nAnswer: -671280*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50271874?\nAnswer: 2, 227, 110731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42975 is divided by 377?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 685336609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*u + 30, 3*o - 5*u = -369 + 379. Put o, 0, -927 in decreasing order.\nAnswer: o, 0, -927","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 227*z**3 - 12*z**2 - 9*z + 132. Let g(d) = 455*d**3 - 26*d**2 - 19*d + 287. What is 6*g(n) - 13*s(n)?\nAnswer: -221*n**3 + 3*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**4\/6 - 32*g. Let w(x) = -2*x + 1. Determine w(o(h)).\nAnswer: 4*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.40000001 - 1.4. Round l to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 - 2*w**4 + 2*w**4 + (-3*w + 2*w + 0*w)*(-3*w**4 + 2*w**4 + 0*w**4) + (-23*w**4 - 3*w**4 + 7*w**4)*(2*w + 4*w - 4*w).\nAnswer: -36*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14826 + ((-1)\/(8\/68) - 14\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48298986 and 54.\nAnswer: 144896958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391846?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r. Solve w = -r*w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -39 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*i - 10*i. Let j(s) = -s**3 - 5 + 0*s**2 + 5 - 3*s**2 + 2. Determine j(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*f - 4350 = 0, 4*k - 10704 - 6657 = -3*f. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/8 + (-231)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 68 = 2*s, -q - 58 = -0*s + 2*s. Let o be (18\/(-15))\/(9\/s). Solve -3*z = -i - 4*z - 5, o*z = -3*i - 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = w + 2*k, 3*w + 19656 - 9841 - 9843 = -5*k for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37184 and 88640?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-64 - -78)\/((-14)\/(-4)). Determine h so that 10*h - 25\/2*h**5 + 17*h**2 - 40*h**a - 49\/2*h**3 - 4 = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n. Let a(t) be the first derivative of 3*t**2\/2 + 2. Let q be (3 - 6 - 22\/(-4))*38. Let c = -98 + q. What is c*a(i) + 8*b(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152765 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1 + 1 + 2 - 2 + (2 - 2 + 2)*(5 - 5 + 1) - 3 + 2 + 3)*(-1 + 51 - 23)*(-5*n**2 + 4*n**2 + 3*n**2).\nAnswer: 162*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 1\/3, 0.1, -2\/17, 15.7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1*(0 + sqrt(448)) - (2 + (sqrt(63) + sqrt(7))*2)) + -5)*-1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = m - 3*o, -42*m = -46*m + 5*o - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -3219.\nAnswer: -3219.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630119703 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 4*i + 10. What is the units digit of j(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1500, -3041, -4582, -6123, -7664?\nAnswer: -9205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028 is divided by 81?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -1133?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**4\/3 - d. Let i = 3 - -2. Let n(h) = 0*h**2 + 3*h**2 - i*h**2. Calculate n(w(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 9*z + 159. Let w = 159 - z. Solve 0*i + 2*i = w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 513 - 505. Let l(v) = 2*v**2 + 11*v - 148. Let b be l(m). Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51543\/100 - -2065\/4. Find the common denominator of (87\/720)\/((-2)\/(-4)) and q.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7*y*y**(2\/5)\/y*y)**(-50)*(y\/(y\/y**(-2))*y*y*y**(2\/21))\/(y*y**4*y**(1\/3)) assuming y is positive.\nAnswer: y**(-8930\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/5))**(1\/4) assuming k is positive.\nAnswer: k**(3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596350 is divided by 10852?\nAnswer: 10342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.085 < -294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 263\/889 - 9\/889. Let j = -145 + 728\/5. What is the closest to 11 in j, d, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-1) + (-8)\/3. Let m = 724 + -505. Let k = m + -218.8. Which is the second smallest value? (a) h (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -203*u**4 + 67*u - 7*u**3 + 8154 + 40*u + u**2 - 8159 wrt u.\nAnswer: -4872*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.563 + -0.437. What is the smallest value in 4, c, 1\/20, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5 - 1440*h**4 - 18123*h**3 + 42030*h**2 = 0. Calculate h.\nAnswer: -467, -15, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202746 (base 8) to base 3.\nAnswer: -10101222012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9886*b**3 - 804*b**2 + 4*b - 3917133?\nAnswer: 59316*b - 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*a = 1159 + 10341 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*a + 94, -141 = 3*z - 0*a - 2*a. Let s = z + 144. Calculate the remainder when s is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(200) - (-3 + -2*sqrt(200) + sqrt(200))**2) + -5 + 0.\nAnswer: -215 - 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 924 = -2*k + 4*b, -3*k + 3*b + b - 1386 = 0. Calculate the common denominator of -3 + (20\/70 - 526\/k) and -59\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 7*p**5\/60 + 2*p**2. Let u(w) = 10 + 3 - 2 - 13. Let k(l) = 2*l + 7. Let c(h) = 4*k(h) + 14*u(h). Determine c(t(b)).\nAnswer: 56*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1573 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 -2610.409 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.03 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11090449 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1312452369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35\/4*(4 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -1.28.\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -13*m**2 + 4*m - 4. Let h(z) = 10*z**2 - 3*z + 3. Let k(u) = 3*b(u) + 4*h(u). Let s(j) = -8*j**2 - 50*j. What is k(s(n))?\nAnswer: 64*n**4 + 800*n**3 + 2500*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 214674 = -554351 - 1171751. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from hhichcih?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*m*p**4*x - 67*m*p*x - 2*m*p - 2*p**5 + 7*p**2*x wrt p.\nAnswer: -96*m*p**2*x - 40*p**3 + 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 5, -0.068, 0, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from {v: 2, b: 8, j: 1, i: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from qqeqqxqeeqqenqeq?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 575848 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1568978280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 0 - 6)*(2 - 2 + 2*a)*(-a + 0*a + 2*a + (-1 + 2 + 0)*(0*a + a - 3*a) + 5*a - 10*a - 5*a)*(0 + 0 + 1) to l*a + i + f*a**2 and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 20*u + 73970000. Let p be c(0). Suppose p = 141*x - 128*x. What is x rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (6*(0 + (sqrt(192) + 2 - sqrt(192)) - -1*(sqrt(192) - (sqrt(192) - sqrt(192)*2))))**2 + 2 + -4.\nAnswer: 2304*sqrt(3) + 27788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 155*r**4 - 72*r**4 + 7*r**3 - 74*r**4 + (-1 - r**2 + 1)*(r**2 - 4*r**2 - 5*r**2).\nAnswer: 17*r**4 + 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 36569777 and -0.4.\nAnswer: 36569776.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*w - 13 = -0*v, 3*v = 5*w - 17. Let j(q) = -10*q. Let g be j(-1). Suppose -g = -2*a - 3*a. Calculate the remainder when a is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l - 64. Let v be n(-15). Suppose -6*x - v + 17 = 0. Let i(j) = -10*j**3 + j**2 - j. What is i(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 15*c**3 - 573*c**2 + 127*c - 127. Give w(38).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-8)*(-17 + -3). Suppose -24 = c - 4*r, 2*c + o = -3*c + 3*r. What is the second biggest value in 2\/3, c, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from nkfn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 0.3 (c) -2\/5 (d) -382\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -137.06, 0, -39408?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 4. Suppose n - 3 = -4. Let k(p) = -1. Suppose 8 = -q - q. Give n*i(z) + q*k(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/5 (b) -0.03 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/91)\/((-260)\/(-338))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/17 and -47\/2864.\nAnswer: 48688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000103549 rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 + 7*c + 10. Let a(z) be the third derivative of z**5\/60 + z**2. Let d(q) = -6*a(q) + g(q). Let j be d(8). Does 1\/2 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3152, -6309, -9470, -12635, -15804?\n\"Answer: -2*y**2 - 3151*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 13*q + 1100. Suppose q = 7*k + 4*k. Suppose 0 = k*p + 3*p - 67600. Round p to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 (base 6) in base 4?\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29523959221.09164988 - -29523959709. Let w = p - 479.90835. Let h = w + -8. What is h rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 9. Suppose 3*y + 29 = 4*p, 3*p - 5*p + 10 = 0. Let m be f(y). Suppose 2*s = -5*k + 654, -m = 5*k + 3*s - 662. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -17, -1, -685 in decreasing order.\nAnswer: -1, -2, -17, -685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 2341?\nAnswer: 2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47236, 376983, 1272012, 3014965, 5888484, 10175211?\nAnswer: 16157788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)*k**(-1)\/k*(k\/(k**(-1\/6)\/k*k))\/k**7 assuming k is positive.\nAnswer: k**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**8\/7 - s**5\/20 + s**4\/4 - s**3\/2 - 22*s. Find the third derivative of j(u) wrt u.\nAnswer: 960*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4959*u = -4964*u + 4*q + 46, -2*u - 8*q - 20 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -2, 14, -15 in descending order.\nAnswer: 72, 14, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 49a9505?\nAnswer: 49a9502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6*i = 0. Do 2\/67 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10*1)\/(3\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 21742300 to the nearest 100000.\nAnswer: 21700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r**4 + 158276*r**3 - 7119666*r**2\/7 + 14644368*r\/7 - 9762336\/7 = 0. What is r?\nAnswer: 12\/7, 3, 11299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -18911*w + 18912*w - 154, 2*w + 95 = 3*g for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 4)*(-372)\/20. Is 93 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/3))**(-37\/3))**(1\/36) assuming n is positive.\nAnswer: n**(-185\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 + 23*b - 17. Let a be k(7). What is the second biggest value in 0.2, 4, 2\/5, a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -10. Let w(i) = 4*i. Let u(f) = -3*f. Let q be 12\/(-4)*(-4)\/(-6). Determine l*u(y) + q*w(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 1449*g - 1450*g - 6, -3*p - 3*g - 3 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3920*a**4 + 117320*a**3 - 873605*a**2 - 62850*a - 1125.\nAnswer: -5*(a - 15)**2*(28*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.41391ms in nanoseconds?\nAnswer: 45413910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82275.3ng to milligrams.\nAnswer: 0.0822753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6 + (-2 - 192\/(-18)). Suppose t*f - 865 - 1375 = 0. What are the prime factors of f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*(((sqrt(343) + -1)*-4)**2 + sqrt(343) + 1) - ((4 + 2*sqrt(343) - sqrt(343)) + sqrt(343) + sqrt(343)*3*-1)).\nAnswer: -33031 + 1309*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 3*l**2 + 4*l - 1. What is the units digit of n(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 6*m - 3. Let v be w(-5). Let a = -135 + 114. Let j = 23 + a. Solve -v*i = -0*i + j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 28.085. Let g = -11449.565 + 11449. Let m = g + v. What is m rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*-5*sqrt(1331)*-3)**2 - (-1*sqrt(1331) + 3 - (2 + 3*sqrt(1331)))*5.\nAnswer: 1540*sqrt(11) + 4791596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770 is divided by 152?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40088.\nAnswer: 2, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5545061*l**4 + 93605*l**2 + 12 wrt l.\nAnswer: 133081464*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 18*j**2 + 176*j + 73. Give w(-9).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - 0.5999888. What is r rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -430987715, -861975429, -1292963143?\n\"Answer: -430987714*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*a**4*l**3 + 5*a**4*l**2 + a**2*l**2 - 165*a**2*l + 3*l**3 wrt a.\nAnswer: 984*a*l**3 + 120*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 5*z - 10 = 3*q, -4*q - 6 = 3*z. What is q rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -9*l + 6*l, -3*i = l - 6785. Calculate the highest common divisor of i and 511.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 1.307098344?\nAnswer: 14.692901656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 5130.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -3, -4, -5, -1, 2\/5 in decreasing order.\nAnswer: 1.2, 2\/5, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2616*v**2 - v**3 - 2616*v**2 + 15 + 6*v + 4*v. What are the prime factors of h(-5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 4*m**2 + 2*m + 2. Let j be a(-3). Suppose 3*s = j*i - 8*i + 873, 12 = 4*s. Does 36 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 + -0.3?\nAnswer: -298.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -400 - -1005. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-6\/19)*h*h)*h)\/h)**16\/(h**(-1)*h*h\/(h*h*h\/h**21)) assuming h is positive.\nAnswer: h**(-1065\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5417855 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 25*o + 84. Let p be t(-21). Solve p*u - 4 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1512, -37, 1\/18, -4, -0.3?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 50.3. Let g = 2.8 - d. Put 2\/7, 0.3, g in increasing order.\nAnswer: 2\/7, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + n + 2*n**2 + (112 + 170 - 66 - n)*(0 + 0 + n).\nAnswer: n**2 + 216*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93\/(-217))\/((-2)\/(-7)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 5*i = 19867 - 19886, 70 = -2*b + 6*b - 29*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (555\/(-111))\/(392\/84)?\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -26*g**2 - g. Determine l(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15725*v**3 - 30840.\nAnswer: 47175*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v + 4*v**4 - v + v**4 - 8*v**5. Let a(u) = -7*u**5 + 4*u**4 + 2*u. Let i(f) = 5*a(f) - 4*p(f). Find the second derivative of i(g) wrt g.\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -151?\nAnswer: 4\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10433 (base 6) to base 11.\nAnswer: -1109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*m**2 + 119 + 12*m - 32 - 41 - 46.\nAnswer: 34*m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 17 + 25 + 15*p.\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*f**3 - 8*f**3 + 110*f**3 + (-2*f**2 - f**2 + 4*f**2)*(-1 + f + 1) + f**3 - 4*f**3 + f**3 + (0 - 5 + 1)*(-3987*f + 3987*f + 93*f**3).\nAnswer: -279*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1078)\/(-110) + -10)*-15. Determine t so that 12\/7*t**2 + 0 - 12\/7*t**d + 4\/7*t**4 - 4\/7*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f*r**5 + 35*f*r**3 - 9*f + 2*r**5 - 5*r - 1 wrt r?\nAnswer: 120*f*r**3 + 210*f*r + 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3195053*c*x**4 + 3927706*c*x**2 wrt x?\nAnswer: 76681272*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-24)\/(-45)))\/((-94)\/1222*(-26)\/(-4))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11583 and 2869581?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - ((-12)\/4 + 7 + -4). Suppose 0 = 5*o - o - 100. Solve o = -w - c*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**6\/360 - b**5\/20 - b**4\/24 - b**3\/3 - 3*b. Let p(a) be the second derivative of d(a). Calculate p(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l**2 - 9*l + 6. Let v(z) = z**2 + z. Let g(d) = -q(d) - 5*v(d). Let u be g(-6). Solve -c = -u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -18, -99, -264, -543, -966, -1563?\nAnswer: -2364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = -60. Suppose 2*a + 3*r = -8 - 3, 4*a + 4*r + p = 0. Solve n = -n + a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*f**2*h**2 + 2*c*f**2*h + 6*c*f**2 + 40*c*f*h**2 + 114*c*f*h + 2*f**2*h**2 - 2*h**2 wrt h.\nAnswer: 2*c*f**2 + 80*c*f + 4*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 13 = -a. Suppose 919 = 6*m - 3*m + r, -a*m = -4*r - 622. Let g = m - 146. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74502 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8514327.\nAnswer: 3, 2838109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/1 - (-2 + 3). Let w(j) = 9*j**3 - 2*j**2 + 1 + 3 + 4*j**a + 3*j**2. Let i(r) = 10*r**3 + 6*r**2 + 5. Let o(f) = 4*i(f) - 5*w(f). What is o(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-172)\/(-14) - 11). Sort 3, z, -3\/2 in ascending order.\nAnswer: -3\/2, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/2)*s*s)\/s*s)**38*s\/(s**(-5)\/s*s)*s**(-1\/6) assuming s is positive.\nAnswer: s**(377\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4700\/903 < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 327 * 0.0888951\nAnswer: 29.0686977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g + 90 = -g. Let a be 4\/((g + 1 - -5)\/1). Is 522 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -0.043835?\nAnswer: -0.256165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -130032001 (base 4) to base 6\nAnswer: -2251041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 43*z + 139. What is the tens digit of v(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-10) - (-447)\/745. Let z(r) be the second derivative of 2*r + 0 - 13\/20*r**5 - 7*r**2 + x*r**3 + 0*r**4. What is the first derivative of z(n) wrt n?\nAnswer: -39*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 54. Let i = -5 + 14. Calculate the highest common divisor of i and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 59. Let w(q) = q. Let f be w(2). Which is smaller: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147\/15 + (-4)\/(-56)*-154.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, -3, 7, -1, 2, 5 in descending order.\nAnswer: 7, 5, 2, -1, -3, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 divided by -37.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-15) + 2478\/295. Calculate the greatest common divisor of 196 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m + 174. What is y(-29)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552321.2ml in litres?\nAnswer: 552.3212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 11) to base 15\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8329?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4012 - -4022. Solve -3*j + l = 5*s - 5, 0 = -4*j + s + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/4 and 18 - -3256*(-3)\/546?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 75604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(4 + (sqrt(475) - (0 + sqrt(475))))*5*5.\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 8:13 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/((-630)\/(-490)*4\/18). Solve b*s = 200*s + 4*c + 36, 0 = 4*s + 2*c + 30 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**3 + 15*r**2 - r - 14. Give m(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64085 is divided by 433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 87\/(-180) - 2\/(-4). Let m(v) be the third derivative of -p*v**5 + 0 + 0*v**3 + 0*v + 2*v**2 + 0*v**4. Let w(d) = -2*d**2. Determine m(w(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3363)\/(-475) - 4\/50. Do s and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148517470 divided by -1010?\nAnswer: 147047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + j - 1. Let u(o) = 19*o**2 - 4*o + 8. Let p(g) = u(g) + 6*y(g). Let s be p(-1). Solve 3*q + 4 = s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-74994)\/(-7) - 51\/119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13621*y + 23 = 13620*y - 4*i, -3*y + 4*y - 5*i - 22 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - -13) + (-1 - -1). Let g(j) = -j**3 + 11*j**2 - j - 1. Does 16 divide g(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -33361989079?\nAnswer: 33361989077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 16 (b) 5.2 (c) 3 (d) -4 (e) 1\/219 (f) -5\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 607193.7 litres in millilitres?\nAnswer: 607193700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34152, 136597, 307336, 546369, 853696, 1229317?\nAnswer: 1673232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 + 36*k - 40. Let v(c) = -2*c + 4. Let z be v(7). Let j be d(z). Solve i - 3*o + j*o = -9, 3*o = 2*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (173*t - 98134 - 51*t + 98134)*(2 - 6 + 0) as v*t + j and give v.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y**3 + 4*y**2 + 2*y + 1. Determine b(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -769*o**3 - 5*o**5 + 57*o**5 + 753*o**3 + 11*o**2 + 36 wrt o?\nAnswer: 3120*o**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*h**2 + 10934*h - 10934*h - 35*h**2.\nAnswer: -174*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 125460203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 6:01 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozzottottxzxxcxat. Give prob of sequence xxco.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-3*(-21)\/9. Suppose -3*k + 0 = 5*g - 13, 2*k + 3*g = s. Suppose 2 = -3*l + 11. Put l, -5, k in decreasing order.\nAnswer: l, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2370 and 56\/2133?\nAnswer: 21330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(242))*-2.\nAnswer: -22*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h + 329 + 240 = -282 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 1. Let a(i) = -5 - 157*i + 150*i + 1. Determine -a(k) + 3*s(k).\nAnswer: 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/6 - 97469965*w\/3 + 9500394077101225\/6.\nAnswer: (w - 97469965)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-2574)\/(-5720))\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -2.8. Let k = y - 7. Which is the second smallest value? (a) 1\/4 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -19 + (10 - 17) + 31. Let k be (12\/(-10))\/((-6)\/20). Solve -k*p = -5*r - 23, -p + 1 = -v*p - 3*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 72 = 2*i. Solve -8*q + i*q = 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14386 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-48)\/(-21))\/((-20)\/(-70)). Let p be 18 + 0 - 72\/q. Solve 4*a = 3*z + 5, -3*a - z = -p - 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1782 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1350, 7, -4, -2, -65 in increasing order.\nAnswer: -1350, -65, -4, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 5. Let b be t(-4). Let k be (-1 - -4)*b*2. Suppose -k*l + 8 = -2*l. Solve -3*f = -4*s - 5 + 21, -l*s + 22 = -5*f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 14352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l - 2. Let h(c) = 8*c - 5. Let q(r) = -5*r + 1. Suppose -u - 6 = -4*u, 0 = 2*a + 5*u - 6. Let i be q(a). What is i*z(g) - 4*h(g)?\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1139, -5237, -12065, -21623?\nAnswer: -33911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11972 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*m - 28 = -0*s, m - 24 = -s. Let n = s - -50. Let r(p) = -3*p - 3. Let b be r(-4). What is the greatest common factor of b and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 0*r**3 - 1\/105*r**6 - 5*r + 1\/70*r**5 + 0*r**4 + 0*r**2 + 0. Factor o(q).\nAnswer: -2*q**3*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16114 divided by -1151.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 0.5, 2, -3, 1\/15 in decreasing order.\nAnswer: 54, 2, 0.5, 1\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -611, -807, -1341, -2381, -4095?\n\"Answer: -28*q**3 - q**2 + 3*q - 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 9. Suppose s*j + 141 = -9. Let a = 45 + j. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 - 73. Suppose -b*f = -5*d - 192, d - 51 - 31 = -2*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2383136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1088) + 5)**2 + -4 + sqrt(1088) + 1)*1.\nAnswer: -232*sqrt(17) + 9814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**3 - 2*l**2 - 2*l. Let i(j) be the second derivative of -j**5\/20 + j**4\/12 + j**3\/6 - 123*j. What is -6*i(s) - 3*z(s)?\nAnswer: 21*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4087 is divided by 132.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2975\/2, -2, 2\/7?\nAnswer: -2975\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1607 - -2399. Suppose 144 = -2305*o + 2311*o. Calculate the greatest common factor of h and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d\/(d**(2\/5)\/d)*d\/(d*d*d*d*d**(5\/4))*(d*d*d**(-6)\/d)\/(d\/d**(1\/4)*d)*(d**(1\/13)\/(d\/(d\/((d*d**(-2\/3)\/d)\/d))))**(4\/7) assuming d is positive.\nAnswer: d**(-8741\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477.\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 18 + 4 = -2*g, -g = 4*x + 5. Calculate the remainder when (g - 6)\/((-24)\/248) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w - 3 = 0. Which is the nearest to w? (a) 0.5 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1566607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12574842 (base 9) to base 3\nAnswer: 102122111221102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37284*i**3 - 69728*i**2?\nAnswer: -223704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Solve 4*m**r + 8 - 6*m + 0*m**2 - 6 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 u, and 1 b when three letters picked without replacement from buzof?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**2 - 2081*p + 68767. Calculate f(380).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.94777ml in litres?\nAnswer: 0.06794777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*w - 4*r + 4, 3*r = -3. Which is the second biggest value? (a) w (b) 15.6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -23*n. Suppose 0 = -4*b + 590 - 218. Let k(s) be the first derivative of -93*s + 5 + b*s + 1 - s**2. Calculate k(o(t)).\nAnswer: 46*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/h**(-1))))\/((h\/(h**(-5)*h))\/h))\/(h**(-1\/10)*h*h**1) assuming h is positive.\nAnswer: h**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 25*b - 126 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*w - 201 + 1081 = 0 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - 11*u - 22. Suppose 0 = 3*h - 12, 3*p - 2*h + 27 = 4. Is s(p) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5929 is divided by 105?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 = -3*w - 5*q, -q - 376 = -2*w - 5*q. Let k = 193 - w. Let i(p) = 24*p. What is i(k)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 62. Let n = 1 + p. List the prime factors of (n\/15)\/(-1)*27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 12 + 3. Is 0 + d\/((-3)\/223) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 43 + 23. Suppose 4*n - x = n. Suppose n*t = -4*v + 3*t - 20, -3*v - 15 = 4*t. Put v, 5, -2, 4 in increasing order.\nAnswer: v, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-342)\/3420)\/(-2*287\/140).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*(-3)\/6\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.009 (b) 19 (c) 2.9 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 73 = -18. Differentiate u*z**2 + 10*z**2 + 3 - 5*z**2 with respect to z.\nAnswer: 32*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 25*j + 51. Let v be f(24). Let b = 0.112 - -0.088. What is the biggest value in 1, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80129971327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 9*p - 6. Let j be u(9). What is the units digit of (-3)\/j*2 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3 - 182416*h**2\/9 + 142094*h\/9 + 689180\/3 = 0. Calculate h.\nAnswer: -10135, -3, 34\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -18, 0.5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 1. Let h(m) = 2*m - 2. Suppose -3*c - 4*v = 2, -3*c - 6*v - 4 = -v. Give c*h(s) + 6*j(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32722.4 and 5?\nAnswer: -163612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 9:09 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 100 + 97)*(3*b - 2*b + b + 0*b + b - 2*b + (-1 - 1 + 3)*(-2*b + 0 + 0) + 2*b - b - 3*b + b - 2 + 2 - 2*b + 2*b - b - 3*b + b + b)*(-2 - 2 + 5).\nAnswer: -792*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2943447107 to the nearest integer?\nAnswer: 54254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/q)\/q**(-5\/2)*(q\/(q*q\/((q\/(q\/(q\/(q*q**0\/q)))*q*q)\/q)))\/(q*q**(-2\/3))*(((q*q*q**(2\/5))\/q)\/q**0)\/(q**5\/((q*q**(-2\/5))\/q)) assuming q is positive.\nAnswer: q**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 450662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by -5*((-91)\/26)\/((-7)\/(-14))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6519 = 428*v + 1389 - 862 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(77) + (sqrt(77) - (sqrt(77) - (-2*(-3*sqrt(77) + sqrt(77)) + sqrt(77))))))\/(sqrt(77)\/((sqrt(77) - -5*sqrt(77))\/sqrt(11)))*6 + -2.\nAnswer: -432*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*k + 9531 = -3658 - 5357 + 4866 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {s: 1, b: 3, p: 4, q: 1, t: 1, l: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15735*j**2 + 36758*j**2 - 2*j - 7002*j**2.\nAnswer: 45491*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 - 6*r**2 + 3*r**2)*(-30*r**2 - 10*r**2 - 13*r**2) in the form q + y*r**4 + j*r**3 + x*r**2 + d*r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -602 - -606. Suppose 0 = a*c - 5*f - 769, 12*f - 404 = -2*c + 8*f. Is c a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + n - 7 = 0, 6 = -n + 1. What is the third derivative of 10*f**4 + 8*f**4 - 17*f**2 - 7*f**d + 5*f**4 wrt f?\nAnswer: 384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) + (-65)\/(-25). Suppose 4*c - 169 - 5 = k*a, 3*c - a = 128. Calculate the remainder when c is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -0.0078.\nAnswer: -0.000234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-24)\/(-4) + -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29993*b**4 - 30013*b**4 - b - 4*b + 15*b**2 = 0 for b.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 19 = 5*t, 2*n + 253 = t + 268 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144)*3)\/sqrt(9))\/((sqrt(56) - (sqrt(56) - (sqrt(56) + sqrt(392)\/sqrt(7) - sqrt(56))))\/sqrt(7)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001419717 to 5 decimal places.\nAnswer: 0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 40 = -2*t. Solve 0*r = -5*r - t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -174, -386, -598?\n\"Answer: -212*j + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 45171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/12)\/(6\/9) + 2. Solve l*y - 1 = -7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u + 20*u = 516. Let y be u\/(-28) - (-3401)\/(-133). Which is smaller: y or -19?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, -1, -2, 23, 80, 175?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 222.7*0.1\nAnswer: 22.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 2278.\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0, 4, 9, -2 in decreasing order.\nAnswer: 9, 4, 0, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5831889589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 13, 11, -12, 0 in increasing order.\nAnswer: -12, -3, 0, 9, 11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -11*h**3 - 2*h - 1. Let r be i(-1). Let a = r - 5. What is the greatest common divisor of 28 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7635?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 22. Let x be s(8). Let p(a) = -6 + x + 18*a**2 + 4. Let h(f) = -f**2. Determine p(h(q)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-52 - (39 + -46))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*s - 194*s + 969 = 23*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*x - 0*f - 3*f, 4*x = -5*f + 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**5\/4 + 5*i**3\/2 - 5*i**2 + 29*i - 28. Let d(q) be the first derivative of o(q). Find m such that d(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(272\/102*6\/(-2))*-28?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 3*k + k. Let b = 102 - k. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48641288669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**5\/20 - 14*d**4 + 113*d**3\/2 + 1426*d**2. Factor q(w).\nAnswer: -3*(w - 1)*(w + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/7))\/(y*y\/(y*y\/(y\/(y**14*y*y))*y)) assuming y is positive.\nAnswer: y**(121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 - 1500*f**2 - 33224*f + 621600 = 0. What is f?\nAnswer: -350, -37, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13852 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 - o + 4*o - 3*o.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**4 + 5*h**3 - 7*h**2 - 3*h + 2. Let i(g) = 10*g**4 + 10*g**3 - 15*g**2 - 5*g + 5. Let u(f) = -2*i(f) + 5*p(f). Factor u(k).\nAnswer: 5*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.17 + -1.8. Let k = -0.17 + b. Let u be (-1)\/4 - 13\/(-4). Put u, k, -3 in increasing order.\nAnswer: -3, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 10:32 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/3801 + -22772\/64617. Suppose 0 = -2*p - 3 + 1. Let g be p\/8 + (-9)\/(-8). Is g at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*m - 35*m - 15*m + (1 - 1 - 4*m)*(-1 - 1 + 1))*(-2*m + 1 - 1) in the form t*m + z*m**2 + h and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1020217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/4*(-992)\/372?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + (2 + (sqrt(2057) - sqrt(2057)*3) + 3)*6*2 + 0)**2.\nAnswer: -32736*sqrt(17) + 1188676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 = 4*j - 2*l, -4*l + 112 = 3*j - 2*j. Let z be (j\/(-20) + 4)*20\/(-8). Solve 4*w = -3*p + 1 - 9, 4*p + 4 = -z*w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/640 + -2483\/4480. Let w be (-3)\/(-12) + 5\/4. Which is the nearest to 0? (a) 2 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r + 2. Let g(t) be the third derivative of t**4\/12 + 6*t**2 + 94. Calculate f(g(c)).\nAnswer: -6*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.27, 211, 0.1, -245 in increasing order.\nAnswer: -245, -0.27, 0.1, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**6\/3 + 13*a**4\/2 + 125*a**3\/3 - 4*a - 684. What is the third derivative of m(n) wrt n?\nAnswer: -120*n**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1657*u**2 - 11*u + 11. List the prime factors of a(1).\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 9*f**2 + 3. Let k be s(9). Suppose 4*p = 18 - 70. Let t = k - p. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 518766 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11020010 (base 4) to base 13.\nAnswer: 9731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 3}. What is prob of sequence jl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -255 + -10?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 11. Solve 2*a + a + v = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/34307152 and -37\/96074.\nAnswer: 377378672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*m = -85*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4\/4 - 1175*k**3\/4 + 26220*k**2.\nAnswer: -5*k**2*(k - 69)*(k + 304)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2064*-12\nAnswer: 24768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/23 (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 + 0*z**4 - 3*z**4)*(466*z + 4 - 212*z + 379*z).\nAnswer: -1266*z**5 - 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 1:26 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4. Let v(f) = -144*f + 57. Determine -15*n(i) - v(i).\nAnswer: 144*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*z**3 - 690*z**2 - 706*z + 60.\nAnswer: 2*(z - 10)*(z + 1)*(38*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5, 4*a - 10 = -3*n - 9. Solve 24*b = 25*b + a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -0.1 (c) -0.5 (d) 4\/7 (e) -1 (f) 178\/571\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 - -84 - (-1 - -6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*1*(-1)\/(-27). Let x(q) be the third derivative of 1\/270*q**5 + 0*q**4 + 2*q**2 + 0 + 0*q - d*q**3. Factor x(f).\nAnswer: 2*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asaaaiabsiaaisaasa. Give prob of picking 2 s and 1 b.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13854968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 6804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(200) + sqrt(14))\/(sqrt(2) + sqrt(10)\/(sqrt(5) - sqrt(5)*5)).\nAnswer: 22*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(7\/3))**(4\/5))**(-24) assuming v is positive.\nAnswer: v**(128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.3, -3, 0 in ascending order.\nAnswer: -3, -0.3, 0, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**4\/4 + 3*g**3 + 3*g**2\/2 - 8*g + 3. Calculate the remainder when f(-8) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 + (-3 - 8) + 7 - 10 - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = g. Let f = -2 - g. Let l(c) = -c + 8. Let h be l(f). Solve 0*a - 4*a + 4*k = -h, -5*k = -5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 9:10 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 11, -21 in ascending order.\nAnswer: -21, -2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12115324, -12115323, -12115322, -12115321, -12115320?\n\"Answer: y - 12115325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4514 less than 3?\nAnswer: 4517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 183 + 189 - 2*u. Let c be g(4). Let p be (c\/8)\/(54\/(-8)). Which is bigger: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + -0.08. Which is the biggest value? (a) 5 (b) 0 (c) n (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000001000 + 1110111011?\nAnswer: 1110111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -3. Let b = -3959 - -3963. Suppose -1115 = -2*t + 4*a - 53, d*t + b*a = 2184. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2846 + -2916. What is the nearest to t in -6, 0.2, -5, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 810\/37 - 2615\/111. Let t = -3 - -3.1. Let i = -1 - -0.4. What is the closest to i in 0.2, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -844387 at least as big as -8443881\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:44 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14905 (base 15) in base 4?\nAnswer: 100021223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 - 33*m + 5*m**2 + 35*m - 32*m**2 - m**3.\nAnswer: -3*m**3 - 27*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 124 + 86. Let b be o\/(-315) - 6\/(-14). Let y = -7\/10 - -11\/5. What is the closest to -1 in 0.3, y, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.650089663 to four decimal places.\nAnswer: 0.6501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -20. Suppose -25*g - 33 = -41 + 108. Let w(t) = t**2 + t. Let b be w(1). Put g, -3, b, d in descending order.\nAnswer: b, -3, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8412*i + 42 = -8415*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.021 - -24526211099\nAnswer: 24526211099.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from {d: 1, n: 2, m: 4, x: 3, z: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578 - -23?\nAnswer: 2601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/48827 (b) 0 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420*h - 84*h = 78*h - 543 - 1785. Find b, given that 1024\/3 - 22\/3*b**3 - 1\/3*b**h - 128\/3*b - 48*b**2 = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 4)*(-4 + 4 - 4*g) + 0*g - 7*g + 2*g + (2 - 2 - 2)*(3*g + g - 2*g) + 3*g - 5*g + 3*g to the form w + i*g and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2004 is divided by 1000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -937095, -937094, -937093, -937092, -937091, -937090?\n\"Answer: x - 937096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*n = -76*n - 829350000. What is n rounded to the nearest one million?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 14 = -v, 49 = 3*v - 8*v + a. Let c = -8 - v. Solve -3*t = -2*j - 7, j - c*t + 4 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 150\/1433?\nAnswer: 150\/1433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -18*a + 28. Find the second derivative of 5 - 13*l**5 + 1972*l - a - 1949*l wrt l.\nAnswer: -260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -7. Suppose 3*d - 100 - 5 = g. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1151010 and 35235.\nAnswer: 3453030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57561, 57724, 57889, 58056, 58225?\nAnswer: 58396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -17 + 5 + -16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (-8)\/22)\/(28\/22638*21). Solve 4*j - 20 = -5*o, 13*o - 25 = i*o - 5*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -6 + 1 + 3 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 9 = u - 4*u, -4*u - 3*m = 12. Let i = -27 - u. Let k = 48 + i. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23371 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 278833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2, -2\/13, -0.0447852?\nAnswer: -0.0447852","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13479258467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 20 + 4, 5*m + 3*x - 818 = 0. List the prime factors of m.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35\/2, 1\/10, 5311.2, 0 in descending order.\nAnswer: 5311.2, 1\/10, 0, -35\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34438 - 1?\nAnswer: 34437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*z**5 + 3*z**4 + 56593807*z**3 - 117*z**2 - 3*z + 6876 wrt z.\nAnswer: -120*z**2 + 72*z + 339562842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxrxnnirxkqk. What is prob of picking 1 x, 1 n, and 1 i?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/360 and 47\/102?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 0, -0.4 in descending order.\nAnswer: 9, 0, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8653*f*o**5 - 232*f*o**2 + 3*f - 716*o**6 - 2*o**2 - 4*o + 341 wrt o?\nAnswer: 519180*f*o**2 - 85920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = -2*o, 5*o + 12 + 4 = -m. What are the prime factors of 126 - (o + 20\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 79923974?\nAnswer: 79923975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -121, 352, 1133, 2216, 3595?\n\"Answer: -l**3 + 160*l**2 - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y. Let s(u) = -47*u - 749. Let j be s(-16). Let d(n) be the second derivative of 4*n + 0*n**2 + 5\/6*n**j + 0. Calculate f(d(g)).\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - 3\/6*-2. What is the units digit of h\/8 + 1353\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 25084*x + 157301764.\nAnswer: (x + 12542)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 142737515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - (-43 - 8)) + -28.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*d + 261*d + 14*d + 577*d to the form f + g*d and give g.\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j + 0*j - 2*j. Let b be (-3 + 4)\/(2\/(-2)) + 3. Let k(w) = 3*w. Give b*k(x) - 5*a(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0, 23, 66365?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-4) - 15\/20. Suppose k = 5*n + 2 - 17. Find f, given that f**2 + 2 + 6*f**3 - 3*f - f**2 - 2*f**2 - n*f**3 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12563*g + 19187 - 38379 + 19192 to the form s*g + o and give s.\nAnswer: 12563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -8) + (-18 + -1 - 4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -33540.\nAnswer: 1\/6708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38bc - 0?\nAnswer: -38bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-520)\/(-39))\/2*(-2)\/(-12)*18?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 2, v: 2, c: 2}. What is prob of sequence vc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.03 + 0.03. Let g = i - -0.5. Let c = -14 - g. Sort 0.2, c, 0 in decreasing order.\nAnswer: c, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7004, 7209, 7414, 7619?\n\"Answer: 205*v + 6799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 374 and 7675250.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54 + 53240?\nAnswer: 53142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 741989, 741976, 741957, 741932, 741901?\n\"Answer: -3*c**2 - 4*c + 741996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*a**3*c*y**2 - 4*a**3*y**2 + a*c*y**2 + 23*c*y + 3*y**2 wrt a.\nAnswer: -246*a*c*y**2 - 24*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*m + 43*m + 352 = 0. Is (87 - 89)\/(1 - 354\/m) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + r - 6*r = -64, 4 = -r. Let q be 8\/(-3) + 28\/o. Is q > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -59*s**2 - 8*s + 191. Let d(z) = -20*z**2 - 2*z + 63. Let h(f) = -6*c(f) + 17*d(f). What are the prime factors of h(8)?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 22. Let d(f) = -46*f**3 - 2*f**2 + 1. Let g be d(-1). Solve -5*l = v + u, 5*v = 5*l - l + g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t. Let j be m(7). Let q = j + 16. Find the third derivative of 7*k**q - 5*k**2 + 16*k**2 - 27*k**3 + 6*k**2 wrt k.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3913*a + 631*a - 677*a - 2782*a + 1)*(2*a - 2*a - a**3 + (3*a - 5*a + a)*(-5*a**2 + 4*a**2 + 2*a**2)).\nAnswer: 13482*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -858?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from brbbbtrurbbmrbur?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/5))**24)**(-1\/3) assuming j is positive.\nAnswer: j**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44700 divided by 6.\nAnswer: -7450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55448530 and 138621325.\nAnswer: 277242650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1396 and 3798865.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 6:36 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yoooyyogyyy. What is prob of sequence yoyo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 21*l + 105 = 0, -9925*s = -9930*s + 4*l - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 16 - 0, 0 = -2*p - 3*c + 16. Let r be (-4 - 0)*(-1)\/p. Factor -4 + 4 - 2*m + 3*m + m**r.\nAnswer: m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -523 - -819. List the prime factors of y.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in -147927, 2\/5, -6, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4947 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*k + 6. Let i be 84\/24 - (-3)\/k. Solve -5*y - 2*c + 22 = 0, 2*c + 7 = y + i*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 0 (c) -233 (d) 0.2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31980 and 46428564.\nAnswer: 232142820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 180? (a) -1\/5 (b) 0.76 (c) -1\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5142 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*j - 386*j - j - 105 + 794003*j**2 + j**4 - 102*j**3 - 794315*j**2 = 0. What is j?\nAnswer: -1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 12 = -4*j + 12*g, -2*j + 2*g = 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61214 and 6350.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxgxgxxggggxxggg. Give prob of sequence ggxg.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = a - 7 + 8, -140*v + 150*v + 3*a + 3 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333 = 3*q - 20*j + 18*j, 7*q - 3*j = 772. Calculate the remainder when 534 is divided by q.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7 - 2*h + 5*h + 6*h. Let u(y) = -3*y + 51. Let l be u(15). Let o(f) = -f - 1. Let x(c) = -c - 3. Let p(n) = 2*o(n) - x(n). Give l*p(b) + z(b).\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8 = -q. Let s(n) = 12*n + 1. Let m be s(q). Suppose 0 = 4*w - 2 - 34. Solve m = 4*b + w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1970231, -1970316, -1970401?\n\"Answer: -85*a - 1970146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 12 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 19*m**2 + 4*m - 8. Determine l(-3).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 - 125.66. Let n = -15.76 + 16. Let a = n - j. Is 0.4 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11570 + 12299. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5050215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 q, and 1 t when four letters picked without replacement from ytqpyyt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.16 + -13. Let h = -0.24 - p. What is the nearest to 3 in 2\/7, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3954393*s + 834 = 3954466*s - 1137 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 32*q + 14. What is b(14)?\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 7:20 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 9) to base 11\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.494 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 192732, -7, 45 in ascending order.\nAnswer: -7, 45, 192732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 - 76*q**2 + 3*q + 41. Calculate c(-38).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 - -111) + -81 + 40?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -128. Let w = q - -116. What is the nearest to -1\/3 in 9, -1\/6, w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6) + 42\/4. Let c = x + -3. Let v = c - -14. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*n = -13*n + 87898. What is the remainder when n is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -150, -210, -300, -414, -546, -690, -840, -990?\n\"Answer: h**3 - 21*h**2 - 4*h - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 110 = 3*q. What is the highest common factor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {d: 1, l: 4, g: 4, t: 1}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192))**2 + 4 - (sqrt(192) + 2) - ((sqrt(30) + (2*sqrt(240))\/sqrt(8))\/sqrt(10)*6)**2.\nAnswer: -778 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - d**2 + 2*d - 4. Let c be h(2). Suppose -2*i = -4*x - c*i + 80, 4*i - 52 = -2*x. What is the highest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(0 + 1*sqrt(245))**2 - ((-4 + sqrt(90)\/sqrt(2))**2 + (-1 + sqrt(10)\/sqrt(2) + -3)**2).\nAnswer: -5962 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*r**5 - 1268*r**4 + 2*r**3 - 26275*r**2 - 2*r + 2 wrt r.\nAnswer: -2880*r**2 - 30432*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/3, 9, 3, 7 in ascending order.\nAnswer: 3, 17\/3, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 169 + -106. Suppose -n = -6*n + 4*o + 15, -n + 3 = 4*o. Suppose v - n*v = -64. Calculate the remainder when d is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 2 + 1)\/1. Suppose -15*d = -3*d - 36. Let y be d\/n*56\/(-12). What is the greatest common divisor of y and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (3 + sqrt(2736) + -1 - (-4 + 2*sqrt(2736))) + 4*(sqrt(2736) + -1) + -6*(sqrt(2736) + 1)).\nAnswer: 18 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -928.87034 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48156 + -2407681\/50. Calculate the common denominator of ((-1656)\/(-1840))\/(2\/(-16)) and a.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6713 divided by 5\nAnswer: 6713\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*u = 24, 7*i = 10*i - u - 8. Suppose j + 14 = 2*z, 5*j - 5 = -i*z - z. Let r(y) be the first derivative of -y**2\/2 - y - 1. Calculate r(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27961 = 827*b - 9767 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bddoobodbbvddddb. Give prob of picking 1 d and 2 o.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/5)\/((45\/(-5))\/32715). Suppose -5*q + 15 = -5, 4*q = 2*n - h. What are the prime factors of n?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*h**3 - 8*h**2 + 8*h**2 + 1504*h**3.\nAnswer: 1887*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 630 and 84.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-36) - (-1)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 8 = b. Let a(y) = -y - 3. Let l be a(-5). Let d(t) = -l - 7*t**2 + t + 0*t + b*t**2 + t**2. Let i(z) = z**2 - z + 1. Determine d(p) + 3*i(p).\nAnswer: -p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = n + 4*n. Suppose -3*u + 3 + 5 = 2*i, -20 = -5*i - 3*u. Suppose i*k = 6*k - 4. Solve k + n = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0.13, -4\/9 in descending order.\nAnswer: 14, 0.13, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2 - 21517296*j - 115748506787904 = 0. Calculate j.\nAnswer: -10758648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**7\/7 - 25*c**3\/6 - 9*c**2. What is the first derivative of s(g) wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 8. Let h be c(6). Put h, 3, -1, 0 in descending order.\nAnswer: 3, 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 + 3324*y\/11 - 132678\/11.\nAnswer: 2*(y - 39)*(y + 1701)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*z - 27200 = 118*z. Calculate the greatest common divisor of 440 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b - 50. Suppose 5*t - 1950 = 15*t. Let z = -125 - t. What is the highest common divisor of b and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -27. Suppose 0*v + 1 = v - 3*x, -2*x + o = v. What is the closest to 1 in v, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1207? (a) -4 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1100\/(-870) - 5\/(435\/6)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -617*j + 3092. Let l be g(5). Let x(z) = -z**3 + 9*z**2 - 11*z - 36. Determine x(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+14623450\nAnswer: 14623449.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 + -166. Let g(q) = q - 2. Let w be g(6). Let i be w\/18 - y\/9. What is i rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 1. Let l = g + -9. Let h = 6 + -2. What is the remainder when l is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 a when four letters picked without replacement from icdcawaaiiiaww.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-80) + 247\/104)*((-40)\/15 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3237 - 0.1666.\nAnswer: 3236.8334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003969822 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.383 + 0.017. What is the nearest to -2 in -0.4, -4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126585789*u**3 + 72*u - 20*u - 126585798*u**3 - 52*u.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 0.034 (c) 0.4 (d) 1\/6 (e) 18.88\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13d35 (base 14) in base 7?\nAnswer: 263365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r*(r*r**(1\/3))\/r)\/r*r\/r**(-1\/41))**(-46) assuming r is positive.\nAnswer: r**(-18998\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369 + 947 = 181*h - 759*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 55\/6 - (-15)\/(-90) - -4. Factor 5*k + 0*k**2 + 12*k**2 - j*k**2.\nAnswer: -k*(k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-6)))**(-23)\/(z**(2\/45)*z*z\/z**(-16)) assuming z is positive.\nAnswer: z**(5398\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1710\/(-12))\/5*4. Let l = m + 250. What is the lowest common multiple of l and 2?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/9636 and 65\/28032.\nAnswer: 308352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14004114 (base 6) to base 2\nAnswer: -1110010001000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-9)*(-1890)\/504?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 43, -4, 245, -8.3.\nAnswer: -8.3, -4, -3, 43, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - 5 - -1 - (-9 + 2). Suppose 3*j + 8 = 4*j. Suppose -z + j = q, 0 = 2*q - 7*q. Calculate the greatest common factor of c and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 42*t**3 - 15*t**2 - t + 61. Is z(21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {v: 1, u: 5, i: 1, r: 7, f: 1, w: 2}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -w + 13, 5*k + 7 = -5*w + 2*k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-418)\/(-13) - (-11)\/(572\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-1)\/(-1))\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 + 5. Let b(j) = 31*j**2 - 11*j - 26. Let s be b(-2). Let t = -137 + s. Let x(c) = -11*c**2 - 14. Determine t*y(g) - 6*x(g).\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -855273 to the nearest 10000.\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13 and -267.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 2*(0 + sqrt(11)) + -5)**2.\nAnswer: -30*sqrt(11) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 12*o**3 + 3 - 13*o**3 + 10*o**3 - 5*o to the form w*o + n*o**2 + l + x*o**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**3 - 6*q**2 - 5*q + 2. Determine u(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 13*v + 11 = -3*d, 15 = 5*v - 5*d. Which is smaller: v or -109?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 12:50 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184616 is divided by 12307?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12514.4 times 3\nAnswer: -37543.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-16 + -18 + 45)) + 60?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 1688 = 3*q - 6*p, 2*p + 2808 = 5*q. Calculate the remainder when q is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-44)\/(-96) + 1. Let b(r) be the first derivative of 1\/2*r - g*r**3 - 3 - 1\/8*r**2. Factor b(x).\nAnswer: -(x - 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 125, 127?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(297) - (sqrt(264) + sqrt(264)*-1)\/sqrt(8))\/((sqrt(3) + 2*sqrt(3) + sqrt(3))*2*-2)*3 + 4.\nAnswer: 9*sqrt(11)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -395 + 772. List the prime factors of q.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898814558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24565596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*z = 84*z + 12. Let c = 8 - z. Suppose c*s - 2428 = 766. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278200\/1070*1\/10.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 65. Let q be ((-2)\/v)\/((-60)\/18 - -3). Let y(n) = -n**3 - 3*n**2 - 2*n + 2. Let w be y(-2). Sort -1, w, q in ascending order.\nAnswer: q, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7292*w**4 + 2*w + 73938?\nAnswer: 87504*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(132)*1)\/((1*sqrt(132))\/sqrt(11)) + 5*(sqrt(11) - sqrt(66)\/(sqrt(6) - sqrt(24)))*3.\nAnswer: 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -101001 (base 2) to base 8\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*r. Let x be r - 15\/(1\/(-1)). What is the greatest common factor of 6 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 0.22, -4.1, -1\/3, -1\/18 in descending order.\nAnswer: 37, 0.22, -1\/18, -1\/3, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 24. Give a(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, s: 5, i: 6, d: 1}. What is prob of picking 3 s and 1 d?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - y - 2. Let k(d) = -d**2 - 5*d + 4. Let c be k(-6). Calculate z(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 19*y - 4507. Give g(215).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-1\/11)*o**(2\/17)*o)**(-2\/5) assuming o is positive.\nAnswer: o**(-240\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -23*d**3\/6 + 55*d**2 - 4408*d. Calculate o(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 - 195. Let c(q) = -1 - 1 - 14*q + 16*q + 0. Let x(l) = 9*l - 9. Let p be (-25 - 1)*(1 - 2). Determine h*x(m) + p*c(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*t - 19*t - 324 = 0. What is the second smallest value in -0.2, t, -31?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154440401548 less than -233?\nAnswer: -154440401781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11293a (base 11) to base 14.\nAnswer: 495a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4840 + -2669. List the prime factors of p.\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q + 195 = 31*q. Solve -8*g + 10 = -q*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Let j(r) = r**2 + 19*r - 1. Suppose 5 = 106*q + 111. Calculate q*j(m) - 6*l(m).\nAnswer: -m**2 - 13*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/2)\/j**0*j**8\/(j\/((j\/j**(3\/5))\/j)) assuming j is positive.\nAnswer: j**(69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**2 - 8*o - 56. Let t(f) = 3*f**2 + 4*f + 28. Let p(x) = 7*t(x) + 4*v(x). Let m be 56\/(-4)*(0 + -1). What is the units digit of p(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -344, -775, -1378, -2153, -3100, -4219?\nAnswer: -5510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v + 15. Let h be o(0). Does 28 divide ((-5950)\/h)\/(-17)*(-48)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -85*o. Let m(y) = -y. Let h(w) = k(w) + 4*m(w). Let f(q) = 5*q - 6099 + 2*q - 5*q + 6099. Give f(h(p)).\nAnswer: -178*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckc when three letters picked without replacement from {k: 3, c: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 144179432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 2*u + 0*u + (-1 + 2 - 3)*(u - 2*u + 3*u) + 2 + 4*u - 2)*(0 + 2*u + 0)*(-294*u - 73*u + 33*u).\nAnswer: -1336*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91084*z + 19660 = 90641*z - 5148 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 50*d = 46*d + 5, 2*y + 4*d + 10 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(6\/(-54)))\/((2 - -2) + -7). Suppose 0 = -d - d + 14. Solve 0 = q*n - d*n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6)*9\/6*18. Solve x = 3*u - 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6148137 - -5?\nAnswer: -6148132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56254.\nAnswer: 2, 11, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 23*o**2 - 3*o + 9 - 4*o - 22*o**2. Let s be m(5). Let w be 2*1 + (-32)\/s. Solve 2*d - w = -5*b - d, -d - 7 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001026237003 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 715881.63 rounded to the nearest 1000?\nAnswer: 716000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7 - 4 = -5*h, -5*i + 13 = -2*h. Suppose h = -4*r + 9. Suppose -12 = r*o - 4. Which is greater: o or -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from dbdnnrbrn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 65. Suppose 82*p = 139 + 25. What is the closest to 2 in -7, 0.4, m, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20317992.\nAnswer: 2, 3, 17, 19, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/(-1 - (-8001)\/(-252)).\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2335769 - 69*s + 2335769.\nAnswer: -69*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3002012 - -2033?\nAnswer: 3010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7711813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - (4 - 2))*29\/(-2). Let q = s + 49. Let x be (q\/15)\/((-3)\/15). Solve 5*o - 19 = -x*m, -2*o - m = -0*o - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2244640?\nAnswer: 2, 5, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1836835 and 888140.\nAnswer: 80820740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*r**2 - 3*r + 1 - 39*r**2 + 5*r to the form t*r**2 + x*r + w and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289 is divided by 423?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 + 103. Let g(t) = -t**2 - 3*t + 6. Let q be g(h). Solve 3*m - 3 = a, 0 = -6*a + q*a - 5*m + 22 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5614 + 39304\/7. Find the common denominator of -15\/28 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1876, -1882, -1900, -1936, -1996, -2086, -2212, -2380?\n\"Answer: -z**3 + z - 1876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/3)\/((-10)\/(-15)). What is the least common multiple of 12 and 25 + (y - (-6 - -2))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4\/(-1) + ((-68)\/8)\/((-27)\/1782)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1161 and 75721581.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/5, 1.1, 10, -20, -1\/2, -3\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4\/5 + 7516*b**3\/5 + 3194536*b**2\/5 + 79245648*b + 155947680 = 0.\nAnswer: -1337, -270, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**5 + 5*b - 6*b - 9*b)*(-5 + 0 - 1).\nAnswer: -12*b**5 + 60*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*(sqrt(684) + 2*sqrt(684))*6 - 3*(-2 + (sqrt(19) - (sqrt(19) + 1 - sqrt(19))))*-6*6)**2.\nAnswer: -279936*sqrt(19) + 3650832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) -2\/5 (c) 2\/9 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 2*z**2 - 2*z**4)*(1 - 1 - 1)*(-389 - 49 - 136).\nAnswer: -1148*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196398427?\nAnswer: 196398427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*b + 1737 = -1383 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238211*v**2 + 238233*v**2 - 476434*v**2.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 322301223320?\nAnswer: -322301223322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 14*q**2 - 130*q - 138. Give f(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*u - 264 = -6*u. Solve -78 = u*l - 9*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.852139 milligrams?\nAnswer: 6852139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99944, -99942, -99940, -99938, -99936?\nAnswer: -99934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 12. Let g be z(-15). Let y(t) = 7*t**2 - 7*t - 9 + 8 + t**2 + g*t. What are the prime factors of y(-4)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 + -0.46. Let z(v) = 5*v + 1. Let g be z(-1). Which is the closest to -0.1? (a) l (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 0 - 7\/20*d**5 - 4*d + 0*d**4 + 0*d**2 + 7\/2*d**3. What is the second derivative of g(u) wrt u?\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-5)\/(15\/24). Suppose -16 = a - d*a. Solve 3*r - 1 = -a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 13792824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:12 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201 divided by -201.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 16 = 4*v, 6 = -v - u + 2. Let a(z) = -4*z**3 + 2*z**2 - 3*z - 12. Is 24 a factor of a(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = m - 3, -3*m + 5*x + 9 = -0*x. Let i be 2*(18\/(-3))\/(-6). Factor 1\/2*c**4 + 0 + c**i + 0*c - 3\/2*c**m.\nAnswer: c**2*(c - 2)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 19*g + 543. Give c(-29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134475 is divided by 5172.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 40*r - 1. Let p be h(-2). What are the prime factors of p\/(-4) + 1\/(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**2 - 51*f + 8. Let i(h) = -h**2 - 13*h + 2. Let l(q) = -9*i(q) + 2*j(q). Let m be l(15). Sort -3, 4, m in increasing order.\nAnswer: -3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2253912 or -2253923?\nAnswer: -2253912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (-5)\/(-2)) + 747\/6. Is 11 a factor of (-13 - r)*(-2)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 4 = 0, 18*g - 15*g - b - 14 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7189, -7216, -7247, -7282?\n\"Answer: -2*j**2 - 21*j - 7166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 75, 109, 143, 177?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m**2 - 815*m + 3848. Calculate d(5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m + 11*m + 2*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/4568 and -103\/88.\nAnswer: 50248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 155692349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72*h**2 + 0 - 5*h**3 + 79 - 2*h**4 + 5*h**3 wrt h?\nAnswer: -8*h**3 + 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 13*z**2 - 15*z + 14. Let n be o(14). Suppose -5*u - 108 = -2*d, n = -5*u - 4*d - 57 - 27. Which is smaller: -4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/43010 and -101\/4276712?\nAnswer: 363520520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 390 divided by 13\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154265929?\nAnswer: 10979, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 14*k. Let j(a) = -7*a**2 - 6*a + 6. Let v(f) = 15*f**2 + 13*f - 13. Let u(q) = 13*j(q) + 6*v(q). What is u(l(h))?\nAnswer: -196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-325)\/195*3\/(-15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14983b (base 16) in base 10?\nAnswer: -1349691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 35 = 3*s + 2*s, -3*y = -s + 29 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (6 + -13)) + -8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007558184925 to five decimal places.\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 809579*n*x - 884037*x with respect to n.\nAnswer: 809579*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5, -3*m + 7799 = -2*i + 4*i. Is m a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -278439008*g**3 + 242350538.\nAnswer: -835317024*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.024.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 269, 456, 643?\n\"Answer: 187*t + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8322*b**3*h*k**3 - 11*b**3*h*k**2 + 2*b**2*h*k**2 - 5*b**2*k**3 + 1058*b**2 - 3*b*h*k**3 + 2*b*h*k**2 wrt b?\nAnswer: -49932*h*k**3 - 66*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 7605?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169*u**3 - 2*u - 31?\nAnswer: -1014*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 5*q + 75. Let v be c(-16). Suppose -3*a = -10*p + 9*p - 393, v = 3*a + 5*p. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 19*l**2 - l + 14. Let r be p(19). Which is the biggest value? (a) r (b) -3 (c) -1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3219213387, 3219213378, 3219213357, 3219213318, 3219213255, 3219213162?\n\"Answer: -i**3 - 2*i + 3219213390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132460 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/6 + -2*(-8)\/48. Solve -r*c + c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2604*k**3*y**2 - 84*k**3*y - 4*k**2*y + 2*k*y**2 - 13*k - 113*y**2 - 7 wrt k?\nAnswer: -15624*y**2 - 504*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3176, -6344, -9512, -12680, -15848, -19016?\n\"Answer: -3168*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*h + 7*h**2 - 473 - 6*h**2 + 155*h - 47*h wrt h?\nAnswer: 2*h + 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**4\/12 - u**3\/3 + 5*u**2\/2 - 2*u. Calculate the lowest common multiple of d(-3) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(170)*1 - sqrt(170)) + sqrt(170))\/sqrt(10) + (-6*(sqrt(1700) + -1 + sqrt(1700) - sqrt(1700)))**2 + 1.\nAnswer: -719*sqrt(17) + 61237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/7 and -43\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 + 7)*(-8*i**2 - 13*i**2 + 9*i**2).\nAnswer: -168*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -167 + 172. Let d(b) = -4*b + 2. Calculate the remainder when d(-3) is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*g + 148*g = 62*g - 836 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1265*f - 1113. What is the thousands digit of d(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/20*-1 + (180\/(-176) - -1). Let v(d) = -d**2 + 2*d - 1. Let i be v(1). Which is bigger: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-39)\/26*(-10)\/3. Suppose g*j - 186 + 16 = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 6) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/24)\/((-1)\/(-21)). Calculate the greatest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 888088454989*j**3 - 888088454990*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 k when three letters picked without replacement from aakak.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 5200458887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from zzsoznszzsszzsnnzzlz?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3561*j**3*p + 11039*j**3 + j**2*p + 27*j**2 + 7*p + 20473 wrt j.\nAnswer: -21366*p + 66234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d - 4. Suppose 3*r + 10 = 5*r, -3*m + 32 = 4*r. What is the smallest common multiple of s(-4) and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 13. List the prime factors of k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 44*i**3 - 49*i**2 - i + 131. What is the hundreds digit of g(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 9, l: 10}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5 + 5. Suppose h = 3*p + 37, -h + 0*p + 61 = l*p. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4))**45\/(y**31*y**12))**(-29) assuming y is positive.\nAnswer: y**(6293\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (134 - 456 - -103) + 99\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l + 24. Let d(w) = 15*w**2 - 85*w - 27. Let q be d(6). Calculate p(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4*u - 4*u - 2*u - 1 + 1 + 1 - 1 + u + (0 - 2*u + 0)*(3 - 2 - 3) - 2*u - 2*u + 2*u)*(-1 + 17 - 9).\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 4. Suppose 6 - g = f. Suppose -4*m - k = 3480, 5*m + 0*k = -f*k - 4350. Round m to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0 (c) -6\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + -0.04. What is the third biggest value in z, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 31080\/32 - 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3 + 13328*i**2 - 22016680*i - 626960096 = 0. What is i?\nAnswer: -28, 3346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/9)*j)\/(j*(j\/(j*j*j**22))\/j*j) assuming j is positive.\nAnswer: j**(211\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0*i + i)*(-1 + 7 + 5)*(0 + 0 - 1) + 6 - 6 - 7*i.\nAnswer: -40*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 e when four letters picked without replacement from {y: 2, l: 6, s: 1, n: 1, e: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {r: 9, l: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.93 - 669?\nAnswer: -785.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/(-49) - (-285)\/21. Suppose 3*d + 3*k - x = -k, -33 = -5*d + 3*k. What is the first derivative of -9 - 7 + d - 2*w**3 + 0*w**3 wrt w?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, n: 4, o: 2, a: 1, c: 2}. What is prob of sequence nod?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 4*n - 5*q + 1, -3*n - 2 = -5*q. Let k = 3 + n. Solve 8 = k*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39 and 21.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uut when three letters picked without replacement from {u: 2, t: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 2:18 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25157*c**2 - 5465*c**3 + 288*c**3 + 32477*c**2 wrt c?\nAnswer: -31062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 1. Let f be u(10). Let z be 2\/f + (-344)\/(-72). Suppose 6*r - r + t = 3381, -z*t = r - 657. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*w - 67*w = -8877 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d + 3*d + 6 + 4*d + 2. Let o be v(5). Factor 0*g - 39*g**2 - 9 + 48*g**2 - o*g**3 + 3*g.\nAnswer: -3*(g - 3)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -611\/1544 - -4\/193. Calculate the common denominator of a and 106\/32 + 0 - -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, t: 3, w: 5}. Give prob of picking 1 w, 1 t, and 1 g.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1271750 by -10.\nAnswer: 127175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -37184.85514 to the nearest one thousand.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**5 - 56*g**4 - 180*g**3 - 184*g**2 - 62*g = 0.\nAnswer: -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -13. Factor d*q + q + 9*q**2 + 5*q**4 - 8*q**4.\nAnswer: -3*q*(q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115 times 0.1\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69\/12746 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b*i*z - 25*b*z**3 + b*z**2 - 9*i*z**5 - 245*i*z**3 + i*z**2 + 326*i*z - i wrt z?\nAnswer: -150*b - 540*i*z**2 - 1470*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwu when three letters picked without replacement from {h: 1, r: 1, j: 1, u: 2, w: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 12731913?\nAnswer: -1273190d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/8 - j - 2.\nAnswer: -(j + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*g + 7 = 0, -558*g + 554*g = r + 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37672.\nAnswer: 2, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 275*b - 271*b + 12, -o - 5*b - 15 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 842 - 833 - g + 2*g. Is f(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (18 - 10)) + -26 - (56 + -50)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (180\/25)\/(-6)*-90 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -26747*f**3 + f + f + 26748*f**3 - 3. Let c(l) = -l + 3*l**3 + 3 + 0 + 8*l - 13. Determine -4*c(z) + 14*r(z).\nAnswer: 2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3 - 62*l**2 - 961*l = 0.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/144 + (-16160)\/60*(-2)\/24?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times -8\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 123 and 24.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18714150791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 10*l - 11*l, 0 = 2*w - 4*l + 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -348*t + 343*t - 5*h + 45, 0 = 2*t - 4*h + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -4, 0.05, -121, 5, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 160021392101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14600 - -26377. Round t to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163646 = 21*d - 166621. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2602*f + 2597*f + 35, 5*f - 5 = 3*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/175095 - -350212\/1926045. Let z = -0.33 + 0.09. Which is the closest to 0.1? (a) 3 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60633060.\nAnswer: 2, 3, 5, 23, 53, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-23))**(18\/11) assuming h is positive.\nAnswer: h**(-414\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 = -103*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 1308 = 4*i. Suppose 5*p = -u + 18 + i, 0 = -3*u - 9. Let f = -14 + p. What is the greatest common factor of 204 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*h + 51 + 63. Let y(t) = -t**3 - 9*t**2 - 8*t + 6. Determine y(h).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482 - 5*s**3 + 482.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -4*y - 0*y - 72, 3*y = 2*y - 8*l - 27 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17\/3 + 5. Which is bigger: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a2 - 7054?\nAnswer: -6d92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -488, -491, -496, -503, -512?\n\"Answer: -q**2 - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(684)*1)**2 + -3 + sqrt(684).\nAnswer: 6*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*-11968\nAnswer: -11968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from cuoukokouuo.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378314 and 1592438?\nAnswer: 68474834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(48)\/sqrt(6) - sqrt(8)))\/sqrt(4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122566 = 444*m + 49306. Which is greater: m or -35?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1968 + -6353. Let y = n + 41449\/5. Let g = -31 - y. Is g not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 750*g*m**3 + 39*g*m**2 - g*m - 6 wrt m?\nAnswer: 4500*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*l - 579*l + 103088 = 53*l + 409*l for l.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/18 - (5\/(-2))\/1) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*((-38)\/(-8) - 4). Suppose -5*d - w*x - 22 = -1, -3*d - x - 11 = 0. Which is bigger: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 134. Let x(j) = -5*j**2. What is s(x(b))?\nAnswer: 10*b**2 - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 31*n**3\/6 - n. What is the tens digit of x(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(26\/3)*(i\/(i\/(i\/((((i\/(i**0*i))\/i)\/i)\/i))))**(2\/15) assuming i is positive.\nAnswer: i**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 63140821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - -3) + -17 - (27 + 2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 + 6)\/(25\/15))\/((-78)\/(-20))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilometer in meters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/212458 and 59\/342?\nAnswer: 1912122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a*a*a**(-4\/5)))\/a)\/a**(-5))\/((a*a\/(a\/a**(-4)))\/a**(1\/4)))\/(a**3*a*a*a**(3\/7))**(1\/11) assuming a is positive.\nAnswer: a**(10097\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**4 - 25*i**2 + 26*i**2 + 33*i**2 - 2*i**3 - i to the form z*i + q*i**3 + g + p*i**4 + y*i**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 14 - 19 - 10 + 0*g**3 + 14.\nAnswer: 2*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 1:38 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*t**2 + 0)*(-6*t + t - 3*t) + (-t**2 - t**2 + 4*t**2)*(5*t - 4*t - 2*t) - 28 + 28 - 11*t**3.\nAnswer: -29*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*a = 7783 + 27 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4987143 divided by 554127.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167*f**2*u**3 - 7*f*u**2 - 2*u**3 + 4*u wrt f?\nAnswer: 334*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.35 + 0.35. Let l = -10 - i. Let g = l - 1. Put g, -2, 1\/6 in increasing order.\nAnswer: -2, 1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157\/3 - -53. Let z = -0.046 - 2.154. Let f = 1.2 + z. What is the closest to 1\/2 in y, f, -0.04?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38389\/211321 - 3\/19211. Which is the smallest value? (a) r (b) -2\/3 (c) -164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 6) to base 4\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, u: 6, w: 1, o: 1, p: 2}. What is prob of sequence uw?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 7. Let a be g(-7). Suppose -3*q + a = -48. Suppose q = 5*j - 20. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*m + 63868, 0 = 3*c - 4*m + 22314 - 213892. Is c a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**5\/60 - 7*b**4\/24 - b**3\/3 + b**2. Calculate the remainder when 6 is divided by a(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 12*g + 106*f - 104*f, 5*g + 9 = 4*f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/681501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 172208143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9988563*w**3 - 14105*w**2 + 31*w + 11 wrt w?\nAnswer: -59931378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 968*i**4 - 801*i.\nAnswer: 11616*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (154\/(-5) + (-52)\/(-65))*54\/36.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = m - 4*m + 10, 3*m - 20 = -4*c. Suppose m*u - 62 = -3*k, 2*k - 6*k + 51 = -u. Let i = -277 + 431. Calculate the greatest common divisor of i and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6 - 12 + 0*z + z. Let o be t(8). Solve -o*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27\/1238 - -62843\/14856. Let n be (-924)\/(-99)*(-82)\/(-8). Let c = 95 - n. Find the common denominator of c and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -4 (c) -2 (d) 2\/73 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1934313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8807 - -3170. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2460971964.\nAnswer: 2, 3, 11, 127, 146801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 118\/7 - 2\/(-14). Suppose -z*a + 12 = -13*a. What is t in 2*t**4 + t**2 + t**3 - 5*t**3 + 8*t**a + t**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - z + 41 = 0, 5*v = v - 3*z + 24. Suppose -v*f + 10*f = -4. Is 2\/9 + f\/90*-355 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w + 6. Let h(d) = -d + 1. Let k = 8 + -4. Suppose 0 = c + k*c + 3*p - 16, -4*p + 8 = 4*c. Calculate c*h(v) - a(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/5)*g*g**(-6)*(g*g\/g**(-9))**(-39) assuming g is positive.\nAnswer: g**(-2166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 809974 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*h - 130248, 4*p + 3*h - 20759 - 152855 = 0. What is the ten thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -6*y - 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7163068757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(3\/(-5)) + -2. Suppose -2*r = 3*u + 2 - 22, 0 = -m*u - 6. Calculate the highest common factor of r and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 496 = 5*h, 5*h - 403 = 5*c + 72. Suppose 5*f - 105 = -2*a - 39, 5*a - f = 138. What is the common denominator of 81\/4 and ((-24)\/a)\/((-2)\/h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74? (a) 0.11 (b) 247 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000375 rounded to 7 dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/122343718 and -149\/12.\nAnswer: 734062308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*t + 12, 0*t - 4*t = 4. Let l(r) = -2*r**3 + r**2 + 2*r + 1. Let g be l(o). What is g rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75*q - 501?\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 516 (base 10) to base 4\nAnswer: 20010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 291\/20 + -11333\/60. Let a = -2305\/12 - g. What is the common denominator of 4\/(-6) - (-255)\/99 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -337210\/11 - -337246\/11. Determine n so that 38\/11 - 2\/11*n**2 + l*n = 0.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 475\/((-950)\/28)*((-2)\/(-1))\/(-10)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 0)*(2 + 0 + 1)*(0 - 2 + 4)*(u - 3*u + 0*u).\nAnswer: 60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 258*t*w**4 - t*w**2 + 2*t - 6*w + 111751 wrt w?\nAnswer: 1032*t*w**3 - 2*t*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -559*f - 2787*f - 2766*f - 1072*f - 4998*f to x + c*f and give c.\nAnswer: -12182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 12 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/6)\/(-1*(-10)\/1395). Are 185 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1101980 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045882461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5 - 2\/15*h**2 - 4\/5*h.\nAnswer: -2*(h + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*u - 46 - 20, 0 = 5*n - 2*u - 110. Calculate the highest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 7. Let q = -9.171 + i. Round q to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be -1038*(2 - 8\/3). Suppose -2*m = 4*a - w, 0*a = 4*m - 2*a - 1344. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p**2 - 11*p + 7*p**2 + p**2 + 12*p**3 + 10*p to the form n + w*p**3 + z*p**2 + g*p and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 39 = -14*u, 2840*n - 2835*n - 4*u - 3 = -8*u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**4 - 20*w**3\/3 - 268*w**2 - 960*w + 6671. Factor q(x).\nAnswer: 4*(x - 15)*(x + 2)*(x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h - 16. Let c be t(-11). Suppose 5*p + 91 = 2*b, -b - 2*p + c = -0*b. Let j = b - -2. Calculate the highest common divisor of j and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -3 + 50 + -20\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - (58 + 15) - -20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*t - 4. Let j = t + 11. Suppose -5*a - j*s + 30 = -11*s, 3*a = s + 14. Solve -2*h = 5*f + 3, -a*f - 7*h = -3*h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**5\/30 - 4*z**2 + 5*z. Let y(v) be the first derivative of b(v). Let m(u) = -6*u**2. What is y(m(w))?\nAnswer: 72*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33.3 - -38.3. Which is the closest to -2\/129? (a) -3 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15985315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 15) to base 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -813, -961, -1207, -1551, -1993?\nAnswer: -2533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5912, -11813, -17698, -23549, -29348?\nAnswer: -35077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 7:57 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11130 - 3?\nAnswer: -11133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1\/2, -2.37, 0.2?\nAnswer: -2.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from jjpypqqjqppppyqjlp?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011022002212 + 0?\nAnswer: -1011022002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568*v + 562*v = -66. Sort 3, v, -5 in increasing order.\nAnswer: -5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29570911.\nAnswer: 29570911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1370)\/(-3288)*(-6)\/8?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*(-30)\/66.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -762.4282868 rounded to two decimal places?\nAnswer: -762.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 856 - 838. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, -52, -116, -198, -304?\n\"Answer: -g**3 - 45*g + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, -5, -2, -1 in increasing order.\nAnswer: -5, -3, -2, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**3\/6 - 7*k. Let t(o) = 4*o. Let n(m) = -3*c(m) - t(m). Let l(p) = 3*p**2 + 4*p**2 - 2*p**2. What is l(n(z))?\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 7) + -3 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101120953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68*141 - (-4 - (-4 - 1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35476 + -30892. Calculate the highest common divisor of i and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*n - 2*f - 51, 2*n - 4*f = 30. Let r = 2718 - 2702. What is the remainder when r is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 34. Suppose 253*i + x = 254*i. Calculate the greatest common factor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -10, 17, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71601613.059925 - -71604403. Let c = t - 2790. Let v = c + 0.06. Round v to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 20 + 62 + 19 - 34)*(-j - 2*j + 5*j).\nAnswer: 220*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, b: 2, s: 4, m: 6, p: 1}. Give prob of sequence sf.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 341*u**5\/60 + 11*u**4\/24 - u**3\/2 - u**2 + 267*u. What is the units digit of q(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5683554834 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83539 and 9452?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3226 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 - 30*v + 40 = 0 for v.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.14 - -99.86. Let l = -101.4 + h. Which is the smallest value? (a) 5 (b) 2 (c) 1 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**2 - 3544*h - 747360 = 0.\nAnswer: -540, -346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1890*d**4 - 800*d**2.\nAnswer: 45360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3204.9 + 3204.9. What is the biggest value in -22, n, -0.51?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 4*w**2 + w - 3. Let l be (1 - 0)*17*1. Suppose -5*j - 2*c = 18, 6*j + l = 2*j + c. Calculate p(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -162929\/9 + 18103. What is the fourth smallest value in -3, -43, k, -0.4, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - -2) + 4 - (1 - 6). What is the first derivative of 3 + 3875*z**3 + 14 - 3903*z**d - 2 wrt z?\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**2\/2 - f - 2. Let q be ((-282)\/(-235))\/((-1)\/(-290)). Let t = 344 - q. What is n(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/27 (b) -1\/5 (c) 124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2 (b) -1 (c) -0.137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4289, -3850, -3119, -2096, -781, 826, 2725?\nAnswer: 4916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/((-8)\/1312). Let g = f + -134. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**(-2\/23)*j**3*j**(-3\/2)\/(j*j\/((j\/(j\/(j*j**(13\/4))))\/j)) assuming j is positive.\nAnswer: j**(429\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 963312397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10685 - 6085. List the prime factors of r.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 94315, 94310, 94297, 94270, 94223, 94150, 94045?\n\"Answer: -q**3 + 2*q**2 - 4*q + 94318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 146 and -5?\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-385 + 392 - (1 + 55\/9))*(0 - 150)\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-35))\/(240\/(-7280))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1575\/30)\/15 + (-2)\/4. Let p(y) be the first derivative of -1\/14*y**4 - 2\/21*y**o + 8\/7*y - 16 + 4\/7*y**2. Factor p(r).\nAnswer: -2*(r - 2)*(r + 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 + 8*g**4 - 3*g**4 + (3*g + g + 2*g)*(-g**3 + g**3 - g**3).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 + 106. Let c(k) = -7*k + 6*k - t*k. Let f(o) = -5*o**2. Give c(f(d)).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 255796639*d**2 - 359314500*d wrt d.\nAnswer: 511593278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 6440*o + 554626. Give w(85).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -3, 22, 14, 3 in decreasing order.\nAnswer: 22, 14, 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.04 (b) 2\/7 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - 4*s + 3*s)*(-5 - s + 5) - 50 + 50 - 8*s**2 + 3*s**2 - s + s to the form j + h*s**2 + x*s and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -1\/123 (c) 8 (d) 1\/7 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + x + 1. Let h(v) = 2*v**3 - 12*v**2 - 26*v + 86. Let p be h(7). Let z(q) = -7*q**3 + 11*q**2 + 11*q + 11. What is p*z(c) - 22*f(c)?\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Let p be -4 + (-24)\/(-3) - y. What is the nearest to p in -2\/9, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 46373.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72590510 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4, 1\/5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0965 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 623*d - 8522. Let v be r(14). Let u = -1 - -2. Sort v, u, -3, -5 in ascending order.\nAnswer: -5, -3, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -11*i - 326, -14*i + 20*i + 136 = 2*i - 4*n for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:08 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000898327 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y)\/(y*y**(2\/19)*y)*y*y\/(y*y*y**(5\/3)*y)*y**(-1)\/y assuming y is positive.\nAnswer: y**(-272\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4786.523t?\nAnswer: 4786523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 10 = 0, -7*j = -2*j + 4*t - 892. Calculate the greatest common divisor of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(36\/30)\/(-6))\/(51\/(-374)).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11005)\/30 - (-2 - 0). Let v = -382 - z. Calculate the common denominator of -29\/20 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/9 (b) 1\/10 (c) -3\/553 (d) -0.2 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - l = -4, 73*k - 2*l = 72*k + 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19\/7 + -361\/84. Let v = 11\/6 + r. What is the closest to -0.1 in v, -5, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1086021 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7448*u - 129110 = 218407 + 170575 - 93556 for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 7*z**2 - 15*z - 24. Let j be t(9). Put j, -1, -12 in decreasing order.\nAnswer: j, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**7\/140 + 59*y**6\/80 - y**5\/40 - 59*y**4\/16 - 18*y**2 + 18*y. Let z(x) = 0. What is x?\nAnswer: -59, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 71 = 393. Suppose 12*d = -10 + b. Factor 2\/7*c**d + 2\/7*c - 4\/7*c**2 + 0.\nAnswer: 2*c*(c - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54, 63, 74, 87, 102, 119?\n\"Answer: q**2 + 6*q + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 0. Let h = -0.3 - 0.2. Suppose 4 + 8 = 4*i. Which is the smallest value? (a) i (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/75)\/(30\/(-2100)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/6*-5*(-2)\/(-28). Let a(k) be the second derivative of -1\/2*k**3 + d*k**2 - 26*k + 1\/24*k**4 + 0. Determine b so that a(b) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*r - 30*r + 46*r**4 + 59*r + (-r**4 + 0*r**4 + 2*r**4)*(-4 - 17 + 11)*(0 - 3 - 3).\nAnswer: 106*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -1, 6, 8.\nAnswer: -1, 4, 6, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 9) to base 14.\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d**2 + 13687*d**3 + 11 + 9*d - 13688*d**3 + 0*d**2. Give y(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from rbjbbbjbjrjjjjbjfb.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (-8 - (-6 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 8. Let q(g) = 6*g**3 - 75*g**2 + 3*g + 80. Determine -q(k) + 10*w(k).\nAnswer: -6*k**3 + 65*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1613, -6526, -14745, -26276, -41125?\nAnswer: -59298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -112*b + 9. Is f(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4300 + 4288 = 444*v + 294 + 746 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -29. Suppose 0 = -2*c - 2 + 14. Calculate the remainder when c is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30 + -24 - 3\/(-1). Suppose y - 189 + 52 = -4*i, -2 = -2*y. Find the third derivative of l*g**2 + i*g**6 + 23*g**2 + 0*g**6 wrt g.\nAnswer: 4080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23195\/1272 + -2920\/159. Calculate the common denominator of 53\/96 and v.\nAnswer: 5088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 440 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1510 is divided by 150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 168 + 154 + 95 - 76 - 64 - 288*z with respect to z.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 2061?\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/8 and -57\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 6*v + 16 = -10*v, -5*n = -v - 4. Let h = -1519 + 2219. Suppose n = -18*s + 32*s - h. Calculate the highest common divisor of 75 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -103*n**5\/5 - n**4\/2 + 1808*n + 207. Find the first derivative of z(a) wrt a.\nAnswer: -412*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3052 = -308*b - 99440*c + 99436*c, 35 = -5*c for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q - 5*f + 73 = -30*q + 67*q, -45 = -3*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/19353 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {d: 5, i: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 70*m - 714. Determine j(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1144643185 to three dps.\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25128723, -50257439, -75386155, -100514871?\n\"Answer: -25128716*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -22*q + 159. Let o be u(7). What is the third derivative of -o*b**3 - 35*b**3 - 41*b**2 - 44*b**2 wrt b?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/19, -0.659, -1\/3, -5, 2, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**5\/3 - 13*u**4\/3 + 61*u**3\/3 - 127*u**2\/3 + 118*u\/3 - 40\/3 = 0?\nAnswer: 1, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9685 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7592.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(1 + ((sqrt(288)*3 + sqrt(288))*-6 - sqrt(288)) + -2)**2.\nAnswer: -540001 - 1800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(1 - 7\/(-20) - (-180)\/(-300))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 7*i + 48. Give p(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.6 (b) 2 (c) -2.54 (d) 0.191\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-38)\/(-156)*-2 - (-58)\/377. Let a be ((-1)\/9)\/(10\/12). Put a, y, -0.11 in descending order.\nAnswer: -0.11, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 >= 1771\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1115616 and 106.\nAnswer: 59127648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58993 = -4102*m + 325623 for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 9*b**2 - 13*b**2 + 0*b)*(-1 + 1 - 2*b)*(2*b - b + 0*b).\nAnswer: 8*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/16258104 and -167\/37935576?\nAnswer: 113806728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 82119?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9880\/(-48) - 4\/6)*4. Are s and -826 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v. Let i(p) = -87*p. Give 116*d(s) + i(s).\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.1, 7\/185, -3\/5, 2, -4\/27, 45?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + c, 2*g - 4 = 5*c + 19 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*s**2 + 191*j**2*s + 7*j*s**2 - s**3 + 5*s**2 - 2*s wrt s.\nAnswer: -2*j**2 + 14*j - 6*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*k + 78 = 0, 224 + 186 = 5*p + 5*k. What is the remainder when p is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -78, -88, -102, -120, -142, -168?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336982151 to the nearest integer?\nAnswer: 18357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and -29.35.\nAnswer: 909.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 - 4*v**2 + 0*v**2 + (v + 0*v - 5*v)*(1 + 2*v - 1).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmyc when four letters picked without replacement from mcyddmynmd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2666 + 550 + 407 + i**3 - 662 - 2930*i wrt i?\nAnswer: 3*i**2 - 2930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8327*l**3 - 2*l**2 - 1141*l.\nAnswer: 49962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2)\/((-187)\/22)*1\/(-2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 892527122 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7490 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnnnnnnnjnnnnxj. What is prob of sequence jxn?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.5. Let h = -0.1 + o. Let d = h - -0.2. Which is the second smallest value? (a) -2 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + k + 4 = 0, 12*i - 15*i - 5*k + 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + 11. Suppose 5*d - h + 65 = h, -2*d - 2*h - 26 = 0. Let i = y - d. Calculate the highest common factor of i and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-567))\/((-10)\/(-18))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5\/17 + 6796*j**4\/17 - 208812*j**3\/17 + 195224*j**2\/17 + 208814*j\/17 - 202020\/17 = 0. Calculate j.\nAnswer: -1, 1, 30, 3367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 + 2 + 0 - 145*k in the form p + c*k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*l, 3*m = -0*m + 5*l - 1. Suppose -r + 8 = 2*s - 5*r, -4*s - r = -25. Factor m*n**2 + n**4 + 3*n - s*n**3 - 4*n + 3*n**3.\nAnswer: n*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 475, 951, 1429, 1909, 2391, 2875?\nAnswer: 3361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 - 3*y + 5. Suppose 0 = 2*m + 1 - 9. Let j be x(m). Let c = -23 + j. Calculate the remainder when 34 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 125 - s**3 - 61 - 65. Let z(i) = 2*i - 5. Give 5*o(v) - z(v).\nAnswer: -5*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 2*z - 2. Let c(d) = -d**2 + 1. Let t(m) = 2*c(m) + y(m). What is the second derivative of t(b) wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*j**3*l**3*z**2 - 19*j**3*l**2*z + j**3 - 2*j**2*l**3 + j*l**3*z + 3*j*l**3 - 11004*l**3*z**2 - 144*z wrt z?\nAnswer: -32*j**3*l**3 - 22008*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8291*c - 8275*c + 3028 - 3028 in the form j + a*c and give a.\nAnswer: -16566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1048*f**3*o**2 - f**2*o**2 + 2*f**2*o + 6*f**2 - 52*o**2 wrt f?\nAnswer: -6288*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.73 - 0.33. Sort j, -5, -2\/9, -8 in decreasing order.\nAnswer: j, -2\/9, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 10 = 2*l, -5*l + 13 = -5*p + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 8*u - 106 = -5*u + 8*u + 279, 8*u + 138 = 10*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6688.124um to nanometers.\nAnswer: 6688124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 3*l**2 + 3. Let t be v(-3). Let s = 84 + -42. Let f = -37 + s. Solve -k = 2*w - 0*k - f, -4*k = t*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, 3, 6, -22, 1, 0 in increasing order.\nAnswer: -102, -22, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 324cc322 - -3?\nAnswer: 324cc325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 771 + -737. Let w(r) = r**3 - 25*r**2 + 67*r - 81. Is w(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -324 + 1044. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -177, 0.3 in descending order.\nAnswer: 2, 0.3, -2, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*h + 24 = 0, -2*w = h + 14 - 5. Let m = -8.5 + 6.5. What is the closest to -0.2 in w, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29893529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2509 and 366700?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2485 and 695303.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73769.17 litres?\nAnswer: 73769170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102142 (base 5) in base 15?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1748*c + 676 = 1917*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069 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: Calculate -47 - 23.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 + -52. Let z = g - 21. Suppose 2 = d + d, -5*d - z = -5*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 12. Let v be t(5). Let m(w) = -w**3 + 6*w**2 + 9*w - 8. List the prime factors of m(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1180292, -1180230, -1180168, -1180106?\nAnswer: -1180044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78114561 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: Four letters picked without replacement from pppiupefppp. What is prob of sequence pepe?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(sqrt(1100) + 2) - (sqrt(11)*4 + 2 - (sqrt(11) - (-4*sqrt(77))\/sqrt(7))).\nAnswer: -19*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 9. Suppose 3*r - d*r + 147 = 0. Suppose v = -5*f + 83, -3*f + 5*v + r = f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -340106 or -340135?\nAnswer: -340106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7131 + -199691\/28. Find the common denominator of -31\/21 and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 11:00 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 400, 601, 802, 1003, 1204?\nAnswer: 1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 g when three letters picked without replacement from {i: 1, h: 5, j: 1, g: 3, l: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s**2 + 19*s - 119. Let k be v(5). Is -272 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 6)*(0 + 0 + 2*k) + (0*k - 3*k + 5*k)*(-17 + 55 + 59))*(k + 2*k - 4*k).\nAnswer: -190*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6666685.2 - -673228.2. Let o = h + 5993545.999673. Let p = -89 + o. Round p to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*y - 21 - 1665 - 1729.\nAnswer: -33*y - 3415","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6900 by 5.\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*-12)\/(-3) - 1. Let d(k) = -j*k - 10 - 6*k + 4*k - 4*k. Is d(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -28 + 32. Suppose 2*s - 114 = -j*u, 7*u - 4*u - 4*s - 102 = 0. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15429337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 27. Let m(l) be the third derivative of 0 - 1\/24*l**4 + 1\/120*l**6 + 1\/60*l**5 + 3*l**2 - 1\/6*l**j + 0*l. Let m(i) = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 3, z: 11}. Give prob of sequence jpz.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487 not equal to 3487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 14 = -3*y, -9*y - 15 = -5*h - 14*y. Let d be (14 + -13)\/(1 + 1 + h). Sort 4, d, -4, 3 in descending order.\nAnswer: 4, 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1998568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 31*g**4\/12 - 59*g**3\/6 - 23*g + 1. Find the second derivative of z(a) wrt a.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 1. Let a(r) = 4*r - 3. Let n be (24\/(-32))\/(2\/24). Let x = -8 - n. What is x*a(i) + 5*d(i)?\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2454 + 30?\nAnswer: 2484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.1, 278, 798, 3 in increasing order.\nAnswer: -0.1, 2\/3, 3, 278, 798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -4, -1, 37201 in increasing order.\nAnswer: -86, -4, -1, 37201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 282800 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 158 - 18. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(8) - sqrt(72)) - sqrt(17) - (-1 + sqrt(68)))**2 + (sqrt(17) + sqrt(17) + 1 + sqrt(17))*5 + 1.\nAnswer: 8*sqrt(17) + 861\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*f*m**4 - 2*f*m**3 + 477*f*m**2 + 12*f - 2*m**4 + 533*m**3 wrt m?\nAnswer: -144*f*m - 12*f - 48*m + 3198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.013, -0.4, 14707, 5, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 35469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7629563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {t: 2, e: 6, m: 1, p: 5, b: 2, w: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 12. Suppose -10 = -p + 4*o + 4, -3*p = n*o + 9. Suppose 2*g = -3*g + 25. Solve -3*f - 15 = -3*b, -7*b + p*b = g*f - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 198319121 a multiple of 4067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11\/48 - 1\/16. What is the second smallest value in -2, d, 0.1, 11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r**2 + 599*r - 1201. Give f(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 20*r - 97. Let p be c(-12). Sort -3, 0, -2, p in increasing order.\nAnswer: -3, -2, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*z**4 - 10*z**4 + 4*z**4 + 1 + z**4 - 1 + (-14*z**2 + 6*z**2 + 2*z**2)*(-2*z**2 - 4*z + 4*z).\nAnswer: -34*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46315124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154880 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-30))**(-31\/3) assuming a is positive.\nAnswer: a**(-961\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 134005 (base 8) to base 10\nAnswer: 47109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/((15\/(-140))\/((-4)\/(-42)))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbvvbbbbbbbbvbbbbv. Give prob of picking 4 v.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -649450, -649442, -649422, -649384, -649322, -649230?\nAnswer: -649102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*d**3*j**3*l + d**3*j**2 + 38*d**3 - 4*d**2*j**3*l + 2*j**3*l + 2*l wrt j.\nAnswer: -180*d**3*l - 24*d**2*l + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50495\/8464 - -15\/529. What is the common denominator of x and -67\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 664370*t - 664345. Determine x(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * -10251.\nAnswer: 9225.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/9)\/(2\/(-6)). Let q(j) = -3*j. Let x be q(-1). What is m in 4*m**2 + s - 1 + 5*m**x + 2*m**4 + m = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1547, -3687, -6415, -9725, -13611, -18067?\n\"Answer: c**3 - 300*c**2 - 1247*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - w**2 - w - 1. Let t(j) = 8*j**3 - 3*j**2 - 3*j - 9. Give -3*p(h) + t(h).\nAnswer: 5*h**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.016 and 0.04287?\nAnswer: 0.00068592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32797, 51189, 81843, 124759?\n\"Answer: 6131*t**2 - t + 26667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193 + 377*g - 346 + g**2 + 176.\nAnswer: g**2 + 377*g + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x = -19*x + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540) + sqrt(540)*1 - sqrt(540) - (-2*sqrt(240) - sqrt(240))\/sqrt(4))\/(-4*sqrt(108)*5).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*(3 + (sqrt(1872) - (1 + sqrt(1872)))**2) - (((0 + (3*sqrt(1872) - sqrt(1872)) - sqrt(1872)) + sqrt(1872))*-1)**2) + -4.\nAnswer: -7477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1798224442 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194129.\nAnswer: 13, 109, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -522*n**3 - 35 - 15 - 32 + 82.\nAnswer: -522*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1694\/(-605))\/((-2)\/(-10))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/8189860 and -73\/2055.\nAnswer: 24569580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20966.98 rounded to the nearest 100?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by 6?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9469 - -14832. Let j = 3358926071\/628326 - -2\/314163. Let g = j - p. Calculate the common denominator of 14\/3 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 - 2062*n. Let h(j) = 3*j - 16. What is h(b(u))?\nAnswer: -6*u**2 - 6186*u - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(6 + (9 - 6) + -14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -15. Let p = b - -15. Suppose -4*n = -0*n + 5*r - 3, 5*n + 3*r + 6 = 0. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -1 + 6. Suppose 14 = q*w - 11. Solve -w*c = 8 - 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/95 or -22\/15?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2065*k - 5*k**2 - 10*k**2 - 7*k**2 + 16*k**2.\nAnswer: -6*k**2 + 2065*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3502175 is divided by 2456.\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + c - 16 = 0, 20*y - 15 = 19*y - 3*c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 b when three letters picked without replacement from yhboooooyoooh?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 1560 = 1544 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 5, 575, -174, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*x**3 - 2*x**2 + 74*x?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22629.\nAnswer: 3, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77380 by 5.\nAnswer: 15476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 1. Let w(p) = p**2 - 3*p + 3. Let d be w(2). Let v be n(d). Let c(j) be the second derivative of -j**3\/3 - 3*j**2\/2 - 10*j. Determine c(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5*j + 489, 4*j - 146 = -v - 10. Let c(x) = 4*x - v*x**2 + 53*x**2 + 2809 + 62*x**2. Is c(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 14*x**2 - 3. Let f be z(14). Let h(w) = w + 1. Let g be h(f). Which is the third smallest value? (a) -2\/19 (b) g (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*l**4 + 13*l**3 - 756*l wrt l.\nAnswer: -804*l**2 + 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**5 + t**5 + 2*t**5 + (-16 - 12 + 3)*(426*t**2 - 426*t**2 + 59*t**5).\nAnswer: -1478*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-20)\/(-8))*-2. Suppose -8 = 5*h - 3*h + 4*p, 0 = 4*h + b*p + 10. Solve 4*o + 0*o + 16 = h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1161a8dc - 0?\nAnswer: 1161a8dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2abe724 - 5?\nAnswer: -2abe729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 3*w**2 + 0*w**4 - 1\/20*w**5 + 0*w - 1\/6*w**3 + 0. Differentiate g(a) wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = 3*h - 0, -k - 2*h + 14 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, -218, -491, -764?\nAnswer: -1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09861 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 397974400 rounded to the nearest one hundred thousand?\nAnswer: 398000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 202 and 2?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 13. Let d be v(-4). Let s be (-1 - -4)*(-12)\/(-630)*d. Which is the closest to s? (a) 1 (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-363)\/132 - 10\/(-8)) + 37\/(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(1 + 0 + 0)*(2*r - r - 7*r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 2 + (-6)\/(-3). Suppose -3*l = n*d - 20, -d = -2*l - 2*d + 25. Suppose -l + 54 = 3*c. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 159, 238, 319, 402, 487, 574?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f + 2*f - 4*f + (-2 - 3 + 4)*(-f + f + f) - 3*f - 2*f + 7*f + 2*f + 0 + 0 - 3*f - f + 3*f + 0*f - 4*f - 8*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.8. Let w = -1 - 0. Suppose -i = -5*i - 8. Which is the nearest to -1\/3? (a) w (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x*x*x*x\/(x**17\/x*x))\/x*x)\/x))\/x*x**(-8)*x**(-2\/39)*x*x*x\/x**(1\/3)*x assuming x is positive.\nAnswer: x**(125\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2683 - -2668.7. What is g rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from yyyyyyyi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -4*n + 18. Let k = n - -9. Let x be (-1 - -1)\/(1 - k). Let q(p) = -p**3. Calculate q(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7636 and 83996?\nAnswer: 83996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23*(-6)\/(-6)*324\/1566*(-232)\/(-16)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 minutes after 2:42 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -297 times -0.138?\nAnswer: 40.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5\/6 + 581*a**4 - 506922*a**3 + 3034564*a**2\/3 = 0 for a.\nAnswer: 0, 2, 1742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*i**5 + 25*i**5 + 28*i**5 - 15*i**2 wrt i.\nAnswer: 1500*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8877 (b) -19\/3 (c) -9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*p = -2*n - 21*p - 34*p - 316, -13*n - 2*p - 164 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**14)\/(h**1\/h))\/(h*h**(9\/4))**(-37) assuming h is positive.\nAnswer: h**(549\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50405642?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*g**3 + 2*g**3 + 4*g**2 - 4*g**2.\nAnswer: -48*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 7. Let k(g) = 6*g**3 + 2*g**2 - 1. Let r be k(1). Let y be x(r). Let f = y + -1. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 58, 129, 202, 277, 354, 433?\n\"Answer: l**2 + 68*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3647, -6887, -10109, -13313, -16499?\n\"Answer: 9*t**2 - 3267*t - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 179223, 179222, 179221?\n\"Answer: -z + 179224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 5001 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 9 = 6*r + 8*p, r + 5*p = 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.21 - 0.01. What is the nearest to 0 in 2, l, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162)*-1 + sqrt(162) - sqrt(162)) + -3)*-4 + ((sqrt(2) + (sqrt(2) + -1 - sqrt(2)))*-4 - (sqrt(10)\/(sqrt(20)\/sqrt(4)) - sqrt(2))))**2.\nAnswer: 1024*sqrt(2) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 1:21 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f - 25 = 0. Let g(l) = -11*l + 2. Let b be g(-2). Suppose -t + b = 5*t. Solve 0*n - t*n = -f*w, 3*n = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(121)\/((3*sqrt(11) + sqrt(11))*-3) + sqrt(539)*5*3))**2.\nAnswer: 435897275\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*z**2 + 10267783*z - 10267783*z.\nAnswer: -130*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/133 and 74\/(-407) - (-1356)\/(-2464).\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -781*h - 42957. Calculate d(-55).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/1)\/((-435)\/(-348)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -615, -613, -611?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 2. Let d be 2\/2 - (-1 + 1). Let c(u) = d + u + 2 + 0. Let n be (-3)\/((-5)\/(10\/3)). Give n*c(w) - 3*f(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*((-2*a**2 + 8*a**2 - a**2)*(-5*a + 4*a + 4*a) + a**3 + 4*a**3 - 3*a**3).\nAnswer: -34*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*v = -729 + 685, 0 = -2*v - 22. Find u such that 2\/9*u**3 + 2*u**2 + g + 0*u = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(4\/(-14) + 143\/(-308)). Put i, 5, 3, 1 in descending order.\nAnswer: 5, 3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 1. Let u(q) = 6*q + 10. Let w(d) = 5*m(d) + u(d). Let z be w(-8). Let y(p) = -p**3 + 6*p**2 + 9*p - 7. What is the units digit of y(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 255 + -72 + -60 - 235?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 170*k + 2450. Let z be q(68). Solve 136*p + 10 = z*p - 3*u, -5*u - 19 = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111357 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-12) + (143\/(-33) - -5) - (22 + 18).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w. Let g(k) = -28327*k. Determine g(d(p)).\nAnswer: -113308*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109 - -171. What are the prime factors of k?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*u = -68, -w + u + 56 = -2*u. Let t(l) = -5*l - 11. Let n be t(-3). Suppose w = n*a - 2*a. What is the highest common divisor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 7*x**2 + 8*x + 6. Let v be n(6). Suppose -5*o - 6*h + 4*h + 21 = 0, -2*o + 4*h = -v. Solve -3*q - 3*k - k - 5 = 0, -o*k = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 12*z**3 - 3*z**3.\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*d**2 - 2 - 5\/3*d = 0. Calculate d.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 254?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 126195525 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*3429\nAnswer: 1714.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1536*x**2 - 15403*x + 414. Determine u(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21*1\/6)\/((-7)\/(-154)). Which is smaller: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + n + 54 = 5*t, -5*t - 4*n = -78. Suppose k = 35 + t. Calculate the remainder when k is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 220 + -216. Let d be 245\/70*b\/(-7). Let q(h) = -4*h - 2. Give q(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1008829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125)\/(-200)*(19\/(-171))\/((-1)\/24).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(832) + -5)**2 - (-2 + -2*sqrt(832))**2 - 5*(2 + (sqrt(832)*1)**2 + sqrt(832) + sqrt(832)).\nAnswer: -6645 - 224*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 91 = 95. Suppose 4*l = l + 12. Suppose l*o + i = -3*k, 5*k = k + 4*o + 44. Solve k*u - 3*u - g - 7 = 0, 5*g = -5*u - 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = 5*y, 12 = -w + 6*w + 2*y. What is the tens digit of 7\/(7\/2) - (w + -681)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.400238 from -0.1.\nAnswer: -1.500238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/150)\/1*(-10)\/(-1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.1, 3067, -2\/7, 1\/12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -169*b**2*y**3 + 3*b**2*y**2 - 4*b*y - 3*y**2 wrt y?\nAnswer: -1014*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20604 and 679677884?\nAnswer: 6868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2662) - 2*(sqrt(2662) + -2*sqrt(2662) - sqrt(2662))) + sqrt(2662))\/(sqrt(110)\/(-1*sqrt(20)\/sqrt(2))).\nAnswer: -66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-18))\/(6*-1)*-3*-6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 - 3*p**4 - p**4 + (0 - 7 + 1)*(2*p**2 - 2*p**2 + 2*p**4) - p**4 - p**4 + 0*p**4.\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 3:37 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 19*j + 26. Let q be z(-8). Suppose 4*c = -q*s + 335 + 361, -2*s - 2*c = -690. List the prime factors of s.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from xabathtzbzzbbzahz?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 6*w**2 + 7*w + 3. Let j be (14\/8)\/((-3)\/12). Let u be o(j). Solve 7 - 25*d**5 + 24*d - 3*d**3 - 3 - 45*d**4 + 4*d**u + 41*d**2 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.02, -5, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/5 - 462*v**3\/5 + 15796*v**2\/5 - 117888*v\/5 - 134144\/5 = 0.\nAnswer: -262, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4471 and 13787?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 63\/72) + (-5)\/1. Let w(j) be the second derivative of 1\/8*j**2 + 0 - 3*j + 1\/168*j**7 + h*j**5 + 1\/24*j**6 + 5\/24*j**4 + 5\/24*j**3. Factor w(d).\nAnswer: (d + 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2339*h**3*m**2*w**2 + h**3*w**2 - 14*h**2*m**2*w + 294*h*m**2*w**2 wrt h?\nAnswer: 14034*m**2*w**2 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -4\/5 (b) -4 (c) -1\/8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 3*j**2 + 0*j**2 + 9*j**2 + 11*j**2 - 5*j**2 + (-6*j + 4*j + 3*j)*(-2*j - 3*j + 3*j) + 5*j**2 - j**2 - 3*j**2.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 9481 (c) 0.1 (d) 2 (e) -123\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 26*k - 16*k + 43*k + 126*k. Let o(t) = 4*t. Calculate x(o(u)).\nAnswer: 716*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2287*b - 2296*b - 36. Put 38, -11, b in ascending order.\nAnswer: -11, b, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2909?\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a, -4*s - 3*a + 28 = -2*s. Suppose 0 = -5*j + 26 + s. Is (-5)\/((-20)\/6)*j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 9. Let d = 0 - f. Let x = d + -2.005. Round x to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-11 - (8 + -13)) - 15\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 13 (c) 1\/3 (d) -0.4 (e) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.93 - -5.118. Let f = b + -1.438. What is f rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 3*o - 4032 = 0. What is the highest common divisor of 42 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i - 98 - i + 9*i - 7*i. Let v(o) = 13*o**2 - 5*o + 4. What is the remainder when v(3) is divided by p(-21)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439326.\nAnswer: 2, 3, 24407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -434893.\nAnswer: 1739572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3 + 2*i**2 + 34*i + 30 = 0. Calculate i.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 19290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/(-12)*18\/(-8). Let u be 3\/2*4\/m. Which is smaller: u or 14?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-1))\/p**(-2\/5))\/((p*p\/(p**(-1\/2)\/p*p*p))\/p**0) assuming p is positive.\nAnswer: p**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y - 6*y - 2*y**4 - y**4 - y**4 + y**4 + (-2*y**2 + 3*y**2 + y**2)*(0*y + 2*y**2 + 0*y).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 27 = -12*f - 4*s, 4*f - 4*s = -8. Suppose 9*m = 11*m - 10. Suppose -10 = 3*v + m. Is f not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 15. Suppose b + 5*h = 47, -h - o*h = b - 37. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from {d: 3, z: 8, w: 6}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {p: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**29\/d**(1\/6)*((d**(-3\/8)*d)\/d)**(-4\/11) assuming d is positive.\nAnswer: d**(956\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u - 120. Is u at most -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -511, -1\/7, 1, -0.03, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17486*c**2 - 17474*c**2 + 34955*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 103.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -67801884 divided by -2668?\nAnswer: 25413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 907, 758, 473, 22, -625, -1498?\nAnswer: -2627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 5*j - 5. Let o(f) = f**2 - 2*f - 2. Let k(g) = 5*o(g) - 2*v(g). Find x, given that k(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13509 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*d**2 + 9*d + 126 wrt d?\nAnswer: -6*d + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7f1e2 (base 16) to base 9\nAnswer: -873206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 59 = 5*r, 4*g + 966*r - 161 = 961*r. Let c(d) be the second derivative of -1\/10*d**5 - 2\/3*d**4 + g*d - 2*d**2 + 0 - 5\/3*d**3. Factor c(j).\nAnswer: -2*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-114)\/4 + (-3)\/6. Let m(z) = z**3 + 6*z**2 - 7*z + 7. Let n be m(-5). Let j = c + n. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**2 - 20*q**3 + 22*q**2 - 12*q**2.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 145*c - 906. Let s be f(6). Let h(g) be the first derivative of -5\/2*g**2 - 33 + s*g. What is h(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rorrroor. What is prob of picking 2 o and 1 r?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 o when four letters picked without replacement from {o: 3, i: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**3 + 40*z**2 - 8*z + 9. Let y be v(13). Solve -67*t + y*t - 7 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 8. Let t be -5*(2 - (f - -3)). Do 5 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**3 + 2*f**2 - 3*f. Let u = 544 - 547. Let s be (9 - (-1 + 10 - 5)) + u. Give t(s).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*k - 10, -2*o + 4*k = -9 + 39. What are the prime factors of 8\/(5 + o + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 10 (c) 0.03 (d) 17399\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 439*g**5 - 432*g**5 + 3*g + 13*g wrt g?\nAnswer: 140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 17. What is the units digit of a(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1770 - 627 = -1246*o + 95. What is p in 35\/3*p**o - 4\/3 + 68\/3*p = 0?\nAnswer: -2, 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 37152, -5, -2 in decreasing order.\nAnswer: 37152, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(2\/23)\/k*k*k)\/k)\/k**(-1\/11))\/((k**(-1\/4)*k*k)\/k**(1\/5)))\/(((k*((k*k**(-2\/13)*k)\/k)\/k)\/k)**(-14))**(4\/7) assuming k is positive.\nAnswer: k**(-171219\/65780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2222020110 (base 3) to base 4\nAnswer: -32101332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -563*j**4*n**2 - 573*j**2*n**2 wrt j.\nAnswer: -13512*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 3. Suppose -37 = -4*y + 3*z, -y = 5*z - b - 9. Let x = y + -7. Solve -5*p + x*p + 4*l - 20 = 0, 5*p = l - 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94162*t**4 + 2*t**3*u**3 + 2*u**3 - 42090 wrt t.\nAnswer: -376648*t**3 + 6*t**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/((-4455)\/(-54))*143.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -101 - 0?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let p(b) be the second derivative of 0*b**2 + 118*b + 1\/6*b**4 + 0 - 7\/6*b**3. What is u(p(r))?\nAnswer: -2*r**2 + 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 957291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 1. Let x = 10 - 3. Let t(h) = -9 + 3 + x + 2*h. Calculate -5*l(a) + 3*t(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/13098 and -133\/387834?\nAnswer: 22882206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 20\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d - 18 = 0. Let i = -0.3664 - -0.1664. What is the second smallest value in i, 3, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 5\/9*b**3 + 0*b - 1\/3*b**2 - 1\/4*b**4 + 3. Factor y(s).\nAnswer: -s*(s - 1)*(3*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 628*p**3 - 580?\nAnswer: 1884*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 7:49 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*c + c + 0*c)*(-8*c**2 - 13*c**2 + 0*c**2).\nAnswer: 63*c**3 - 63*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 4. Let r be ((-2)\/(-42))\/(9\/27). What is the third biggest value in i, -4\/3, r?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/42364 and 127\/21896.\nAnswer: 1948744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, m: 9, v: 3, p: 4, g: 2}. Give prob of sequence mjp.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58116 and 501?\nAnswer: 58116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -38*q**3 + 8*q**2 + 11*q + 11. Let k be p(11). Let y = 2730522 - k. What is y rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**3 - 10*x**2 + 16. Let u be (4\/3)\/(12\/198). Let p = 12 - u. Let i(a) = -2*a**3 + 3*a**2 - 5. Give p*i(n) - 3*r(n).\nAnswer: 2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -695, 6 in ascending order.\nAnswer: -695, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*(4*2)\/((-52)\/(-3094)) is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -993*k**4 - 19628*k?\nAnswer: -11916*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*-3*(sqrt(288) + 1) + -4)**2 + 4.\nAnswer: 576*sqrt(2) + 2660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 34. Suppose 4*t + 2*i - 50 = 0, 2*t + 35 = 5*t + i. List the prime factors of b(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2586\/6949 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2333, -4656, -6965, -9254, -11517, -13748, -15941?\nAnswer: -18090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l - 9. Give u(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 19*q. Let s be k(0). Let f(x) = -50*x**2 + 2*x + 6 + 49*x**2 - 2*x. What is f(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*o + 15, 5*r - 5*o + 5 = 4*r. Sort 1, 10, r, 2, 0 in ascending order.\nAnswer: r, 0, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f + 291 = 56*f. Solve 5*d = -5*y, 13*y = 15*y - f*d + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 16194?\nAnswer: 16194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*h + 487*h = 145905065. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (706*b + 193*b + 179*b - 309*b)*(2*b**3 + 2*b - 2*b) as p + k*b**2 + a*b + l*b**3 + z*b**4 and give z.\nAnswer: 1538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/60 + w**4\/8 - 7*w**3\/3 + 28*w**2. Let i be d(-6). Solve 4*q = -8*c + 3*c - 30, -3*q + i*c - 7 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557567871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -2. Let q = 12 + v. What is the least common multiple of q and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - 21*y + 7. What are the prime factors of k(9)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 71938, 117838, 163750, 209680, 255634, 301618, 347638?\n\"Answer: d**3 + 45893*d + 26044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) + 642\/5. Let p = w - 389\/3. What is the second biggest value in -1\/7, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from dbpbkpapadkbabpk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/6)\/(90\/27)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 - 42*v + 249. Let j be h(8). Solve -13*g = 2*g + j for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxbvbvbbxbxb. What is prob of picking 1 x, 2 b, and 1 v?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52.61 - -52.91. Sort 943, -2\/11, 5, r, -1\/7 in descending order.\nAnswer: 943, 5, r, -1\/7, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -9 + 21. Let k(u) = 2*u**2 - 3. Let c be k(3). Let h = c + -11. Solve -p*i + h = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102 (base 16) in base 11?\nAnswer: 6392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 31263 = -2*a, 0 = 2*b + 4*a - 7447 - 13395. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 673\/4 - 168. What is the biggest value in -1\/30, -1\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2 + (1 + 4 - 4)*(-322 + 587 - 328))*(3*g**2 - 3*g**2 + 4*g**2).\nAnswer: -272*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 192790.5 decades?\nAnswer: 19279.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88146751801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 1, l: 1, u: 2, s: 2, x: 2}. What is prob of picking 1 u, 1 s, and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*y - 3*y + 15 = 0, -2*z + y = -5. Suppose 10 = 5*c - z. Is 125362\/76*(c + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 886596 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 50250.231ns?\nAnswer: 0.0000000139583975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(832))*4 - ((sqrt(143)\/sqrt(11) - sqrt(13)) + -1 + sqrt(13)).\nAnswer: -29*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12260744 (base 8) in base 15?\nAnswer: -388876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a microgram in nanograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -205*o**2 + 139*o**2 + 134 - 267*o**2 + o**3 - 1078 with respect to o.\nAnswer: 3*o**2 - 666*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 6:46 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 - -80. Let n be (-2)\/(-4)*(15 - 1). Suppose -46 = -4*w - s*b, -5*b + 30 = 2*w - n*b. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-92)*12\/15?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*o - 3*m, 10 = -o - 3*m. Suppose -3*h = 3*x - 546, -896 = -o*x - 0*h + 2*h. Let d = x - 61. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 6*y + 3. Let l(b) = -3*b**2 + 6*b - 3. Let o(q) = -4*j(q) - 3*l(q). Let c = -9 - -3. What is o(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 132*s**3 - 2*s**2 - 5*s - 4. Is w(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -847, -841, -823, -787, -727?\n\"Answer: c**3 - c - 847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2. Let t(y) = -14*y - 186025. Determine t(b(a)).\nAnswer: -98*a**2 - 186025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.2 to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19687 and -4.\nAnswer: -0.78748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 2:41 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16830 and 90202?\nAnswer: 44649990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5*l = 10, 5*w + 27 = -4*l + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 18 + 14 - 53)*(-3 + 34*p**2 - 29*p**2 + 0).\nAnswer: 5*p**3 - 105*p**2 - 3*p + 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**3 - 5892*g**2 + 46749*g + 381420 = 0?\nAnswer: -5, 13, 1956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (256\/640)\/(((-6)\/20)\/(-3)). Suppose 3*p = j - 7 - 1, -k*j = 4*p. Let n be (-1 - 1) + 8\/6. What is the nearest to n in 3, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 15*t + 4. Let o be b(4). Let c = o - 24. Let p(j) = 6*j + 2. What is the remainder when c is divided by p(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (9 + -2)*3\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m*x - 2*m*y**2 + 1275*m*y - m - 2692*x**2*y**2 + 383*x**2*y + 3*y**2 + 4*y wrt x?\nAnswer: -2*m - 5384*x*y**2 + 766*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 1983935011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. Suppose 3*f = -k + 2*k - 18, 30 = -5*f - 4*k. Let t be ((-16)\/f)\/(j\/3). Solve 0 = -t*w + 2*v + 5 - 3, -w = 5*v - 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtxgcjgjxxgl. What is prob of sequence xjjx?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4732771221?\nAnswer: 3, 43, 101, 40361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3252530 a multiple of 693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*u + 0*u**3 + 47*u + 4*u**3 + 15*u + 13*u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/3360*-20*4.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n + 15. Let d be i(5). Let f be 4\/10 + (-24)\/(-140). Which is smaller: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 0*(-1)\/3. Calculate the common denominator of k\/(-63)*(-49 - 2) and -33\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 16) to base 6.\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v + 41. Let k be c(9). Solve 0 = -k*t - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -882*l**5 + 4746*l**4 + 27394*l**3 + 12886*l**2 - 8016*l + 864 = 0.\nAnswer: -3, -1, 4\/21, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -3*d**5\/10 - d**2\/2 + 2*d + 37. Differentiate y(u) with respect to u.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 3388?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 6*x**2 - 40*x - 115. Give l(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -6, 3, -23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*x = -37806382 - 45353609, -4*o - 166319942 = -2*x. Let w be o\/21 - (-4)\/(-7). Round w to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 2*j**2 - 308*j - 1899. What is g(-6)?\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67519\/7188 - 14\/599. Find the common denominator of ((-3)\/60)\/((-3)\/(-219)) and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37341?\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1+20.6\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 15) to base 9.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 1934 + 3591. What is the highest common divisor of 125 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 524958 by -282.\nAnswer: -87493\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*u + 35 = 335*u - 109 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4392 - 4392 + s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710 = -8*q + 486 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -83.5, -1\/7, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 1. Let j(m) = 160*m + 1. Let c(d) = j(d) - 3*s(d). Let b be c(5). Suppose 0 = 2*o - 4, -4*w + 2*o + 1467 = -b. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p + p - 2*p - 3. Let y(m) = -m + 2. Let g = -8 - -4. Give g*j(w) - 5*y(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 455528 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:22 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*j = n - 56, -5*n + 3*j = 48. Is 28 a factor of -4*15\/n*17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.3, 5, -22 in decreasing order.\nAnswer: 5, 0.3, -0.5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Let c = 7 + -4. What is p in -c*p**l + 5*p**3 - p**2 - p**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - l**3 - l + 0*l**2 - 2*l**3 + l**2. Let c be x(-1). Suppose c*o - 11 = -2. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 60439 + 16361 = 0. Let l be (n\/180)\/(3\/(7875\/(-2))). What is l rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*a - 3*j = -57*a - 420, -5*a - 3*j = -700. Let l(c) = -c**3 - c + 14. Let f be l(0). Calculate the highest common factor of f and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389*f - 391*f + 1212*f - 433*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v**5\/13 + 38*v**4\/13 - 1028*v**3\/13 - 4902*v**2\/13 - 396*v - 1296\/13 = 0. Calculate v.\nAnswer: -6, -4, -1, -3\/8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (9 - 65)) + -1\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.04, -5, 0.08, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (561\/(-20))\/(13\/104)*-10. Calculate the highest common factor of z and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqqf when four letters picked without replacement from {f: 12, q: 7, v: 1}?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12559?\nAnswer: 19, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/30*(-80)\/(-9856)*-11.\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)*t*t**(2\/23))\/(t*t**(-3)*t**(2\/3)*t*t) assuming t is positive.\nAnswer: t**(-661\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40507477773133 + 0.3\nAnswer: 40507477773133.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/5)*o**0*o**(-3\/7)*(o\/(o\/(o**2*o*o*o)*o))\/o)\/((o**0)**(29\/4)*((o*o**(-1\/3)\/o*o)\/o)\/o*o\/o**(-1)) assuming o is positive.\nAnswer: o**(116\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 10. Let q be s(8). Let x be (12\/18)\/q*39. Solve 0 = -n + 2*g + x, -11 = 2*g - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228098 is divided by 1332?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 16 = -2*w. What is the lowest common multiple of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -6, 2\/3, -159\/23?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(3 + 2 - 7)*(-750*f + 806*f + 3 - 1).\nAnswer: 112*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -13, 0 in ascending order.\nAnswer: -13, -8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 49*(-390)\/31850*7\/6\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from pzpzpp.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, r: 10}. What is prob of sequence rggr?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooo. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -212130.795 rounded to the nearest 100?\nAnswer: -212100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*30\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4}. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s + 2. Suppose -5*r + 2*r - y = -20, y = 2*r - 10. Let c(j) = -5*j + 2. Determine r*b(z) - 5*c(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 441 + -491. Which is the nearest to 1\/4? (a) -0.4 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288759964 to the nearest integer?\nAnswer: 16993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -2*sqrt(2) - (sqrt(2)*-2 + 1))*2 + (-2*sqrt(162)*-1 + sqrt(162) - sqrt(162))*-4)**2.\nAnswer: -864*sqrt(2) + 10404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 3554.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10075 is divided by 778.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6984608*c + 330430.\nAnswer: -6984608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -36427*c + 36423*c - 20, -12*a - 2*c - 86 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 1600\/3 - 1760\/3*q - 4\/3*q**3 + 164\/3*q**2 = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2295 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 110101?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -23\/282636 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 24, -41, 244 in decreasing order.\nAnswer: 244, 24, 1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 168553?\nAnswer: 337106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 16*j**2 - 13*j - 5. Does 26 divide x(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-4 + sqrt(2736) + sqrt(2736) + 1 - -3*(1 + sqrt(2736)))**2 + ((-1*(sqrt(2736) + 2))**2 - sqrt(2736) - sqrt(2736)) + -1).\nAnswer: 72*sqrt(19) + 213417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**5 - 8*a**4 + a**3 + 8*a**2 - 9*a - 23. Let d(v) = -v**4 - v**3 + v - 1. Let s(c) = 21*d(c) - 3*n(c). Suppose s(y) = 0. What is y?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 56?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = u + 5*z + 19, -2*z + 5 = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 531, 417, 113, -477, -1449, -2899, -4923, -7617?\nAnswer: -11077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20701 - -20825. Solve 128*i = m*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -168793 - -319347. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/2 + 47*l**2 - 91*l\/2 - 93.\nAnswer: -(l - 93)*(l - 2)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 - 4)*(-10 - 4*x**2 + 10) + (-2 + x + 2)*(-5*x + 2*x + 2*x).\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = l + u - 196401, 0 = 4*l + u + 196399. Round l to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1512627.\nAnswer: 3, 504209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, p: 1, x: 4}. Give prob of picking 3 t.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-150)\/(-9) + -4 - (-4)\/12. Suppose -w*y = -8*y + 2150. Let p = y - -686. Calculate the remainder when p is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -26.99978. Round l to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188646*w - 188583*w + 377178*w.\nAnswer: -51*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 88998, 355930, 800826, 1423692, 2224534, 3203358, 4360170?\n\"Answer: p**3 + 88976*p**2 - 3*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*c + 2*i = i - 17, -4*c - 2*i = 142886 - 142864 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 6) + 3 + 0. Suppose -4*c + 5*d - 10 = -9*c, 0 = -3*c - 2*d + 4. Suppose j*k - v - 6 = c, -3*v - 8 + 1 = -k. Solve 4 = a - k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, g: 2, w: 2, n: 1, u: 1, k: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y**3 + 5*y - 3. Let i be 63\/12 - 2\/8. Let p(f) be the second derivative of f**5\/5 - f**3\/2 + f**2 + 2*f. What is i*p(z) + 3*o(z)?\nAnswer: -z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 56*b - 240. What is d(32)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 120\/(-480) - (-2 + 1\/(-4)). Solve 10*r - 4 = t*l + 11*r, -2*l + 12 = -3*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 19*s**3 - 2*s**2 + 2*s - 3. Let d(x) = x - 10. Let y be d(12). Is m(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1522, 1, -17, -126.\nAnswer: -126, -17, 1, 1522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -3, 18.\nAnswer: -5, -3, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(2)*-2)*4)\/(sqrt(363) - (sqrt(363) - sqrt(363)*2) - sqrt(6)\/sqrt(2)*-2).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102.92 - -0.02.\nAnswer: -102.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 510*x**3 - x**2 + x + 1225 wrt x?\nAnswer: 3060*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 4*j - 202, 659*o + 676*o + 388 = 1339*o + 4*j for o.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69036 by 6.\nAnswer: -11506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.934000454 - -0.066020546. Let s = x - 37. Round s to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 11 + 26, 4*v - 329 = 5*x. Let i = v - 50. Calculate the lowest common multiple of 66 and i.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**2 + 6*b - 9. Let h(k) = k**2 + 1. Determine 4*h(i) + v(i).\nAnswer: -2*i**2 + 6*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -28. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 + 13*x**2 - x + 2 - 45*x**2 - 27*x**2 to the form a*x + j + r*x**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 86684283 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, s: 5, c: 1, d: 1, j: 6}. What is prob of sequence jsj?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (140 - 168 - 99)*(5*n + 2*n**2 - 8*n - 1 + 5*n)*((-4*n + n + n)*(1 - 1 - 2) - n - n + n) in the form j*n**2 + p*n + m*n**3 + d and give p.\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -20, -40, -66, -98?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6660 divide 247985100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kklgg. What is prob of sequence gkkl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + f**3 - 674*f**2 + 674*f**2 to s*f + v*f**3 + t + y*f**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -249464456 or 0?\nAnswer: -249464456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 4, 68, -5, -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -4156818.\nAnswer: -4\/2078409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, 12\/5, -2, -0.5, 3 in descending order.\nAnswer: 3, 12\/5, 0.17, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016511 to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33\/180188 - -9642895829\/720752. Let d = g + -13385. Calculate the common denominator of 11\/10 and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**10*(j*j**(-3))\/j*j**3*((j**(-2\/3)*j)\/j**2)**40 assuming j is positive.\nAnswer: j**(-230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 1222.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31662.\nAnswer: 2, 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k*k*k**(-2\/7))\/k*k)\/k)\/k)**(-3\/2)*(((((k**(-2\/17)*k)\/k)\/k)\/k)\/k)\/(k**(-4)*k) assuming k is positive.\nAnswer: k**(-283\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 44*z - 194. Let a be v(-39). Solve -t + 3*j + 1 - 5 = 0, -3*j = 2*t - a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 453 - 451. Suppose 0 = 2*j - 4*j + 2. Suppose -11 = 3*h - 26. Which is the smallest value? (a) h (b) 1.8 (c) r (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 601.934 centuries?\nAnswer: 6019.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 53*r**2 + 4880*r + 5. Determine l(-92).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1592510663*m**3 + m**2 - 11291*m + 463.\nAnswer: -9555063978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 648 in 2, -0.3, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 55*o**4\/8 - 3*o**2 - 108*o. Let b(u) = 4*u**2. Calculate v(b(c)).\nAnswer: 660*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) 2\/9 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1210, 2367, 3524?\nAnswer: 4681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*y - 28, 2*y = 6 - 16. Which is the nearest to i? (a) 2 (b) -3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370010021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5965 - 0.\nAnswer: -0.5965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 684*g**2 + 20*g + 463. Let c(u) = -u**2. Determine v(c(j)).\nAnswer: 684*j**4 - 20*j**2 + 463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 5*i**2 - 4*i + 3. Calculate k(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) -1158078 (c) -0.2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6000\/89 equal to 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 780.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/6 (b) 144 (c) 0 (d) -295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 524, 2086, 4700, 8372, 13108?\nAnswer: 18914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3793 - -3917. Calculate the remainder when f is divided by 106.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1040.\nAnswer: -1\/1040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 338 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*s + 197*s - 117*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2156b9a (base 12) to base 16.\nAnswer: -60b026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 338 + 563. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44103, -88163, -132191, -176193, -220175?\nAnswer: -264143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8*4\/(-8))\/(4\/(-86)). Let a = -85 + f. List the prime factors of (-7)\/(21\/6) - -85*a.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f**2 - 16429*f - 16428. What is y(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilogram in grams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 902?\nAnswer: -904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)\/p)\/(p**(-3\/7)*p))\/(p*(p**(-25)*p*p*p)\/p*p*p*p**(-12)\/p) assuming p is positive.\nAnswer: p**(447\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 + f**2 + f + 1. Let d(s) = 5*s**3 - 21*s**2 - 24*s + 62. Let l(c) = d(c) - 2*g(c). Calculate the smallest common multiple of l(24) and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + i - 3 = 0, 3*i - 9 = 3*r + r. Suppose r = -v - 1, 0*v = 3*t - 2*v - 2. Solve t = -5*o + 12 - 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**7\/840 - t**6\/60 + 7*t**5\/120 - 7*t**4\/24 - 2*t**3\/3 + 7*t**2. Let k(m) be the first derivative of i(m). Calculate k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -10*i + 2*i**2 + 0 + 0 + 11*i. Let h(m) = 4*m**2 + 2*m. What is -4*h(t) + 9*l(t)?\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015622682 to 5 decimal places.\nAnswer: 0.01562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*m**3 + 62*m**3 - 131*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 8*r - 9. Let n be g(6). Suppose k + 5*d = -2 + n, 4*k = d + 67. Solve p = 5*p + k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -5*s**4\/4 - s**3\/6 + s**2\/2 + 5*s. Let k(t) = t + 5. Let p be k(-4). Calculate n(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 340\/169 - 859\/1183. Let 3\/7*q**2 + 0*q + 0 - 3\/7*q**5 + 9\/7*q**4 - z*q**3 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2. Let l(u) = u**2 - 2. Let n(q) = 11*q**2 - 11. Let o(h) = 5*h**2 - 5. Let s(z) = -4*n(z) + 9*o(z). Let a(d) = l(d) - 2*s(d). What is k(a(b))?\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3 - 13702*y**2 - 494500*y - 934184 = 0.\nAnswer: -34, -2, 13738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/7 + 27516*a**2\/7 - 3280320*a\/7 + 98193600\/7.\nAnswer: -2*(a - 13638)*(a - 60)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 39 = -q - i, 3*i = 2*q - 27. Suppose 0*h + 72 = 4*h. What is the lowest common multiple of q and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -127.6? (a) 4 (b) 3 (c) -30836\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -224, -193, -162?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96600)\/(-1075))\/46 - 2.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**4 + g**4 - 3*g**4 + (3*g + 8*g - 4*g)*(244*g**2 - 37*g**3 - 244*g**2).\nAnswer: -267*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3480 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 3.8. What is the third biggest value in -5, 4, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, p: 2}. What is prob of sequence dpd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 + 6*i + 6. Let a(m) = 16*m**2 - 33*m - 31. Let s(k) = 2*a(k) + 11*f(k). Let w(l) = 2*l. What is s(w(d))?\nAnswer: -4*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:40 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((420\/(-8))\/5). Which is the second smallest value? (a) 0.4 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 15*t + 17. Let b be k(-12). Let u = 22 + b. Solve u*i = -8 - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06182 and -107.3.\nAnswer: 6.633286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/888 and 45\/83176.\nAnswer: 249528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-6)\/(-9)))\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 14*m + 12 = 0. Let h be 0 + (-3)\/((-54)\/8). Sort -0.5, m, h in decreasing order.\nAnswer: h, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 12:11 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(308)*-3*2 + sqrt(308))\/(5*2*sqrt(11)))\/(((sqrt(44) - sqrt(176))*-5)\/(sqrt(11)*-1*6)))**2.\nAnswer: 63\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -964 + 968. Suppose 5*c - 4*c = 0. Solve 2*g = l - 2*l, c = 5*g + w*l + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 746437, 1492953, 2239469?\nAnswer: 2985985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10296306.\nAnswer: 2, 3, 439, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-11)\/f*f\/(f\/(f*f\/(f**(-24)\/f)))*f assuming f is positive.\nAnswer: f**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3342\/(-15))\/((6\/(-3))\/20). Suppose -a + 2234 = 5*p + a, 5*p = a + g. What are the prime factors of p?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/(w\/(w**(1\/16)\/w)*w))\/(w**(-4))**(2\/85) assuming w is positive.\nAnswer: w**(-2507\/1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, and 1 c when three letters picked without replacement from {a: 1, c: 1, t: 1, v: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - a = 2 - 0, 3*k + 5*a = 13. Let n be k + -2*(-2 - 5). Suppose -s - 2*s + n = 0. Calculate the least common multiple of s and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:11 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 5:26 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*n = -2*r - 260*n - 15, 10 = -3*r + 5*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2593784 and 4.\nAnswer: 2593784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1534 times 8\nAnswer: -1.2272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 0.2 (c) -2.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85754*m**3 - 78122*m wrt m.\nAnswer: -514524*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*v - 130*v = -306*v + 109177387. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1021396?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = q - 37. Suppose -z = -q - 22. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4120436179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 11:58 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by -1113.\nAnswer: -82\/1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 235984 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86.2 + -86. What is the nearest to u in -4, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 - 4) + -2 + 5)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9324 - -397. Let t = w - -44179. Round t to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 6*p + 6. Let f(s) = -s**2 + 6*s + 2. Let t be f(6). Suppose -1 = t*q - 21. What is the lowest common multiple of q and b(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mymmmymrfrfymymmmyy. What is prob of picking 1 m and 1 r?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2372574705 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 + 0.21. Let y = -5.04 + 5. Let d = w - y. Which is the third biggest value? (a) -0.4 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**4 - o**3\/3 + 3*o**2 + 4*o - 3. Is g(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112263 (base 8) in base 13?\nAnswer: -a6852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 207479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a41b5 (base 13) in base 9?\nAnswer: 12027037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**2 + 7024*j\/5 + 1680 = 0.\nAnswer: -350, -6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*v**4*x - 2*v**4 + 26*v**3*x - 5*v**2*x - 71*v*x + 83*x wrt v.\nAnswer: -1608*v*x - 48*v + 156*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2537919 - 8*l**2 - 2537919 + 4*l**2. Let k(o) = -13*o**2 + 11. What is k(v(u))?\nAnswer: -208*u**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 8 (b) 2.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4744057 is divided by 296499?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/4)*u**(1\/4)*u**2*u**(1\/4)*u**6\/(u*u\/(u\/u**(-6))*u)*u\/(u\/(u*u**(-1\/3)))*u*u\/(u*(u**(-4)\/u)\/u) assuming u is positive.\nAnswer: u**(233\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/65 - -148\/195. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-48)\/32)*2\/(-72)*-4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 141312113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7 = s - 3*u, -5*u = -5*s + 80. Let g(f) be the second derivative of -33*f + f + f**3 + s*f. Let x(y) = 5*y. Give g(x(k)).\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 4*c**2 - 12*c - 4. Give j(-7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 22*w - 182 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 570, -2\/5, -5 in increasing order.\nAnswer: -5, -2\/5, 5, 570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29575*p**3 + 465*p**2 - 42*p wrt p?\nAnswer: -177450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89 - -294.9.\nAnswer: 383.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9998955 to the nearest integer?\nAnswer: 3162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231134 and 12762.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 335543309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19639, -19629, -19605, -19561, -19491, -19389?\n\"Answer: z**3 + z**2 - 19641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 296*f**2 + 8*f + 1. Does 10 divide q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -17617881\nAnswer: 7\/17617881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 881*a**2 - 752*a**2 - 775*a**2 + 3*a - 752*a**2 in the form c*a + w*a**2 + y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = 26. Let f be (-3 + l\/4)*8. Sort f, 2, -3 in increasing order.\nAnswer: -3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/1507, 0.02, -2 in descending order.\nAnswer: 3, 0.02, -2\/1507, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513 and 2394?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d + 5. Let u(t) = -9*t - 4. Let b be (-8611)\/(-948) + 1\/(-12). Suppose -3*i - 27 + b = -3*n, 3*n = 2*i + 14. Determine i*m(l) - 5*u(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5448036 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670234 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**5 + 3*h**5 + 4*h**5 + (-4*h**4 + 2*h**4 + 4*h**4)*(113 + 4*h - 113) + 4*h**5 + 2*h - 2*h.\nAnswer: 14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-14) + (-772)\/(-14). Calculate the greatest common factor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 22. Let g = -50 + 78. Calculate the greatest common divisor of g and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -7, 4\/693, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1164 - 1140) + 45\/(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 - -51. Suppose -4*x + 20 = -112. Let o = x + l. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000155435 to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 21 - 24 + 136)*(-355 - 271*f**2 + 355).\nAnswer: -24661*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4662 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 90*n**2 - n + 4. Is y(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -1)\/(6 - 12754\/2126). What is t rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -1242.\nAnswer: 4968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125679 to the power of 1\/2, to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 46878*w + 504. Let m(o) = 18751*o + 210. What is -5*c(h) + 12*m(h)?\nAnswer: -9378*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5749 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1382 + -1380. Which is the third smallest value? (a) m (b) 3 (c) 3\/4 (d) 3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2 = 5*k. Suppose k*p - 28 + 8 = -4*q, -2*p = q - 11. Let u = 2 - 4. Which is the second biggest value? (a) u (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146607629 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13 + 1\/((-2)\/(-8)). Find the third derivative of -8*f**6 + z - 2*f**2 - 17 + 5*f**2 wrt f.\nAnswer: -960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159949679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a = 1220. Let j(r) be the first derivative of 610*r - a*r + 5 + 2*r**2. Let x(c) = c**2. Determine x(j(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 297492 by -3.\nAnswer: -99164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2012*j**3*u**4 + 2*j**3*u + j**3 - 586*j**2*u**2 + 83*j*u - 3*u**6 wrt u.\nAnswer: 48288*j**3*u - 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -9 (b) 3365 (c) 1 (d) 13 (e) 3 (f) -0.3 (g) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y**4 - 1710352*y**3 - 3990868*y**2 + 3990848*y + 1710366 = 0. Calculate y.\nAnswer: -3, -1\/3, 1, 285061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1388 is divided by 687.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 3*n - 6*n + 2*n**3 + 10*n as l + c*n**2 + x*n**3 + p*n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1349 - 953. Let o = m - 385. Solve 4*d = -4*y + 16, 2*y = -0*y - 5*d + o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Let k = 9 - -1. What is the smallest common multiple of u and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 104117.22 nanoseconds?\nAnswer: 0.000001735287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67777 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - 13) + 3 - -21) + -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 - 21*h**4 - 26)*(6 - 12 - 9) - 2*h**4 + h**4 - 2*h**4 - 4*h**3 + 4*h**3 - h**4 to the form x*h**4 + k*h + p + v*h**3 + o*h**2 and give x.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(270)\/(sqrt(27)\/sqrt(3)))\/((sqrt(66)*-2)\/sqrt(11) + sqrt(6) + sqrt(6) - sqrt(6))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*n**2*x + 8*a**2*n*x + 3*a**2 + 2*a*n - 20846238*n**2*x + 379984*n*x + 2*x wrt n?\nAnswer: -2*a**2*x - 41692476*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 + -54. Let k(z) = 3*z - 78. Let t be k(o). Solve -4*v + 8 = 4*j, 4*j - 5*v = t*j + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 135*c - 3660. Solve -13 + 193 = -c*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/(-12) + (-2)\/(-6). Let x = 0 - -8. Let c = x + -8.3. What is the third biggest value in g, c, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 28. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by 73.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 take away 2.96?\nAnswer: -151.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15, 5, 51, 135, 269, 465, 735, 1091?\n\"Answer: 2*f**3 + f**2 + 3*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1029, 1981, 2943, 3921, 4921?\n\"Answer: t**3 - t**2 + 948*t + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (830 - 830 - 127*u**2)*(12 - 226 - 16 - 218)*(3*u**2 - 3*u**2 + u**2).\nAnswer: 56896*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12 + (-795)\/60)*4. Put 5, 16, 0, p, 4 in increasing order.\nAnswer: p, 0, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301872008?\nAnswer: 2, 37734001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -21. Let g = -5.173 + -0.027. Let m = g + c. What is the nearest to -1 in 3, -2\/9, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357764810.\nAnswer: 2, 5, 13, 487, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*m - 8 = 0. Find the third derivative of -m*s**2 + s**5 - 3*s**2 + 0*s**5 wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 - (-6 + 5 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 27*p**2 + 17*p - 175. Let j be y(27). Suppose 2*a - 808 = -2*a. Let k = j - a. Does 27 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z - 1. Let t(x) = -11*x - 2. What is -5*t(h) + 8*y(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 60 = -4*k + 220, j - 120 = -3*k. Let u(h) = -9*h**3 - 8*h. Let o(a) = a**3 + a. What is k*o(y) + 5*u(y)?\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + sqrt(288)*-1)**2 + -2 + -1)*6 + ((sqrt(490) + 1*sqrt(490))\/((sqrt(70)\/sqrt(2))\/sqrt(7)))**2.\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**12*d*d\/d**(3\/4))\/((d**(2\/11)\/d)\/(d\/(d\/d**(-4)))))**(-11) assuming d is positive.\nAnswer: d**(-443\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1104340 and -1127885906?\nAnswer: 1126781566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -223, -5, -1634 in increasing order.\nAnswer: -1634, -223, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75 and 0.04.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/106240 and 53\/8128.\nAnswer: 13492480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1157151?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1477.5 or 0.1?\nAnswer: -1477.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/3 - 2\/3. Let z = -0.31 - -3.71. Let q = 3.2 - z. Sort m, -0.1, q.\nAnswer: q, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*b - 94*b = -142*b - 75 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/64 and 73\/450134.\nAnswer: 14404288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 - 106 + 110*d + 9*d + 212.\nAnswer: 119*d + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 693\/2093 - (4 + -1). Let l = g - -72\/23. Determine v so that -l + 2\/13*v**2 + 4\/13*v = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-21) - 1565\/(-35))*(-2022400)\/(-12). What is o rounded to the nearest one hundred thousand?\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 + 73*n**2 - 4*n + 5*n + 68 - 107 as m*n + a + x*n**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 5*y + 5*y)*(4*y**3 - y**3 + 5*y**3).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/15 - (-24)\/60. What is the nearest to b in 2, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 16 = -3*n, -3*n - 5*g + 2 = -0*n. Factor -22*o**4 - 455*o**2 + 600*o + 75*o**n + 23*o**4 - 150*o**3 - 180 + 49*o**4.\nAnswer: 5*(o - 2)*(o + 2)*(5*o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452*a + 14704 = 456*a. What is the third derivative of 3676*r**3 + 152*r**5 - r**2 - a*r**3 - 39 wrt r?\nAnswer: 9120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.225 (b) 2 (c) 0.5 (d) -27851\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 7*q**2 - 6*q + 1. Determine x(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (212\/18232)\/(1\/(-4)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12793891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*r + 1302 = 285*r - 111*r for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-41028)\/(-35))\/4 - 136\/2380. Solve 57*i = -8 + w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 13 + 2 + 4272274*i**2 - 4272272*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 170522*s - 170495*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2444 and 2340.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 5*f - 16, 0 = -94*f + 98*f + 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 3, a: 3, h: 5, y: 1}. What is prob of picking 1 k, 1 h, and 1 y?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221222200 - -1000000?\nAnswer: 222222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 12227272?\nAnswer: 12227272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28936073 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6460, 11557, 16654, 21751, 26848, 31945?\n\"Answer: 5097*s + 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 68496?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713 a factor of 84510855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -12*f + 9*f, 4*a - 1606 = -2*f. Let q = -173 + a. What are the prime factors of q?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219*d**3 + 106*d**3 + 104*d**3 + 4 - 250*d**3 - 200*d**3 to a*d + b + s*d**3 + x*d**2 and give s.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 0 + 6 + -2. Suppose l + 51 = 2*g, -g + 0*l = l - 33. Let c = g + 0. Calculate the greatest common divisor of r and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 14*u**2 - 25*u - 42. Does 19 divide z(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60673.55063 rounded to the nearest one hundred?\nAnswer: -60700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3729747 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v + 59*v - 61 = 3*k, 3*k - v = -13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 1, r: 1, y: 4, a: 2}. What is prob of sequence raay?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (416\/16)\/(-2 + -3 + 8 + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.25, -4, 0.2 in increasing order.\nAnswer: -4, 0.2, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30 - 1 + 4 + 24*h wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 8*d)*(d + 0 + 0)*(-1 + 1 + 1).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -451 - -222.2. Let s = -230 - k. Which is the closest to s? (a) -0.4 (b) 0.1 (c) -1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132975 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5188 + 9375. Does 39 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1348.25 litres to millilitres.\nAnswer: 1348250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - l + 5, -2*l + 5*l = -5*z + 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521 is divided by 7\/(14\/250) - -4*(-35)\/(-20).\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4*-2)\/((-1578)\/(-63120))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.6. Let b = -3.5 - m. Is 1 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 43\/2 of a millisecond?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from ooojollooooao.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Let m = 26 - 14. Suppose 0 = 5*o - 2*c - 2*c - m, 5*c = -2*o + 18. Put p, o, 5 in ascending order.\nAnswer: p, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -13, -34, -73, -136, -229, -358?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + -63 - (4 + -3 + (-2 - -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xllplky. Give prob of picking 1 x, 1 y, and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -995 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136 + -137. Let c(y) = 4*y + 19. Let k be c(u). Solve -4*b - i = 2*i - k, 2*i - 2 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(5\/(-1)*3\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 4925818.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) 0.1 (c) 0.2 (d) -0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1236032 and -9\/64?\nAnswer: 1236032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + t + 14, n = 9*t + 15 + 65 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62590, 62591, 62592, 62593, 62594?\nAnswer: 62595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 21*p**4 + 11*p**3 + 1151*p**2 - 12. Let r(d) = 2*d**3 - 3*d**2 - 2. Let f(w) = 6*r(w) - v(w). Find the third derivative of f(n) wrt n.\nAnswer: -504*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135166*p**2 - 108213*p + 2?\nAnswer: 270332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5\/7 + 276*n**4\/7 + 1538*n**3 + 83676*n**2\/7 + 52736*n\/7 - 147456\/7 = 0.\nAnswer: -64, -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6525 is divided by 1515?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 29 = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13648683 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -39*(-7)\/(6 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 3*c + 4. Let z be g(-3). Let y be 9\/33*8 - z\/22. Suppose -4*i + 6 = -7*i + 5*w, 3*i - y*w = 3. Solve t = 2*m + 6*t - i, 4*t + 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-4 - (-4 + 0))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106917?\nAnswer: 3, 157, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 203, -3, -1214 in decreasing order.\nAnswer: 203, 0, -3, -5, -1214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2838 + 2844. Put -5, -0.4, d, 2.6 in decreasing order.\nAnswer: d, 2.6, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11585 is divided by 1931.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6546084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 524\/1883 + 2\/269. Let w = 6 - 5.92. Let u = -0.18 + w. Which is the closest to -2? (a) u (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + 12 + -60 - (-3 + -2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 + 73. Let j be 4 - ((-12)\/(t + -4) - 4). Solve -2*s + j*s - 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.7637 - -0.2363. Which is the fifth smallest value? (a) l (b) -1\/21 (c) -2\/9 (d) 3 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 53*u + 69 = -48*u, 8*u = 5*j + 95 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l + 39*l - 90 = 0. Let p(c) = 6*c**2 - 56*c + 20. Let s be p(l). Put -1, s, -11, -2 in ascending order.\nAnswer: -11, -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prpqqiiccrpjrpjc. Give prob of picking 1 p and 3 c.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5 - 4*y + 5. Let h(k) = 4*k + 571 + 0*k + 574 - 1145. What is h(t(p))?\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*f**2 - 16*f**2 - 10*f**2 - f**4 + f**3 + 5*f**4 - f**3 + (0 - 2*f**3 + 0)*(-5 - 2*f + 5) to w*f**4 + r*f**3 + s*f**2 + q + j*f and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 10:54 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -17*h + 24. Calculate b(5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50259917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 2)*(460 + 0*a - 449 - a) as l + i*a and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 5*x**2 + x - 5. Let b be m(5). Suppose b = 4*u - 0*u. Suppose u = 2*p - 5*p + 489. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 18.38239.\nAnswer: -4, -1, 18.38239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -19. Let b = c + 18. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1944 and 49086?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 24 = a, 0 = 3*a + 3*m - 9 - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -4.3. Sort r, -1\/4, 5.\nAnswer: -1\/4, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2891 and 27.\nAnswer: 7.8057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q - 1458*q**3 + 9*q + 139269 + 1456*q**3 - 139269.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/2 + 2)\/((-1)\/3). Suppose -n*o + 312 + 288 = 0. Let y = o - 100. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -511*x**2 - 8*x + 7. Let o(z) = 363*z**2 + 5*z - 5. What is -8*o(l) - 5*w(l)?\nAnswer: -349*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76265 by -63.\nAnswer: 10895\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 1. Let r(z) = 7*z**2 - 4. Let o(p) = p. Let g(t) = 6*o(t) - r(t). Let q(u) = g(u) + 4*j(u). What is a in q(a) = 0?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/6 - (-1)\/(-3). Let r be ((-46)\/u)\/(5\/(-20)). Suppose -1114 + 1118 = q. Solve -8 = -5*n - 2*g - r, -q*n + g - 25 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -117958, -118002, -118046, -118090, -118134?\n\"Answer: -44*r - 117914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2b4d5c (base 14) to base 5\nAnswer: -341334310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5 = -11. Let d(b) = -23*b**2 - 26*b**2 + 51*b**y. Let t(r) = 4*r. Let i(q) = -10*q. Let p(s) = -5*i(s) - 12*t(s). Determine d(p(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-15)*1005\/(-1407)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.066280052849 - -0.06\nAnswer: -0.006280052849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -101*v - 2. Suppose -24 = 10*d - 14. Let p be t(d). Calculate the greatest common factor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Let w be h + 0 + (-1 - -8). Solve 0 = -4*t - w - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 4*t - 10. List the prime factors of l(6).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 103 = 43. Suppose 0 = -5*n + 20, 7*d + b*n - 276 = 11*d. Which is smaller: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + 21*q - 2. Let v be z(9). Calculate the highest common divisor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(315) - sqrt(315))*-5)\/((sqrt(7) + sqrt(35)\/(sqrt(5) + sqrt(25)\/sqrt(5)))*-3)*4*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f**3 - f**2 + 2*f + 2. Let v be d(-1). Let q(c) = -2*c**2 + 4*c + 46. Let g be q(v). Sort 5, g, -7 in decreasing order.\nAnswer: 5, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 6 - (3 - (6 + 0 - 4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1147 divided by -6\nAnswer: 1147\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Let k be 0\/1 - (n + 1). Let u be k\/(1 - (-18)\/(-20)). What is the highest common factor of u and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4996 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:01 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.124, 1.3, 0.5, -1?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**3 + 2129*l**2 - 5*l**4 - 1066*l**2 - 1067*l**2 + 3*l**4 - 13*l as u + v*l**3 + y*l + b*l**4 + r*l**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + 4\/(-12). Let z = 1654.73 + -1654.68. Which is the nearest to h? (a) 4\/7 (b) -2 (c) -4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18130 and 36260?\nAnswer: 36260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1965258 and 119\/603198.\nAnswer: 60922998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-4)*(-280)\/84*(-3)\/2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4726154.\nAnswer: 2, 2363077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 25, 64, 119, 190, 277?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 v when three letters picked without replacement from rrvrrrvrvrvrvrrr.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 839, 841, 843, 845, 847, 849?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4*u + 14 = -3*u, 0 = 3*y + 4*u - 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-60)*5)\/((-2)\/12). Put 5, -0.3, o in decreasing order.\nAnswer: 5, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 13. Let s be b(7). Let f be s\/7*28\/(-6). Suppose f*c + 19599996 = -2*u, -5*c + 3*u = -6*c - 4899994. Round c to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -1. Let p be -15 + 290\/20 + (-17)\/(-26). Which is the smallest value? (a) 1\/7 (b) p (c) -0.1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.096 + 0.004. Let s be 222\/27 + 4\/(-18). Let u = -13 + s. What is the nearest to z in 0.4, u, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 22 = -20*r. Let j(o) = -o**3 - 2. Let w(l) = -72*l**3 - 83. Let d(n) = r*w(n) - 3*j(n). Differentiate d(i) with respect to i.\nAnswer: -207*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37105*f**2*o**3 - f**2*o**2 + 2*f**2*o + 2525*f + o wrt o?\nAnswer: -222630*f**2*o - 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 2*k + k**2)*((-k - 3*k + 3*k)*(2*k + k - k) - 1222*k**2 + 714286 - 714286).\nAnswer: -1224*k**4 - 2448*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 158 and 12?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193 + -187. What is the least common multiple of (18\/15)\/(w\/60) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 8 = -5*a + 27, 0 = 3*a + 4*b + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 110100010?\nAnswer: 110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4881 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 4*q**2 - 4*q - 1. Calculate d(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27008180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5)*-4 - (1 + sqrt(2) + -2))**2.\nAnswer: -10*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*a*j*m*p**2 - 2*a*m*p**2 - 5*a*m*p + 29*a*p + 641*a + 86369*j*m*p**2 - 2*j*m*p - 9*m wrt p.\nAnswer: 40*a*j*m - 4*a*m + 172738*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -9. Let y = -103.6 + 63.6. Let j = n + y. Sort j, 5, 3.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**4\/12 + 4*x**3\/3 - 4*x**2 - 4*x. Let d be r(6). Solve 0 = -m - 5 + d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/39 + 84\/(-364)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21258 divided by 2\nAnswer: 10629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/128971, -67, 2\/3 in decreasing order.\nAnswer: 2\/3, -2\/128971, -1, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 18*k. Let f(y) = 39*y**2. What is f(h(p))?\nAnswer: 12636*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {y: 4, j: 1, n: 6, l: 1, i: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 - -123. Let v = 102 + h. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -15*g + 12*g. Let h(r) = -3*r + 6. What are the prime factors of h(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48*1*6\/9. Suppose -2*s = 2*s - j. Suppose -o = -3*x, -5*x + 16 + s = o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-6 - (9 + -7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3434*o - 834. Let f be r(-1). What is the highest common factor of 39 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 6819215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 8:54 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-351 - 566 - 1455)*(-8*h**4 + 3 - 3) + 4*h - 4*h + h**4 + (3*h + h - 3*h)*(-4*h**3 + 4*h**3 + h**3).\nAnswer: 18978*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 30157?\nAnswer: -30156.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 79, 308, 693, 1234?\n\"Answer: 78*r**2 - 5*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6811 by 4.\nAnswer: 6811\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.528 rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 66 - -226?\nAnswer: 28c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -844 or 78?\nAnswer: -844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (12 - -3) - (-9 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -298.25711 + 299.506. Let q = n + -1.257. Round q to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49 + 3?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 8 + 24. Suppose 0 - 5 = -f*o + q, o + 2*q = 8. Suppose 0 = 3*u + 3*p - 2*p - 15, 4*u = -o*p + 20. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-4) - (-6)\/(-4). Suppose u*a = 3*a. Suppose 4*t = -a*l - 5*l + 335980, 0 = -t + l + 84004. What is t rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 53, 69, 103, 161, 249, 373, 539?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-5) + 351\/15. Let f = 84 - y. Suppose f = s + 2*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 3*x**2 - 2*x**2 - 2*x**2)*((5 - 1 - 3)*(2 - 4 + 1) - 1 - 2 + 2 - 3 + 4 + 0 + (0 - 1 - 1)*(2 - 5 + 5) + 0 + 2 - 4 + 6 - 3 - 1).\nAnswer: 5*x**2 - 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/32)\/((-3)\/(-14))*14\/42.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.48 - -0.12. Let s = t + -1.5. Let l = 0.5 - 0. What is the nearest to -2\/5 in l, s, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*sqrt(12)*6)*4.\nAnswer: -240*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.365 - -0.065. Let h = 0 - 0.2. What is the third biggest value in l, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 61212, 5, -5\/18.\nAnswer: -5\/18, 3, 5, 61212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 677164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*t = -1480, -2*k - t = 2*t + 750. Let d = 693 + k. Suppose 0 = 5*u + s - 1105, -d - 549 = -4*u + 2*s. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 32cc + 4?\nAnswer: 32d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*v - 52, 2*o + 3*v - 5*v = -26. Let j be o\/(-20)*-2 - 2\/(-10). Let h = -3\/5 - j. Do h and 0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**3*q**2*t**3 - 2*m**3*q**2*t**2 - 2*m**3*q**2 + 8*m**3*q*t**3 + 5*m**3*q - q**2*t**2 + 2*q*t**3 wrt t?\nAnswer: 6*m**3*q**2 + 48*m**3*q + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.10000319 + -34.1. What is o rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788259 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -197670 - v**2 + v - v**2 + 197838 to the form t + b*v**2 + z*v and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8980 + -371. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j - 45*j - 2*u = 2, -4 = 4*j - 4*u. Let w(i) = -3*i + 2. Let v(c) = -1. Let p(t) = 2*v(t) + w(t). Determine p(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -730 divided by -15445\nAnswer: 146\/3089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/72 and -75\/44.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*r + 268 + 820 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 12:53 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + h = -2*h - 3, 0 = -3*t - 4*h + 3. What is the remainder when (18\/7)\/(69\/322) is divided by t\/(-6)*(-1 - -15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.0204 - 0.1104. Let p = j + 0.09. Let i be (-98)\/(-30) + ((-1840)\/69 - -24). Which is the closest to 0.1? (a) -0.3 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109*s - 148*s - 20*s)*((0*s - 4*s - 4*s)*(-2 - 2 + 5) + 1 + 2*s - 1).\nAnswer: 1662*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k - 1. Let f(v) = v. Let u(i) = -6*f(i) + m(i). Let c = 150 - 148. Give u(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 151674?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3)*9\/6. Is 6 a factor of i\/((-4)\/12*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*v + 20 = 2160 + 3320 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**4\/6 + u**3\/3 + u**2\/2 - 2*u. Let s = -3960 - -3967. Calculate the remainder when x(-3) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 37, 0.1, -4, 3, 864?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248992, 248961, 248916, 248863, 248808, 248757?\nAnswer: 248716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d + 5. Let v(h) = h. What is 2*i(w) + 14*v(w)?\nAnswer: -2*w + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**4 + 2437*z**3 + 13044*z**2 + 14468*z + 3856 = 0. Calculate z.\nAnswer: -482, -4, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 164083 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*w - 1093, -2*w - 64 = -r + 223. Calculate the remainder when r is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*i - 80*i**3 + 23*i**3 + 30*i**3 wrt i.\nAnswer: -162*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(-10\/9)*j)\/j))**(-1\/41))**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2438)\/3795 + -2*1\/(-5) and 187\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 4) + 8 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 3*l**2 + 13*l - 887. Determine t(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 1032, 2308, 4090, 6378, 9172, 12472?\nAnswer: 16278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 74 = -4*j, 98*v = 97*v - 2*j - 17 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + p**2 - 9778*p - 32*p**2 + 4885*p - 25*p**2 + 4893*p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**3 + 1. Factor g(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 7. Suppose -52*t - 18 = -53*t. Let m be v(t). Suppose 0 = 4*q + q + 2*l - m, -2*l + 4 = -2*q. Solve -9 = r + 3*u, -r - 3 = 2*r + q*u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -362842 + 549291. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 10:11 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-45)\/(-30)*3\/(-2)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/(12\/32). Let x(r) be the second derivative of r**4\/12 - 2*r**3\/3 + 5*r**2\/2 - 97*r. Calculate x(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2986, 6211, 9446, 12691?\n\"Answer: 5*l**2 + 3210*l - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30250 - 30255. Which is the smallest value? (a) 0.3 (b) 0.5 (c) g (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 6*f**2 - 6*f + 2. Calculate k(8).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7190, 28981, 65292, 116117, 181450, 261285, 355616?\n\"Answer: -d**3 + 7266*d**2 - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezhzzaauaeazaaae. Give prob of sequence eea.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2488888059 + 74.\nAnswer: -2488887985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -24361 times 1\nAnswer: -24361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -28.77. Let g = 0.03 - z. Which is the second smallest value? (a) g (b) 5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 167, 1591, 5535, 13259, 26023, 45087, 71711?\n\"Answer: 210*f**3 - 46*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 95*m**3 - 465*m**2 - 1380*m - 140 = 0.\nAnswer: -2, -2\/19, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1 + 7 + 5 - 2*b. Let h be i(5). Solve 20 = -m - 5*n, h = -n - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 40. Let d = o - 15.9. Let m = d - -0.8. Which is greater: 3 or m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 399873 in 0.212, -2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211804733?\nAnswer: 7, 30257819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13854345 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5 + 5 + 9*t**2. Let j(b) be the first derivative of b**3 - 1103. Give l(j(h)).\nAnswer: 81*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and -17.\nAnswer: -22.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/5456 and 15\/84692.\nAnswer: 3726448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 2:02 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332685945.\nAnswer: 3, 5, 1193, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -580, -1174, -1714, -2194, -2608?\nAnswer: -2950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3, 0.1476, 0.5?\nAnswer: 0.1476","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6316792?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 126542*w. Let z(c) = -6*c. What is a(z(j))?\nAnswer: -759252*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3\/13 - 828*o**2\/13 - 830*o\/13 = 0.\nAnswer: -1, 0, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = z - 6. Suppose -8 = -d - s - 3*s, d + z*s - 10 = 0. Solve -2 = -d*k + k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l**2 + 5475*l + 3659. Give k(609).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**3 + 3*m**2 - 10*m + 6. Let w(t) = -t**3 - t**2 + t. Let l(u) = 4*w(u) + z(u). Does 12 divide l(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9452276 or 0.1?\nAnswer: -9452276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 13 = 2*m + j, -3*m = 3*j - 15. Suppose 0 = c + m*a - 7, 5*c = a - 3*a + 17. Solve -z - c*z - 6 = -5*v, 2*v = z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17108\/3 - -5704. Let h(r) be the second derivative of -30*r + 0 + 35\/6*r**3 - g*r**4 + 0*r**2. What is the second derivative of h(p) wrt p?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuffuuuuuuu. Give prob of picking 4 u.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13393 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 67 = -18*f. Solve 0 = f*c - c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 1, t: 14, r: 2}. What is prob of picking 1 t and 2 r?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/4 + 27*g**4\/4 - 6*g**3 - 517*g**2 - 1800*g - 1296 = 0.\nAnswer: -4, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14054922 divided by -6\nAnswer: -2342487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*t - 49*t - 12. Sort -6, -1, t, 3.\nAnswer: -6, t, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 5*u**2 + 2 + 0*u**2 - 2*u**3 + 5*u**2 - 23*u - 2*u**4 in the form k*u + l*u**2 + s + j*u**4 + b*u**3 and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -230*k + 18*k**2 - 93*k - 27*k**2 + 9*k**2 + 336*k**4 wrt k.\nAnswer: 4032*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -181, 2, -0.4, 0.4 in decreasing order.\nAnswer: 2, 0.4, 0.1, -0.4, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 652 divide 53001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 8*z**2 + 7*z. Let x be k(7). Sort -3\/5, 2\/5, x in decreasing order.\nAnswer: 2\/5, x, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134 and 14337732.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 2. Let q(n) be the first derivative of n**2\/2 - n - 53. Let z be (-13)\/(-4) + (-15)\/(-20). Let a = z - 1. Give a*q(g) - m(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3848, 6659, 9470?\nAnswer: 12281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrfthrdrhrtyt. Give prob of sequence dfr.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63739 divided by 88.\nAnswer: -63739\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elalealllllssssl. What is prob of sequence aes?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7376*i**3*n**4 - 102*i**3 - 15*i**2 - 19*n**4 - 5*n wrt n.\nAnswer: 88512*i**3*n**2 - 228*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237 by -1.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2365798 is divided by 213?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.23 + -0.33. Which is the third smallest value? (a) -1\/2 (b) u (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 16 = -16. Suppose -x*c + 23442 = 2*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/7)\/((-33)\/231)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s + 10. Let p be q(-3). Let d be -3*4\/6 - -1 - p. Suppose d*b + 74 = 18*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2457 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1678, -1685, -1704, -1741, -1802, -1893?\nAnswer: -2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bb + -8bf?\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 + 7 + -1 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17256403 - -17256400.1999916. Let i = 0.3 - -2.5. Let o = i + y. What is o rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -69*i**2 + 66*i. Let q(r) = -2*r. Give b(q(j)).\nAnswer: -276*j**2 - 132*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + 7 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*q + 9 + 30, -r = -4*q - 13. Let j(b) = 8*b - 20*b + 4 + r*b. Let k be j(0). Solve u + k = -0*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14300430 (base 5) to base 9\nAnswer: -247824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 + 158*p**2 + 86*p - 913. Calculate r(-52).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-7 - -2) - (5 - 8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 825444358 - 412722185 + 14*l - 412722173.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -2\/12405189, -3?\nAnswer: -2\/12405189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 140 + 0.7.\nAnswer: 140.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3. Let r = 56.288 + 0.712. Let o = r - 57.09. Which is the nearest to i? (a) o (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*x + 224, 0 = 3*k - 2*x - 22 + 252. Let h = 108 + k. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2738862 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -399, -542, -689, -840?\nAnswer: -995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = k + 18, 0 = k - 3*k - 2. Let v = -35 - n. What is the common denominator of (-66)\/v*(-66)\/20 and 57\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -17.9. Let h = 2 - 1. Which is the nearest to -1? (a) h (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 11. Suppose -4*a + 56 = 3*v - v, -o*v = -3*a - 156. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*l + 314*l + 322*l - 939*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -2*h**7\/7 - 5*h**3\/6 + 4*h. Find the second derivative of t(b) wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 332?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.828683*-1\nAnswer: 0.828683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 + 2*f + 2. Let w be l(2). Let n be (-37835)\/12972 + 9\/4. Which is the second biggest value? (a) n (b) -4 (c) w (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244666061.\nAnswer: 244666061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 7*p + 6)*(p + 2*p**4 - p) + 2*p - p**5 - 2*p.\nAnswer: -15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.071 - -3.929. Which is the third smallest value? (a) 0.1 (b) m (c) -0.1 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*i + 75*i = 4*d + 22 - 70, 6*d = 3*i + 42 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) + sqrt(315)*-1*-5)\/sqrt(7) - -2*((sqrt(5) - (sqrt(5) + (2*sqrt(50))\/sqrt(10)))*-3)**2)*3.\nAnswer: 54*sqrt(5) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.82 + 0.02. Let m = v - -3.6. Let t = m - -3.20092. Round t to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 2*g - 4*g + 324*g**2 - 320*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - 589*t - 43020. Give x(253).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191 - 161. Let a = u - 7. What is the remainder when a is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*n**3 + 3 + 42*n**3 - 3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3191394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -13 + (6 + -2 - 0). Let s = 17 + f. What is the lowest common multiple of 7 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3152518.\nAnswer: 2, 19, 23, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*w - 8 - 2, f - 2*w = -10. Let k(o) = 41*o - 1350. Let g be k(33). Sort f, g, -5, -2.\nAnswer: -5, -2, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 6521*t**8\/56 - 1973*t**4\/12 + t**2\/2 + 2166*t - 1. Find the third derivative of a(j) wrt j.\nAnswer: 782520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 3*y**4\/8 - y**3\/2 + 3*y**2. Let s be r(2). Let c be s\/(-75) - (-1 - -1). Which is smaller: c or 1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52652 - 204?\nAnswer: 52447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.5, -4, 45\/26, 3\/2.\nAnswer: -4, 3\/2, 45\/26, 5.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140*p**5 + 5*p - 5*p**3 - 133*p**5 + 526 + 276*p**5 + 3*p**4 wrt p.\nAnswer: 60*p**3 + 36*p**2 - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 126273, 127274, 128273, 129270, 130265?\n\"Answer: -z**2 + 1004*z + 125270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 270*x + 3645.\nAnswer: 5*(x + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 15*d**3 - 4*d**2 - 4*d - 1. Let j(x) = -x**3 + x**2 + x. Give 4*j(c) + w(c).\nAnswer: 11*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y - 12 = 0. Sort y, 0, 7.\nAnswer: 0, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 less than -119?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -12*k - 11, -4*k = -2*d + 45 - 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u = -y + 26, -2*y - 11 = -u. What is the least common multiple of (-2)\/(-6)*(-99)\/(-3) and u?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714880000 rounded to the nearest 1000000?\nAnswer: 1715000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6834 - 6729. Calculate the highest common factor of l and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 10:27 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) + (-44)\/(-6). Suppose 5*r = -4*l - h, r + r = 5*l + 10. Let a = r - -5. Solve 3 + 2 = a*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3 + 23*u - 16*u + 14*u - 6. What are the prime factors of d(4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*(sqrt(108)*-2 + sqrt(108))*5)**2)*-5.\nAnswer: -13520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 3. Let x be (l + (0 - 0))*-1. Let d = 3 - 0. Put x, d, 2 in ascending order.\nAnswer: x, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 35*y**3\/3 - y**2\/2 + 10*y. Let m be j(3). What is the highest common divisor of 19 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 11. Let h be k(-8). Suppose 0 = h*c + 12, 0 = -m + 4*m - 3*c - 18. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 12*n**2 - 6*n + 207. What is c(12)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r - 23. Let z be s(4). Solve -z = c - 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 383012*v**3 - 2*v + 237544 wrt v.\nAnswer: 2298072*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 - -3 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 58. Suppose 5*r + d = 51. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7233 - 7227.6396. Let t = -5.2 + o. Let z = -0.132 + t. What is z rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 77 = f, -f + 35 + 52 = 5*g. Let t be 0 + 4 - (-5 + -9). Suppose -2*m + f = t. What is the smallest common multiple of m and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -1.36825\nAnswer: 8.36825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2705.6 and 4437.\nAnswer: 7142.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l**2 + 16*l + 18. Let v(s) = 2*s**2 + 5*s + 6. Let b(m) = 3*n(m) - 10*v(m). Let u be b(3). Solve -2*f - u = 4*d, -d - 2*d = 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, -88, -307, -614, -1009?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 - 0.11. Let q = y + 0.05. Which is the second biggest value? (a) q (b) 1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -252 - -249. Let o be (-14)\/(-6) + 1\/r. Solve 6 = 2*t + z - o, -3*t - z = -13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-2)\/(6\/(-3))). Let c be (r\/1)\/(-15) - 18\/(-10). Suppose -6*m = -c*m - 5*y - 1593, 798 = 2*m - 4*y. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 84\/36 + -2 + (-8)\/(-3). Suppose -s*k - m = 35, 8*k + 57 = 3*k - m. Let l be 2*1\/k - (-315)\/(-385). Put l, 4, -10 in decreasing order.\nAnswer: 4, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 + 3*w**3 + w**2 + w**2 + (-w**2 + 11*w**2 - 11*w**2 - 16)*(3*w - 3*w - 3*w) to the form c*w + y*w**2 + v + n*w**3 and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2295753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**2 + 70*u - 27. Give l(15).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:00 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 5. Let d be a(6). Suppose -12 = -6*b + 2*b + 2*j, -b + d = 2*j. Suppose b*i = -20, 0 = -4*v - 4*i - 2 - 2. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(sqrt(19) + 3 - sqrt(19))*1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108385776 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 8. Let w = -11 + h. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 + 20*p - 20*p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1584))*3)**2 + (sqrt(1584) - (sqrt(1584) + -1 + 2)**2) + 2*sqrt(1584) + 3 + 4.\nAnswer: 12*sqrt(11) + 12678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23454*k**3 - 1086*k**2 - 55354520*k.\nAnswer: 140724*k - 2172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/14)\/t)\/(t**(-30)*t)*t**(-16)\/(t**(3\/10)*t) assuming t is positive.\nAnswer: t**(412\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9148, -73003, -246368, -583999, -1140652, -1971083, -3130048?\n\"Answer: -9126*k**3 + k**2 + 24*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 12:52 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 1, 3\/5, 1\/454?\nAnswer: 1\/454","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoijefojjoooeijeqiqo. Give prob of sequence iqfi.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or -0.17?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21232.76 and -0.046.\nAnswer: 21232.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -372\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -8.9. Let y be ((1845\/(-75))\/41)\/((-21)\/5). What is the fourth biggest value in y, o, -3\/4, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r - 3. Let h be y(15). Let n = h + 77. Let i(b) = -61*b**2 + 21*b - 6. Let z(l) = -12*l**2 + 4*l - 1. Let m(j) = 2*i(j) - 11*z(j). Give m(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 229 or 15024?\nAnswer: 15024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afhecla. What is prob of picking 1 f, 1 l, and 2 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*o - 355 = -2*o, -595 = -5*s - 5*o. Suppose d - s = 26. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p - 11. Let v be h(-3). Calculate the highest common divisor of v and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5196.1 - 4739. What is f rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 13. Suppose -n + 27 + y = 0. Let h = n - 20. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, m: 3, h: 5, i: 3, p: 1, l: 1}. What is prob of sequence pf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 323, 475, 611, 731?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2911.9998299 - -2912. Round s to six decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 z, and 1 i when four letters picked without replacement from {z: 5, t: 2, j: 4, i: 2, m: 1, l: 1}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3 - 11549*k**2 + 11550*k = 0.\nAnswer: -11550, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*d**3 - 76*d**3 - 68*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -10*j**3 - 13*j**2 + 395*j + 4596. What is the units digit of p(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6929 is divided by 1728?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8751 - 8752. Which is the second smallest value? (a) u (b) -159\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 455.7206 centuries?\nAnswer: 4557.206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31817, -19, 117 in ascending order.\nAnswer: -31817, -19, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3) + -6 - -7 - (24 - 9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1001*r - 11013. Calculate c(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2. Let u(g) = -195*g**2. Give u(s(a)).\nAnswer: -780*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4244346, -4244341, -4244336, -4244331?\nAnswer: -4244326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102212 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-2)*o*o**(2\/5)*(o\/(((o\/o**(2\/7))\/o)\/o))**6 assuming o is positive.\nAnswer: o**(634\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127b4 (base 12) to base 8.\nAnswer: 61370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 271, 384, 477, 544, 579, 576, 529?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcwcfwcfwfww. Give prob of sequence wfww.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226201 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**3\/2 + a**2 + a - 14. Let q be j(10). Is q equal to 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/171472455 and -23\/2424863.\nAnswer: 1200307185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1087 in 0, -1\/5, -33\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - -42) + (3 - -2 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 23. Let u be r(-13). Suppose -5*s + 14*s - u = 0. Solve -2*t + 14 = s*k, 0 = 3*k - 2*t + 3*t - 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*b**2 + 16\/3 - 4*b.\nAnswer: 2*(b - 4)*(b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.69.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 5*f + 15. Give h(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 23*i**3 - 6*i**2. Let t(o) = 24*o**3 - 7*o**2. What is 5*t(d) - 6*y(d)?\nAnswer: -18*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 1\/945*x**7 + 0*x + 0*x**3 - 1\/180*x**6 + 1\/90*x**5 + 5*x**2 - 1\/108*x**4 + 0. Factor l(p).\nAnswer: 2*p*(p - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m - 3*w + 1, 2*m = -5*w + 11. Is 520 + (2 - 3 - m - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687*a - 649*a - 163450 = 999*a for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from {v: 1, r: 4, m: 5}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41608207, -41608201, -41608193, -41608183, -41608171, -41608157, -41608141?\n\"Answer: x**2 + 3*x - 41608211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5\/7 - 2*w**4\/7 + 40*w**3\/7 - 10*w**2 - 39*w\/7 + 72\/7 = 0.\nAnswer: -8, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-15))\/(4\/24*4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -23\/7, 4\/3, 1\/136?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**2 - 6*n. Let t(q) = 7*q**2 - 5*q + 1. Give 3*s(j) - 4*t(j).\nAnswer: -j**2 + 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*d**2 - 13*d**5 + 22*d - 3*d**5 - 38*d**2 wrt d?\nAnswer: -320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79975 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 10:54 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 535, 612, 693, 778, 867, 960?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - f**2 + (2*f + f + 0*f)*(2*f + 0*f + 2*f).\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2\/93 (c) -0.3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 8) to base 12\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 222*o**2 - 2*o. Let b(g) = -g. Determine b(h(k)).\nAnswer: -222*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 561566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/8)*k\/k**(10\/7)*k)**(4\/9))**(-12) assuming k is positive.\nAnswer: k**(-190\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 549 = -15*s - 11*s. Solve -s*g + 16*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*k + 103*k - 130592 = 32*k. What are the prime factors of k?\nAnswer: 2, 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 - 7*z**2 - 4*z + 5. Let t = -31 - -27. Let i be n(t). Let j = 23 + i. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27959356*w**2*y**5 + 6*w**2*y**2 - 4*w*y + 29836*y**2 wrt y?\nAnswer: 1677561360*w**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -34 (c) 2\/5 (d) -1 (e) 76217\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {n: 2, h: 5, l: 8}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s - 6 = -r, 4*s = -4*r - 40. Let v = r - -11. Let o(g) = -g**2 + 5*g + 4. Let h be o(v). Solve h = -n + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/5 + 22*h**3\/5 - 32*h**2 + 384*h\/5 = 0. Calculate h.\nAnswer: 0, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5769.\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007868 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -20. Let j = 15.537 - -0.253. Let r = j + -16. Which is the nearest to k? (a) -1\/5 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -620 divided by 4.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 1813176 and 22875.\nAnswer: 1836051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -435630?\nAnswer: -435634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -209.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d4 (base 15) to base 4.\nAnswer: -101023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 16596.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899528 is divided by 6080?\nAnswer: 5768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 8. Let o be r(-4). Let z(f) = -3*f**2 - f. Let n(t) = -16*t**2 - 6*t. Let u(m) = -2*n(m) + 11*z(m). Determine u(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -33117.\nAnswer: 33117.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.479 to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1932, 3597, 6366, 10233, 15192?\nAnswer: 21237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 15 = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 66816.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)*r)**(-1\/34)*((r**(1\/3)*r)\/r)**(-19) assuming r is positive.\nAnswer: r**(-647\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 63, 250, 561, 996, 1555?\n\"Answer: 62*o**2 + o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28259282747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, u: 18}. What is prob of picking 2 u?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 0, 10, -5, 3 in decreasing order.\nAnswer: 10, 3, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 20*u**2 + 3*u - 382. Let k be d(-21). Put k, 2, -5, -3, -18 in descending order.\nAnswer: 2, -3, k, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*f - 249 + 780 - 298 - 233.\nAnswer: 33*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28\/1)\/(7\/28 + (-3)\/(-12)). Let v(u) = 532*u**2 + 56. Let g(a) = -28*a**2 - 3. Calculate c*g(t) + 3*v(t).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 8*n + 3. Let g be w(-8). Let q(c) = c**3 - 4 + g + c + 5*c**2 + c. Is 11 a factor of q(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = k - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 495833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gskkw. Give prob of picking 1 w, 1 g, and 2 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165948644.\nAnswer: 2, 41487161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5124 + 5126. Solve -3*c = -2*c + 2*r + 8, 2 = g*c - 5*r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.019 and 21.455.\nAnswer: 21.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 + 26 = -33*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -23*s + 44*s - 20*s - 1. Calculate u(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b. Let v(i) = -i. Let u(n) = -2*n - 7 + 7. Let h(o) = -2*u(o) + 3*v(o). Calculate h(w(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Suppose 5*n = -3*y - 25, 0 = -4*y - n - 4 - 1. Suppose y = l*q - 370181 - 1209819. What is q rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t*t\/(t\/(t\/t**12)))))\/((t*(t*t*t**(2\/33)*t)\/t*t)\/t) assuming t is positive.\nAnswer: t**(-398\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 11808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 2430*k + 16956. Give a(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 - (-3 - -1 - (-25 + (-6 - (32 + -54))))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 12:08 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 3:18 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99 - 113. Do -14 and g have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3302000 (base 4) to base 14\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*s - 60 = 0. Suppose -37*g + 17*g + s = 0. Factor -3\/5*x**5 - 3*x**4 - 9\/5*x**2 + 0*x - 21\/5*x**g + 0.\nAnswer: -3*x**2*(x + 1)**2*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-129))\/((-280)\/210).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w + 7. Calculate o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -38*s - 16. Let c(l) = 12*l + 5. Let v(x) = 16*c(x) + 5*p(x). Let j(f) = -2*f - 1823. Give v(j(h)).\nAnswer: -4*h - 3646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 320.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*d**2*s**2*v - 2*d**2*s*v + 15*d*s*v + 11*s**2 + s*v - 10*v wrt s.\nAnswer: -60*d**2*v + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 3*y - 1. Let r be s(3). Let m be 86 + 10\/(-8) + (-3)\/(-12). Calculate the highest common factor of r and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8491*l - 31491*l**2 + 8491*l + 31115*l**2.\nAnswer: -376*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 86*m**3 - 3*m + 48*m**3.\nAnswer: 134*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 86863.8l?\nAnswer: 86863800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/13 - 32*n\/13 + 56\/13.\nAnswer: 2*(n - 14)*(n - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 50. Let v(l) = l**3 - 9*l**2 + 5*l - 5. List the prime factors of v(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 491 - 9331\/19. Let y = -17\/7 - -2. Let z = -0.5 - -0.1. Which is the closest to y? (a) z (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2921701?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8555481073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*w + 554 + 3235, 0 = 2*w - 3*d - 2501. List the prime factors of w.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 1 - -2) + -17 + 10. Put 1, 0.04, c in ascending order.\nAnswer: c, 0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 3. Suppose 4*p - 6*p + 8 = 3*r, 2*r = p - 4. Which is the nearest to r? (a) -3 (b) -2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, -1\/40, 2\/45, -3\/8, -1\/4, -4\/5?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g + 148 + 5*g - 148. Let y(a) = -7*a - 8. Calculate y(r(u)).\nAnswer: 7*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -792 + 794. What is the nearest to -1 in -2, -18, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**0)**(1\/3)\/((l**5*l)\/l**(2\/5)))**(-1\/18))**18 assuming l is positive.\nAnswer: l**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -193 - -204.7. Let z = -10 + i. Round z to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iitupqz. What is prob of sequence zput?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120037833?\nAnswer: 3, 17, 784561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12277949 divided by 5?\nAnswer: -12277949\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 6*p + 8. Let j(t) = 5*t**2 - 2*t - 5. Let f(v) = v**2. Let x(r) = 4*f(r) - j(r). Let n be x(4). Let y be -8*((-18)\/8)\/n. Calculate q(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6466665 a multiple of 2181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3 - 2*i**2 - 201*i**5 - 4*i**4 + 4*i + 6*i**2 + 200*i**5 = 0. What is i?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*k = 104, -5*x + 168 = k + k. Calculate the remainder when (-2)\/11 - (-11)\/((-726)\/(-8262)) is divided by x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14998 - -4?\nAnswer: -14994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2. Let q(f) = 6*f - 6. Let u be q(-5). Let i be u\/(-10) + (-10)\/(-25). Let d(x) = -x + i*x - 2*x - 2*x. Determine k(d(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65600 is divided by 333?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 966 + 438. Suppose 2*x = w + s, -175 = -3*x + w + 528. Suppose x - 80 = 5*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443968113?\nAnswer: 3, 147989371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**3\/6 + 16*x - 6. Let k(w) be the first derivative of h(w). Let o(n) = -17*n**2. Determine o(k(q)).\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -16. Let u = 2620\/7 + -755\/2. Find the common denominator of u and (-4)\/16*-18 + i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 0*x + 56*x**2 + 0*x**4 - 134\/5*x**5 + 0*x**3 + 20. Find the second derivative of r(g) wrt g.\nAnswer: -1608*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, w: 4, b: 2}. Give prob of picking 3 w.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5059 is divided by 376?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 20*z - 835. Calculate the remainder when 171 is divided by p(45).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**21*g)\/g)\/g**(-3\/8))**(3\/19) assuming g is positive.\nAnswer: g**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y**3 - 11*y**2 - 5*y - 2. Let k(u) = -22*u**3 - 29*u**2 - 15*u - 5. Determine -5*k(n) + 14*s(n).\nAnswer: -2*n**3 - 9*n**2 + 5*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 506.\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -56*v**6 - 4*v**3\/3 + 10*v**2 - 359. Find the third derivative of u(o) wrt o.\nAnswer: -20160*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.2 + 27.2. Let i = f - 13. Which is the nearest to -4? (a) 1\/3 (b) i (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 + d - 1 - d**2 + 0*d - 4*d. What is the units digit of x(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d + 8. Let y(f) = -2*f + 2. Let x(w) = 18*w - 71*w + 25*w + 25*w + 9 + w**2. Let r be x(3). Determine r*y(j) - 2*z(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3183749, -3183756, -3183765, -3183776, -3183789, -3183804, -3183821?\n\"Answer: -a**2 - 4*a - 3183744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-675)\/78) + 188\/235\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*k + 2*k - 7*k + 2*k - 27*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32076 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47657741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 48. Calculate the remainder when 94 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.581 (b) -2\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68*(-47)\/3995*10\/(-16).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) -347 (b) -5 (c) -8 (d) -3 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(162) + 2 - (2 + sqrt(2) + sqrt(2) + sqrt(6)\/sqrt(3) + 4)**2.\nAnswer: -54 - 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116)\/87*21\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i - 20. Suppose i*x - 47 = 18. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.035? (a) -3 (b) 5\/4 (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -8 - 7. Suppose -1 = -2*d + k. Is (29*-2)\/((-4)\/d) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*h**2 - 11*h*k + 2*k - 8 wrt h.\nAnswer: 58*h - 11*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**4\/2 - 45*c**3\/2 + 495*c**2\/2 - 1275*c\/2 + 414 = 0. Calculate c.\nAnswer: -23, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k + 0*k)*(12*k + 2*k**4 - 1 - 15*k - 6*k**4).\nAnswer: 8*k**5 + 6*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4))**2 + -5 + -2*sqrt(3) + -4 + -2*-4*(sqrt(3) - (-2 + sqrt(432))**2).\nAnswer: -3494 + 390*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/72*-69)\/(1\/1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5319*u**2 + 13743*u\/4 - 147\/2.\nAnswer: 3*(3*u + 2)*(2364*u - 49)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-6*n**3 - 1230*n**3 - 904*n**3).\nAnswer: 4280*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/48 + (-259)\/6 and -19\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 - 18 - 3*l + 2*l + 6.\nAnswer: -l - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 3) in base 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 219312733?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + r**2 - r**2)*(-261 + 7635*r + 525 - 264).\nAnswer: 7635*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**7\/630 - p**5\/180 + 5*p**2\/2 - 1. Let t(l) be the second derivative of d(l). Solve t(i) = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 - 107 = -5*m. Let u = -60 + m. Let y(j) = -j**3 - 5*j**2 + 15*j - 4. Is y(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) 5 (c) 29\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 112*t**2 - 225*t - 566. What is y(-110)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 3360.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/19 - 29\/57. Let w = 101\/14 - 15\/2. Suppose 6*d - d - 25 = 0. What is the nearest to w in d, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(2\/((-16)\/(-12))). What are the prime factors of ((-306)\/45)\/(r\/(-5) + 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 22. Let d be ((-140)\/(-175))\/((-4)\/(-40)). Suppose -41*m + n*m - d = 0. Put m, -2\/15, 1 in increasing order.\nAnswer: m, -2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2. Let z(b) = -15906347*b**2. Give y(z(u)).\nAnswer: -759035624653227*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4572*q - 1334. Let t be u(18). Round t to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17279 and 333?\nAnswer: 155511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 43 = w, u + 4*u - 121 = -3*w. What are the prime factors of w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943 a factor of 480471237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -71. Let w be -1500*(3 - ((-16144)\/12)\/a). Round w to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22240 (base 5) in base 14?\nAnswer: -802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/72 and -137\/420?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 312 + 150452332?\nAnswer: 150453044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -221*9\/18*(-90)\/585?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1851\/23 or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -56183281 divided by 53867\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (2 + (19 - 9))) + (-1 - (-10 + 1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -6, -0.1, 3\/5, -1\/4 in ascending order.\nAnswer: -12, -6, -1\/4, -0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 345*y - 192*y**4 + 156*y**4 + 164*y**4 wrt y?\nAnswer: 1536*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4233, -2008, -12411, -26976, -45703?\nAnswer: -68592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 4624116.\nAnswer: -1\/770686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/26)*g*g**33 assuming g is positive.\nAnswer: g**(885\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*f = -82, 2*f = 3*b + 88 - 2. Let v = 78 - b. Suppose -5*z + 0*x + x + v = 0, 0 = 4*x + 4. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71 and 19.\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 84. Let p be z(-22). Solve 8*d = 28 + p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 28, 11, 0.4, 0.122?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 20. Suppose 3*q - j = q. Suppose q*n = -2*n + 15. Solve 5*c + 4*t = 40, -c - n*t = -9 - 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 776535?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 45*l - 96. Determine y(49).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 101388 and 13277?\nAnswer: 1115268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a - 2*a - 33*z + 294, -5*a + z + 401 = 0 for a.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/36*(-260346)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkkx when four letters picked without replacement from {k: 2, x: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -93\/3373016 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5851350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1165040?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 335*f - 342*f. Sort -5, -4, f, -3.\nAnswer: f, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 510405894?\nAnswer: 5614464834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1070485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019055498 to 6 dps.\nAnswer: 0.001906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 + 31*r - 164. What is g(15)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 32 = 6*b. Let m be 1 + (b + -3 - 1). Suppose -4*l - m = -1. Which is bigger: 1\/9 or l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5082706241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.041867?\nAnswer: 0.125601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7*m\/(m\/(((m*(m*m**(2\/23)*m)\/m*m)\/m)\/m))*(m*m**(-3\/4))\/m**(1\/2))**(2\/153) assuming m is positive.\nAnswer: m**(721\/7038)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 5:36 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 - 2?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3\/(w\/(w\/(w\/w**4)))*(w\/(w*w*w**(1\/3)*w*w))**(12\/11))\/(w**0*w**(-2\/3)*w**(3\/7)*w\/((w*w**3)\/w)) assuming w is positive.\nAnswer: w**(1063\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/((-21)\/(-42))*59\/((-1003)\/1530).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143978471 + -143978046.399963. Let v = l + -319.6001. Let q = v + -105. Round q to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146441892.\nAnswer: 2, 3, 19, 31, 20719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1937 - 2274. Is -337 equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8366729?\nAnswer: 7, 1195247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013638196897 rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 12:00 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 20, -3\/10057, 0 in ascending order.\nAnswer: -1, -3\/10057, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 1:49 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*g + 278*g - 567*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 84?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*12*7\/56?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-2))\/((-1)\/6). Let v = -8 - -8. Suppose 4*u - 5*y - 157 = -v*y, -o = 3*y. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 14.2. What is the smallest value in -0.3, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.7 - -1.3. What is the smallest value in -3, p, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*x = 3*x - 50*x - 2192 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 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: What is the closest to -0.2 in 29, 0, 2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 102450565 + 1?\nAnswer: 102450566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 933\/8188 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 - 2)*(-2*j + 0*j + 3*j) - 2*j + 2*j - 3*j - 2.\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1819090 and 520?\nAnswer: 7276360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001275 rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-19799)\/(-21322))\/((8\/14)\/(-1))\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582034*l - 183*l**2 + 582034*l.\nAnswer: -183*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*d + 272, 5*f - 6*d - 284 = -5*d. Let g be 28\/6 + (-8)\/12. Suppose g*o = 2*o + f. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhrhhh. Give prob of picking 2 h and 1 r.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 16 - 20. Suppose -5*q = 2*d - 15, -m + 60 = 4*d + 3*q. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 3. Let u(s) = 2*s**2 - s + 12. Let c(b) = b**2 + 6. Let d(x) = g*c(x) - 2*u(x). Does 15 divide d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(12\/16)*1513\/(-356))\/1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1753 is divided by 369?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w - 119 = 25 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 2*o**2 + 8*o - 9. Let j be p(-8). Let l be j\/(-414) + 3\/(-2). Put 0, -3\/10, l, 4 in descending order.\nAnswer: 4, l, 0, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -225, -462, -705, -960, -1233, -1530?\n\"Answer: -s**3 + 3*s**2 - 239*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/22 and -63\/48554?\nAnswer: 48554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 557546 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*k + k + k)*(k + 0*k + 0*k)*(-6 + k**2 + 6) as m + r*k + h*k**4 + c*k**3 + q*k**2 and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**6\/36 - 11*h**5\/24 + 5*h**4\/4 - 1871*h. Factor y(a).\nAnswer: 5*a**2*(a - 9)*(a - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven tenths of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 446916721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*sqrt(77)*-1*-3)\/(-5*sqrt(44)\/(sqrt(4)*-2))*-3)**2.\nAnswer: 56700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478675513.\nAnswer: 478675513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/4 - 58767*j**3\/4 + 191854665*j**2\/2 - 208737865725*j - 208833807750.\nAnswer: 3*(j - 6530)**3*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 3, -0.4, -1\/4, 1829177 in decreasing order.\nAnswer: 1829177, 3, -2\/17, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 160896985 a multiple of 1080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 5*n + 6. Let m be t(-4). Let w be 1 + (3 - -13*m). What is the highest common factor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jggassggavsg. What is prob of picking 1 g, 1 v, and 1 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11236850.\nAnswer: 2, 5, 224737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039097909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1 (b) -4 (c) 2 (d) 4\/1479\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 7*n = -2*n + 5, 2*i - 4*n - 16 = 0. Find the third derivative of 4*b**2 + 0*b**i + b**2 + 4*b**6 wrt b.\nAnswer: 480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1733 + -800. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/9471 and 46\/1435.\nAnswer: 47355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*v**2 - 151*v**3 + 69*v**2 + 71*v**3 + 84*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-260)\/(-14)) + (-582 - -598)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 71*i**2 - 297*i - 225. Let x be z(75). Which is the nearest to x? (a) 51 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 16673.\nAnswer: -4\/16673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -4, -3, -1\/4, -1\/2 in descending order.\nAnswer: -1\/4, -2\/7, -1\/2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 93*b - 174 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 13. Let t = c - 20. Let w = t - -48. What is the remainder when w is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -611 - -1424. Suppose -2*u + b = o, u - 7*o + 8*o = 407. List the prime factors of u.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 10) in base 6?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -301205.206 rounded to the nearest 1000?\nAnswer: -301000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + a - 25 = 0, 0 = -5*z - 2*a + 9130. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 11 = -2*y - 1, y - 12 = -4*p. Let o(q) be the first derivative of -1\/2*q**2 + 1\/16*q**4 - 1\/12*q**p + q + 2. Factor o(n).\nAnswer: (n - 2)*(n - 1)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2 = -2*t. Let q = 0 - 2. Let p be t\/q + (-145)\/(-2). Calculate the greatest common divisor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1, 9, -1\/6, -62?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/383 and 10759 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 80*g**2 - 52*g - 5. Let u(n) = n**2 - n - 1. Let d(q) = -k(q) + 4*u(q). Find the second derivative of d(o) wrt o.\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 5:42 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27540 and 663.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -38. Suppose 0 = 95*p - 1167 - 923. Solve y = -3*i + p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-12))\/b*b**(-10)*b*b**(2\/19)\/b*b*(b\/b**(-2\/5))\/b assuming b is positive.\nAnswer: b**(333\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40939 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4813, -5, 0.5, 2\/7, 0.05, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350293, 350298, 350303, 350308, 350313?\nAnswer: 350318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3414*v**2 - 1131*v**2 + 3125*v**2 + 1354*v**2 + 2858*v**2.\nAnswer: 9620*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) 5 (b) 10\/11 (c) 0 (d) -0.81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*t = -385, 0*t + 4*t = 3*p + 3*t + 29 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 47 = u, 0 - 5 = w + 5*u. Suppose -15*v = -w*v - 7480. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 4, 363\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1182381*l*m*s + 47*l*m + l*s + 928644*m - 18*s**2 with respect to s.\nAnswer: 1182381*l*m + l - 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*h + 6, -4*h + 5 = -3. Which is the closest to p? (a) -0.3 (b) -2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgi when three letters picked without replacement from {i: 3, n: 4, g: 3, w: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i**2 - 42*i + 30. Let k(h) = 9*h**2 + 63*h - 46. Let n(c) = 5*k(c) + 8*w(c). Calculate the smallest common multiple of n(-7) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11448.24 to the nearest one hundred.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Suppose -4*z = -5 - 3, q + 4*z - 9 = 0. Let p = 9 - 14. Which is the closest to q? (a) -0.5 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2224 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 + g - 2. What is the remainder when 95 is divided by m(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2519 - -2519. Is 1\/5956 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 greater than or equal to -15312\/821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**3 - 1425387*f**2 + 8552403*f - 12828645 = 0. Calculate f.\nAnswer: -475135, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 0 (c) 1\/17 (d) 414 (e) 98 (f) 3 (g) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -8502.\nAnswer: 23\/8502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 2. Let r(w) = w**3 + w - 5. Let j = -8 + 8. Let c be r(j). Let s(l) = -2*l - 2. What is c*s(h) - 6*m(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 2*k**2 + 4*k - 3. Determine g(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*w + 1 = z, -2*z + 10 = 2*w. Suppose 34 = f - 2*r, -r - r = -4*f + 142. Suppose -4*u + f = p + 3*p, -u + z*p = 3. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -42526?\nAnswer: -42531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**4 + 65*s**3 + 515*s**2 - 1205*s + 630 = 0.\nAnswer: -7, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147331796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2441*r - 11649*r - 566*r.\nAnswer: -9774*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(0 + m**2 + 0) - 5*m + 4*m + m**2 - 14*m**2.\nAnswer: -14*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 1, 2, 41, -3, 7, 0 in decreasing order.\nAnswer: 41, 7, 2, 1, 0, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/20*15*13\/(-78). Which is bigger: k or 776?\nAnswer: 776","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*t - 66*t + 261*t - 47*t - 53*t - 53*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 40, 1290 in decreasing order.\nAnswer: 1290, 40, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 24 + 25 + 260*n**3 + 3*n - 3*n.\nAnswer: 260*n**3 - 3*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-204)\/357?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (47824\/5856 - 10\/12)\/((-2)\/6*-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -617, -1616, -2997, -4760, -6905, -9432, -12341?\nAnswer: -15632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.36 - 4.74. Let s = 20 + j. What is the closest to 1 in s, 23\/2, -2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14380259.72 rounded to the nearest one thousand?\nAnswer: 14380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -180, -278, -372, -462, -548, -630, -708?\n\"Answer: 2*q**2 - 104*q - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7))**(-1\/6))**23 assuming n is positive.\nAnswer: n**(23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -970\/34771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -10, 11, -35, -38, 5 in decreasing order.\nAnswer: 18, 11, 5, -10, -35, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96677 or -96680?\nAnswer: -96677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2\/2 - 7947*f + 1108536 = 0.\nAnswer: -5434, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-6))\/(1\/156). Suppose 0 - a*i**4 - 245*i**3 - 90*i**5 + 10*i + 2*i**2 - 59*i**3 - 78*i**2 + 4 = 0. Calculate i.\nAnswer: -2, -1, -1\/3, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/2*(105252\/(-126))\/(-179)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -81. Suppose 36*f - 966 = g*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 + 4*b - 84 + 20*b**2 + 4*b - 2*b**3.\nAnswer: -2*b**3 + 20*b**2 + 8*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-48)\/(x\/x**(2\/13)*(x**(1\/2)*x)\/x))\/((x**4)**(-40))**23 assuming x is positive.\nAnswer: x**(96893\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1882 + -706. Is (-1)\/((-2)\/d) + -3 + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 341 - 338. Let g(y) = 10*y**3 - 4*y - b*y + 8*y. Let j be 1*(-1 + 0)\/1. Calculate g(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2286.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 7*g**2 - 11*g - 59. Let f be h(9). Solve i - 2*n + 7 = -6, -i - f*n = -11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 6:43 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**2 - 19*k**2 - 4*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmnmnmmmnmm. What is prob of sequence mnn?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - 45*d - d**2 + 3*d**3 + 46*d + 7*d**2 - 3 + 2 as h*d + g*d**4 + u + s*d**2 + i*d**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*c - 19, 0 = -3*q + 2*c + 2*c - 7. Let x(k) = k**2 + k - 2. Let i be x(q). What is the derivative of 22 + i*o - 32 + 9*o wrt o?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 7 = 3. Let s be (70\/17 + -4)\/g. Which is smaller: -3 or s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9079\/3 - -3033. Let p(s) be the first derivative of 0*s - n*s**3 + 13\/2*s**2 - 7. Find the second derivative of p(k) wrt k.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -27 - 38. Is 5 a factor of -1*(y + 0) - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 314787 and 528.\nAnswer: 5036592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -14*g + 4. Suppose g*b + 155 = 7*b. Suppose -b = -8*f - 7. Solve -4*v - 1 = -5*u + 8*u, f*v - 15 = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 888401569?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 - -2.2. Let c = 4.1 + x. Let p = 112861 - 112861.4. What is the closest to -9 in p, c, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10902 and 4499214.\nAnswer: 355437906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 1, -4*j + 15 = 2*h - h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*x - 1044 - 1286 - 990 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*l = 39, -5*b + 6*b + 5*l - 25 = 0. Let r = 6 - 15. Let d = b + r. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -554 + 6797?\nAnswer: 6243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126691723 is divided by 14660.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 + 41336. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -159*f**5 + 4*f**3 - 5*f**3 + 139*f**5 + (-7*f**2 + 3*f**2 + f**2)*(f**3 + 0*f**3 - 2*f**3).\nAnswer: -17*f**5 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85554 and 7020?\nAnswer: 33366060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 c when three letters picked without replacement from {y: 2, c: 9}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = k - 5*w + 23, 2*k + 2*w + 4 = 0. Let h = 130 + -74. Suppose k = 4*o - 5*o + h. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 1376*g**5\/5 + 5*g**3 - 13*g + 533. Find the third derivative of u(p) wrt p.\nAnswer: 33024*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5024 divided by 8?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18324)\/(-60) - (-3 - 119\/(-35)). Does j = 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 20*m**2 + 48*m - 270. Give g(-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 42*r + 13*r**2 - 3*r**2 - r**2 - 174 + 207 = 0.\nAnswer: -11\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2406612 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*s)*(-1 - 3 + 2)*(2*s**3 - s**3 + s**3)*(-1 + 5 - 2).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 + g**2 - 2*g + 5. Let i be n(-4). Let a be (-2883)\/24 + (-20)\/(-160). Let j = i - a. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 32, 53?\n\"Answer: 21*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 47186076?\nAnswer: -47186071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4 + 10*o**3 - 24*o**2 + 22*o - 7 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -865 - 1745 = -145*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7939534.\nAnswer: 2, 31, 37, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 + 1 = 0. Let m = -8864 + 8882. What is the remainder when m is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149903 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*o**4*z - 7*o*z - 75*z wrt o?\nAnswer: 36*o**3*z - 7*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - -537.\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-2\/11)*z**(2\/9)*z**(-1\/4) assuming z is positive.\nAnswer: z**(-1\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*v - 1 = 1, -v - 5 = -2*j. Which is smaller: 50\/23 or j?\nAnswer: 50\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:11 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(3\/11)\/o*o)\/o*o)\/o)**(-6\/13) assuming o is positive.\nAnswer: o**(48\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-40))\/((-171)\/(-45))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*s + 1781 = 0, 0 = 19*s - 24*s + 25. Let f = -847 - t. Calculate the greatest common divisor of f and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/220 and 163\/198?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -23*p - 158. Let r = 224 - 231. Let d be c(r). Put -21, d, -3, 1 in increasing order.\nAnswer: -21, -3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1293*l + 2096*l - 147041 = -96*l - 14611 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4415.83 - 4415.430014. Let u = -0.4 + d. Round u to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/35)*((j**7\/j)\/j*j)\/j)\/(((j\/(j*j**(-1\/3)))\/j)\/j**14) assuming j is positive.\nAnswer: j**(2059\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 258*t**2 + 63*t**3 + 2 + t - 258*t**2. Let p be b(2). Let q = p - 63. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**2 - 22*x - 20*x + 8*x**2.\nAnswer: -x**2 - 42*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -162309, -649228, -1460753, -2596884?\n\"Answer: -162303*t**2 - 10*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 782.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 + 6. Let x(c) = 6*c**2 + 7. Let s(j) = 5*n(j) - 4*x(j). Differentiate s(a) wrt a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4331356 (base 7) in base 8?\nAnswer: -2010557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.178 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/3 and -17\/2112.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28783 by 633.\nAnswer: 28783\/633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 263274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 0.2 (c) -3\/19 (d) 5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r*r**(-4)*r))*r*r*r**(-6\/11)*r)\/((r*r\/(r\/(r**(1\/7)\/r)))\/(r\/r**(2\/9))) assuming r is positive.\nAnswer: r**(1448\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -1 + 4 + sqrt(147))**2*-6 - (5 + (-2*sqrt(243) - (1 + sqrt(3) + -5)**2)).\nAnswer: -3568 - 494*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + ((-3 + -1*sqrt(1300) - (0 + (sqrt(1300) + sqrt(1300) + sqrt(1300) + sqrt(1300) + -1*sqrt(1300) + sqrt(1300) - sqrt(1300)))) + 0)*-1)*6)**2 + 3.\nAnswer: 20160*sqrt(13) + 750567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 2*g**2 + 7*g**2)*(0*g - g + 44 + 60)*(g**2 + g**2 + 0*g**2 + (-3*g + 3*g + 2*g)*(-2*g + 1 - 1)).\nAnswer: 18*g**5 - 1872*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*o**2 + 2\/3*o + 4\/3.\nAnswer: -2*(o - 2)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -15*f**2 - 5*f - 3. Let x be s(2). Is x <= -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + m + 33, i + 2*m = -0*i + 4. Suppose 5*f = -i - 136. Is f*(-2 - (-7)\/5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*f**4 - 2*f**3 - 42 wrt f.\nAnswer: 224*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -110788364 minus 1072?\nAnswer: -110789436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09790615487 rounded to three dps?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*6\/(-2) - 1. Suppose 0 = k*g - 4*p + 10, 3*g - p + 1 - 6 = 0. Let u(n) = 7 + 0*n**3 - 10 + 0 + 4*n**2 - n**3 + 0*n**2. Calculate u(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 a when three letters picked without replacement from {s: 1, a: 2, z: 7, p: 2}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54483 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 5*z - 13. What is t(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 255099 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/5 - 36324*z\/5 - 109952748\/5.\nAnswer: -3*(z + 6054)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13086, -13093, -13112, -13149, -13210, -13301, -13428?\nAnswer: -13597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5904783 times 1.2?\nAnswer: -7085739.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a + 55?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 2*k**3 - 974 - 36*k**2 + 130*k**2 - 47*k**2.\nAnswer: 2*k**3 + 47*k**2 - k - 974","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10541 (base 6) to base 7.\nAnswer: -4243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2742531681 to the nearest integer?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*f = -11, 0 = 2*f + 2 - 0. Calculate the least common multiple of w and (-4)\/3 - (-1680)\/72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 118, -1, 27.\nAnswer: -3, -1, 27, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -150*w**2 + 136*w - 53. Let y(h) = 94*h**2 - 91*h + 35. Let q(n) = 5*x(n) + 8*y(n). What is q(23)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - -1 - (-3 + 7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by -8 - 0\/2 - (-10368)\/96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002045883 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 30 + 6. Suppose -20*v + 23*v - 66 = 0. Let h(y) = v*y + 7*y**2 - y**3 + 567 - 29*y - 568. Determine h(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1310107 or -1310100?\nAnswer: -1310100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*i + 6 + 17 = 0, 4*i = -4*k + 20. Solve -k = 2*u + 6*z - z, 0 = 2*z - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 20*y - 5*g = 8, -3*y - 4*g = 4. Let m be (-2)\/6 + 2\/6. Let a be 2\/(-6)*0 + m. Solve a = 2*f + y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 46 + 8*h - 7\/3*h**3 + 1\/2*h**2 - 1\/4*h**4. Give r(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 0.04. What is s rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -147*t + 150*t - 33, 2*x - 55 = -5*t. Solve 16 = 2*v - 2*w, -10*w + t*w + 17 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 11:12 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Does 5 divide (40\/12)\/(v\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y. Let j(s) be the second derivative of -4*s**5\/15 - 67*s**2\/2 + 28*s. Let m(d) be the first derivative of j(d). Determine i(m(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 785 and 2041.\nAnswer: 10205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and (-100)\/(-600) + 263\/6?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2246.09 + 2196. Round t to zero dps.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 - -83. Let v be 9\/7 - g\/42. Is -1\/17 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8864, -18143, -27514, -36971, -46508?\n\"Answer: v**3 - 52*v**2 - 9130*v + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -2\/49 (c) -1\/10 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 237 = 3*v - 318, 3*v - 540 = -2*y. Let l = v - -82. What is the highest common factor of l and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -50, -34, -16, -2, 2, -10, -44, -106?\n\"Answer: -a**3 + 7*a**2 + 2*a - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38823 + -38839.009. What is b rounded to one decimal place?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q. Let v(h) = -h**2 - 10*h - 18. Let l be v(-4). Let j(z) = 4*z. Let r(t) = l*n(t) + 7*j(t). Let s(c) = 14*c**2. What is s(r(k))?\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 6\/(-15))*(2 - -3). Calculate the remainder when 137 is divided by ((-2)\/(-5))\/(x*(-1)\/230).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 26, -3, -214, 5.\nAnswer: -214, -3, 5, 7, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) + 12\/(-36). Let i = v + 2. Suppose i*y = 3*j + 61, -j - 41 = -3*y + 54. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 6:44 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 32564, 4, 3101 in ascending order.\nAnswer: 4, 3101, 32564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -29. Is 8 a factor of 6\/q - (-77)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 97 in -3, 1, -8\/5, -92\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*p - 6. Suppose -20 - 1 = -3*a + 3*o, -p*a = 2*o + 4. Let w be a - 1\/(1\/(-3)). Solve x + x - 3*r + w = 0, -x = -2*r + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*f - 6*f - 12058, 0 = 5*d + 5*f - 30190. Is 116 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19166 + 22306 = -759*t + 486 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -30. Suppose -5*l + n = -3*h, -h + l - 5*l = -22. Suppose 0 = -f - 3 + h. Is f at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 17*n - 6. Let s(b) = 8*b - 3. Let a(c) = 13*s(c) - 6*y(c). Let t be a(3). Suppose 0*f + 2*f - 71 = t*r, -84 = -3*f - 3*r. Solve -4*j - 11 = -f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2421 - 2424. Suppose -30 = -3*k - 0*k. Suppose 0*m = 2*m + k. Let z(j) = 5*j**2 + 3*j. Let i(w) = -10*w**2 - 5*w. Calculate f*i(y) + m*z(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(3 - -1)*-2. Let m = -1.4 - -1.8. Which is the closest to 1? (a) s (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 4*a + 34, -2024*a = -2019*a + 6*t + 40 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172642, 164515, 156388?\nAnswer: 148261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8064 and 37912?\nAnswer: 5459328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 23 = 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1441.9+-2629424702\nAnswer: -2629423260.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54875 is divided by 196.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**7\/2520 + t**6\/90 - t**5\/24 + 4*t**4 + 61*t**2. Let s(x) be the second derivative of w(x). Determine s(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - ((-5)\/11 + 0). Let p = 11948.4 + -11949. Which is the nearest to -3? (a) v (b) p (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3024 is divided by 67.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-546)\/(-156)*(-48)\/14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/(-22) - 2\/(-11). Suppose -7*p + d*n + 26 = -4*p, -p + 4*n + 22 = 0. Suppose 0 = 3*l - 25 - 8. What is the remainder when l is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132178057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*u - 4 = 12, -3*x = -u - 4. Which is the smallest value? (a) -67 (b) -3\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/15932 and -107\/23954.\nAnswer: 27259652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -1000101?\nAnswer: -111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -238ba (base 15) to base 7\nAnswer: -651316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 141552835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100553973?\nAnswer: 3, 13, 467, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5098 + 30589\/6. Which is the closest to -169? (a) 0 (b) 0.4 (c) k (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3108264*m**2*p**5 - 58*m**2 + 44241*m*p**2 wrt p.\nAnswer: -186495840*m**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*j + 467*j**2 + 385*j.\nAnswer: 467*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 495557*f**4 + 1826900*f?\nAnswer: 5946684*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**4\/12 - u**2. Calculate the smallest common multiple of 6 and v(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 19*s. Let y(v) = -v + 2*v - 189952 + 189952. What is l(k) + 6*y(k)?\nAnswer: 25*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6170*n - 4155*n - 60962 - 579188 for n.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78284492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -4*j - 5*a, 5*a = -5*j + 15 + 130. Solve -3*d - j = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-70)*133 + (-120)\/12\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 + -2 - -5) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 176\/3 + 16*d**2 + 1\/6*d**3 - 182\/3*d - 1\/6*d**4.\nAnswer: -(d - 8)*(d - 2)**2*(d + 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32682 is divided by 1142.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13784.194 rounded to the nearest 10?\nAnswer: -13780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*1*sqrt(11).\nAnswer: -1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1545791\/42 - 36812. Let o = -935\/63 - g. What is the common denominator of -17\/22 and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z + 62. Let w = -201 + 187. Let u be y(w). Calculate the highest common factor of 220 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -31, 296, 941, 2012, 3617, 5864, 8861?\nAnswer: 12716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - k**2 - 8*k + 9. Let d be p(3). What is the second smallest value in 0.2, -2\/17, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.4088.\nAnswer: 1.2264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003112 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646305690 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21113 + -1231?\nAnswer: -23010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - ((sqrt(5)*1)**2 + -2)) + 1)*-1.\nAnswer: -sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n + 4*n**2 + 5*n**2 - 4*n in the form u*n**2 + v*n + c and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 442 * -41\nAnswer: -18122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 226 - 223. Solve -r*g + 5*g = -8, 3*g + 6 = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*q + 6*q - 564, -2*l + 8 = 0. Suppose 4*i - q = 3*d, 3*i - 50 - 166 = -3*d. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 308309476?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1300)\/(-13)*(-25)\/1625*-13?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 - -12120?\nAnswer: 12242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114027*q**3 - 140806*q**2 - 2.\nAnswer: -684162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318.24266 rounded to 1 decimal place?\nAnswer: 318.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*p + 66. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 4\/7, 0.37, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -12*b - 5. Find the first derivative of -4*g**3 - 9 + b*g**3 - 2*g**3 wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 377*q - 372*q - 7*b - 190, 2*q + 3*b + 0*b - 76 = 0 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.03 rounded to zero dps?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 5, -2, -5, -18, 0 in ascending order.\nAnswer: -18, -5, -2, 0, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 + 135. Suppose -5*g = m - 236. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - 0. Let m = k + 2. Let v be 4\/(-10)*(-1)\/2. Sort v, 3, m in decreasing order.\nAnswer: 3, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6521 less than -21728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88553, 88827, 89103, 89381, 89661, 89943, 90227?\nAnswer: 90513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 3 - (-19)\/(-2). What is the third biggest value in 5, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/6*(4 - 7). Let r(v) = -v**2 - 16*v - 6. Let y be r(-14). Suppose -14 + y = z*w. Put w, 5, -5 in descending order.\nAnswer: 5, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1134 - -2344?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 85. Calculate f(95).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w + 115847 - 1015399 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116674 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/15*1 - 44\/(-10). Suppose -3*h + 23 = -m*j, 3*h - j = -0*h + 26. Let y(g) = g**3 - 10*g**2 + 8*g. What is y(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5329 (base 12) in base 5?\nAnswer: -242410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 19, -2\/79 in decreasing order.\nAnswer: 19, 0.6, -2\/79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*h + 16 - 38 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 0*n + 4*n + 15*n. Let g be (-1)\/4 + (-5)\/(-4). Let j be k(g). Calculate the greatest common factor of 171 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3726 and 54.\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/363968 and 93\/1819840.\nAnswer: 1819840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*m + 98, 2*z - 689*m + 691*m = 238. What is the remainder when z is divided by 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/50199 and -10\/667.\nAnswer: 1154577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-3 - (10 - 9) - -11)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/10 - ((-2466)\/20 + -1) is divided by 113.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 8:09 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50106 - 98678. Let q = t - -24572. What is q rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 839.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 21*l**2 + 5*l + 3. Let i be n(-3). Suppose 10*p - 13*p = -i. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8181 bigger than -8155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5\/7 - 422*v**4\/7 - 836*v**3\/7.\nAnswer: -2*v**3*(v + 2)*(v + 209)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 43053024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (247 - 4025 - 4983 - 1756)*(4*j**3 + 0*j**3 - 5*j**3) to n*j + k*j**3 + v*j**2 + o and give k.\nAnswer: 10517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8390868*-9.\nAnswer: -7.5517812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-14) - 918\/(-63). Let n(r) = -r + 6. Let x be n(0). Let i = b - x. Solve -3*d = -0*d - i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3, -2*c = 11*s - 8*s - 31. Let a be 5\/(-25) + 62\/10. Solve 0 = 2*p - i + a*i + 18, c = -5*i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3 = -o + 1, -3*o = -g - 25. Suppose -o = -h - 1. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t**2 + 6*t - 5. Let r be u(-11). Let b = 1809 - r. Let s = b + -613. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1428 + 1433. Let y(u) = -2*u**3 + 5*u**2 + 13*u. Let w(c) = c**2 + c. Calculate p*w(k) - y(k).\nAnswer: 2*k**3 - 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -14*q**2 + 2*q. Let x be t(3). Let k be (-4)\/x*-4*-48. Factor 12\/5*c**2 + 2\/5*c**3 + 2\/5*c - 48\/5*c**4 + k*c**5 + 0.\nAnswer: 2*c*(c - 1)**2*(4*c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/5, 3\/2, -2\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167852309 to the power of 1\/3, to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5037, -20184, -45471, -80928, -126585, -182472, -248619?\nAnswer: -325056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/44 and 9950\/(-6600) - 3\/4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 13463 + 2155 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 200.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2656 - -4709. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pllllllppllllpllpll. What is prob of sequence lpl?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 16. Let y = -1.54 - -1.74. Sort y, -1, d in increasing order.\nAnswer: d, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 100\/(-32)*(0 + (-6)\/45). Let b = 35\/76 + -4\/19. Let k = b - a. What is the biggest value in k, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*z - 30, -2*z - 5*l + 53 = -6*z. Let u(i) = 80 + 0*i + 105 + 5*i - 4*i - 194. Determine u(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43755, -87308, -130861, -174414, -217967, -261520?\nAnswer: -305073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78668, 315075, 709204, 1261055, 1970628, 2837923?\nAnswer: 3862940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2.8. Let m be ((-9)\/8)\/((-3)\/(-2)). Let l be (-4 + 3)\/((-26)\/(-6) - 4). Which is the closest to -0.1? (a) m (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1227*x - 8 - 160*x + 6 + 2 to the form d*x + v and give d.\nAnswer: 1067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(2\/17)*o)*o)\/(o\/(o*o\/(o**(3\/7)\/o))*o))**(-13)\/((o\/o**(-1\/2))**(17\/3))**(22\/3) assuming o is positive.\nAnswer: o**(-24359\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -5, 1 in increasing order.\nAnswer: -5, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyfyyykkyghgyk. Give prob of picking 1 y, 1 k, and 1 f.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -380 + 407. What is the common denominator of ((-146)\/(-18))\/(v - 28) and 37\/63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/16*6 - (-2322)\/48. Is 142\/3 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3898 + 2505418*o - 3898.\nAnswer: 2505418*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1 + t - 2 - 1695*t**3 + 1696*t**3. Let h(k) = -7*k + 6. What is -h(n) - 6*q(n)?\nAnswer: -6*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56984.02 centimeters in kilometers?\nAnswer: 0.5698402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**4\/7 + 12*g**3\/7 - 40*g**2\/7 = 0. What is g?\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 97636.\nAnswer: 488180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, o: 5, q: 5, n: 2, i: 3, s: 1}. What is prob of sequence oioq?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17477.8l to millilitres.\nAnswer: 17477800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3 - 1351*k**2 - 112880*k - 2289600 = 0.\nAnswer: -40, 1431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.09 + -0.09. Let r = p - 5.3. Which is the second biggest value? (a) 0.5 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28677 - 28676.58214. Let q = c + -0.44. What is q rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d, 3*d = -5*i + 40. Let x = -8 - -10. Suppose -2*m = -m + x*a - 23, 3*m = -5*a + 64. What is the remainder when m is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1414*v + 1550*v = -74100 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*w - 2*w = -4*q + 884, -2*q = 3*w - 70. What is the lowest common multiple of w and 3264?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/5*(-1353)\/(-9471).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*h + 65, 0 = -3*m - m - 3*h + 145. What is the greatest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 25*v**2. Let q be -2*(2 + -1) - -6. Let y be 3\/(-9) + q\/(-6). What are the prime factors of n(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x**3 + 5*x**2 + 7*x + 7. Let a(t) = -t**2 - t - 1. Determine -14*a(u) - 2*w(u).\nAnswer: -14*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**8\/392 + 8*j**7\/735 - j**5\/21 + j**4\/28 + 2*j**3\/21 - 75*j**2. Find f, given that o(f) = 0.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-18)*14904\/72?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/11)*g**1)\/(g*g*g*g\/((g*g**(-2\/7)*g*g)\/g))**(1\/11)*((g*g**4)\/(g\/(g*g**2\/g)))**49 assuming g is positive.\nAnswer: g**(22783\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 128\/114759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*s - 5*i, 2*s - 7 = -i - 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 85*z + 5. Let d(v) = 44*v + 3. Let p(a) = 7*d(a) - 4*u(a). Let b be p(0). Sort b, 2\/9, 10, 4 in increasing order.\nAnswer: 2\/9, b, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 13. Solve -c*y - t = -2*t, -4*y + t = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.3 (b) -1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 49917, 50329, 50741, 51153?\n\"Answer: 412*a + 49505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u + 94. Let t be r(-17). Solve 10*p + t*p = 95 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18916 (base 10) to base 15\nAnswer: -5911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/12 and -115\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 35 = 5*w, -2*w + 0 = 2*f + 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83797.89 weeks to minutes.\nAnswer: 844682731.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0073 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 300400 to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 40 = -0*p. Let g be (0 - 3)*10\/6. Let y = 13 + g. Calculate the highest common divisor of p and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(70)\/(sqrt(63) + sqrt(7))) + -2)**2 + -3 + sqrt(28)\/(3*sqrt(4)*-1).\nAnswer: -49*sqrt(7)\/3 + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6281?\nAnswer: 11, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4\/2 - 6*l**3 - 9*l**2\/2 + 21*l - 12.\nAnswer: 3*(l - 4)*(l - 1)**2*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 9*o - 12. Let y be q(14). Suppose 4*u = -4*i + 3*i + 239, -5*u + i + y = 0. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, a: 4, t: 4}. Give prob of picking 1 t, 1 o, and 1 a.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52395344.\nAnswer: 2, 29, 112921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 150810750 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68502.\nAnswer: 2, 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6030 = 292*t - 1240 - 805 - 7401 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t. Calculate the least common multiple of 15*(3\/(-45) + 4\/10) and y(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 4*s**2 - 4*s - 3. Let f be (8\/2)\/((-4)\/(-6)). Suppose -3*q = -q - f. Suppose -q*g + 5 = 14. Determine z(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -769846*d**2 - 769922*d**2 + 1539660*d**2.\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-1))\/(1 + -2). Suppose 3*h + 0*h - 57 = i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 94078.69 kilograms?\nAnswer: 94078690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-324)\/48)\/(56\/(-140)*(1 + -6))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 18. Let b be ((-36)\/6 - -7 - 1)\/(-4). What is o(b)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -210 - -218. Suppose 0 = -y*b + 31 + 57. Which is greater: 12 or b?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2678.\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0937 and 4.\nAnswer: 0.3748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10974773\/31 + 354061. Let i = g + -13079\/434. Calculate the common denominator of i and -1 + 2*(-1)\/8.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 818574?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8344, -8349, -8342, -8317, -8268?\nAnswer: -8189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) + 2*sqrt(80)))\/sqrt(8))\/((sqrt(162) - sqrt(162)*2) + sqrt(162) + sqrt(162)).\nAnswer: -2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386 bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/13 (b) 2\/9 (c) 2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4284\/13 (b) -2 (c) -1081\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 - 5)*(4 - 3 - 3) - 3 + 1 + 1 + (5 - 2 - 1)*(0 - 1 + 3))*(f + f + 0*f) to the form s*f + r and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-1)\/(-9)) + (17 - 513\/27)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 5*y**6\/288 + y**5\/48 + y**4\/96 + 5*y**3\/6 + 8*y**2. Let m(j) be the first derivative of p(j). Factor m(g).\nAnswer: (5*g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*v = 32, -3*v + 75 - 207 = -5*r. Solve 0 = -4*q + 5*f - 4, 5*q - r = 2*q - 3*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39577634 + -39578093.09995722. Let y = 459.1 + i. Round y to six dps.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-4))\/(2\/48). Let l be (2 - s) + (-1 - 1). Let p be (-81)\/(-12) + 15\/(-20). Calculate the greatest common divisor of p and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 6*v - 2. Let k be g(3). Let m = 9 - k. Suppose -m*y - 2 = 6, 4*r - 3*y - 68 = 0. Calculate the remainder when 54 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 544 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 29*i**2 + 867*i - 517. Let s(b) = 14*b**2 + 434*b - 258. Let g(q) = -11*s(q) + 6*x(q). Determine d so that g(d) = 0.\nAnswer: -22, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 19 + 2 = -u, 2*u + 33 = -3*b. What is the units digit of (-7519)\/b - 12\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 41.2 (b) -5 (c) 7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5011397 millilitres?\nAnswer: 0.0005011397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**5\/24 - r**4\/6 - r**3\/6 + r**2. Let y(n) be the first derivative of x(n). Let l(s) = -3*s + 3. Let c be l(2). Give y(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 11 - 2304\/510 - 24\/(-204). Let r - 1\/5*a**3 + 1\/5*a - 43\/5*a**2 = 0. Calculate a.\nAnswer: -43, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 + 4*g**2 - g**2)*(3 + 3 - 5) - 2*g**2 - g**2 + 4*g**2 + 21*g**2 - 17*g**2 + 26*g**2 as f + a*g + n*g**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/4, 0, -1\/57, 180, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from hdofc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 11*f + 29. Let o be k(-13). Solve 10 = -5*b - 3*p, -o*p + 2*p = -4*b - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -3*v + 8*v + 5*f, 2*f = -3*v + 95. Find the third derivative of v*u + 26*u**6 + 26*u + 13*u**2 - 55*u wrt u.\nAnswer: 3120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*i - 3*q, -3*i + 0*q = q - 58. Suppose 0 = 6*d - 2*d + 48. Let r = -4 - d. What is the smallest common multiple of i and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 57*a - 34. Let s(l) = 8*l. Determine i(s(d)).\nAnswer: 456*d - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 67b (base 12) to base 16\nAnswer: 3bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 0, 7, 18, 33, 52, 75?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -42733 + 1198. What are the prime factors of s?\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57891 + 57891 + 9*s - 3*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaasndawmdaws. What is prob of sequence awsm?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**2 - 3196743*d = 0.\nAnswer: 0, 1065581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*h + 104*h = 1814*h + 104528 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32921.2 rounded to the nearest 100?\nAnswer: 32900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.7 - 4.8. Is -3\/233 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -542, 1, -2\/3, -4, -29, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6782 = -5*q - 68. Let v = 760 + q. Round v to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10*z - 6. Calculate b(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g + 25. Let l be u(-5). Suppose -l - 198 = -2*p. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1092587 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3968622 to the power of 1\/2, to the nearest integer?\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - 2*t + 4*t)*(-25*t + 0 + 0) to a*t**2 + l + y*t and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/8 + 3*s**2\/8.\nAnswer: -3*s**2*(s - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-77)\/(-24) + 2\/3 and -4\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375565 divided by 8?\nAnswer: 375565\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-4)*r)\/r**(-2\/9))\/(r**(-1))**39*((r\/(r\/r**(1\/5)*r))\/(r*r**(6\/11)))\/(r*(r*r\/(r\/(r\/(r*r**1))))\/r)**(3\/7) assuming r is positive.\nAnswer: r**(17759\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 5:34 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 288 - 292. Let a(m) = -5*m - 3. Let x be a(-2). Suppose s - 2 - x = 0. Let d(n) = -11*n - 13. Let c(r) = -5*r - 6. Calculate l*d(v) + s*c(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/5, 1736, -0.2, 0.1, -4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38406?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/15 - 1444*i**2\/15 - 69598*i\/15 - 270848\/5 = 0.\nAnswer: -23, 768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 4205414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2419431ng?\nAnswer: 0.0000000000000002419431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2613342*f**2 + 2613342*f**2 - 3178*f + f**3.\nAnswer: f**3 - 3178*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -20472930.43 to the nearest one hundred thousand.\nAnswer: -20500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 135355920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 119. Suppose 3*o = 2*m - 19, -6*o = -3*m - 3*o + 24. Suppose -y = -m*y. Is x(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**5\/5 - 7*t**4\/4 - 7*t**3\/3 + 15*t**2\/2 - 114. Factor b(u).\nAnswer: -u*(u - 1)*(u + 3)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 4. Let i(z) be the second derivative of z**2\/2 - 9*z + 11. Let g be 80\/14 - (-4)\/14. Determine g*i(u) + x(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 203 + 219 - 5*p**2 + 210*p + 18.\nAnswer: -5*(p - 44)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22120212112101 (base 3) in base 5?\nAnswer: 2132021203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by 299?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3381211447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 67*q + 73. Let z be i(-68). Which is the fourth biggest value? (a) 0.1 (b) 0.14 (c) -6 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**2 + 141745*q + 425280 = 0. What is q?\nAnswer: -3, 28352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1967 + -498.8033. What is the closest to 1 in -2\/17, 5, s?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4145 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 57151, 114295, 171439, 228583, 285727, 342871?\n\"Answer: 57144*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y**(-4)*y*y*y)\/y)*((y\/y**(2\/3)*y)\/y)\/y*y**(6\/13)\/y**7 assuming y is positive.\nAnswer: y**(-164\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66864*v**2 + 1138856*v**2 - 217970*v**2.\nAnswer: 854022*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/5 + 32*r**3\/5 - 191*r**2\/5 + 412*r\/5 - 60.\nAnswer: -(r - 25)*(r - 3)*(r - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 + 4555477*i\/2 + 15944145.\nAnswer: (i + 7)*(i + 4555470)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 86533 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 + 80*p - 274. Calculate q(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 divided by 2?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*l + 83*l - 4*l = 2862 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*((3 - 1 - 1)*(2*h + 3*h - 6*h) + h - 4*h + 5*h - 2137*h + 5160*h - 2246*h).\nAnswer: -778*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 + 2*q**3 - 3*q**3 + (15*q - 7*q - 5*q)*(7*q**2 - 42*q**2 + 10*q**2))*(-1 + 1 + 2*q).\nAnswer: -146*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - m - 56044 + 6318 = 0, 3*m = 2*r - 24858. Let s = 7940 - r. Is (2 - 1)\/((-22464)\/s - 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -7)*(-1)\/1. Suppose x = 2*n, -s*n = -4 - 0. Let w(z) = 2*z**3 - 4*z**2 + 3*z - 1. Let p be w(2). Do p and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(162) + 0 + 4 + sqrt(2).\nAnswer: 10*sqrt(2)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + 8. Suppose 5*c = 3*c + x. What is c rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.3 - 21. What is the nearest to m in 5\/4, 0, -2, 0.5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 13 + 202 + -190 + -7\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002224121 (base 5) to base 16.\nAnswer: 1e66db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*h**3 + 1\/5*h**4 - 1 + 4\/5*h**2 - 6\/5*h.\nAnswer: (h - 1)*(h + 1)**2*(h + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143698.59 microseconds in hours?\nAnswer: 0.000039916275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*y + 26 - 7 = 0, -4*b + 2*y = -2. Factor -64*f + 64*f + b*f**4 - 3*f**3 + f**2 - f**5.\nAnswer: -f**2*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - (-99)\/(-11))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifths of a decade?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 10:49 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 12596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -844.7 (b) -1\/4 (c) 2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108554249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-80 - 65556\/(-756))\/(1\/(-7))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/17)\/d)\/d**(2\/65)*(((d\/d**(16\/3))\/d*d)\/d)**40 assuming d is positive.\nAnswer: d**(-709447\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 8*q**2 + 6 + 17*q**2.\nAnswer: 9*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2338 + 2340. Factor 0 - 6\/7*w - 2\/7*w**z.\nAnswer: -2*w*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*c - 42, -4*a + 147 = -5*c - 60. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -17849 and -414399.4.\nAnswer: -432248.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**5\/60 + f**4\/4 + f**3 + 3*f**2. Let t be h(6). Let s(g) = 7*g + 4. Let x(w) = -20*w - 11. Determine t*x(v) + 17*s(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = c - 3348, 3*c - 3364 = 2*c - 11*b. What are the prime factors of c?\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, d: 2}. What is prob of sequence ddyy?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 303*w**2 + 5*w + 5. Let z(q) = 314*q**2 + 4*q + 4. Let j(x) = 4*t(x) - 5*z(x). Let h(g) = 2*g**2. Determine h(j(b)).\nAnswer: 256328*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 0.060489755?\nAnswer: 2.060489755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -23. Solve 0 = h*v - 5*o - 5, 3*o = 5*v + 9 + 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-12))\/(1\/(-6)*3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1905, 6, 3 in descending order.\nAnswer: 6, 3, -6, -1905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 67 times -0.1\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 7 + 9. Suppose -4*b + 20 = 2*g - 20, 4*g - 5*b - 28 = 0. Suppose -g = -3*j - j. Solve 3 = -u + j*v - 0*v, -12 = d*u - 5*v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-173 + 162 - b**2 - b**2)*(-122 + 56 - 7*b + 81) as n + a*b**3 + k*b**2 + y*b and give n.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5 + 90*v**4 - 349*v**3 + 432*v**2 - 172*v.\nAnswer: -v*(v - 86)*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 2.89191 (c) -0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 196513.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3601 - -10227. List the prime factors of c.\nAnswer: 2, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 197, -11859, 8?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(4*s**2 - 2 - 5*s**2 + 4*s + 6*s).\nAnswer: 2*s**2 - 20*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-24)\/106)*3. Let h = -54 - m. Let j be ((h - -5)\/((-8)\/12))\/(-1). What is the highest common factor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 6. Let k(y) = 2*y**2 - 5*y**2 + 2*y**3 + 4*y - r - 1. Let u be k(2). Solve x - u = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/5 - 1568*q**2\/5 + 314*q = 0. Calculate q.\nAnswer: -785, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -518d33 + e?\nAnswer: -518d25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127*h + 66*h - 11*h**3 + 63*h)*(289*h - 72*h**2 - 289*h).\nAnswer: 792*h**5 - 144*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -94b6fd + 3?\nAnswer: -94b6fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 7 - 11 = 0. Solve -2*n - k*n = 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157 - -160. Suppose t*o + 6 = 0, -o = -b + 3*o + 75. What is the remainder when b is divided by 7\/(7\/2 + -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 203, 0.2, 731\/11?\nAnswer: 731\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10562, -29046, -47518, -65972, -84402?\n\"Answer: h**3 - 18491*h + 7928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.723011 millennia to years.\nAnswer: 4723.011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**3 + 30*j**2 + 63*j + 5. Let d be g(-7). Suppose -3*t + 3 = -3. What is the closest to t in 2, -1\/2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 16*l**4 + 0*l - 12*l**3 - 10681 - 16*l**2 - 4*l**5 + 10681 + 16*l = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 20 = -4*k + 6*r, -16 = 4*k + 4*r. Let l(n) = k*n + 11*n - 4*n + 24*n. Let j(w) = 2 - 2 + 2*w. Give l(j(x)).\nAnswer: 62*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g - 37*g - 72*g - 24*g.\nAnswer: -127*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1291026?\nAnswer: 2, 3, 11, 31, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnpzononnnnonponnnn. Give prob of sequence op.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 768 and 30183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s**2 - s - 1. Let d(l) = -71*l**2 - 51*l - 21. Give d(t) - 8*z(t).\nAnswer: t**2 - 43*t - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 5) in base 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.569 times 100.47\nAnswer: 258.10743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 7. What is the third derivative of r**2 + 4*r**2 - 3*r**5 - r**n wrt r?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24 (b) -0.1 (c) 0.3 (d) -1 (e) -1\/5 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -264142 (base 8) to base 10.\nAnswer: -92258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, i: 2}. Give prob of sequence gii.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.1151 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -484944, 4\/27, -0.1, 0.5 in increasing order.\nAnswer: -484944, -0.1, 4\/27, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -655907457213 - -655907458726.000001546. Let f = z + -1513. Round f to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -241605?\nAnswer: 241600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34081655?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 50 = u. Suppose -2*i + u = -287. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -5 - 3 - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtm when three letters picked without replacement from {m: 2, t: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*h - 6*h. Suppose 3*m - 6*w - 10 = -h*w, 5*m - 5*w - 15 = 0. Solve 3*c - 2*g = -20 + 4, -c - 8 = -m*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (315\/540)\/((-7)\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((27 - 27 - 4*p**3)*(-1 - 7 - 8) - p**3 + 0*p**3 - 4*p**3)*(7 + 1 + 1).\nAnswer: 531*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11*x**2 + 11*x**2 + 4*x**2. Let c(u) = 112*u + 6. Let o(v) = 150*v + 8. Let y(r) = 4*c(r) - 3*o(r). Give h(y(a)).\nAnswer: 104*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - o - 22674 = 0, -5*l - o + 24566 + 13232 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + 15*p**2 - 41*p + 250. Let u be f(7). Solve 4*c - u = 0, -6*i = -3*i - 3*c + 24 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11693153?\nAnswer: 2633, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - 7*o**2 - 203*o - 194. Give c(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 78 = 18. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-2 + -4)) + 2. Let r be 12\/(-54) - 65\/(-9). What is the highest common factor of r and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6304560 - -2?\nAnswer: -6304555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2468, 9751, 21850, 38765, 60496, 87043, 118406?\nAnswer: 154585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 51 = -b - 20, -2*n - 4 = b. Let j(x) = x + 27. Let d be j(-22). Solve -b = -2*w + d*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111221121 - 2011002211?\nAnswer: -2200001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 26. Let x(d) = -d**3 - 7*d**2 - 9*d - 8. Let g be x(-6). Let s = r - g. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 7*y**2 - 23*y**2 + 26*y**2 + 24. Let b(o) = -4*o**2. What is b(h(p))?\nAnswer: -1600*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2. Let c be q(-1). Let d be (-340)\/(-16) + c\/4. Suppose -4*s + d = -s. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1224081973318\/371 + 3299415614. Let a = g - 3287. Which is greater: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than -0.07282?\nAnswer: -0.03282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, v: 3, z: 2, y: 6, t: 2}. What is prob of picking 3 p?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (231\/(-330))\/(7\/(-12))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + u + 3*u)*(-254 + 89 - 108) to the form o + j*u and give j.\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 18*j - j + j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.018, -0.9, -1, 0.1?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 360 times -1541.5\nAnswer: -554940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454433 is divided by 179?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, y: 1, z: 6, p: 3}. Give prob of picking 1 y and 1 p.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**3 + 2*o + 10. Let k be b(0). Let x be (1 - 2)\/((-10)\/k). Let g be ((-2)\/(-4))\/((-1)\/8). What is the second biggest value in x, g, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.105 and 462.\nAnswer: -48.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1704, -4, -7.6, -0.056, -3\/7?\nAnswer: 1704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1937 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2989 and 194433596.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 397628*-4.\nAnswer: -1590512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*4\/((-8)\/(-3)). Suppose h*f - 22 = 245. Let a = 43 + f. What is the highest common divisor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) - (-2*sqrt(315) + sqrt(315) - sqrt(315)))\/sqrt(5))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from kkgggggkkkgk.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 4. Let b be o(-6). What is the greatest common factor of 80 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 803521?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6453 - 6453. Which is the third smallest value? (a) -0.7 (b) -4\/13 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.000327*-98.\nAnswer: -0.032046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3964334 and 24956.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 504336 and 172536?\nAnswer: 6556368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 2\/15*m**5 + 0*m**3 + 0*m**2 + 0*m - 1\/12*m**4 - 1\/18*m**6 + 6. Factor o(p).\nAnswer: -p**3*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + h - 7. Let m = 4 + h. Calculate the remainder when 2*((-129)\/(-6) - 1) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 13.32. Let j = -4.58 + c. Let g = j - -4. What is the third smallest value in -0.2, -2\/15, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 4, -1, 53.\nAnswer: -1, 4, 53, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*u**6 - 173*u**3 + 6*u**2 + 173*u**3 wrt u?\nAnswer: -840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + -2 - -8 - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 456547, 455928, 454897, 453454?\nAnswer: 451599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38208 by -3.\nAnswer: 12736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/16*(7 + -21 + 16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4330 divided by -4.\nAnswer: 2165\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3.708 + -1215\nAnswer: -1211.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 117*y**3 + 2*y**2 - y - 71. List the prime factors of u(7).\nAnswer: 40151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**4\/12 + 5*x**3\/3 + 5*x**2 + 4*x. Is h(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 46830426.106067.\nAnswer: 46830424.106067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.2 (b) -0.04 (c) -36 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75852 and 2196?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -142 (base 8) to base 9\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/110 and 17\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 5*i**2 + 47*i - 128. Let n be r(3). Put 27, 2, -32, n in descending order.\nAnswer: 27, 2, n, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102784553, 102784566, 102784579?\nAnswer: 102784592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-6))\/(5*4\/120). Let w = -1223\/85 + 78\/17. Let x = -48\/5 - w. What is the nearest to 0 in 0.5, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 2:25 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -12201?\nAnswer: 12223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**2 - 28*z - 5. Let m be p(-5). Let f(v) = -v**3 + 12*v**2 - 19*v - 6. Let h be f(m). Solve h*y + 4*u - 32 = 0, 4*y - 2*u - 3*u = -13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 563936, 1127853, 1691790, 2255747, 2819724, 3383721?\n\"Answer: 10*p**2 + 563887*p + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -1167.38.\nAnswer: -3502.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152.762 + 153. Let j = k + -3.238. What is the closest to 0.4 in j, -7, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*v**3 + 17*v**3 + 1 - 8*v**2 - 1 to r + w*v**3 + p*v**2 + o*v and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 62041 - 126?\nAnswer: 61814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*v + 2*v - 25, -25 = 5*o - 5*v. Let j be ((-8)\/(-10))\/(o\/(-25)). Find the second derivative of n**2 + 4*n**j + 3*n - n**2 - 3*n**2 wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12764366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v = -4. What is the remainder when (v\/2)\/((-3)\/(-144)) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18548, -41, 0 in descending order.\nAnswer: 0, -41, -18548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -174007178.82 rounded to the nearest one thousand?\nAnswer: -174007000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 15*s - 2. Let o(w) = -16*w + 2. Let y(l) = 3*o(l) + 4*q(l). Let g(r) = r**3 + r**2 - 4*r - 3. Let n be g(-1). What is the units digit of y(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13418*d**2*v**4 + 16981*d**2 + 3*d*v**4 - d*v wrt v.\nAnswer: 161016*d**2*v**2 + 36*d*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29\/2 - 207\/14. Let l = -14.62 + -0.38. Let j = -19 - l. Which is the closest to t? (a) -2 (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + l**2 + 1)*(-506*l + 588*l + 2327*l) as h + g*l**2 + c*l + t*l**3 and give t.\nAnswer: 2409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + -4 + -1 + sqrt(500) + 1*sqrt(500) + -2 + -5)**2 + -1.\nAnswer: -80*sqrt(5) + 2003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2\/9 (c) 211 (d) 29\/4 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:39 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 65, 33, 1, -31?\n\"Answer: -32*o + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/9*-1*0. Let c be 2 - i - 112\/170. Let k = c - 16\/17. Which is smaller: k or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 123967178 and -11351?\nAnswer: 123978529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 153747.5 plus 0.001?\nAnswer: 153747.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9300 divided by 22\nAnswer: 4650\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38360 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 - 66. Let j(v) = -24*v + 2 + f*v + 11*v. Determine j(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35429, -35427, -35425, -35423, -35421, -35419?\nAnswer: -35417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/(9\/72*(-64)\/352).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.6 + -6. Let f be (11\/(-110))\/((-2)\/(-45)) + 2. Which is the closest to f? (a) r (b) 1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence comm when four letters picked without replacement from igigmiogmiciioigmci?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w. Let f(x) = 2*x. Give z(f(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 23100*k - 26224032.\nAnswer: -3*(k + 1384)*(k + 6316)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 divided by 4?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (6\/4)\/(12\/(7344\/90)). Suppose 54*y**2 + 62*y**4 - g*y - 15*y**5 + 8\/5 - 437\/5*y**3 = 0. Calculate y.\nAnswer: 1\/3, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/13 + 15\/13. Let i(z) = 1658*z**3 + z**2 - 2. Is i(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 80, 100, 120, 140, 160?\n\"Answer: 20*h + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007435453614 to seven decimal places.\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4563 divided by 117\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 3. Let y(d) = -6*d**2 - 5. Let u = 24 + -27. Let c(w) = u*y(w) + 5*l(w). Let j(r) = r**2. Determine c(j(v)).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 169?\nAnswer: -33.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 598 - 53. Calculate the highest common factor of h and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*h**3 + 271*h**3 - h**2 + 2*h**2 - h**2.\nAnswer: 185*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 442129646*w**2 - 4*w + 8822084 wrt w.\nAnswer: 884259292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3003)\/(-14520) - (-34)\/(-187)\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2. Let j(f) = 3*f**2. Let x(l) = 5*j(l) - 8*s(l). Let c = 4 + -2. Let v(m) = -2*m + c*m + m. Give x(v(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from {y: 2, x: 5, c: 5, v: 3, g: 4}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 m when four letters picked without replacement from mmxxxmmmxx?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9796 - 9907. Put 1, 5, f, -10, 2 in decreasing order.\nAnswer: 5, 2, 1, -10, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-7 + r + 7) + (1 - 1 + 3*r)*(-2 - 6 + 4).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 0*q = -3*q - 5, -5*q - 20 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)*1)\/sqrt(12) + sqrt(50)\/(sqrt(20)\/sqrt(2)) + sqrt(5).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, -4, 7, 3 in decreasing order.\nAnswer: 7, 3, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**5*s*s)\/s*s**(-2\/19))**19*(s*s*s**(-8))\/(s*s**(-5))*(s**5*s*s)\/s**(1\/2) assuming s is positive.\nAnswer: s**(271\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.053594 + -0.453594. Let f = 1 + -1.1. Let r = f + 0.2. Which is the closest to r? (a) -1\/8 (b) -1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -442, -445, -448, -451?\n\"Answer: -3*i - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3108 = -5789*k + 6048*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (1 - 0 - -1). Let b = -26 + 33. Let z = g + b. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkkh when four letters picked without replacement from hkvhhmhhhkkh.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x - 46*x = -111*x + 858. Calculate the remainder when 578 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19575, -78313, -176219, -313299, -489559, -705005, -959643, -1253479?\nAnswer: -1586519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(-3*u + 5*u - 4*u)*(-64*u + 62*u - 49*u).\nAnswer: -408*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-16) - (-50)\/(-8). Let k = d - -5. Sort 2, 1, k in descending order.\nAnswer: 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 15*g**2 - 3*g + 43. What is k(15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 452*p - 448.\nAnswer: -4*(p - 112)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*r = 123*r + 28 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/49? (a) -5 (b) 4.34 (c) -3\/8 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.96852732 + -3.0314722. Let m = -0.013 - 27.987. Let c = o - m. Round c to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35\/17786 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 19*c + 5. Let m be d(19). Solve m*n - 2*a = -20, 0 = 2*n - 4*a + 2 + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191380512 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 9 + 0 + (-11 - -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Let t(o) = o**2 - 5*o + 6. Let x be t(5). Let l = 1\/27 - 31\/108. Which is the second smallest value? (a) x (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -23 (c) -0.1 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 3*h**5\/20 + 21*h**4\/16 + 3*h**3 - 3*h**2\/2 - 12*h + 41. Determine v so that b(v) = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2033)\/((6 - -2)\/(-4)). Let o = r + -979. Find the common denominator of o and 109\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 3*m**2 + 14 - 6*m**2)*(m + m - 3*m) - 29*m - 10*m**3 + 29*m.\nAnswer: -7*m**3 + 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 + 140. Suppose -w - 42 = -x. Solve n = -n - w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.1414156 hours to weeks.\nAnswer: 0.06631795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 7215?\nAnswer: 64935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 4*j + 2. Let f be l(4). Suppose 0 = f*o + o - 18. What is the third derivative of -6*w**6 + 2*w**o - 2*w**2 - 2*w**2 + w**2 wrt w?\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1429152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*b + 0 - 1 + 1 in the form k + m*b and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 203809285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/69284628 and 125\/744996?\nAnswer: 69284628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -3347?\nAnswer: 3353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -3.2 (c) -1\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 86\/30 - (-76)\/570. Factor 0 - 3\/4*r**5 - r**4 + 0*r - 1\/4*r**m + 0*r**2.\nAnswer: -r**3*(r + 1)*(3*r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Let f = 3.3 - h. Suppose -g = -5*n + 23, 4*g - 2*g - 10 = -4*n. Which is the third smallest value? (a) n (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 5*b - 2. Let k be f(4). Calculate the remainder when k - 3*22\/(-2) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {q: 2, a: 10}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2232 or 131715\/59?\nAnswer: 131715\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 39. Let t = j - -16. What is the smallest value in 0.5, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -586952080 divided by 130?\nAnswer: -4515016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 + 328*y**3 - 336*y**2 - 328*y + 332.\nAnswer: 4*(y - 1)**2*(y + 1)*(y + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 2*j**5 + 5*j**3\/3 + 10. What is the third derivative of a(f) wrt f?\nAnswer: 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4012 - -4030. What is the greatest common divisor of l and 1062?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109024454.\nAnswer: 2, 7, 11, 707951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536272347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-157*j**2 - 117*j**2 + 47*j**2)*(-2*j**2 + 5*j**2 - 4*j**2) in the form x + s*j**4 + r*j**2 + d*j + y*j**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 6:45 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19672987 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (-1 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231750 and 630?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -175637 + -2?\nAnswer: -175640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57*d*g*r**2 - 10*d*g*r - 2*d*r - 4*d + g*r**2 - 1548*g*r + 3*g + 2*r**2 wrt d?\nAnswer: -57*g*r**2 - 10*g*r - 2*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 19 = a, 4*a + 59 = 5*p + 18. Let d(f) = -3*f - 2. Give d(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 2*j + 8*j + 2*j.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*k*l - 28*k - 303*l + 9 with respect to k.\nAnswer: -56*l - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1176)*1*3 - sqrt(1176)) + sqrt(1176)*2*5)\/((-4*sqrt(96)*-1)\/(sqrt(8) - -2*2*sqrt(8))))**2.\nAnswer: 22050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 4*m + 6, g = -2*g + 2*m + 14. Let w be 5 + (2 + 0 - g). Suppose -w*c = -0*c - 30. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 > -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -159, 2, 4 in ascending order.\nAnswer: -159, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22827 - -22893. Put 3, 4, i in ascending order.\nAnswer: 3, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57614483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -3, 0, 165 in decreasing order.\nAnswer: 165, 0, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6728 = 2*m - h - 4*h, 5*h - 6708 = -2*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12177523.\nAnswer: 12177523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + ((sqrt(228)*2)\/sqrt(12))**2 - (-2*sqrt(209))\/sqrt(11).\nAnswer: 3*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t**2 + t + 11. Let o be f(8). Suppose 5*i = g - 284, 5*g - 3*i = o + 887. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4750 - 3046. Let y = 175514\/103 - h. Which is the smallest value? (a) 0.2 (b) y (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/65 - (-544)\/(-1768). Sort -3, -2, f, 2\/25, -2\/19.\nAnswer: -3, -2, -2\/19, f, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-6)\/15 - 35\/(-25). Let n be z\/(-2 + 3)*1. What is the tens digit of n\/(4\/344*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 4*s**2 + s - 1. Let x be 2\/(-6) + 8\/6. Let w(u) = 4*u - 1. Let l be w(x). What is the tens digit of i(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/16)\/((-85)\/(-136)) + (-2)\/10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*c)*(-2*c - c + c + (0 - 6 + 5)*(-368*c - 301*c + 291*c) + (-c + 2 - 2)*(2 + 1 - 4) - 5*c + 2*c + 5*c)*(4*c - 3*c - 3*c).\nAnswer: 1516*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.5, 4, -1\/59?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0 (c) 0.3 (d) 5 (e) 2\/15 (f) 2138 (g) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 13. Let b = -0.08 + 5.08. Sort b, g, -1 in ascending order.\nAnswer: -1, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - ((0 - 2) + 3)\/1. Let y(g) = g + 4. Let p be y(-4). Sort 5, p, 3, a.\nAnswer: a, p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*c + 79*c = -105*c - 242 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*sqrt(1216).\nAnswer: -4 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 39598\nAnswer: -1\/39598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 5902780.\nAnswer: 1770834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 12:13 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4 + 49131*z**3 - 491610*z**2 = 0.\nAnswer: -16387, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*j*k**5 - 2*j*k**4 - j*k**3 - 3*j - 4*k**2 wrt k?\nAnswer: -4920*j*k**2 - 48*j*k - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15426532 (base 7) to base 9.\nAnswer: 2714541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1941*v**4 - 4176*v**4 + 2075*v**4 + (-v**2 - 4*v**3 + v**2)*(v - 3*v + v).\nAnswer: -156*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426324419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 3*k)*(1 + 0 + 1 - 6 + 1 + 3 + (-1 + 0 - 1)*(2 + 2 - 5) + (-1 + 2 + 1)*(-2 + 0 + 4)) to n + l*k and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (0 - (-9 + 12)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3185 and 559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1535 + 1668.86. Let u = y - 136. What is u rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92460 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129976399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-2 - -3 - (7 + 0 + -10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 12) + 123 + -116.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 344351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55307, 110264, 165223, 220184, 275147, 330112, 385079?\n\"Answer: x**2 + 54954*x + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*q - 12*q - 774 = 5*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*w + 5*w - 3424 = 72*w for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -844.\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.027 rounded to 0 decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 9:12 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3756*q**3 - 15*q**2 + q + 15*q + 31 + 3757*q**3. What is the units digit of w(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52656096 divided by 1\nAnswer: 52656096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 21*d - 1022. Calculate s(49).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 169904369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 - 2*c**2 + 0*c**2 + 3*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*o - 117*o + 66*o + 8*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -1\/7 (c) 3.5 (d) -0.1 (e) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21278 by -2.\nAnswer: -10639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 208409770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 197783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - 9) + (-21 - -9) - 13?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(1900) + 1)*4)**2.\nAnswer: 320*sqrt(19) + 30412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/3 + 1240111*p**3\/3 + 3720367*p**2 - 26042531*p\/3 + 13641320\/3 = 0. Calculate p.\nAnswer: -11, 1, 1240120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -145 + -1?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 868464?\nAnswer: -260539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 8*q - 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 6*u - 4. Let y(l) = -l**3 - 3*l**2 + 3*l + 1. Give y(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a factor of 1902365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 49*u**2 - 24*u. Let p(g) = 49*g**2 - 30*g - 4. Let v(f) = -f - 1. Let n(i) = p(i) - 5*v(i). Let d(r) = -4*n(r) + 3*o(r). Solve d(a) = 0.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*b**3*c*r - 2*b**3*r**3 + 8041*b**3*r + 6*b**2*c*r**3 - 81*b**2*c*r**2 - 3*b**2*r - 32*b**2 - 23*b*c*r**3 + 2*b*r**2 wrt b?\nAnswer: 264*c*r - 12*r**3 + 48246*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 55*d + 157. Let z be k(52). Sort -2, z, 0, 6.\nAnswer: -2, 0, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.04 + 0.04. Let f = 14.8 + -15. Which is the smallest value? (a) f (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 88\/447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 60\/35*42\/(-12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8649 rounded to two dps?\nAnswer: -4.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-4))\/1 - 5745\/(-1532). Put 75, u, -5, -1 in decreasing order.\nAnswer: 75, u, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, l: 10, m: 1}. What is prob of picking 1 m and 3 l?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -65408939?\nAnswer: 65408932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 2104 = -16*y. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 805*f**2*r**2 - 15391*f**2*r + 59*f*r**2 - 2*f*r + f + 60*r**2 - 529 wrt r?\nAnswer: 1610*f**2 + 118*f + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + (-104)\/(-18) + 32\/90. Let z(j) be the first derivative of -4\/5*j + x*j**3 - 1 - 1\/5*j**2. Let z(i) = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 3*z + 35, 25*z + 305*q - 302*q = 27*z + 35 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + m + 7, 4*t + m = -t + 13. List the prime factors of (2 + 7\/t)*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*s - 84*s - 104*s - 131*s.\nAnswer: 43*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*c + w - 5, -2*w = -4*c - 18. Put 0.2, c, 18 in descending order.\nAnswer: 18, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - i**2 + 1 - 3*i**2 + 5*i**2. Let q(s) = -5*s**2 - 3*s - 5. Let t = 3 + -4. Let u be (-2 + 1)\/(2 + t). Calculate u*q(x) - 4*w(x).\nAnswer: x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6252809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 16371, 0.3, 1.03?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 259 + 299 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 + 0.13. Let i = 1.05 - x. Let n = 50 + -252\/5. Which is the closest to i? (a) 0.1 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - -17. Suppose -3*c - 4*y + k = c, -4*c = 2*y - 100. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*97638414.\nAnswer: -29291524.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxxxxsilsiixxts. Give prob of sequence lsx.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358, 746, 1158, 1588, 2030, 2478, 2926, 3368?\nAnswer: 3798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -69. Let j be 18\/30*(b - -1). Is 11 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6542 - 1 - (-913)\/83?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 57, 86?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-236)\/5015)\/(6\/15)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 divided by 25?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2 - 15. Let q(u) = -5*u**2 - 14. Let s(a) = -6*d(a) + 5*q(a). Calculate the lowest common multiple of (-4)\/(-6)*24\/1 and s(0).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s - 240. Determine q(25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 244889 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39.102 and 69.23.\nAnswer: 2707.03146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vviiiiq. Give prob of sequence vivi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2 + 80*p - 1551 = 0.\nAnswer: 33, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 3*n. Let l be j(3). Let g(z) = -z**3 - 9*z**2 - 2*z - 2. List the prime factors of g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {b: 1, x: 4, c: 4, j: 2, a: 2, g: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.259 and 0.4.\nAnswer: 0.1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1))**(-3)*(q**(-3)\/q)\/(q*q**(-8)*q*q) assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v**3 - 4*v**3 + 0*v**3)*(6*v + 3*v - 3*v + (3*v - 3*v - v)*(1 - 3 + 1)) to the form c*v**4 + i + b*v + f*v**3 + h*v**2 and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.3 times 28?\nAnswer: -372.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -57\/1937 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/(-100)*5\/40*-28\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73572.8097 to the nearest 10.\nAnswer: -73570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, u: 9}. What is prob of sequence uuu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Suppose 2*k = -6, k + 2 = 5*c + h. Let z(o) = -18*o**3 - o**2 + 1. List the prime factors of z(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + n - 2. Let y be r(-3). Let s(t) = 19*t + y*t - 23*t + 1. Let o(k) = -4*k. Let x = 7 + -12. Calculate x*o(p) - 2*s(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/54 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148006290 divided by -6.\nAnswer: 24667715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u**2 + 27*u**2 - 55*u**2)*(0*u**3 + u**3 + 0*u**3).\nAnswer: -17*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, -2, -2095, 2\/9, 2\/5?\nAnswer: -2095","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41.72 - -41.22. Which is the smallest value? (a) f (b) -1\/6 (c) -35.4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4758944 not equal to 4758968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:11 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 338 - 66. What is the lowest common multiple of s and 112?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m**2 + 1166*m - 260 = 0 for m.\nAnswer: -65, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*g - 12*g - 35*g in the form n + p*g and give p.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26348 by 7.\nAnswer: -3764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(4) - -2*sqrt(4)))\/sqrt(3) + -1*sqrt(3388).\nAnswer: -65*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40*18\/(-162)*9.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25760*h**4 + 2138*h**3 + 18192884*h wrt h.\nAnswer: 309120*h**2 + 12828*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008185 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 + 2*k + 2 - 2 to g*k**2 + x*k + s and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78908*s**3 + 52946*s**2 wrt s?\nAnswer: -473448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i + 1. Let n(s) = -3*s + 0 + 2*s + 8 - 4. Let l be n(3). Suppose -f + 2*f + l = 0. What is m(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 410 by -82.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - x + 7 + 13 = 0, 4*r = -5*x + 4. Let n(y) = y - 1. Calculate n(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108800, -217735, -326670, -435605?\nAnswer: -544540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 2*o - 3. Let p be t(-2). List the prime factors of (p*2)\/(10\/2270 + 0).\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 7:34 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/1418 and 7\/109391.\nAnswer: 155116438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/30)\/(25\/5325).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 162 = 2*m, g - m - 4*m = 71. Calculate the highest common factor of g and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -20921 and -20919 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 9*n + 23 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -30, 2960 in decreasing order.\nAnswer: 2960, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 12 = -0*v - 4*v, -3*v + 1 = z. Solve z*j - j = -9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 19 = -5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5 + sqrt(98)*-1 - (sqrt(98) - (-1*sqrt(98) + -4))) + -2)**2 + 1.\nAnswer: 924*sqrt(2) + 2007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -128.4 * 393.52\nAnswer: -50527.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 430303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.53983 nanograms to micrograms.\nAnswer: 0.03053983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/(j\/(j*j\/j**(-8)*j))*j**8\/((j*j**(2\/17)\/j)\/j))\/((j*j**(2\/5))\/j**(-7))**(-42) assuming j is positive.\nAnswer: j**(31678\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.549028 to three dps.\nAnswer: 1.549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 840679*l**3 + l**2 - 124*l + 41 wrt l.\nAnswer: 5044074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95524833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-69)\/(-4)*(11 + 107 + 2).\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2 and 49\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21221000 + -1?\nAnswer: -21221001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -8250959?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18627621 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiigigigiiii. What is prob of sequence iggi?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 403 minutes before 12:21 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -130 + (12 + (-25)\/2)\/(((-150)\/84)\/25)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + p**3 + 27 - 28 + 2*p**4 + (1 - p**2 - 1)*(-2*p**2 + 0*p**2 + 0*p**2).\nAnswer: 3*p**4 + p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/118170 and 43\/42.\nAnswer: 827190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6*p**2*p*p assuming p is positive.\nAnswer: p**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 101526 and 318.\nAnswer: 5380878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 15*l - 117. Let n be z(-19). Is n >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**4 + 3*p**4 - p**4 + (-105*p + 105*p + 51*p**3)*(-7*p + 4*p - 2*p) in the form n*p**2 + s*p + t + o*p**3 + m*p**4 and give m.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-14) - 6\/(-21). Solve b + q + 4 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/12 + (-87)\/(-3). Solve 19*i + 11 = -z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49475.\nAnswer: 5, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/2 (b) 3 (c) -3 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/32*(11 + -19). Calculate the greatest common divisor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 1. Suppose 0 = 4*c - c - 18. Let j(d) = d - 3 - c*d + 2*d. Let l be ((-4)\/(-6))\/(143\/858). What is l*j(n) + 11*p(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmlddnmdldnndddd. Give prob of picking 1 l, 1 n, and 1 m.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219 - 209. What are the prime factors of (-115)\/(-46)*7504\/x?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmpp when four letters picked without replacement from pppmppapaomappa?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 1*(-42)\/46. Is -1 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1762 is divided by 126?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10302153 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 39*j**2 - j - 4. Let w be u(2). What is w rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000647857 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**3\/3 + 15*d**2\/2 + 17*d - 20. Let k be j(-14). Suppose -k*x = 4*x - 294. What is the remainder when 167 is divided by x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140 + (-95 - 8) + (-774)\/21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 18*p**2 - 32*p + 34. Let g(s) = -s + 1. Let o(j) = b(j) + 2*g(j). Let r be o(16). Factor 5\/3*c**2 + 4\/3 - r*c.\nAnswer: (c - 2)*(5*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frf when three letters picked without replacement from mfmmmrfmmffmmffmmf?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/18*(-6)\/40. Let f = -2.454 + 2.454. Which is the third biggest value? (a) 3 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101 + -2 - 8 - 2) + 4 + 4 + -17.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33601 and 383.\nAnswer: 12869183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64.3 or 1667?\nAnswer: -64.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 547 and 176439773.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.3 - 4.29999951. Round o to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01951350466 rounded to 7 dps?\nAnswer: 0.0195135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o*p + 2977*o - 15188*p wrt o?\nAnswer: 2*p + 2977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(sqrt(12) + 2 + sqrt(12))**2 + sqrt(21)\/(sqrt(7)*2*3) + 5.\nAnswer: 289*sqrt(3)\/6 + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -32\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1450*x = -1869*x - 8380 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.402192 nanometers in centimeters?\nAnswer: 0.0000000402192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o - 12*o - 11 = -2*f, 24*o = f + 21 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 28*j. Is w(1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*u + 5*u. Suppose l - 3*m = 6*l - 1319, -l - u*m + 257 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 6:12 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**3 - 89*x**3 + x**3 + 66*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 5*q**2 + q + 9. Let s be z(5). Solve 4*t - 2 = -s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.04793 kilometers in centimeters?\nAnswer: 604793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 3*g**3 + g**3 + (6 - 6 - 3*g)*(3*g**2 - g**2 + g**2))*(1 + 1 - 4 + 1 - 4 + 1 + (0 - 1 + 2)*(-3 + 4 - 2) + 1 - 2 - 1 + 26 - 26 + 46).\nAnswer: -312*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1372 and -31\/150773.\nAnswer: 4221644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -10 (c) 1\/5 (d) -4 (e) 144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.5 (b) 7\/11 (c) -1 (d) 1\/7 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56 and -243?\nAnswer: -13608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 4*g**2. Let l be s(-4). Let y be 427 + (l\/3 - -3). What is y rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 151*v**2 + 29*v - 34. What is the remainder when i(4) is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43250 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 1699298282.\nAnswer: 1699298282.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -417261 and 0.04?\nAnswer: -16690.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 27*k**6 - 18*k**6 - 31 - 11*k**6 - 27*k + k**3. What is the third derivative of c(b) wrt b?\nAnswer: -720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 33*z**2 + 17*z - 35. Is l(-32) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514916129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooojopoop. What is prob of picking 2 o and 1 j?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 18*g - 18. Let i be s(-18). Is 12 a factor of 3\/9 - 2982\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 - 2*f**4 - 2585 + f**4 + f**2 + 2601 + 0*f**4 to the form x*f**3 + z + v*f**2 + i*f + u*f**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 4. Let j be (-10)\/8 - 1\/t. Let p be -1 + j + -1 + 0. Is p at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(206\/(-2163))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18670 is divided by 18663?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-38)\/12 + 5\/30. Let c = -1 - m. Find j, given that 0 - 2\/7*j**4 + 2\/7*j**c + 0*j + 0*j**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/399 + -5183\/798. Which is the third smallest value? (a) v (b) -2\/19 (c) -2\/9 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 72760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10}. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**3 - 3*j**3 + 1409*j - 1409*j.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*b - 800254 = -800716 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 90 + 25. Let y = -14 - u. Solve 18 = -4*d + 2*m, -6*m + y = -3*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2 (c) -2\/3 (d) -2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from alafvxfccclvvv.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*m + 16, -10 = -5*m - 6*k + k. Suppose -3*i + 103 = -5*c, 0*c - m*c = 15. Is 24 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((33\/6)\/(-11))\/2)\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 h, and 1 j when three letters picked without replacement from {k: 1, h: 1, e: 2, g: 1, c: 2, j: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.04, 30, -10, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15480 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -440*l**3 - 1 + l + 848*l**3 - 427*l**3 - 3*l + l**2 to f*l**3 + t + n*l + z*l**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-25))\/(2 - ((-1)\/(-8) - 23335\/(-520))).\nAnswer: -1\/215","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 7575*f + 342859. Calculate q(45).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 594*n**2 + 72. Let a(s) = -8*s**2 - 1. Let r(l) = -72*a(l) - t(l). Let i(o) be the second derivative of o**4\/3 - o. What is r(i(z))?\nAnswer: -288*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 22 + (-2 - 5) + -15.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101232 (base 4) to base 9.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - -2 - -1 - (3 + -7). Solve -2*m + 6 = d*z, -2*z - 3*m = 2 + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12682727 to the power of 1\/2, to the nearest integer?\nAnswer: 3561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*d - 6 = 0, -4 = 5*q + 4*d - 13. Suppose 0*y + q*y = 450. Suppose -241 = -20*x + 219. What is the remainder when y is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*m = 140, 3*h = -3*m + 7 + 68. Suppose -5*c + 3*c = -h. Suppose -2*u - 3*u = -c. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 627\/2 (b) 3\/109 (c) -4 (d) 0.5 (e) -4\/7 (f) 1 (g) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658493 is divided by 337?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28881, 115506, 259879, 462000?\n\"Answer: 28874*n**2 + 3*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 738 and 81?\nAnswer: 6642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a. Let n(y) = -42 + 87 - 5*y - 46 - 5*y. Give 2*n(h) + 7*r(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144823 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2529 and 143310?\nAnswer: 429930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -430 + 433. Find r such that 0 + 0*r**2 + 0*r - 2\/3*r**4 - 4\/3*r**v = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6034351.5 - 6034433.4999866. Let d = f + 82. Round d to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -27*u**2 + 27*u + 285. Let p(j) = -13*j**2 + 13*j + 123. Calculate -3*n(m) + 7*p(m).\nAnswer: -10*m**2 + 10*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2048\/(-16)*(36 - 39)\/((-6)\/(-4)). What is the greatest common divisor of 544 and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-621*r**2 + 239*r**2 - 949*r**2 - 1776*r**2 + 0*r - r)*(-r + 3*r + r).\nAnswer: -9321*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*l - 36*l - 23. What is the remainder when 89 + 1\/(0 - -1) is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1602\/45 - (-3)\/(-5). Calculate the greatest common factor of 28 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 4*p. Let k be b(5). Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11211021221 (base 3) to base 16.\nAnswer: -17308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 4*x - 1. Let v be b(-3). Suppose 3*n = -v*n - 25. Is n smaller than -9\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 2 - 2\/(-2). Suppose -12 = -f*a - 4. Let 4 - 6*u**2 + 14*u**2 + a*u - 9*u**2 - 5*u = 0. What is u?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 276602 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g**29\/g*g**6)**42)**1 assuming g is positive.\nAnswer: g**1554","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 158787.\nAnswer: 158787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.582845ml to litres.\nAnswer: 0.008582845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/((40\/44)\/1) and -23\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1\/3, 4, 2, -4, 166 in descending order.\nAnswer: 166, 4, 2, 1\/2, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + 0 + sqrt(128) + sqrt(128) + -1 + sqrt(128) + -2 + -1*sqrt(128) + sqrt(128) + 5*(sqrt(128) - 1*sqrt(128)) + -2)**2.\nAnswer: -144*sqrt(2) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -13*f**3 - 53*f**2 + 6*f + 4. Let h be m(-8). Solve -3214 = 3*w - h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 667, 747, 837, 943, 1071, 1227, 1417, 1647?\nAnswer: 1923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b7 - -5?\nAnswer: 5bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8117491611 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-17))*m**(4\/13))\/(m**(-3\/4))**(-1\/58))**(-3\/4) assuming m is positive.\nAnswer: m**(151149\/12064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11 + -14 - -2)*(-10 + 2). Solve -37*f + w = -35*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-25 - -3 - -7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 817451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**0*((i**(-3)\/i)\/i)\/i)\/(i**(2\/9))**(-25) assuming i is positive.\nAnswer: i**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 43, -46, -4, -5, 1 in descending order.\nAnswer: 43, 9, 1, 0, -4, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (12\/18)\/(5\/600) and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 216562380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4 + 2 - 2 - 2 + 1 - 3 + 4 + (0 - 3 + 4)*(1 + 0 + 1))*(0*v - 2*v - 3*v).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 26, 45, 47, -5, 7, -2 in decreasing order.\nAnswer: 47, 45, 26, 7, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10*y**2. Let b(n) = 58*n**2. Calculate q(b(d)).\nAnswer: 33640*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 147877796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = c + 51. Let x(q) = -2*q**2 - 11*q - 6. Calculate the smallest common multiple of x(c) and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 5)*(-2 + 3*d + 4 - 2*d) - 369*d - 374*d + 313*d)*((3 + 2 - 3)*(-1 + 0 + 3) - 1 + 1 - 1).\nAnswer: -1296*d - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**24*a**15*a assuming a is positive.\nAnswer: a**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) 1\/4 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -6\/17, 5, -0.2 in descending order.\nAnswer: 5, -0.2, -6\/17, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9423991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4, 65028, 3, 1 in ascending order.\nAnswer: -14, 1, 3, 4, 65028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(56) + sqrt(224)\/sqrt(4))*-6)\/((sqrt(1152) - (sqrt(1152) - 3*sqrt(1152)))*-2).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4699 is divided by 2321.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2. Let m(o) = 391*o**2 - 20*o + 13. Let k(c) = 392*c**2 - 25*c + 15. Let x(y) = -4*k(y) + 5*m(y). Determine x(l(w)).\nAnswer: 1548*w**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -6 - (-13 + 17).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wawhuwqhhhqhwqawihu. What is prob of picking 3 q and 1 i?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 437 + -465. Let r be 15\/(-6)*(-159)\/(-15). Is w greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6115373 (base 8) to base 16\nAnswer: 189afb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1631*l - 219 + 658 - 220 - 219 + 0*l - l + 3*l + (0*l + 3*l - 5*l)*(-1 + 5 - 2) - l - 3*l + 5*l.\nAnswer: -1632*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13, -21, -43, -85, -153?\n\"Answer: -c**3 - c**2 + 2*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2 + 2 + 1 - 2 + (-1 + 0 + 0)*(3 + 0 - 2) - 2 + 5 - 1 + 6 - 3 - 2 + 0 + 0 - 1 + (0 - 3 + 2)*(1 + 2 - 1) + 3 + 1 - 3)*(3 - 20 - 23*r + 21*r).\nAnswer: -4*r - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5972 - 5971.7. Let i = -1 - -1.1. Sort a, 2, 0.4, i in descending order.\nAnswer: 2, 0.4, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153846587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 12*w**3 - 4*w**2 - 4*w + 27. Let a(c) = -11*c**3 + 6*c**2 + 6*c - 28. Give -2*a(t) - 3*b(t).\nAnswer: -14*t**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(2\/81)*c\/(c*c**(-3\/2)*c) assuming c is positive.\nAnswer: c**(247\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(11) - (sqrt(11) + sqrt(1584)*-3)) + -5)**2.\nAnswer: -5*sqrt(13)\/18 + 32413\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4158510 and 4158510?\nAnswer: 4158510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3675123 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62639311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 9996 and 0.047 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z**2 + 454*z + 50. What is g(57)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213578.\nAnswer: 2, 23, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) - sqrt(156)*-2*-3))\/sqrt(12))**2 - sqrt(143)\/(2*sqrt(176) + sqrt(11)).\nAnswer: -sqrt(13)\/9 + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -124*k**2. Let v(a) be the third derivative of -47*a**4\/24 + 121*a**2 + 26*a. Give v(m(j)).\nAnswer: 5828*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-58)\/(-10))\/((-8)\/(-40)). Let f be y*(-2 - (-2 - 1)). Suppose -4*b + f = -7. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9 - -1.77. Let m = i - -0.25. Let p = -0.2 - m. Round p to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 255 + 231 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136905*z**3 - 62*z + 62*z + 145578*z**3.\nAnswer: 8673*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*w - 486*w + 1464*w - 504*w - 3.\nAnswer: -31*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3004717 (base 9) in base 10?\nAnswer: -1597822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 59535, 119340, 179419, 239772, 300399?\n\"Answer: 137*x**2 + 59394*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3))\/((-6)\/9). Let a(m) = -2*m**2 - 2*m - 1. Let z be a(f). What is the units digit of 3\/((-3)\/(z - 8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 - 8 = 0. Let p be 5\/t*6*20\/(-465). Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 78, 313, 704, 1251, 1954, 2813?\n\"Answer: 78*i**2 + i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-24))\/(((-45)\/6)\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -2. Let j = n + 3.05. Suppose -5*v = -3*o - 2*v - 3, o - 8 = -2*v. Sort j, o, -1\/4.\nAnswer: -1\/4, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21506*b**5 - 1399*b + 2?\nAnswer: 430120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6294*v + 5740129. Determine w(-912).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2180 - 2102 - 4*q**3 + 85*q**3 - 5*q**2 + 5*q**2 with respect to q.\nAnswer: 243*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/21 - 92*i**3\/21 - 130*i**2\/7 - 496*i\/21 - 200\/21 = 0. What is i?\nAnswer: -2, -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253*-76.\nAnswer: 19228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**5\/360 + 31*c**4\/144 + 29*c**3\/18 - 392*c**2. Factor l(o).\nAnswer: (o + 2)*(o + 29)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4704807*g**3 - 2352404*g**3 - 2352402*g**3 - 3*g + 3*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1359537 is divided by 323?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-12) + (-1)\/4. Let h = 1\/14 - 4\/7. Which is the smallest value? (a) -0.3 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/2257 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 - 12*r - 31. Determine x(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57854036 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: What is the tens digit of 7165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002221220 (base 3) in base 7?\nAnswer: -232026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 1, 4, -10, -1817 in decreasing order.\nAnswer: 4, 1, -10, -17, -1817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = 64*h + 49*h - 1176714. Round h to the nearest one hundred.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38056, -38199, -38342?\nAnswer: -38485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 - (4 + -8 + 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -304 in 1, -0.2, -0.1, 59?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 - 3*l - 3. Suppose 0 = -4*h - h + 15. Let z be t(h). Suppose 27 = 3*o - z. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -12*n**2 + 2018*n - 14. Let k(c) = -16*c**2 + 2691*c - 18. Determine 7*k(j) - 9*y(j).\nAnswer: -4*j**2 + 675*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 317 - 314. Let -91 + 5*c**4 + 5*c**v + 91 - 15*c**3 = 0. Calculate c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 486?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487 greater than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 62 - 80 = -t, 0 = -3*a + 3*t + 36. What is d in 0 - 16\/7*d**4 - 11\/7*d**3 - d**a - 2\/7*d**2 + 0*d = 0?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -31. What is the smallest value in 1, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -67, -87, -101, -109?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -788 + 1503. Let q = -423 + b. Let w = q + -192. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 9. Let x be h(-9). Suppose -8*c + 266 + 142 = x. Which is greater: 155\/3 or c?\nAnswer: 155\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28957079\/94269 + -358\/4489. Let l(k) = 155*k + 3. Let m be l(-2). Let g = j + m. Which is the nearest to -0.1? (a) g (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-60) + -2 + (22 - 897\/46).\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6084570.\nAnswer: 2, 3, 5, 127, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56, 54, 52?\n\"Answer: -2*b + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -558*h + 415. Is g(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**5 - 149277*r**4 + r**2 + 184275*r wrt r?\nAnswer: 120*r**2 - 3582648*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -262 + 266. Solve -12 = 2*r - y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3*s - 44, -10 = -2*a - 0*a + 5*s. Let r be (2 + -1)\/(2\/a). Factor 1\/2*w**r - w**2 - 1\/2*w + w**4 + 0*w**3 + 0.\nAnswer: w*(w - 1)*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -149, -114, -65, -2?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29193*y**3 + 42567*y**2?\nAnswer: 175158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95383.0208 + 95319. Let t = f - -64. Round t to three dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 x, and 1 o when four letters picked without replacement from {b: 1, v: 2, o: 6, k: 2, x: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -111 + 6?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 2*q**2 + 2*q**3 + 21*q.\nAnswer: 2*q**3 + 21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) - (sqrt(405)*1)**2)*2 - (-1*1*sqrt(405) - sqrt(405))) + 3)*6.\nAnswer: -4842 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 9*f - 67. Let x(k) = k**2 - 3*k + 14. Let c be x(0). Let t be y(c). Solve t*z + 5 = -10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2062, 2131, 2242, 2419, 2686?\nAnswer: 3067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01711 - 0.301538944?\nAnswer: -0.318648944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/14692 and -69\/28.\nAnswer: 102844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 468 or 546?\nAnswer: 468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20154, 20246, 20400, 20616?\n\"Answer: 31*v**2 - v + 20124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6600 * 155.5.\nAnswer: 1026300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165173 is divided by 366.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9357503 to 2 dps.\nAnswer: 1.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*m + 27 - 122, m = -5. Let l = o + 14. Let u = -28 + l. What is the smallest common multiple of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {k: 2, e: 6, x: 3, j: 1, g: 7}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -6. Suppose 6*r - o = 5*r. Solve -3*j + q + r = -0*q, -10 = -2*j + 2*q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s - 308 = -5*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 11*k**2 - 6*k - 38. Let f be i(10). Solve f*g - 7*g = 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -0.2. Let h = 172.4 - 172.9. What is the second smallest value in h, -0.1, z, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10239\/2030 + 150\/29. Calculate the common denominator of c and 51\/220.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*z - 168 = 97 + 1625 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.64 - 197.64. Let u = -1199 + 1393.41. Let v = t + u. What is v rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one halves of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*w**3 + 24*w**2 - 22*w**3 - 24*w**2 - 5*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 20*t**2 + 11*t + 3. Let z(d) = 46*d**2 + 23*d + 5. Determine 5*l(f) - 2*z(f).\nAnswer: 8*f**2 + 9*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**2 + 3244104*h + 3244102*h - 3*h**2 - 6488206*h.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1586*f**3 - 102 wrt f?\nAnswer: -4758*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 626171, 626181, 626205, 626249, 626319, 626421, 626561?\n\"Answer: l**3 + l**2 + 626169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Suppose 43 = -b*w + 616. Is w 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 12:56 PM and 4:01 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h + 10. Let s be z(-7). Let v be (-90)\/(-4)*(-192)\/160. Let l = s + v. Solve 2*f - 4 = l*g, -3*g + f + 11 = -4*f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.62 + -1.93. Suppose -3*w = w - w. Which is the closest to w? (a) -1\/4 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 833910823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*o + 6. Suppose 0 = -o*k + k. Let v be 0 + -1 - (1 - k). Do v and -1\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/(-36))\/(2\/48). Let y = -3 - s. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a. Let d(p) = -25*p + 6*p - 162*p. Calculate f(d(h)).\nAnswer: -724*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 59. Let u(t) be the second derivative of t**5\/20 + t**4\/2 - t**3\/6 - 3*t**2 + 2*t. Let i be u(-6). Is z(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*n**4 - 10844*n**3 - 333605*n wrt n?\nAnswer: -1044*n**2 - 65064*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 11. Calculate the lowest common multiple of b(5) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (90 - (53 - -37) - (-2 + (25 - -2)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -21*j**3 - 2*j**2 + 1. Suppose 0*c = 4*c + 5*b + 24, -4*b - 21 = 5*c. Let a be t(c). Solve 3*m + a = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 307, 1242, 2801, 4984, 7791, 11222?\nAnswer: 15277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 5*j - 10. Let i be m(-8). Let q = -16 + i. Let d(b) = b. What is d(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 354 by -611132.\nAnswer: -177\/305566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4323*h + 33 + 91 - 123)*(1 - 5*h - 1).\nAnswer: -21615*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.94519 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -5\/12*v**4 + 0*v**2 - 1\/30*v**6 + 3 + 1\/3*v**3 + 1\/5*v**5 - v. Let c(k) be the first derivative of t(k). Factor c(z).\nAnswer: -z*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + 5*x - 2. Let l be u(-9). Suppose 1080 = 5*v + 5*s, v + s - l = 4*s. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from oooototooemooo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/4 less than or equal to 30\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2775 divided by -925.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(270\/60))\/((-3)\/((-54)\/(-4)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4061078 not equal to -4061077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*c**3*v + 4*c**2*v**3 - 5*c**2*v**2 + c*v**3 + 11*c*v - 17*v wrt c.\nAnswer: -78*c*v + 8*v**3 - 10*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -12*a**2 - 3*a + 2. Let c(m) = -13*m**2 - 4*m + 3. Determine -3*c(i) + 4*s(i).\nAnswer: -9*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1861 = 2*i, 18*w - 17*w + 4*i = 625. What is the remainder when w is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1310335087 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h + 17037. Is h\/6*(-4)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(3) + 1 - ((sqrt(19) - (-1 + sqrt(304))**2) + sqrt(19)) - (-6*sqrt(209)*-1)\/sqrt(11).\nAnswer: -15*sqrt(19) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 3 + 2*y - 3. Let k be q(-1). Let t(z) = 3*z**2 + 1. List the prime factors of t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 888 and 6?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8499266 to 3 decimal places.\nAnswer: 1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1022, -1057, -1158, -1361, -1702?\nAnswer: -2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 21 = 9. Let r(o) be the second derivative of 0 + 0*o**4 + 1\/30*o**5 - o + 1\/63*o**7 + 0*o**3 + 0*o**y - 2\/45*o**6. Factor r(p).\nAnswer: 2*p**3*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cd2 (base 16) to base 10.\nAnswer: 7378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 32*u - 37. Suppose 3*r - 6*r = 3. Let t(x) = -x + 1. Let a(b) = r*i(b) - 3*t(b). What is the first derivative of a(p) wrt p?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1366, 4500, 9284, 15718, 23802, 33536, 44920?\n\"Answer: 825*d**2 + 659*d - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1539986231.99999735 + 1539986157. Let v = 71 + -146. Let b = v - w. What is b rounded to seven decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1. Let t = 45 + -43. Suppose -5*s + 5*q = 25, 2*q = -t*s - 0*s - 6. Let l(m) = m**2 + 6. What is s*o(c) - l(c)?\nAnswer: -c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t - 98*t + 1104 = 0 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:36 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 1, z: 1, o: 2, n: 1, f: 1}. What is prob of picking 1 f and 1 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 81\/18 + 2\/(-4). Let q be (-10)\/h*(10 + -12). Solve q*j = -2 + 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*r = -16, -3*z - z - 5*r + 33 = 0. Suppose z*g + 22 = 4*g - 5*p, 0 = -4*g + 2*p + 12. Are g and 5\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - 3) - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1015157 by 32747.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69904 and 80457448?\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 835 - 749. Calculate the remainder when z is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*sqrt(252)*2*-6)**2 + (6*sqrt(168)\/sqrt(6) + sqrt(28))\/(sqrt(8)\/sqrt(2)*5 + sqrt(4)).\nAnswer: 7*sqrt(7)\/6 + 32659200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - 8)\/((-2)\/124)?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-10))\/((-36)\/(-4680)*52). Solve 68 = -5*n - 2*w + 49, 5*n - u*w = -7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5966315 is divided by 52.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -120 from 18111369106.\nAnswer: 18111369226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1838934 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxqi when four letters picked without replacement from ixirxxirqjrxxm.\nAnswer: 15\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 14*z - 11. Let q be m(15). Suppose -14*h = -16*h + 4. Solve q*y = h*o - 0*y, -4*o + 4*y = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*g = -130*g - 5670. Let s = g + 6587. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -970794.8 and -2.\nAnswer: 1941589.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h - 16 = 0. Let i = h + 6. Let n = 3 - 3. Solve n = -j - j + i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*l**2 - 2*l + 0*l + 2*l.\nAnswer: 353*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*n + 1310 = 1327, n = 4*z - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l**(-1)*l*l*l))\/l))**18*(l**(2\/7))**(-6\/23)*((l**(-1\/3))**(-20\/9))**(-21) assuming l is positive.\nAnswer: l**(55598\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.496 times 6.4?\nAnswer: 3.1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 - -103.47. Let r = 0.07 - l. Is r at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2522691 is divided by 315316?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28570 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2648*d - 22180. What is x(8)?\nAnswer: -996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p + 7*p - 4145 - 5*p**2 + 4148.\nAnswer: -5*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z**2 - 2*z + 2. Let t be r(-4). Is 10 a factor of t\/(-8) + 6\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, z: 1, u: 4, v: 3, y: 2}. Give prob of sequence yee.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -438 - -713. Let m = i + -261. Suppose v = 5*q - 40, v - 49 + 9 = -5*q. What is the remainder when m is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13422 + -2?\nAnswer: 13420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -10. Find the common denominator of 2\/(-4)*d - -48 and 9\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 150804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o\/(o**5\/o))\/o)\/o*o*o**(-11))\/((o**(1\/16)\/o)\/((o*o**(-10))\/o)) assuming o is positive.\nAnswer: o**(-369\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2\/25 of a centimeter?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obtr when four letters picked without replacement from {o: 2, w: 5, t: 1, r: 4, g: 5, b: 3}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2 + o + 2. Let i be n(2). Let l(g) = 3 - 5 - 265*g + 1. Let p be l(-1). What is the greatest common factor of p and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17 + 1.93. Let l = -1.8 + m. Which is the third smallest value? (a) -2\/7 (b) -1\/5 (c) 0.5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 111\/2. Let w(n) = n**3 - 10*n**2 + 12*n + 9. Let s(c) = c**3 - 10*c**2 + 11*c + 8. Let o(m) = -4*s(m) + 3*w(m). Let j be o(9). Is y < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 105. Which is smaller: 716\/19 or v?\nAnswer: 716\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 8. Let s = i - 9. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**2 - 3*p**2 + 2*p**2)*(-1 - 2*p + 1) + 0 - p**3 + 0 + 8*p**3 + 4*p**3 + 2*p**3 to the form f*p**3 + v + i*p + y*p**2 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 45\/8 of a millisecond?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l. Let s(c) = 5*c**2 + c - 1. Let j be s(3). Let z = j + -97\/2. What is the nearest to 0.1 in l, 0.4, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 - -5 - 1*-1. Let f be -2 - (-4)\/d - -2. Is f\/12 + (-302)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53852221 is divided by 369?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-27 + 3)*(-8)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 23. Let r(k) = -k**3 + 8*k**2 - 9*k - 3. Calculate r(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 43. Suppose 81 - 691 = -l*u. What are the prime factors of u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -14*p**3 + 17*p**2 - 17*p + 6. Let j(o) be the first derivative of 5*o**4\/4 - 2*o**3 + 3*o**2 - 2*o - 12. What is 17*j(z) + 6*w(z)?\nAnswer: z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34397 - 8159. Suppose v = 5*f + 3*o, -2*f - 4*o + 10492 = -2*o. What is f rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000558866 rounded to 6 decimal places?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 38 times 4\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 915\/(-20855) + 1000\/48500.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 68616 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + h**2 - 4*h + 3*h)*(1801*h + 74*h**3 - 1801*h).\nAnswer: -148*h**5 - 74*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 + 2*n - 1. Let l be a(1). Let c be (2\/l)\/((-40)\/(-30)). Solve r**3 - c*r**2 - r + 1\/4 = 0 for r.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/(10\/36). Let h(v) = 5*v + 18. Let o be h(-3). Which is the closest to s? (a) 5 (b) o (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f = 19*f - 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23632 + -23635. Sort 1, -13, x, 24, -4 in ascending order.\nAnswer: -13, -4, x, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -r + s - 10, -7*r - 35 = s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)\/s)\/s**2)**50 assuming s is positive.\nAnswer: s**(-250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 255, 303, 389, 519, 699?\n\"Answer: w**3 + 13*w**2 + 2*w + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366 = -26*j - 35*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-9)*n)\/n)**(-3\/14) assuming n is positive.\nAnswer: n**(27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 32 + 32 + 2*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 - 2*r - 2. Let u be l(-3). Let s = 39 + u. Suppose 5*w - 41 = -s. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-190)\/4)\/5*-2. Suppose 0 = -5*u + 3*c + 37, -11 = u - 2*c + 6*c. Solve -u*t = -z + g, -1 = 2*t - 3*t - z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1275186 divided by -1529?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*h - 265 + 1025, -5*r + 760 = 2*h. Suppose 0 = 4*i - 0*i - r. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 4\/(-10)*(-50)\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91706.\nAnswer: 2, 45853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 8. What is the nearest to 0 in 22, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(17) - sqrt(68)\/sqrt(4)) - (sqrt(17) + 0)*-2)**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11948 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3754, 1, -2, 618 in descending order.\nAnswer: 3754, 618, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1628973 is divided by 407243.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*2\/(-3). Let m = 0 - 0.1. Let g = 151 + -149. What is the smallest value in g, m, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 q, and 1 y when three letters picked without replacement from yqyaykkyqyyyyy.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-264)\/(-26796)*261*-7*2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - 10*w**4 + 8*w**4 - w**2 + 2*w**3 - 2*w + 3*w to the form c*w**4 + n*w**3 + x + f*w**2 + k*w and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 8800.\nAnswer: 17600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*o + 3*d - 147, 2*d + 28 = o. Let z(k) = k - 39*k + k - o*k. Let c(h) = -4*h**2. Determine c(z(r)).\nAnswer: -21316*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20441093 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**1)**(-33))**(-17\/2)\/((u\/u**(-2)*u)\/(u\/(u**3\/u)))**(-5) assuming u is positive.\nAnswer: u**586","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4465 + -6415. Is -1949 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000903 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*k - 7, 9 + 7 = d - 4*k. Suppose -d*m = -m. Solve x = -1, 5*x + 5 = 3*j - m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 179147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 + (-2)\/4*2. Find l, given that -2*l**2 + l + k*l - 2 - 3*l - 2*l = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69966*w**3 + 19*w**2 - 45*w**2 + 26*w**2 + 69949*w**3.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1372)*-2*2 - (-5 + (sqrt(1372)*1 - sqrt(1372))))**2.\nAnswer: -560*sqrt(7) + 21977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/5 (b) 1 (c) -3\/4 (d) 4.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139 + -131. Is (-54249)\/(-9) + (-6)\/(-36)*n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, 0, 123 in descending order.\nAnswer: 123, 99, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 n when three letters picked without replacement from {n: 15, z: 5}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 10*k + 67. Let u be v(13). Suppose -u - 84 = 2*q. Sort q, 1, 5.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from vazpi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -7*j - 3*j. Calculate the remainder when j\/(310\/700 + 2\/(-5)) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18198 divided by -27?\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*q + 2*h, -8*h + 9*h = 3*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*t - 1 - 1957*t**4 + t**3 + 2*t**2 + t**3 + 1958*t**4 + 0*t**3 - 3*t**3 to the form q + m*t**2 + y*t**4 + z*t + k*t**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5222 = 3*q - 4*o, -3*q = 2*q + o + 8688. Let g = 61 - q. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(3*(-4*sqrt(7) + sqrt(7)))*2)\/((-1*(-2*sqrt(132) - sqrt(132) - sqrt(132)))\/(sqrt(11) + sqrt(11) + (sqrt(11) - sqrt(275) - sqrt(11))*1)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 584*h - 18 = 585*h, 10 = 5*k + 5*h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*d - 7288 = 27470 - 305496. What is the least common multiple of 1780 and d?\nAnswer: 16020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 21*q**2 - 2. Let g(j) = -1387*j**2 + 133. What is -2*g(i) - 133*u(i)?\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -20777*p + 20774*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + 1)*3*6)**2.\nAnswer: 5832*sqrt(17) + 446472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-13\/4))\/(l*l*l**(3\/11)*l))**(-3\/2) assuming l is positive.\nAnswer: l**(-129\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - 27\/(-6))\/(-1)*4. Solve 5 = 2*k + 3*p, -10 + 4 = -2*k - r*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1620899 or 1620875?\nAnswer: 1620899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 55 = 23*v - d, 0 = 3*v + d - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.055 + 1293865.\nAnswer: 1293865.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*p**3 - 32*p - 272*p - 95*p.\nAnswer: -217*p**3 - 399*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = -3. Suppose q - o*q + 41 = 0. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -4. Let l = v + 19. What is the remainder when 44 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8680 (base 11) in base 16?\nAnswer: 2cc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4 - 12. What is the smallest common multiple of u and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5683084 and 21560.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.32? (a) -2\/19 (b) -0.18 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9482 - 3832. What are the prime factors of v?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000018792 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 621\/184 + (-2)\/(-4)*(-12 + 6)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(20)\/(sqrt(12)\/sqrt(3)) + -4*sqrt(20)\/sqrt(4)).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5048*f**2*j + 2*f*j - 56*f + 851496*j wrt f?\nAnswer: -10096*f*j + 2*j - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 2:52 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 29. Sort 1, b, -9 in increasing order.\nAnswer: -9, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*u - 1191 + 1237, 5*o = 3*u + 176. Calculate the remainder when o is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818 a factor of 2481761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19570\/2166 + (-16)\/456.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84256*p**3 + 70*p + 1217.\nAnswer: -505536*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21888 - 131327\/6. Solve -1\/6*g**3 + 1\/6*g - k + 1\/6*g**2 = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 22*y**2 + y + 1. Let u be o(-1). Suppose -12*k + 114 = -54. Let w = u - k. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.27 + 1.03. Let i = 0.3 - o. Let y(n) = n**2 + 6*n - 2. Let b be y(-6). What is the biggest value in i, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4263 divided by -7.\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + sqrt(1053) + 1 + -2*6*-2*sqrt(1053) + -2)**2 + -1 + -3.\nAnswer: -3600*sqrt(13) + 658185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -157*k + 133. Let s be v(-6). Let u = s - 308. List the prime factors of u.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -38 - -24 - 11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 9:10 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5\/4 + 138973*k**4\/4 - 4823993407*k**3\/4 - 304414595289*k**2\/4 - 424056185064*k - 619800485553 = 0.\nAnswer: -57, -3, 69518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*o + 4 = 137*o, -u + 5*o = 20. Suppose 2*b + 2*b**4 - 22\/3*b**2 + u + 10\/3*b**3 = 0. Calculate b.\nAnswer: -3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*a + 15 + 34 = 0, -3*a = -3*t + 75. Let p = -23 + t. What is the derivative of 0*i**3 + 35 - 30 - 6*i**p wrt i?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13839.\nAnswer: 3, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - 10.1. Let h = 356.54 - 368. Let k = h - d. Round k to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2083?\nAnswer: 3\/2083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 - 7608092110457.\nAnswer: -7608092110457.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cttxttxxxxcxxccx. What is prob of sequence xc?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)*x)**(-3) assuming x is positive.\nAnswer: x**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-5))\/((-3)\/(-45)). Suppose h - 49 = -2*b. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**(4\/9))**(1\/56)*(h**(-2\/23)\/(h\/(h\/h**(3\/5)*h)*h))**(-22) assuming h is positive.\nAnswer: h**(219103\/14490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 4*j - 40. Let y(k) = 2*k**2 + 3*k + 7. Let f be y(-6). Let a = f + -24. Calculate the remainder when a is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 57931152?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32248 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33541 - -35?\nAnswer: 33576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185886.1 centimeters to meters.\nAnswer: 1858.861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 8*l**2 - 3*l + 6. Let f be a(-8). Suppose -4*k = -k - f. Calculate the remainder when 28 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + 0 + -2)*2\/4. Suppose -r*s = 2*z - 842, 3*s + 4*z + 1136 = 7*s. What is the greatest common divisor of 47 and s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*j**2 + 344\/3 + 343\/3*j = 0. What is j?\nAnswer: -1, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1123 - -7676538.\nAnswer: 7675415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*-5*(-2 + sqrt(13)))**2 + 6*(sqrt(52) - sqrt(260)\/sqrt(5))*-1 + 4.\nAnswer: -3600*sqrt(13) + 15304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**4 - 3*i**2 - 2*i**3 + 3*i**2 + 2*i + 180101 - 180101 as c*i + y + p*i**3 + j*i**4 + d*i**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133 + -136. Let q be (-9)\/(-3) + (-15)\/o + -3. Solve -5 = -10*d + q*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, -1, 302 in ascending order.\nAnswer: -5, -1, 6, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.18189l?\nAnswer: 1181.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -18*o**4 + 10714*o**3 - 2111530*o**2 + 137756950*o - 30508500 = 0.\nAnswer: 2\/9, 165, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/17 - -29\/51. Let r = -405 + 266. Let y = 138.7 + r. Which is the closest to -0.3? (a) y (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*y - y - 5*g, g = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1018 less than or equal to -1022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 2\/7, -6, 2\/3 in ascending order.\nAnswer: -6, -2\/15, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-6) - 468\/(-54). Suppose 910 = 17*y - f*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 12 - 0, 5*z - 3*r = -177. Calculate the common denominator of -19\/2 and 0 + (-138)\/z*1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t**3 - 4*t**2*y + 39*t*y - 10038*y wrt t?\nAnswer: -3*t**2 - 8*t*y + 39*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 - -68. Suppose 5*i + 3*t = 278 + 540, s*i + 4*t - 330 = 0. Is -5 + 2 + (i - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34952011 is divided by 51400?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6355 and 820.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13032920 and 4947?\nAnswer: 664678920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698 divided by -2?\nAnswer: -1349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7143 - 7143.006379. What is t rounded to four decimal places?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -11 - 4*b + 16*b**3 + 5 + 4*b**3 + 3*b**2 + 0*b**3 - 19*b**3. Suppose -5*u + 3 - 5 = -4*k, u = -k + 5. Let s be (-6)\/(u\/(-8)*-6). Calculate p(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 373*r**3 - 108*r - 103*r + 213*r in the form w*r**3 + x*r**2 + o*r + v and give w.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f - 5. Let k(s) be the second derivative of -10*s**3\/3 + 9*s**2 - 8*s. Let a(v) = -13*v + 12. Let o(c) = 7*a(c) - 5*k(c). What is -6*b(g) + 5*o(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1704 = 3*i, 6*i - 4*i = -3*w + 5068. Let p = 2753 - w. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188.192745 rounded to one decimal place?\nAnswer: -188.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 8*f**2 + 7*f - 7. Suppose -u + 3 = -h, h + 4*u = -0*u - 3. Let w(z) = -z**3 - 2*z**2 + z + 2. Let l be w(h). Is v(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 1074052?\nAnswer: -1074045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7783303259?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from {x: 1, j: 1, z: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 361 (b) -55 (c) -12 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -642649*u**3 - 2*u**2 + 10053*u + 3 wrt u?\nAnswer: -3855894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*1*-6 + (sqrt(170) - (sqrt(170)*-1*2 - sqrt(170))))\/(((sqrt(160) + sqrt(10))*3 - sqrt(10))*-1).\nAnswer: sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 5*f + a, -5*f + 3*a + 86 = -0*f. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(120) + 2*sqrt(120)*-1)\/sqrt(12))\/(-5*(sqrt(5) - sqrt(125)) + sqrt(320)*-1).\nAnswer: -5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 2:05 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**6\/195 + c**5\/130 - 7*c. Factor u(z).\nAnswer: 2*z**3*(z + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, -1\/66, 4\/5, 69, 4, 5, 0.098?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22429 + 48030. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -2)*4 - -8. Suppose 0 = u*o - 5 - 23. Solve -i - o = -3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*j - 167*j + 24 = -2*n, -2*j - 16 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*h - 72*h - 6*h**2 in the form s*h**2 + t*h + r and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 4:25 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 3466 + 3466.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 686 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -342242\/31 - -11040. Which is the closest to n? (a) -2\/15 (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49995326 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -50640 and -0.05518977.\nAnswer: -50640.05518977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**4 + 14202976*x**3 - 12607726141504*x**2 - 100862490875904*x - 201725436248064 = 0?\nAnswer: -4, 1775376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37979 and 548821.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + k**2 + 3*k + 2. Let r be s(-2). Let b = 12 - r. Let g be (-84)\/(-16) - 1\/4. Sort g, 1, b in descending order.\nAnswer: g, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/87435784 and 143\/11606520.\nAnswer: 1311536760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 421 - 54178?\nAnswer: -53657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11962484 + 8*x**2 + 11962484.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -37745.1.\nAnswer: 11323.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -26.960096 and -85.9.\nAnswer: -112.860096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.99 + 14. Let h = x - -0.036. What is h rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(567))**2 - (5 + -5*sqrt(7))**2) + 2 + -3 + 4*sqrt(343).\nAnswer: 78*sqrt(7) + 366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/99)\/((-4)\/(-6))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqqffqqqffqfqqffqq. Give prob of picking 3 f and 1 q.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 3399.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 2235*w + 2238.\nAnswer: -3*(w - 746)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (5 - 22) - -4 - 17.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*r - 666867 + 667621 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-12) + 116071\/228. Let z = k - 254. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2. Let m(a) = 1485*a. Give p(m(n)).\nAnswer: -4410450*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -9. Let i = 1 + 1. What is the closest to 0 in i, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n. Let o = -4 - -6. Suppose -m - 2 = -4*l, 3*l - l + 8 = 5*m. Let t(g) = -3*g**o - 2*g**2 + 6*g**m. Calculate t(c(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/19))**43*j\/((j**19\/j*j)\/j)*j**(-3\/5) assuming j is positive.\nAnswer: j**(-1242\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 + y - 2*y**2 + 4*y - y - 5*y**3 to the form x*y**2 + p + t*y**3 + h*y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19132*z**3 + 29792*z**2 - 3*z?\nAnswer: 114792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44032847*t**3 + 5255*t**2 + 1191?\nAnswer: 264197082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 793 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1347416 to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6523338664 rounded to five dps?\nAnswer: 0.65233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15140 + -348295\/23. Let l = u - -1789\/69. Calculate the common denominator of -31\/5 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1464114 and 65964.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbs when three letters picked without replacement from {b: 10, o: 2, s: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -1\/4*u**4 + 0*u**2 + 0*u**3 + 0 + 1\/10*u**5 + 29*u. What is the third derivative of z(v) wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101549 is divided by 627.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 0, -1, -21637, 2.\nAnswer: -21637, -4, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -118\/3? (a) 3\/5 (b) 0.4 (c) 4 (d) -29 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 10 + 0 = 0. Let t(u) = 4*u**2. Let k be t(j). What is the derivative of k*z**4 + 3 - 7*z**4 - 3*z**4 wrt z?\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.446894 - -229484.\nAnswer: 229532.446894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6*q - 90 = 0. Suppose 0 = -4*u - 3*f + 14 + 8, 4*u - f - q = 0. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/172856 and -74\/2805.\nAnswer: 28521240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(-770))\/(-4*70\/224).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**4 + 1182*m**3 + 522061*m**2 + 102112980*m + 7463232100 = 0.\nAnswer: -326, -265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.08\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 914 greater than or equal to 1250305\/1368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72974, 73526, 74076, 74624?\nAnswer: 75170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2 + 6330*v - 3339075 = 0. Calculate v.\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 124158.\nAnswer: -124157.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 5*w - 1. Let p(d) = -6*d - 89. Calculate the remainder when p(-16) is divided by y(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*o - 20, x + o + 539 - 534 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5720 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*a**2 - a**3 + 15*a**2 - 7*a**3 + 2*a**3 - 5*a**3 + (a**2 + 3*a**2 - 3*a**2)*(-a - 2*a + 2*a).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/12 + (-2)\/(-3). Let l be -8 + 5 + s + 62. Suppose 0 = 3*u - 2*j - 50, -4*u + l = 2*j - 3*j. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 4 + 4)*(-3 + 0 + 2) + 34*i - 273 + 273 + (0 - 2*i + 0)*(-2 + 5 - 5) + 3*i + 4*i - 5*i in the form w + o*i and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8006*r**2 + 8*r - 5. Let f(s) = 3*s**2. Give c(f(k)).\nAnswer: 72054*k**4 + 24*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*b - 16 = 129*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r + 699*r**3 - 348*r**3 + r**2 - 348*r**3. Let y(g) = -7*g**3 - 2*g**2 - 13*g. Give 9*j(i) + 4*y(i).\nAnswer: -i**3 + i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 12*h + 10. What is the tens digit of x(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 + -1.6. Let v be (-2)\/(-6) - 2\/6. What is the closest to v in -2\/7, o, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2569828?\nAnswer: 2, 642457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*l - 13*l + l**2 + 60*l + 0*l**2.\nAnswer: l**2 + 23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2) + 30\/(-35). Suppose -4\/7*b + 4\/7 + t*b**2 = 0. Calculate b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31\/12 + 11\/4. Let s = 61\/2 + -30. Is u at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10111010111?\nAnswer: -10111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 4. Let y = 10 + -2. Let v be l(y). Solve 0 = -v*p + d - 9, 4*p - 2 = 3*p - 4*d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 8) + (0 - -4) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 3*a + 0*a - a - 27. Let r be z(0). Let g = -19 - r. Solve 3*j - g = 7, -22 = -3*m - 2*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 + -2 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5 + 1\/5*g**5 + 4\/5*g**3 + 4\/5*g**4 - g - 2\/5*g**2.\nAnswer: (g - 1)*(g + 1)**3*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 15. Let d = -0.6 + g. Which is the third biggest value? (a) -0.1 (b) 4\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/423 or -2\/237?\nAnswer: 2\/423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 2*o = -12, -60*o + 55*o = 3*i + 31 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1079 or -18358\/17?\nAnswer: -18358\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40, -53, -62, -67, -68, -65, -58?\n\"Answer: 2*w**2 - 19*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/10 + 81\/(-90)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2423431 by 51.\nAnswer: 2423431\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -926, 1182, 0.2, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -20. Suppose n*x = 13*x. Suppose x = -3*h - 2*h. Solve 3*j + j + 16 = h, z + 3*j + 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*i - x - 37, -9*i + 4*x - 995 = -1143 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.084291 + -0.149162. Let h = 0.065 + a. What is h rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 12*v - 8. Let g be ((-2)\/5)\/(24\/(-60)). Let z be 11*(-2 + -3 + (g - -3)). Let j be i(z). Solve 3*n - 15 = -j*s, 9 = 3*s + 5*n - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 10*u**2 - 13*u - 3. What is j(9)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40931 - 68395703\/1671. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 10:49 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/(-30) + (-115)\/3 and -15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160232 - -10094348\/63. Let n = u - -29\/7. What is the smallest value in -0.2, -0.3, -1\/3, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**4\/18 - 64*t**3\/27 - 44*t**2\/9 + 3872*t\/3 - 1673. Solve m(o) = 0 for o.\nAnswer: -12, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 12 = -2*z, -22 = 5*f - 3*z + 7*z. Does 8 divide (-10395)\/(-110) + f\/8*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -42. Is v >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*(0 + sqrt(68)) + 0 + sqrt(68) + 3 + sqrt(68)))**2.\nAnswer: 1728*sqrt(17) + 39492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1047 and 0.4?\nAnswer: -418.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 32257 times -935\nAnswer: -30160295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -393 + 388. Let y(i) = -i + 3. Let z(d) = d - 3. Determine r*z(n) - 6*y(n).\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 664844611 to the power of 1\/2, to the nearest integer?\nAnswer: 25785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 209671905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2 + 2)*(-1 - 3 + 5) - r + 0*r + 3*r + 55*r + 39*r - 74*r + 4*r + 2*r - r + (4*r - 3*r + 0*r)*(1 - 3 + 0).\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*d - 3161, -2*d = 14*g - 15*g + 635. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 215 + 116 - 2*l - 36 - 31 in the form b + z*l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -79\/1118 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuud. What is prob of sequence ud?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004783078 rounded to six dps?\nAnswer: -0.000478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 14. Let o(t) be the third derivative of -t**4\/6 - t**2 + 10*t. Let s(x) = 20*x. Let p(r) = 14*o(r) + 3*s(r). Give p(w(d)).\nAnswer: -4*d - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.46 + 0.16. Which is the nearest to -3? (a) -1\/11 (b) 0.3 (c) g (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-4\/3))**(3\/11))**(16\/5) assuming j is positive.\nAnswer: j**(112\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/9)*x\/(x\/x**(-15)))\/(x**(-6)*(x**(4\/7)*x)\/x))**(1\/11) assuming x is positive.\nAnswer: x**(-610\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2103, -2104, -2105, -2106, -2107?\nAnswer: -2108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + i**2 - 1. Let w(y) be the third derivative of -y**6\/40 - y**5\/20 - y**4\/24 + y**3 - 313*y**2. Determine -6*l(j) - w(j).\nAnswer: -3*j**3 - 3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 215 * 8.2.\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.94 - -0.06. Let j = t + -7. Let l = -148109 + 148104. Which is the second biggest value? (a) -1 (b) j (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u, 7*u - 5*u + 6 = 4*x. Let h be x\/(0 + 14\/35). Solve -n - 4 = f, 6*n - 5*n - h*f - 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 257 (b) 0.2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -35. Let w be (4*5)\/((-1)\/(9\/(-6))). Suppose w*f = 35*f - 50. What is the remainder when j is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-12)*-3)\/((-2)\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -991, -7458, -25011, -59194, -115551, -199626, -316963?\n\"Answer: -924*m**3 + m**2 - 2*m - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34697.\nAnswer: 13, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -909*d**2*l - 1089*d**2 - 3*d*l - 3*d - l + 624 wrt d?\nAnswer: -1818*l - 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -365*b + 58. Let u(p) = -14. What is c(f) + 5*u(f)?\nAnswer: -365*f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 18*y + 21. Let o(g) = -5*g + 6. Let n be o(2). Let f be v(n). Let s = f + 135. 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: Let c(j) = -17*j**2 + 217*j - 55. What is c(12)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 4 - 5 - 7 - 20*r**4 wrt r.\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2463863\/7 - 351980. Factor k*b**3 + 18\/7 - 3*b + 0*b**2.\nAnswer: 3*(b - 2)*(b - 1)*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119086590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let c(b) = -b + 9. Let z be c(6). Let g(o) = -z*o + 6*o + 6*o**2 - 3*o. Calculate g(r(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-136000)\/(-30))\/10*36\/15?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 + -56. Which is the nearest to p? (a) 2 (b) 0.6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ooaaoooo.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -11. Let a(j) = r*j**2 - 4 - 3*j + 3*j**2 - 3*j**2 - 4*j**2. Let d be a(3). Sort -1, 1, d in decreasing order.\nAnswer: 1, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (3 - 1) + 20 + 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 - -1.9?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/x**(-2\/17)*x\/x**(-4)*x**(-2\/11)*x**(-7)\/x*x assuming x is positive.\nAnswer: x**(-12\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (510\/306)\/((-5)\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8241)\/(-82))\/(-201)*(-4 + 24\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/27)\/((-4)\/8). Let p = 0.5 - 1.1. Let u = -1 - p. What is the closest to -1\/4 in v, u, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -37*q + 7. Let w(m) = 56*m - 12. What is 8*j(s) + 5*w(s)?\nAnswer: -16*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 66 = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2889, 2906, 2941, 2994, 3065, 3154?\nAnswer: 3261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13301292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25263*f**3 - 1101 wrt f?\nAnswer: 75789*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-12)*(2 + 0) - 5. What is the nearest to x in 8, 0, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-9)*(-63)\/(-266)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76930, -76945, -76960, -76975, -76990?\nAnswer: -77005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2555 + 2552. Which is the closest to 0? (a) f (b) 9 (c) -2\/15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -377939 at least as big as -377935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3367100 and 370381.\nAnswer: 37038100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768969 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.26 + 1.86. Let p = m - -0.4. Which is the third biggest value? (a) -3 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22602, -44928, -66972, -88734?\nAnswer: -110214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-10))\/((-24)\/80). Let i be z\/(-10) - 26\/(-10). What are the prime factors of 46\/(-3)*(-3)\/i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 307952.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 5, s: 3, w: 2, l: 5}. Give prob of sequence lk.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 242?\nAnswer: -3\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10577803 by 16349.\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 6. Let t(b) be the first derivative of b**3\/3 - b**2\/2 + 14. Let x(h) = -g(h) + 2*t(h). Give x(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 + -75. Let a be (b*18\/315)\/((-2)\/(-28)). What is the common denominator of (2 + a)\/(-1 + (-2)\/10) and 8\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -79*2\/(-6)*3. Suppose -9*z = 18*z + 4563. Let p = s - z. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-10)*6*5. Solve 0 = -5*g + 14 + k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10964384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 97 - 195 + 101 - 2*t**2 + (6 - 6 + 3*t)*(7*t - 46*t + 19*t) in the form w*t + c*t**2 + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 19*m**2 - 21*m + 56. Let s be x(18). Let u(g) = g - 3. Let p be u(6). Solve -s*v + 7 = p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 39 + 171 = 0. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 8 - 81) + -8 + 3 + -17 - 11?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 17 - 33 = 2*a, 3*q = 3*a + 45. Let v(b) = 17*b - q*b - 11*b. Let y(z) = z. Calculate y(v(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**3 + 54*b**2 - 198*b + 146. Let o(t) = -t**3 - t**2 + 1. Let j(d) = -m(d) - 6*o(d). Factor j(c).\nAnswer: 2*(c - 19)*(c - 4)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, o: 4}. What is prob of sequence yyo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5876635?\nAnswer: 5, 271, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16101 - -16008. Sort -2, -1, x in ascending order.\nAnswer: x, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 74.67569 and 0.\nAnswer: 74.67569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2930 - -10753. List the prime factors of s.\nAnswer: 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.109 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -344*f**2 + 336*f**2 - f + 1 - 15*f**3 + 18*f**3 to the form m + z*f + n*f**2 + h*f**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*v + 0 + 1\/2*v**2.\nAnswer: v*(v - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110 + -1135314?\nAnswer: -1135424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 2*q**2 + 3*q**2)*(-4 + q + 4) + q**3 - 26 + 26 + (-3*q - q + 7*q)*(4*q**2 + 0*q**2 - 3*q**2).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*o**3 - 56*o**3 - 50*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.5. Let z = -81.1 + 74.01. Let l = z - -6.99. What is the smallest value in -2, l, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2638954.2 rounded to the nearest 10000?\nAnswer: 2640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4509369 rounded to 1 decimal place?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**2 - 40*a**2 + 19*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.38 - -0.02. Let i = 112.59 - 112. Let t = 0.19 - i. Put 4, k, t in decreasing order.\nAnswer: 4, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**4\/4 + l**3 + 4*l + 3. Let h be w(-3). Suppose -37 = -h*r + 15. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 10:08 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275 and 605.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000596437353 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from iddiddid?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((423\/(-4935))\/(16\/14))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from uuxxu?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -9351*h**2\/2 - 6136*h - 13046. Find the first derivative of d(j) wrt j.\nAnswer: -9351","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*u + 55 = -5, j - 6 = -2*u. Suppose 0 = 5*a - j - 24. Suppose 6*m - 16 = a. Solve -4*i - 2 - 2 = g, 0 = 4*i + 3*g + m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 8. Suppose -q*p = -3*x + 242, 2*p + 0*p - x + 250 = 0. Let j = 427 + p. What is j rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 43 = 3*r - 116, 4*r - 4*d = 204. Suppose -3*g + 8*g = m + 106, r = 3*g - 3*m. Solve -v = v - 6, 2*j + 4*v = g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*((-9)\/(-5) - 2). Suppose 5*n = 5*x + 2780, -2*n + 1672 = -2*x - x. Let f = 6156\/11 + x. Do s and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 2*u**3 + u - 4 - 3*u**3 - 6*u**2 + 5*u**3. Is z(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142 - 156. Let a be 114\/21 - (3 - (-36)\/u). Put -25, -2, a in descending order.\nAnswer: a, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2, -3\/2, 0.1297.\nAnswer: -3\/2, -1\/2, 0.1297, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 621\/7 + -89. Let d = -23 - -36. Suppose -5*z - 28 = n, 5*z + 2*n = 6*n - d. What is the closest to 0.1 in -0.3, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 15 = 3*k, 5*k + 2*g - 11 = -0*k. Let l(x) = 5*x**3 - x + 2. Let r be l(k). Let s = -36 + 75\/2. Sort s, 3, r in descending order.\nAnswer: r, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**4 - 5*g**3 + 293*g + 3*g**3 - 1 - 297*g to the form p + s*g + h*g**2 + y*g**4 + v*g**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**5 - 116110*a**4 + 15715*a**2.\nAnswer: -120*a**2 - 2786640*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**2. Let x(n) be the first derivative of n**3\/3 + 3. Calculate x(g(m)).\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -802 + 1681. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 2*o = -8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 8, -2*f + 19*l = 16*l - 24. Calculate the common denominator of (f\/(-96))\/(6\/252) and 17\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3425.905 + 4\nAnswer: -3421.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26697171 to the power of 1\/2, to the nearest integer?\nAnswer: 5167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j - 6. Let v(y) = -5*y + 5. Give -3*m(r) - 4*v(r).\nAnswer: 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.298218 milligrams to micrograms.\nAnswer: 298.218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q**2 + 19*q**3 + 11*q**2 - 5*q**2 - 2*q + 2. Let o be s(2). Let j = -96 + o. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-306)\/(-39) - 12\/(-78). Let l = -6 + x. Suppose -3 = l*r - 3*r. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = q - 0. Let w be 1\/(q\/(-1))*18. Suppose 36 = 6*v - 3*v. What is the greatest common divisor of v and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 11) in base 15?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -231434133 (base 5) in base 15?\nAnswer: -159e98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2*q + 5 + 1 + (1015 - 1424 - 515)*(-2*q + 0*q + 5*q) in the form u + n*q and give n.\nAnswer: -2774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = v - 12, 3*n + 4*v = -2*n + 33. Solve 10 = -f + 3*j - j, 2*f = -n*j + 25 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 6*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 351, -67, -1823 in decreasing order.\nAnswer: 351, 2, -67, -1823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 5*l**2 - 7*l + 13. Suppose 1 - 7 = -h. Let x be r(h). Solve -k - 6 = p, x = -0*p + 3*p - 2*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13323 + 10133?\nAnswer: 30122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*t - 23 = -r, -5*r - 5*t + 55 = 0. Suppose 24 - 1 = 5*w - 2*b, -5*b = 4*w + 8. Let k be (w\/r)\/(1\/(-3)). Let f(l) = -8*l**2. Give f(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g - 10. Let t be u(-7). Let n be (t\/(-10))\/(13\/(-5)). Let r = 2 + -1.9. Which is the nearest to r? (a) -2 (b) 1\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28682 (base 10) to base 8\nAnswer: 70012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/7654 and 46\/267.\nAnswer: 22962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92 + 99*y**4 - 9*y**3 + 168*y + 89*y**5 - 376*y**2 - 276*y**3 + 32*y**5 + 137*y**2 + 236.\nAnswer: (y + 1)**3*(11*y - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 8 - (2 + 7)\/3. Suppose m + d - 7 = 0. Suppose f - m*s + 1 = -0*s, f - 7 = -4*s. Solve 5*v = 2*o - 10, -4*v + 1 = -f*v - o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.62688 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5052058 and -0.1.\nAnswer: 5052057.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -8 - (-2 + (2 - 27)) - 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-9) + 2\/9. Let g be 5*(6\/10 - u). Solve -5*x - 3*y = 12, 0 - 3 = -g*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -333, -416, -3, 1152, 3295, 6672, 11529, 18112?\n\"Answer: 41*r**3 + 2*r**2 - 376*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 32. Suppose -168 = -12*x + 19*x. Let l = x + q. Solve l = 3*g - 7*g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -41*l - 237. What are the prime factors of h(-13)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d + 49. Let a be j(5). Let n(r) = 17*r - 1. Give n(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let a be p(-2). Let c(o) = -1 + 5 + a*o + 1. Suppose g = -1 + 12. Let f(u) = 6*u + 14. Calculate g*c(x) - 4*f(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 5*i + 6 = 0, -3*p + 4*i = -15113 + 15108 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 841.5831 kilometers to centimeters.\nAnswer: 84158310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*n + 594 = 3200, 5*i = -n + 13012. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x + 111 - 757 = 993 + 2713 for x.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -164*r - 15497. Give d(-96).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11142375 take away 2.4?\nAnswer: -11142377.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1861647 in 4\/3, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**3\/6 + 7*o**2\/2 - o. Let g(t) = -4. Suppose -347*n + 66 = -325*n. Calculate n*s(h) + 5*g(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/45 and -7\/282?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 25*y - 24*y = 102, y - 78 = -3*r. Calculate the greatest common factor of 4896 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*i = 34, -42 = -2*v - 7999*i + 7994*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -21. Let n(i) = i**2 + 16*i + 28. Let g be n(o). Suppose 3*c - c - 32 = g. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2 - 5*c - c**2 - 2 + 8. Let m be n(5). List the prime factors of (280\/m)\/((-2)\/12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46203 greater than or equal to 46058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1854 + -1913.35. Let o = -835 - -777. Let g = s - o. What is g rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18935)\/(-812) - 9 - 10\/145. Let -3*a**4 + 9\/4 - 69\/4*a**2 - u*a**3 - 15\/4*a = 0. Calculate a.\nAnswer: -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/9, -51, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155667*p - 56384 = -156548*p for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 13 = 2*c + c, -30 = -5*a + 5*c. Put -2, a, 5 in ascending order.\nAnswer: -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-18))\/(63\/(-462))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1399?\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 41*q - 4844. Determine v(118).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**3 - 31548*y**2 - 126080*y + 378384 = 0.\nAnswer: -7883, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27\/3 - 6) + 764. Is 766 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-27)\/(-12))\/(((-9)\/672)\/(-1))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q + 2. Let g be r(2). Let y = g - -7. Suppose y*h = 106 + 41. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**3 - 5*h + 5. List the prime factors of o(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 335 divided by 37\nAnswer: 335\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-7)\/w**(-4\/7)*w*w**5*w**(-7) assuming w is positive.\nAnswer: w**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.4 + 8. What is the third smallest value in 11, p, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 - -102.915. Let n = a + 1.685. What is n rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 10:09 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 (base 13) in base 3?\nAnswer: -11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f + 365. Let y be k(0). Suppose -5*j + 1855 + y = 0. Suppose 2*o + j = 6*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383486033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 640 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 2*z - z. Let f(n) = -6*n**2. Let t(o) = 5*o**2. Suppose -5 = -2*y - 13. Let u(x) = y*t(x) - 3*f(x). Calculate s(u(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*k + 136, 51*o - 56*o - 10 = 0. Let f(w) = -w**3 + 46*w**2 + 4. Let n be f(k). Solve 9 - 9 = -n*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 42*c + 440.\nAnswer: (c - 22)*(c - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/9*-16*15\/(-100).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 - ((-15)\/13 + (-18)\/(-117)). Solve 3*q + 3 = -n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 24*b + 30 = 0. Suppose 4*s = 5*v + b, 6*s - 4*v - 12 = 3*s. Suppose 5*y + 6*y - 99 = s. What is the lowest common multiple of y and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**2 + 147292*q + 1031240 = 0?\nAnswer: -7, 36830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2704 * -0.1\nAnswer: 270.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 727231416?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m*m**(-1)))\/m*m)**(2\/27))**28\/((m**(-2\/5)*m)**(-16)*m**(6\/7)*m\/(m\/(m*m*m**(-2\/7)))*m) assuming m is positive.\nAnswer: m**(211\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*j + 54*j + 924 = 0. Calculate the greatest common divisor of 2090 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**5*w - 271*a**5 - 8*a + 5*w wrt a.\nAnswer: -40*a**3*w - 5420*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20100 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + (6 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 5 - -10) + (-7 + 10 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183 - 919\/5. What is the closest to 2 in -0.09, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 2*v**2 + 4*v - 1. Calculate i(-5).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 3*w + 19, w + 12 = 3*r + 3*w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/56*(-760)\/(-950)*15\/(-2).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30012 (base 7) to base 8\nAnswer: -16054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9c18 (base 15) in base 10?\nAnswer: -539348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/((-2415)\/(-462)))\/((4\/5)\/2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n + 595. Give g(5).\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/15*1*-1. Let b be ((-30)\/(-125)*5)\/((-4)\/215). Let f = b - -63. Put -6, f, d in increasing order.\nAnswer: -6, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1208250 divided by -270\nAnswer: -4475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*b)*(-1 + 1 + 2) - b + 2*b - 5*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -282 - -422. Let j = -135 + p. What is the second smallest value in 8, 2\/13, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-80)*6*2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**2*r**6 + 198*f**2*r**3 + 24*f**2*r**2 - f**2 wrt r?\nAnswer: -240*f**2*r**3 + 1188*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 0\/1*1. Suppose 0 = w - 0 - z. Suppose -y + 45 = b, -45 = -0*b - b + w*y. Round b to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a443 (base 12) to base 16.\nAnswer: 96f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2008015824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -8*j - 6. Suppose -3*c - 21 + 84 = 0. Suppose c = y + 27. Let m(i) = -i - 1. Determine y*m(w) + a(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11880023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5. Let t = d + 3. What is the remainder when (5270\/680)\/((4\/2)\/8) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:12 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-144)\/(-120))\/(42\/15)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a. Let v(k) = 2463153*k + 5. Calculate v(i(w)).\nAnswer: 9852612*w + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -723530 to the nearest 1000.\nAnswer: -724000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 34969464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + l - 4. Let k be r(2). Suppose 4*p - 5*y - 27 = 16, k*y - 1 = -p. Suppose -j = 3*v - 311, 2*v - p*v = -5*j - 505. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 4 + 5 - 12626*j**2 + 12644*j**2 in the form o + m*j + d*j**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 172*b**2. Let c(t) = -82689*t**2. What is a(c(i))?\nAnswer: 1176044964012*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0179577 to 4 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/13 + 60*n**2\/13 - 26*n - 4620\/13 = 0. What is n?\nAnswer: -33, -7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -145, -236, -327, -412, -485, -540?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.0405 - -0.0405. Which is the smallest value? (a) -0.2 (b) 1 (c) -1\/10 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1 - t**2 + 0*t + 8*t - 4 + 0. Let l be f(7). Factor 0 + 1\/3*r**l - 2\/3*r.\nAnswer: r*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -48. Suppose 0 = -d*a + 10*a - 60. What is the tens digit of (-4 - a\/4) + 50?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5254 is divided by 84?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*r - 2*r. Let i be -7 - ((-4)\/(-2))\/r. Let g(p) = 1 + 4*p**2 + 63*p**3 - 3 - 62*p**3 - 7*p. Calculate g(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - (0 - -1 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6 = 0, -i - p - 32 = -9. Which is greater: -26 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13450, 26885, 40320, 53755, 67190?\nAnswer: 80625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -287 + 289 - 2*f - 1452*f**2 + f**3 + 1487*f**2 to l*f**3 + h*f + i + k*f**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 4. Calculate r(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from {g: 3, t: 8, o: 4, z: 4}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 195*d - 194*d + 9, 0 = -u + 2*d + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from mbmmmfbmmmfubbbf.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2287072 divided by -32?\nAnswer: 71471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 459458 and 656?\nAnswer: 150702224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -14112334*i**2. Let u(t) = t**2. Calculate c(u(k)).\nAnswer: -14112334*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101003 and 5593.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from wwsw.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10010000?\nAnswer: -10010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 546139128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**8\/560 - 5*b**4\/12 - b**3\/3 - 8*b. Let o(p) be the second derivative of k(p). What is the first derivative of o(w) wrt w?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*j - j. Let u(s) = 5*s - 5. Let z be u(j). Suppose 2*n = 3*o - 2*n - 9, 5*o - z = 5*n. What is the remainder when 4 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l - 84. Let i be y(4). Let u = -80 - i. Calculate the highest common factor of 108 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17\/4 + (-1)\/4. Let f = p + -2. Suppose 6*v - f*v = 168. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5\/19 + 40*x**4\/19 + 42*x**3\/19.\nAnswer: -2*x**3*(x - 21)*(x + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - l - 6 = -29, 0 = 4*l - 12. Suppose s - n = -s. Which is the closest to 1\/3? (a) s (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5663.341 millennia in centuries?\nAnswer: 56633.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400 = -1614*q + 1574*q for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {c: 4, e: 5, n: 2, g: 7}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251991280 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3 = 7. Let c(s) = s**2 + 11*s. Let m(p) = -2*p. Let o(r) = a*c(r) - 11*m(r). Let w(k) = 6*k**2. Give o(w(t)).\nAnswer: -72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 356*q + 26*q**3 - 20*q**3 + 2*q**2.\nAnswer: 6*q**3 + 356*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*b*d**2 - 171*b*d*m**2 - 13*b + 115*m**2 with respect to d.\nAnswer: -110*b*d - 171*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1047*o + 89 = 1028*o - h, 4*o + 2*h = -8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 634*i**3 - 2625*i**3 + 764*i**3 + 737*i**3 + 657*i**3.\nAnswer: 167*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 7. Let m be f(-7). Suppose m = c + 3*c - 128. Calculate the remainder when 157 is divided by c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -11 + 2 + -51 + 39\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q = b + 5, 4*q + 5 = -3*b. Let v = 121 - 118. Put b, v, 1 in decreasing order.\nAnswer: v, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-8)*(-48)\/(-9). Let l be (z - 6) + 2 + -4. Suppose -5*s - 52 = -g - 0*s, l = 5*g + 3*s - 148. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -136, -83, -6, 101?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from {r: 1, c: 4, w: 3, i: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -12*y**2 + 3*y + 4. Let g(s) = 17*s**2 - 5*s - 6. Let m(z) = 5*g(z) + 7*v(z). Let d(j) = -2*j**2 + 9*j + 5. Determine 4*d(w) + 9*m(w).\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-11) - (-120)\/(-220). Solve f = i + s + 1, 8*i - 3*s = 5*i - 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u**3 + u + 1. Let f be q(-1). Solve -3*r - 2 = g, f = -4*g + 2*r + r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + 6*g**2 - 2*g + 8. Give a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 0*v + 11*v - 3*v + 3*v + 2*v + 5*v - 2*v - v + (-v + 3 - 3)*(-4 + 3 + 2) - 3*v + 20*v + v)*(2 + 2 + 0).\nAnswer: 108*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 6*b + 7. Let o be c(-2). Suppose -3*t = 21 - 78. Sort -5, t, o in increasing order.\nAnswer: -5, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2067 (base 8) to base 12.\nAnswer: -75b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/68 and 32\/5049?\nAnswer: 20196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 6 = 0, -5*y - 4*w + 2 = -0*w. Let x(s) = 5 + s - 1 - y. Let i be (3 + -2)*2*(-45)\/(-30). Determine x(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*5\/15 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 1 = -5*b - f, 2*f + 16 = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2622 - 2192. Calculate the highest common factor of 70 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 25. Suppose 0 = -5*n + m*o + 589, -n + 4*o - 14 = -139. Calculate the highest common divisor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2\/6 + 18688*t\/3 + 174620672\/3 = 0?\nAnswer: -18688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/3 and -1\/68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 3 - -18)*(-2)\/(-4). Suppose o*b + 2331 - 10196 = 0. Calculate the greatest common factor of 55 and b.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 18*k**2 - 59*k + 470. Give x(16).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59594.\nAnswer: 2, 83, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (7 + -12 - -24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*u - 10*u + 3*s + 12, -6*u + 4 = -s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535212 (base 6) in base 2?\nAnswer: 10110000111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 take away -412298?\nAnswer: 412139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 80. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. Suppose k = 2*l - 6. Suppose -2*z - 12 = -2*w, -3*w + l*z + 22 = w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1996, 5 in descending order.\nAnswer: 1996, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22416 - 5417. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12516 divided by 4172.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 966 is divided by 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.122 * -414.\nAnswer: -50.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 72 + 201?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95497 by 89.\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 902228 to the power of 1\/2, to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/21970 and 5\/13182.\nAnswer: 65910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18963.19137 + -18963. Round t to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*n + 351*n = i - 2, 3*i + 2*n = -7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 4. Let f be 10\/(-36) + (-3)\/k. Factor -2\/9*l**2 + f*l + 0.\nAnswer: -2*l*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 79\/2 of a meter?\nAnswer: 3950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**4 - 8690*s**3 + 1278600*s**2 - 47968000*s - 101120000 = 0.\nAnswer: -2, 80, 1580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*h, 10*h - 3 = 6*h - 3*a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 1. Let b = 21 + -23. Let d be u(b). Let a(c) = 15*c**2 - c - 4. Let i be a(d). Calculate the greatest common divisor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-110))\/((-267)\/20).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683.238ml to litres.\nAnswer: 0.683238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 10:33 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 27 + 11 = 2*w, 4*w + 20 = -2*m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -19*u**2 + 5*u + 5. Let j(t) = -9*t**2 + 2*t + 2. Calculate 4*b(x) - 10*j(x).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and -198.\nAnswer: -4158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -4. Let p be (-4)\/(-2) + 8\/z. Let h(c) = 2*c**3 - 5*c. Let m(u) = -9*u**3 + u**2 + 25*u + 2. Let f(j) = -5*h(j) - m(j). Calculate f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2996 (base 13) to base 10\nAnswer: -6038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l - 224 - 51 = -33 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1\/2)\/z*z))**(10\/7)\/((z\/(z*z\/(z**(-18)\/z)))\/z**8))**(-40\/3) assuming z is positive.\nAnswer: z**(-8440\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3*(13 - 12))\/((-3)\/5). Suppose 12 = 5*z - h, -4*z + 3*h + 12 = -2. Put 4, v, z in descending order.\nAnswer: v, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**3\/2 - 36890*p**2 + 1365508333*p\/2 - 85442359527 = 0?\nAnswer: 126, 36827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52.5965 - -0.6045. Let i = -0.199 - r. Let y = i + 65. Round y to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/((((m\/(m*m*m*m**(1\/3)*m*m))\/m)\/m)\/m))**(-1\/13))**(1\/2))**(-3\/19))**14 assuming m is positive.\nAnswer: m**(175\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 451*g**2 - 449*g**2 + 20 - 18 - 6*g. Let o(q) = -8*q**2 + 24*q - 9. What is -4*o(s) - 18*t(s)?\nAnswer: -4*s**2 + 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + 78 + (7 - (5 + -2 - 8 - -10)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24891299?\nAnswer: 24891299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1545025 - -131?\nAnswer: -1544674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -140146 - -1.801\nAnswer: -140144.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 7*l**2 + 5*l + 8. Let p be v(-6). Let h = 2 + p. Calculate the least common multiple of h and 28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -21*k + 48. Let n(w) be the third derivative of 0*w - 1\/12*w**4 + 0 + 0*w**k - 2*w**2. Let z(b) = 10*b. Calculate n(z(s)).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*v - 17*v - 34992. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*l**2 + 585464*l + 10975108.\nAnswer: 14*l + 585464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 26*b**2 + 8*b - 12. Let r be h(2). Suppose -2*v + 5*v = r. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*h - 20*h + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546*r**3 + 5526*r**3 + 216*r**3.\nAnswer: 5196*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 22\/15 of a minute?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -22 + (23 - 20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17378 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15667\/3 - 2130673\/408. Find the common denominator of 33\/10 and v.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, u: 1, w: 2}. Give prob of sequence wuv.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 4*r**2 - 7*r - 7. Let l be w(-5). Let g(m) = -m**3 - 4*m**2 + 10. Let s be g(-5). Suppose 2*x = -l*x + s. Solve -3*j + 2 + x = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2268)*2 - ((sqrt(2268) + -3 + sqrt(2268) - sqrt(2268))*6)**2.\nAnswer: -81972 + 3852*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2692 + -2677. What is the remainder when 66 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1532, 1470, 1408, 1346, 1284, 1222?\n\"Answer: -62*m + 1594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (25 + 22 + -49).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/144476 and 13\/76?\nAnswer: 144476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001338599 rounded to seven decimal places?\nAnswer: 0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 7684 - 15473 + 7661 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08788 - 2764.\nAnswer: -2764.08788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1193040 and 1\/2574.\nAnswer: 170604720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, b: 11, s: 3}. What is prob of sequence qbq?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102 - -46. Let t = l + 56.3. Let s = -2 - -1. What is the third smallest value in s, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56852 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1127120 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*o = 2033, 8*o - 13*o = 3*z - 6029. List the prime factors of z.\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipdliilldsji. Give prob of picking 1 s and 1 i.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1434*b - 2727*b + 0*b**2 + b**2 as w*b + p*b**2 + u and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5550 + 0*v - 849 - 2*v.\nAnswer: -2*v - 6399","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(sqrt(448) + sqrt(448) + 1) + 0 + sqrt(448) + -2 + (-6*(1 + sqrt(448)) - (sqrt(448) + -3 + 4)))**2.\nAnswer: 4096*sqrt(7) + 114944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-1 + 3))\/2. Suppose y = 2*m - m - 4. Suppose -3 = -l - 4*n, 2*l - 3*n - 5 = 1. Calculate the remainder when m is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*k + 3*z, -2*z = 2*k - 5*k - 11. Let h = 13.9 - 12. Let q = h + -2. Put k, q, 2 in descending order.\nAnswer: 2, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1969*n + 653699. What is p(332)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 4:01 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 1031594*n. Let a(d) = 58*d. Calculate u(a(p)).\nAnswer: 59832452*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 515, 734, 927, 1094, 1235, 1350?\nAnswer: 1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 11. Let w be y(-6). Suppose -2*r + 0*u + 18 = w*u, -r + 5*u = 21. Let i = 0.5 + -2.5. What is the closest to 0.1 in r, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.674497911 to 3 decimal places.\nAnswer: -0.674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**4\/f**(-2))\/((f**(-2)*f)\/f*f\/((f**4\/f)\/f)))\/(f**(-1\/2)*f*(f*f\/f**(-6))\/f)**(23\/4) assuming f is positive.\nAnswer: f**(-273\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 3*h - 7. Let d be w(-5). Let s = -15 + 11.9. Let a = s - -0.1. Put d, -0.5, a in increasing order.\nAnswer: a, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82)\/(473304\/555)*-8.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -183 + 189. What is the lowest common multiple of b and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17728 greater than -18185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n = 225. Suppose 156*g + 50 = 158*g. Let s = g + n. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 0. Suppose -y + 2 - m = 0, 2*r = 5*y + 11. Let c be r\/(2*2\/(-2)). Let o(v) = -4*v**3 + v - 1. Determine o(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*q - 8 + 76 = 0, -4*r = q - 78. Suppose -11*p - g = -6*p - r, -5 = g. Solve 0 = 2*u - 3*v + 21, p = v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5*l = 0, -2*l - 5 = 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 78518000 to the nearest 100000.\nAnswer: 78500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1480\/7 - 147979\/700. What is the common denominator of -1 + (-1561)\/(-350) + -5 and j?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w - 22. Let l be a(13). Find the third derivative of -8*m**6 - m**4 - 24*m**2 + 22*m**2 + m**l wrt m.\nAnswer: -960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 16) to base 10.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 14 + 616*s + 12 + 20.\nAnswer: 616*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110072.7 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 0*f + f + 3*f. Let b(h) = -56*h + 820. What is the lowest common multiple of b(14) and d(4)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**3 + 5*c**3 + 5*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 82?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/414 > -360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -100011101 (base 2) to base 11\nAnswer: -23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n + 40 = 4*x + 38*n, 18*x - 124 = -5*n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1090? (a) 42 (b) -1 (c) -152\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -345 - -344. Put 245, 4, d in decreasing order.\nAnswer: 245, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o - 33*o - 148*o**2 + 25*o - 7.\nAnswer: -148*o**2 - 2*o - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -0.40929.\nAnswer: 1.59071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**8\/84 - d**4\/3 + 6*d**2. Find the second derivative of r(f) wrt f.\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c**5 + 19336*c**4 + 269448*c**3 + 409184*c**2 - 104448*c = 0.\nAnswer: -12, -2, 0, 2\/9, 1088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**13\/(i\/i**1))**(-30\/7))**39 assuming i is positive.\nAnswer: i**(-15210\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (1 - (-9 - -4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 16*q**2 + 14*q + 51. Let h be j(17). Suppose h = -2*g - 8, 9*g = 4*m + 7*g - 11116. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8506, 17004, 25502, 34000?\n\"Answer: 8498*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 9) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -37*m**3\/3 + 8. Let g(x) = -2*x**2 + 5*x + 5. Let t(z) = z**2 - 3*z - 3. Let d(l) = -3*g(l) - 5*t(l). Calculate d(c(p)).\nAnswer: 1369*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j + 136. Let u be h(-27). Let l be 4044\/(-45) + (-2)\/15. Let p = u - l. Calculate the smallest common multiple of p and 8.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9594*f**4*y + 14*f*y + 9*f + 8*y + 2 wrt f?\nAnswer: -115128*f**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -245*v + 25 + 203*v - 57 - 85 - v**2 = 0.\nAnswer: -39, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*v = -26, 0 = 9*h + 3*v + 109 - 175. Solve 0 = -3*y + 3*n - h, 6 = -5*y + n + 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -275 + 275 + 2*d + 62*d**2 to the form x*d**2 + z + k*d and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -565633 + 5?\nAnswer: -565626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 140 + 385 = 0. Suppose 4*p + 44 = 112. Calculate the remainder when y is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-18)\/(-378))\/((-9)\/6)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 13*x + 18. Let k be w(-12). Suppose -z = 5*m + 129, -4*z + 3 = -m - k. Find the common denominator of (m\/(-10))\/5*-81 and 67\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/18*4*3. Suppose -225 = 3*h - j*h. What is the highest common divisor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2854830 and 872070.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + -0.2. Let p = -0.04 + 4.04. Put u, p, 0 in descending order.\nAnswer: p, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*w + 965 = 0, 2*o = 27*w - 23*w + 650. Let q = -2211\/7 + o. Suppose 2 = h + 5. What is the third biggest value in -1, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 7*f**2 - 7*f - 1. Let b be w(-6). Let r be (1470\/4)\/b*-2. Is 2\/6*r\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4\/19 + 332*s**3\/19 + 7938*s**2\/19 + 60912*s\/19 + 120096\/19 = 0 for s.\nAnswer: -139, -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqkqkqqkk. What is prob of picking 2 q and 2 k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9978746 and 158326?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-61515)\/25 - 0 - (-8)\/(-20). Is f\/(-214)*(0 - (0 + -2)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 - 6. Let o(k) = -k**2 + 1. Give -6*h(q) - 34*o(q).\nAnswer: 4*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5 + 4976*p**4 - 3926646*p**3 + 994550272*p**2 + 3034951400*p - 4025580000 = 0. Calculate p.\nAnswer: -4, 1, 650, 1191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -806 = -4*v + 2*i, 3*i = 9 - 24. Calculate the remainder when v is divided by (8 + 0)*52\/8.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u. Let z(b) = -2652*b. Let l(a) = -182*y(a) + 2*z(a). Let c(s) = -s**2. Determine l(c(k)).\nAnswer: 4758*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*g**2*m**3 + 26*a*g**2*m + 18*g**2*m**3 + 4*g**2 wrt a.\nAnswer: 2*g**2*m**3 + 26*g**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, s: 7}. Give prob of picking 2 x and 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207 and 110454786.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1247 + -2.\nAnswer: -1249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -5*s**4\/12 + s**2\/2 + 2477*s. Let u(z) = 2*z + 5. Give n(u(x)).\nAnswer: -20*x**2 - 100*x - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 0.01, -0.7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18809.6283ns to days.\nAnswer: 0.00000000021770403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v = -22. Suppose -5*l + v + 59 = 5*r, 5*l - 61 = -2*r. Suppose 0 = -2*g + g + l. What is the greatest common divisor of g and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*((-1*(sqrt(18) + 0 - sqrt(18)))**2 - sqrt(18)) + 3*(-1 + sqrt(72))).\nAnswer: -3*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/5040 and -121\/336528.\nAnswer: 11778480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4055*n**2 - 3454*n**2 + 11009*n**2 - 3473*n**2.\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1085 - 1067. Solve -t*y = -21*y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*m + 19 + 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in 26, 11\/7, -0.2, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 7*h**5\/60 - 5*h**4\/24 + 2*h**3\/3 + 12*h**2. Let t(x) = x**2 - x + 1. Let v(i) = i + 4. Let n be v(-3). Give n*s(r) - 5*t(r).\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 8*h + 7. Let i = 225 + -218. Calculate s(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14598 + -14582. Calculate the smallest common multiple of r and 3352.\nAnswer: 6704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 3*i**4\/2 + 9*i**3\/2 + 9*i - 30. Let v(l) be the first derivative of t(l). Find the second derivative of v(y) wrt y.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 23\/6*f**2 - f - 7\/6*f**3 + 0 = 0. Calculate f.\nAnswer: 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137661.3 times 5\nAnswer: -688306.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 275 or 269?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*p = 11, 103*z = 98*z - 3*p + 3. Solve 2*f = 11*j - 10*j - 1, -3*j = -z*f - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 1:56 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -29*d**2 - 59*d + 2. Let i(k) = -13*k**2 - 27*k + 1. Give 7*i(f) - 3*s(f).\nAnswer: -4*f**2 - 12*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**3 - 3*m**2 + 2. Let g be p(-1). What is the closest to -3 in g, 0.4, 2\/15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 138\/7 - (-22)\/77. Sort 4, h, -2, -1.\nAnswer: -2, -1, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**(3\/17)*(r**(-2\/7)\/r)**(-33\/7)*(r*r\/r**(1\/7)*r**(-1\/6))**(-8\/7) assuming r is positive.\nAnswer: r**(11201\/2499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4 = 11. Let i = -10 - g. Suppose c - 25 = -5*u, 2*u + u + 41 = i*c. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449856 <= 449859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 1, -1, 5, -4 in ascending order.\nAnswer: -97, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 5. Suppose -24 = 3*o - a*o. List the prime factors of 262*3\/6 + -7 + o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**1\/t))**(1\/12)\/(t*t**(1\/4)*t)**(1\/5) assuming t is positive.\nAnswer: t**(-17\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/5))**12*(c*c**(1\/3))**35)**(1\/23) assuming c is positive.\nAnswer: c**(664\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 145.38516 smaller than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104097 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 375 - 375. Suppose l = 10*n - 3*n + 7. Suppose -4*a + 12 = -8*a. Put 2, n, a in descending order.\nAnswer: 2, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j. Let l be (-21)\/(-6) - -1 - (-1)\/(-2). Let n be 60\/3 - (-2 + (7 - l)). Let r(d) = -d**2 + n - 19. Calculate r(m(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 4*j - 1. Let n(q) = -4*q**3 - 202*q**2 - 1964*q - 1774. Let c(l) = n(l) + 2*x(l). What is y in c(y) = 0?\nAnswer: -37, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3800161\/147 greater than 25851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(17) + 5 + 3*(sqrt(17) + sqrt(17) + 0)).\nAnswer: -4*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151050502 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12784*0.031.\nAnswer: -396.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*s = -5, 22*t - 5*s - 25 = 27*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 44 = -c, -5*g + 4*c + 0*c = -104. Suppose 0 = g*q - 17*q - 4585. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115288977 and 670?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19290a + 3?\nAnswer: -192907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-31)\/62)\/((-3)\/(-6)). Let m(p) = 20*p + 26. Calculate m(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1579*s + 3. Let j(c) = -323*c**2. What is n(j(a))?\nAnswer: 510017*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 153786 and -0.1.\nAnswer: -15378.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q - 60 = 0. Suppose 0 = 5*y - 6*s - 50, -5*y + 2*s + 2*s = -50. What is the highest common factor of q and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.05804.\nAnswer: -0.023216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -10ba?\nAnswer: 10b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**2 - 9*l + 1. Let b(y) = 14*y**2 - 25*y + 2. Determine 4*b(g) - 11*j(g).\nAnswer: g**2 - g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.243487t?\nAnswer: 2243.487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**(-15))\/c)\/c)\/((c*c**(-12)*c*c)\/c*c) assuming c is positive.\nAnswer: c**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58.65 + -58.45. Let k = 0.5 + 29.5. Which is the third biggest value? (a) 6\/11 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 588080 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -27 (c) 1\/33 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjdjddjjjdjjjdsds. Give prob of sequence dsdj.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 6*u**2 - 6*u + 4. Suppose 2*p = -p. Suppose 5*l - 26 - 6 = m, p = -2*l + 5*m + 22. What is the remainder when r(7) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4\/9 + 2864*l**3\/9 - 4170*l**2 + 58000*l\/9 + 289000\/9 = 0. What is l?\nAnswer: -1445, -2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158 + 158 + 25*a**2)*(-2 + 0 + 3)*(-446 + 244 - 15).\nAnswer: -5425*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1445 times 2\nAnswer: 2890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59454 * -4.\nAnswer: 237816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(-36) - (-42)\/8. Suppose 6*j - z = 4*j. Solve -y + j = -5*y - 5*f, -4*y + 3*f = -21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1053.3 + 957. Let r = v - -96. Sort 0.034, r, -2 in ascending order.\nAnswer: -2, r, 0.034","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410025864 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0822 - -0.07174. What is d rounded to 4 dps?\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 312?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 33*o**3 + 111*o**3 + 177*o**3 + 154*o**3.\nAnswer: 409*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3470135.089 from 6.\nAnswer: 3470141.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/48 - 357\/(-126).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-8) + 0 + -1. Let m = -5.5 - -5. Let p = 0.2 + m. Which is the closest to 1\/2? (a) p (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11488718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/3 - 37807*t\/3 - 75602.\nAnswer: -(t + 6)*(t + 37801)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105045662 - 3?\nAnswer: 105045657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v + 81. Let g be m(-27). Suppose 219*s - 216*s - 18 = g. Solve -q = -s*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/253 and 67\/869583?\nAnswer: 20000409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxjujjjjxjjujuxjujxx. What is prob of picking 2 j?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13807455, -13807456, -13807457, -13807458?\n\"Answer: -h - 13807454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.35 times -691709\nAnswer: 933807.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from rrrcfzcfcccfrffrrf?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4\/7 (b) 0.4 (c) 3 (d) -99.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.18, 0.41, 5, 0.5?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645607161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 a, and 1 c when four letters picked without replacement from {a: 3, x: 2, c: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 2359 = 2*w. Let b = w - 217. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 16. Let h = 136 - 126. Suppose h*m = 309 + 191. What is the greatest common factor of f and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 + 193 = -43*y + 22*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-248)*(-2 + 4). Is -1 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 650*g - 152071. Calculate c(234).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 304571, 609639, 915211, 1221293, 1527891, 1835011, 2142659?\n\"Answer: x**3 + 246*x**2 + 304323*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + -8 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - -10) + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1068*o + 906*o + 2379*o - 143649 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, q: 4, f: 1, a: 3, r: 10}. Give prob of picking 3 q and 1 f.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816 = 12*w + 4*w. Suppose -22 = -3*y - 7. Calculate the remainder when w is divided by (y\/(-5))\/((-1)\/9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7970437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11697 - -11703. What is the remainder when 2032 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 979069 (base 10) to base 13\nAnswer: 283840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003593 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(343) - (sqrt(343) + 1 - sqrt(343)))*2 + (sqrt(343)*1 - sqrt(343))*-5 + sqrt(343) + 3*-2*(sqrt(343) + sqrt(343) + -2*sqrt(343))) + -3)**2.\nAnswer: -1848*sqrt(7) + 49513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 + o**3 - 8*o**2 + 104 - 28*o - 86. Give h(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1287 = -1286 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3.96. Let v = r - -5.96. Let i = -13\/2 - -27\/4. Which is the smallest value? (a) i (b) v (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.03 (c) 29\/6 (d) 11.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1050985 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23145, 23140, 23151, 23184, 23245, 23340?\n\"Answer: v**3 + 2*v**2 - 18*v + 23160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4)\/12 - 1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 13*t**2 - 37 + 37)*(102*t - 56*t - 100*t).\nAnswer: 702*t**3 + 108*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*l + 32*l + 504 = -45*l for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 5*k - 11*k + 4*k + 2*k - 815 in the form d + b*k and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 42*w - 37*w - 21, 0 = -4*d - 6*w + 48 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 24\/13, 0.1, 0.23, 2, 23, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7)\/u*u*u\/(u*u\/(u*u*u\/(u\/(u*u*u**(-13)))*u)))**(-6\/11) assuming u is positive.\nAnswer: u**(96\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145397*w**2 - 72798*w**2 + 13 - 6 - 7 - 72600*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a = 228. Suppose -4*u - a + 16 = 0. Is 149\/5 + 0 + (-3)\/u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 16*v - 3. Is n(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498121747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1\/30614 (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -522.7, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*h + 2*v + 81, 3*v - 33 = -h. Let n = h - 37. Is 12 a factor of 2\/n + -1*945\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 3:16 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*j - 6, j + 0 = 5*h + 2. What is the remainder when 5 is divided by (2 - 6 - 0)\/(h + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-4))\/r)\/r**(-16))\/((r\/(r*(r**2*r)\/r)*r)\/(r\/(r*r**(-2\/29)))) assuming r is positive.\nAnswer: r**(611\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 4, 0.022, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (22\/(-9) + -2)*21\/(-28) and -46\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1092\/(-144) + (-6)\/(-2) and (18\/120)\/(369\/(-138) - -3)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 112*f**2 - 1917*f + 13. What is m(17)?\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 2. Let n(d) = 6*d**2 + 12*d**2 - 11 + 10*d - 19*d**2. Let a(z) = 2*n(z) + 11*o(z). Find g, given that a(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 814.00000154 + -814. What is u rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.447 + 8.977. What is f rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 37*j - 57. Let v be a(-20). Solve -r + 0*r = d, 5*d + 16 = v*r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6775, 2, -3.\nAnswer: -6775, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55377.29nm to kilometers.\nAnswer: 0.00000005537729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 49*u**2 + 109*u**2 - 98*u**2. Let a(m) be the first derivative of -m**3\/3 + 1. What is b(a(s))?\nAnswer: 60*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5423986812 divided by -6\nAnswer: 903997802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6555780?\nAnswer: 2, 3, 5, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/10*-4*(-128910)\/(-336). Let l = -915\/7 + k. Find the common denominator of l and 37\/(-120)*2*-3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/7 - 584*q**3\/7 + 6486*q**2 - 397620*q\/7.\nAnswer: 2*q*(q - 141)**2*(q - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*a + (2 - 1 + 2)*(-5*a + 0*a + a) - 3 + 3 - 2*a)*((0*a + 3*a - a)*(4 + 1 - 3) + 0*a - 3*a + 4*a + 4*a - a - a).\nAnswer: -112*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*i - 11*i - 5*i**3 - 17*i + 8*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 17 = 3*s, 3*s + 8*y = 12*y + 32. Solve -2*u - 8*u = -s*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8902?\nAnswer: 2, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9381633 rounded to two decimal places?\nAnswer: 5.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 10:40 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (22 - (0 - -9)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -l - 0*r + 6806, 4*r + 20438 = 3*l. Suppose b = -4*i - 0*b + 5458, -5*i + b = -l. List the prime factors of i.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**6\/40 - 11*b**5\/20 + 7*b**4\/2 - 5*b**2 - 10*b. What is v in s(v) = 0?\nAnswer: 0, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 + 17*q**2 - 29*q + 2. Let t be p(6). Sort -1, 4, t in descending order.\nAnswer: t, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -39.2. Let q = z + -2.5. Which is the third biggest value? (a) q (b) 0.11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + (14 - (5 - -8)) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 3, u: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100121112 - -210?\nAnswer: 100122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 1, c: 2, n: 2}. What is prob of picking 1 c, 1 m, and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 102*u**2 + 658*u - 13120. What is j(107)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008*g - 2139*g + 19338 = 446*g - 370*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(84)\/sqrt(4) - sqrt(21) - sqrt(525)*-2)\/(-5*1*-4*sqrt(112)))**2.\nAnswer: 27\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -137. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3774410 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20832188849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75838865 is divided by 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*l**3*m*q**2 + 2*l**3*q**2 - l**2*m*q**2 + l*m*q**2 - 61*m*q wrt l?\nAnswer: -204*m*q**2 + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0. Let n = 12 + -7. Let m be -3*1 + (n - 0). Put m, t, -2 in decreasing order.\nAnswer: m, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + g - 2. Let v be p(0). What is the remainder when ((-19)\/v)\/((-12)\/(-24)) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*(-3)\/(-2)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 464 + -464. Let w = 346 + -349. What is the second smallest value in w, -1\/4, i, 14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 3)*(-4*n + 3*n + 0*n)*(3*n + 3*n - n)*(3 - 2 - 2)*(2 - 3 - 2).\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**3 + 4*f + 4. Let j(v) = -v**3 + v + 1. Let i(x) = -x**2 + 12*x + 9. Let s be i(9). Suppose s*z = 27*z + 45. Determine z*j(p) - o(p).\nAnswer: 2*p**3 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*(-4*sqrt(7)*3 + sqrt(7)))**2.\nAnswer: 6776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 2, -7, -26 in descending order.\nAnswer: 2, 1, -1, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 17 = -75. Let q = 122 - w. Suppose -3*z + 2*d + 40 = 0, -d - 34 = -2*z - 6. What is the highest common factor of q and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/((x\/((x*x**(-1\/19))\/x))\/x))))**(33\/4) assuming x is positive.\nAnswer: x**(297\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17514 - -104555\/6. Let w = 88 + l. Which is the third biggest value? (a) w (b) 0.1 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5611071062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1264 minus 21100903?\nAnswer: -21100903.1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**12\/(m**(5\/3)*m))\/(m\/(m\/(m**(-1)\/m)*m))**35)**(-1\/6) assuming m is positive.\nAnswer: m**(-343\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.61173 != 1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26087*w**3 - 12*w**2 - 5841*w wrt w.\nAnswer: 156522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11609200 to the nearest 10000.\nAnswer: 11610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-71 + 1)*(-40)\/14. Solve -63*c + 13*c = j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349575 is divided by 110?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1768 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1403 + 54?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 + 3.751. Round d to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19125 divided by 125.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 52392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -47*3*8\/(-6). Let x(p) = -94*p + o*p - 89*p. Let w(h) = 9*h**2. Determine w(x(v)).\nAnswer: 225*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (-9)\/6*6800\/(-1020).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 11:58 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000168971 rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 20*o - 28. What is the smallest common multiple of 4 and f(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8204 or -41022\/5?\nAnswer: -8204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347414*i**2 - 347414*i**2 - i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**3\/6 - 9*k**2\/2 + 4*k. Let a be 36\/10*((-475)\/(-10))\/19. Determine d(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.133 + 0.13308. Let p = -2.03 - -0.03. Let w = h - p. Round w to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q + 2. Let s(w) = -10*w - 5. Let k be 8 + (2 - (5 + -2)). Suppose f - 12 = -k. Let i(j) = f*t(j) + 3*s(j). Calculate i(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76402?\nAnswer: 2, 38201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2804)\/(-35050))\/(4 - 2).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n + n + 0*n)*(0*n**2 + 2*n**2 - 5*n**2).\nAnswer: 21*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2 - 6) + 646 + -620\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-21) - (1124319\/(-336708) + 3). Let n = 13\/597 - d. Is 1 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34\/5*t**3 - 2\/5*t**4 - 126\/5*t**2 - 162\/5*t + 0.\nAnswer: -2*t*(t - 9)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 25. Let w(x) = 5*x**3 - 5*x**2 + 5*x - 10. What is the remainder when w(3) is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69200 + 554152 = 49*g - 11*g. List the prime factors of g.\nAnswer: 2, 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/9 and -1\/1071?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-1)\/5))\/(3\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4801 (base 10) in base 15?\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -9*k**2 + 3*k. Let f be i(2). Let c = f - -12. Let u = c - -22. Solve 3*w + 8 = -u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 5. Let a be n(-3). Suppose s - 7 = a. Calculate the highest common divisor of 105 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121.212105 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.1971 meters to centimeters.\nAnswer: 7419.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1684 - 1683.9995209. Round l to five dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -127, 3\/2, -29, -94, 1 in descending order.\nAnswer: 3\/2, 1, -1, -29, -94, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/35)\/(-4))\/(10040\/(-6275)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -40, -199, -634, -1483, -2884, -4975, -7894, -11779?\n\"Answer: -23*n**3 + 2*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 3:34 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -9. Let g = -8 - -12. Suppose -3*w + 87 = -c, 0*w + g*w - c - 115 = 0. Calculate the remainder when w is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4403 > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38 + -654fd?\nAnswer: -65535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39123 and 3381?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3437 (base 9) in base 2?\nAnswer: -100111110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + (9 + (-2968)\/210 - 2\/(-15)). Sort 57, s, 6 in increasing order.\nAnswer: s, 6, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - o**2 - 5*o + 3. Let n(c) = -13 + 10 + 0 + 9*c - 23*c - 2*c**3 - 3*c**2 + 11. Calculate -8*j(l) + 3*n(l).\nAnswer: 2*l**3 - l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3705 take away -1?\nAnswer: 3706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 84, -2, 0, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (1 - (-8 - -10))) + 2 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267849*13.1.\nAnswer: -3508821.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 7*i + 28 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7616, 7616, 7614, 7610, 7604?\nAnswer: 7596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.025 - -31.975. Let f = p - 32. Let s = -0.7 + 0.4. Put s, f, -1\/4 in ascending order.\nAnswer: s, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12514529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 8 = 0, 0 = -c + 7*i - 2*i + 14. Suppose -3*k = c*h - 3*h - 5021, 2 = -2*h. What is the tens digit of 8\/20 - k\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28917 is divided by 323.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (29 + -8)\/(-21) + -4. Let b(p) = 2*p - 4. Let j = 11 + -7. Let l be b(j). Sort c, 38, l in ascending order.\nAnswer: c, l, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10009139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 27 - -5)*3*1 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 7:20 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -41, -5, 24, 23 in ascending order.\nAnswer: -41, -5, 4, 23, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-155)\/(-62)*16\/10. What is the second biggest value in w, 5, 0, -209.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*l - 3 = 5*l, 4*a + 41 = -5*l. Let i(q) = -24*q - 1. Is i(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1. Let f(h) = h**2 - 8*h - 9. Let x(a) = -3*b(a) + f(a). Let g be x(-5). Suppose -5*u + 4*u = -g. List the prime factors of u.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -213934 - -309248. What are the prime factors of a?\nAnswer: 2, 47657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -4*d**6\/15 + 11*d**4\/12 - d. Find the third derivative of s(w) wrt w.\nAnswer: -192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (14 + -31) - 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*b + 7*b - 3, -3*q = -9. Is ((-17)\/4)\/(b\/408*2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-1 + -3)) + (-20 - -22) + -6 + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69910076.\nAnswer: 2, 17477519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 8. Let b be k(-8). Let m = -5 - b. Suppose y + 102 = 5*y + m*f, 3*y = 5*f + 62. Solve 30 = -t + 5*o, -4*o - 4 = -y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30, -102, -214, -366, -558?\n\"Answer: -20*u**2 - 12*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12a2b (base 15) to base 11\nAnswer: 40912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -147.582 and 0.39?\nAnswer: -57.55698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203999157 to the nearest integer?\nAnswer: 14283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 (base 10) in base 13?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2. Suppose 2*r - r = 2. Let n be 2 + (6\/2 - r). Let k(w) = 17 - 17 - n*w. Give k(u(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4 + 3*k + 4*k + 2. Let r be x(2). Let i be (r\/(-10))\/(3\/10). Put -3, i, -2 in ascending order.\nAnswer: i, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + (sqrt(1216) + 1)*-1 + 1.\nAnswer: -8*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -12 - (-1)\/1. Suppose 0 = 3*k - m + 2. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*q**5 - 742*q**2 - 58\/5*q**4 - 10976\/5 - 662\/5*q**3 - 10192\/5*q.\nAnswer: -2*(q + 4)**2*(q + 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1390554 and 270?\nAnswer: 6952770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/4 + r**3\/2 + r**2 - r\/2 - 3\/4.\nAnswer: -(r - 3)*(r - 1)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27994928579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/3 (b) 7 (c) -1 (d) -1\/5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 62 in -0.4, 0.1, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11783675.\nAnswer: 5, 61, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*s - 1222 = -10*f, -s = -3*f + 722. Calculate the highest common divisor of 55 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 + 3*i**2 - 3*i**2)*(3*i - 3*i + i) + (0*i + 24*i + 3*i)*(0*i**2 + 0*i**2 + i**2) in the form f*i**3 + t + n*i**2 + v*i and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -2. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*d + 194*d - 10 = 0, 3*t + 2*d + 7 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2. Let t(d) be the second derivative of -3*d**5\/20 + 15*d**2\/2 - 6*d. Let y(v) be the first derivative of t(v). Determine y(z(u)).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, l: 1, h: 1}. What is prob of picking 1 j and 1 h?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 q, and 1 s when three letters picked without replacement from {g: 1, z: 1, w: 1, s: 1, j: 2, q: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 9:59 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*2 + 0)**2 + 3.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -2*s + 6, 5*g - 19 = -205*s + 204*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v\/(v**3*v)*v*v*v)\/v)*v)\/v)\/v*v**(2\/21) assuming v is positive.\nAnswer: v**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1299, 2591, 3883?\nAnswer: 5175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1549*r**6 - 3*r**2 - 155 wrt r?\nAnswer: 185880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 10*s + 8. Calculate l(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25609?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 0, 2, -77 in decreasing order.\nAnswer: 5, 3, 2, 0, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q + 26*q**2 + 24*q - 8*q.\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/2*17\/(408\/(-64))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 120, 141?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + d - 2. Let w(p) = 3*p**2 + 2*p - 5. Let r(t) = 11*n(t) - 4*w(t). Determine r(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14551 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 8 = 0, 107*s - 56*s - 10*h = 47*s - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-10)*1\/(34\/(-4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*u - 866 = 382 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 7\/5, 3, -236, 9\/4?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5430566 + -10?\nAnswer: -5430606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*q**2 - 118*q + 343*q + 1 - 112*q - 113*q.\nAnswer: 26*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*k**2 - 3*k + 209*k**2 + 7*k - 4*k - 4*k to b + f*k + h*k**2 and give h.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5376772 times -0.2?\nAnswer: 1075354.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1802734 (base 9) in base 2?\nAnswer: -11110101100101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3002 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 12 = -2*i - 0, -5*i = -10. Let d(b) = -2*b**3 - 2*b**2 - 2*b - 3. What is d(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from xfoij?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 16. Suppose -18*i - 18 = 2*g - 14*i, i - 3 = 0. Calculate r(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12016, -11404, -10792, -10180, -9568, -8956?\nAnswer: -8344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184073806 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: Let t(h) = -2*h. Let k(j) be the second derivative of -j**3 + 0*j - 3*j + 5*j. Let d(a) = 6*k(a) - 17*t(a). Let m(b) = -b. Determine d(m(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 5. Suppose -31 = -3*j + 5*p, -2*j + 3*p + 5 = -7*j. Let s be j\/((-2)\/(0 + 6)). Give l(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1563376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/5 in 2\/375, -3, 3\/5, -4.55, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 8*m**2 + 8*m - 7. Let a be w(-9). Suppose q + 2*q - 3 = 0. Factor -4*f + 7*f - 3*f + q - 2*f + f**a.\nAnswer: (f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-15)\/l))\/l*l**(-14) assuming l is positive.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 160342?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -13. Let i be ((-2)\/(4\/(-6)))\/1. Suppose -i*n + 0*n = -12. Solve -n*m = -u - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.6 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 0, 2*l + 5*g + 0*g = -98. Let n = l - -103. Suppose -4*c + 2*s + 14 = -n, 5*s = 20. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*f + q + 2*q, 21 = -5*f - 4*q. Let t(s) = -5*s**2 - s. What is t(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i**4 + 1651\/2*i**2 + 450 + 665\/4*i**3 + 1\/4*i**5 + 1095*i = 0 for i.\nAnswer: -2, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 85164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**5\/m**2*(m**(-5)*m)\/m*(m**(-1)*m)\/m assuming m is positive.\nAnswer: m**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 702 and 68224?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 514333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26630 + -4?\nAnswer: 26627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33007*f - 2049*f**2 - 33007*f to the form j + y*f**2 + s*f and give y.\nAnswer: -2049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -16, -3, 24, 65, 120?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -312, 37, 7 in increasing order.\nAnswer: -312, 7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 5*f - 1. Let g(k) be the second derivative of k**3\/3 - 5*k + 4. Calculate -2*a(v) + 5*g(v).\nAnswer: -2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/29 + -40\/261. Suppose 64 = -r + 3*f, 0 = -4*r - 0*f - f - 256. Let z be r\/(-10) - (3 + 3). Which is the closest to v? (a) z (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019 minus 137606388?\nAnswer: -137606388.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4777.\nAnswer: 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p. Let k(u) = -50*u**2. Determine a(k(y)).\nAnswer: -250*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4549? (a) -1\/6 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 18153*d + 1343276. Give p(-74).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7535.23 * -2.7.\nAnswer: -20345.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -173, -254, -333, -410?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.4412 milliseconds in minutes?\nAnswer: 0.00237402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-5)\/i)\/(i*i*i**(-23\/3)*i))**(2\/53))**(-6\/17) assuming i is positive.\nAnswer: i**(16\/901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 5*f + 2. Let o be g(2). Calculate the common denominator of -97\/10 and (-245)\/15*3\/o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.135 (b) 2\/3 (c) 13 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*t**4 - 29*t - 32*t**4 - 114*t**5 - 7*t**4 - 13*t**5 wrt t?\nAnswer: -2540*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215714 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3982, -15094, -33274, -58522, -90838, -130222, -176674?\n\"Answer: -3534*n**2 - 510*n + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15268.5 + -15268. Sort j, 380, 0 in increasing order.\nAnswer: 0, j, 380","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 20 = 4*d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**3 + 4*a - 6. Calculate y(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 71989 times -123\nAnswer: -8854647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21001 (base 3) to base 5\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (906 - 841) + (-178 - 0).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4*q + 87 = x - 37, 2*q - 44 = -2*x for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/31026 and 59\/2254556?\nAnswer: 6763668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4060 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 3103*i + 481071. Determine w(-148).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Let x(w) be the second derivative of -w**4\/12 - 6*w**3 + 14*w + 2. Determine z(x(u)).\nAnswer: u**2 + 36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2643 + -2642. Calculate the highest common divisor of 8 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-3584)\/(-360)) + 247\/95*5?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*u**3 + 46\/7*u**2 + 0*u + 0.\nAnswer: 2*u**2*(u + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -143 + 143. Which is the second smallest value? (a) x (b) -2 (c) -9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - y - 4*y = 560, 0 = -5*l + 4*y - 542. Let f = 113 + l. Factor 0*k + 0 + 1\/3*k**f - 2\/3*k**2.\nAnswer: k**2*(k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5587 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -2550.\nAnswer: 8\/1275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 106*r**3 - 208*r**3 + 195*r**3 + 9*r**3 + 18*r**3 - 15*r**3 + (0 + 0 - r)*(2*r**2 - 4*r**2 + r**2).\nAnswer: 106*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 + -123.3. Let r = i + 6. Let o = 6.8 - 7. Sort o, r, 2.\nAnswer: r, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-722464889196\nAnswer: -722464889195.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 6*t**2 - 9*t + 4. Let k be (9 - 2)\/((-3)\/6). Let a = 24 + k. Calculate the remainder when z(-7) is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 11:32 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 5. Let j = k + -4. Let f(x) = -x**3 + 3*x**2 + 3*x - 4. What is the smallest common multiple of 8 and f(j)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70848 and 13854720?\nAnswer: 124692480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832)*-2 - sqrt(832))**2 - (-1 + sqrt(13) + -4)) + 3.\nAnswer: -sqrt(13) + 7496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 4*d**2 - 5*d + 8. Let l be i(3). Is 6038 + (-5)\/l*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136256 divided by -3.\nAnswer: -136256\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 139900, 139801, 139666, 139495, 139288, 139045?\n\"Answer: -18*p**2 - 45*p + 139963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 + 22*b**2 + 31*b - 207. Let o be v(11). Put 1, o, 0, -1, -4 in descending order.\nAnswer: o, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8468 + -4 + 1 + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -4*p + 6 - 14, 0 = 2*p - 4*r + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 7*z - 7*z)*(16 + 28 + 6).\nAnswer: -500*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3600 + 44872. What are the prime factors of b?\nAnswer: 2, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-1 - 0)*592\/280608\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -19, -43, -87, -157, -259?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(-35 + 35 - 3*m**4).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -1.3. Let i = -172 + 170. Let q be 25\/5 + 2*i. What is the biggest value in 5, l, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -19) + -10 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3977914 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-5) + 2\/2. Solve -4*q + 5*z - 17 = 0, -5*q = -u*q - 2*z + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 631908*v**4 - 364*v**3 + 3281*v**2 + 4696 wrt v.\nAnswer: 15165792*v - 2184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 19129645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 59, 40, 3, -58, -149, -276, -445?\n\"Answer: -k**3 - 3*k**2 - 3*k + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -663?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000696235117 rounded to 7 decimal places?\nAnswer: -0.0000696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35320*n + 104 = 35370*n - 4*f, -n + 2*f + 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3148 - -12591\/4. Let k = -0.088 + 2.088. Let s = 2 - 4. Which is the closest to t? (a) 5\/3 (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2*(-2)\/(-16)). Suppose 5*w - 9 = -p - 4, -w + 1 = q*p. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190 + 267. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3635 divide 23340335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 25. Suppose 3*a - 3 = -6, -5*a + 10 = 5*o. Suppose o*n = -n. Solve -4*t = 0, 3*t + v + n = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 240 - 348 = -5*p, 0 = 3*p + 4*l - 75. Solve -31*q = p + 103 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/69788 and 19\/34894.\nAnswer: 69788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-107)\/((-2675)\/40))\/((-6)\/10)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60adb (base 14) in base 4?\nAnswer: 320303021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-9 - -3)*1. Suppose -12797 = 2*c - q*c + 3*t, -12787 = -c - 2*t. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*((-6)\/(-13))\/(((-3948)\/611)\/(-28))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.88744 years to millennia.\nAnswer: 0.01488744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -35 times 0.22\nAnswer: -7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.083 - 0.026. Round o to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -733 + 732. Let z = -0.1 + -6.9. Let d = 10 + z. Which is the nearest to x? (a) -1 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + -1*sqrt(13))*2)**2 + sqrt(13) + -5*((-2*sqrt(13))**2 + sqrt(13)).\nAnswer: -247 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14513 is divided by 250.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6 + 3*l - 2*l - 4. Suppose -2*u - 2 = 0, 1 = 4*d + 2*u + u. Let p be j(d). Solve 3*o + 0*v = -4*v + 19, -p*o + 4*v + 11 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqm when three letters picked without replacement from mmqmmmmmmmmmmmmmmq?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 32, 42, 52, 62?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 75 = -7*f + 2*f, 0 = -4*s + 6*f - 61 - 61 + 22 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19664872.\nAnswer: 2, 2458109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:00 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9 (b) 18.3 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/(-36))\/(-11)*(-16)\/(-10)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 113916928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/r**(4\/3))*r)**(1\/33))**(-3\/28) assuming r is positive.\nAnswer: r**(-5\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by (-14)\/(-4)*(-266)\/(-49)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(2*(4*(0 + 0 + sqrt(605) - sqrt(605))*-6 + 1))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + k + 5 + 0)*(-2 + 1 - 13) as q + g*k and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38689.4 or 1?\nAnswer: -38689.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -329 + 328.93. Put 3\/2, -5, -1, d in ascending order.\nAnswer: -5, -1, d, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1357*z + 513*z - 1538*z - 1819*z + 16*z**3.\nAnswer: 16*z**3 - 4201*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 111 = 4*n + u, 25 = -5*u. Let f = -26 + n. What is the lowest common multiple of f and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*r + 75 + 28, -5*r + 30 = z. Let v be 1 + (-12)\/9*-3. What is the highest common factor of v and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 + 124.99877. What is z rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 530 - 14657?\nAnswer: -14127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1904 + 1925. Let a = 12 - 6. Calculate the smallest common multiple of z and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163.5 - -164. Which is the third smallest value? (a) j (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 11 = 4*f, -2*k - 5 = 3*k - 5*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/9)\/2*15. Suppose 4*o + 2 - 22 = 0. Suppose 16 = 2*p + 4*n, -o*p + n + 71 = 20. What is the highest common factor of v and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**3 + 5*z + 5. Let p(c) = -c**3 - c**2. Let t(n) = 5*p(n) - x(n). Let m(g) = -g**3 + 4*g**2 + 4*g + 4. Determine 5*m(o) + 4*t(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 204687\/10108*60\/27\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*o**3 + 89*o + 24*o**5 + 6*o**3 - 41*o**3 - 22*o**5 wrt o.\nAnswer: 40*o**3 - 306*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -5. Suppose 2*v = 59 + x. Does 34 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35829, 71489, 107145, 142797?\n\"Answer: -2*m**2 + 35666*m + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4411337 to the nearest integer?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 863161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -574*l - 979*l - 172918 + 44019 for l.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 279 + -137. Suppose -5*w + 2*q + 174 = 0, 3*q = 6*w - 2*w - z. Find the common denominator of 77\/4 and w\/(-22) + (-1)\/(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 = -26*p - 12198. Let c = 461 + p. Is c at least as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 6, s: 5}. Give prob of sequence gsg.\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18220310, 18220302, 18220294, 18220286?\n\"Answer: -8*o + 18220318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/7, 1, -5, -4, -3.97, 0.5 in increasing order.\nAnswer: -5, -4, -3.97, 0.5, 1, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 775 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10\/9*z**2 + 2\/9*z**4 + 4\/9*z + 8\/9*z**3 + 0 = 0 for z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -3, -0.39, -8, 5?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(-2*c**4 + 5*c**4 - 2*c**4) + 3816*c**4 + 2326*c**4 + 1527*c**4.\nAnswer: 7671*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 167157650 and 4855?\nAnswer: 4855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -39, 16786, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(297)*-6)\/(sqrt(88)\/sqrt(8)*-1*5).\nAnswer: -72*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -54147.\nAnswer: 5414.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 950051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -1060, -3874, -9520, -18982, -33244, -53290?\nAnswer: -80104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 12 = 3*l - 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(180)\/sqrt(45))\/(sqrt(12)\/(sqrt(48) + sqrt(3))))\/((sqrt(147) + (2*sqrt(147) + sqrt(147) - sqrt(147)))*-5*-2).\nAnswer: -sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide ((-3)\/(-16))\/((-112)\/(-1792)) - -18417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-714*h - 272 + 271 - 972*h)*(3 + 2*h**2 - 3).\nAnswer: -3372*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 23. Solve -2*k + 12 = p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 287672*i - 287985*i + 23475 for i.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 428*d + 32296. Give k(-75).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*j - 5 = 15, 4*r + 16 = 4*j. Let h be 7*120\/(-32) - ((-5)\/4 + 1). Sort r, h, -4 in descending order.\nAnswer: r, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 46, -2, -27186, -4.\nAnswer: -27186, -4, -2, -0.5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1157176*l**3 + 455825 with respect to l.\nAnswer: 3471528*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2 + 0*a + 8 + a - 24. Let h(d) = -2. Let b(m) = g(m) - 4*h(m). What is b(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98589343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, a: 6, q: 3, y: 1}. What is prob of sequence hqqq?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(23\/4)\/s)\/s*s)\/(s*s**(9\/4)) assuming s is positive.\nAnswer: s**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o + 22. Let w be m(-5). Solve -4*i - 3*l = -17, 0*i - i + w*l + 7 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -2)\/((-9)\/(45\/10)). Suppose q*n = n - 3. Suppose 24 = 3*l + n*l. Solve l = z + z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*a**3 + 614*a**2 - 5008*a\/9 + 1120\/9.\nAnswer: 2*(a + 35)*(9*a - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 328040000 to the nearest one million.\nAnswer: 328000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 5*w**2 + 2*w - 4. Suppose 5*f - f - 20 = -2*k, 5*k + 3*f = 15. Suppose -4 = m - k. Let h be x(m). Solve h = 6*j - 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(432) + sqrt(432) + -1*sqrt(432) + (-6*(sqrt(432) + 0) - sqrt(432) - sqrt(432)) + 5 + sqrt(432)*-1*-3 + 2 + sqrt(432) + 0 + sqrt(432))**2.\nAnswer: -480*sqrt(3) + 1828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1395 - -27947\/20. Let k = -13\/5 + h. Sort 5, 2\/13, k in descending order.\nAnswer: 5, 2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 6:32 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -62. Let o = -27.52 - p. Let m = 1.4799774 - o. What is m rounded to six decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -2\/3, 1\/2, -1\/3, -0.12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeecrbcb. What is prob of sequence err?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -10. Let v(l) = -l**2 - 6*l + 1. Calculate v(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 137, 296, 519, 806, 1157, 1572?\nAnswer: 2051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - -3. Suppose 2*g + 3*n - 6 = 0, -5*n - 17 = -3*g - 8. Solve 6*s - 3*c = 2*s - t, -4*s - g*c - 29 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1352, 2688, 4010, 5312, 6588?\n\"Answer: -l**3 - l**2 + 1346*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmoc when four letters picked without replacement from {g: 1, m: 2, c: 3, o: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, and 1 w when three letters picked without replacement from wwphhwkpywykp.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 2. Let h be u(0). Suppose -3*j = -h - 7. 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 = 2426 + -2423. Solve 0*j + b*j + 13 = -p, 2*p = 5*j + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 3*w = -63, -2*i + 25 = -5*w - 24. Solve 40 = -12*o + i*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18*42\/(-112))\/(9\/(-24))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 520 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times 57\nAnswer: -5.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4137*z**3 + 189*z**2 + 189*z - 378. Let l(d) = -44*d**3 + 2*d**2 + 2*d - 4. Calculate -189*l(v) + 2*s(v).\nAnswer: 42*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 631 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*sqrt(15)\/sqrt(3)*-5.\nAnswer: 75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/6*(20\/4)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4*h**3 + 0*h**3 + h**3 as f + u*h + q*h**2 + o*h**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 813 a factor of 2738184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*a - 6 = -51*a. Suppose 0 = m + 2*t + 23300000, -2*m = a*m - 5*t + 116500000. What is m rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21795 - 12728. Let x = 9069.8092 - v. Let o = -2.8 + x. What is o rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 6*p**2 - 12526*p + 62569. What is k(5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67370575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**4\/4 - v**3\/2 - v**2. Let r be 2\/((-6)\/(-9)*9\/(-12)). Let i(p) = -17*p - 8. What is r*i(o) + 11*z(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -350 - -392. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(513) + sqrt(57))*-5)\/(sqrt(72)\/sqrt(6)))**2*-4.\nAnswer: -7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 642, 2519, 5626, 9957, 15506, 22267?\n\"Answer: -z**3 + 621*z**2 + 21*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-117)\/378378*33)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 18. Let j(i) be the second derivative of 0*i**2 - i + 0 - 1\/6*i**4 + 0*i**u. Let x(n) = -n. Calculate j(x(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, t: 2, j: 1, v: 2, n: 1}. What is prob of picking 1 t, 1 n, and 1 j?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.07, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((0\/(-8))\/26)\/(2 - (-8)\/(-2)). Which is smaller: 3\/11416 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-45))\/(32\/(-84)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Suppose 5*m = 5*w, 4 = -p*m - 3*w + 8*w. Let y(t) = 2 + 1 + t**2 + 2*t**2 - m*t + 0*t**2. Determine y(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1784353270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 39*m**2. Let o(s) = 34*s + 44*s - 29*s - 182*s + 28*s. Calculate o(d(i)).\nAnswer: -4095*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (40\/28)\/(4\/14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y. Let m(j) be the second derivative of -j**5\/40 - j**3\/6 + 3*j. Let b(w) be the second derivative of m(w). Calculate b(v(f)).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442199 to the power of 1\/2, to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6430633510 to the power of 1\/3, to the nearest integer?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 36. Let t be (-88)\/i + 6\/(-10). Let j = -1.2 - -0.8. Which is the nearest to 2\/7? (a) -0.3 (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1117 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2. Let r(q) = 4*q**2 - 1. Suppose -4*v + 22 - 10 = 0. Let m(h) = v*a(h) + 4*r(h). Find u, given that m(u) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y - 31. Suppose -149 = 6*w - 89. Let d be i(w). Solve 0 = f + 3*s + 9 + d, 14 = -3*f - s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 3:40 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 - 2 = 0. Let s(f) = f + 2. Let l(h) = 2. Let i(y) = z*l(y) - 2*s(y). Let w(k) = 2*k - 1. What is w(i(b))?\nAnswer: -4*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 6*j**2 + j - 4. Let g be y(6). Let r = g - 0. Solve -b + 6*b**4 - 2 - 7*b - 4*b**r + 5*b**3 + 3*b**3 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - v + 20 = 0, -h = 2*h + 4*v + 25. Let f be (h - -3)*(-9)\/6. List the prime factors of f\/39 + (-167)\/(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3000\/(-108) + (-4)\/18. List the prime factors of (-9)\/(-3)*l\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 7:01 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 612 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 67*h - 14. Is y(-47) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1411.45 - -1321.449. Let p = -0.001 - s. Let k = 90.47 - p. Round k to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -20\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*n**2 + 0*n + 0*n + 2*n**2 + 2*n**6 wrt n.\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 1:25 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 - 50088*i**2\/5 + 2800224*i\/5 - 39181184\/5.\nAnswer: 2*(i - 24988)*(i - 28)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.1 and 0.15?\nAnswer: 0.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 2510542?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 3*k + 25. Let s be t(18). Let m = -293 + s. Solve -m = -6*p + 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + -1 - (-114)\/20 and (-2)\/11*837\/36?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -644*y - 6181. Let h be x(-14). Calculate the highest common divisor of 385 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84914827?\nAnswer: 23, 3691949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-36)*n)*n**(-3\/2)\/n*n)\/((n**(2\/25)\/n)\/(((n**(22\/3)\/n*n*n)\/n)\/n*n)))**26 assuming n is positive.\nAnswer: n**(83369\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -593*w**2 - 34445 - 191*w**2 + 22706*w - 51*w**2 + 5*w**3 + 12569*w.\nAnswer: 5*(w - 83)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, -1\/47, 0.087 in descending order.\nAnswer: 0.2, 0.087, -1\/47, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6136?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, a: 6, g: 1}. What is prob of sequence uuug?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-2\/3)\/k*k**(-1\/4)*(k**(-1))**(2\/49)*(k*k**(-1\/11)*k*k*k)\/k**(2\/5)*(k**6*k)\/(k*k\/k**(-3\/10)) assuming k is positive.\nAnswer: k**(266857\/32340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h - 52 = 0. Suppose 0*m = -2*m - 2*l + 4, -h = -5*m - 2*l. Solve 4 + 2 = -m*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1022*v**2 + 512*v**2 + 0*v**4 + 33*v - 23*v**3 - 14*v**3 + v**4 + 511*v**2 to the form w*v + b*v**4 + i + s*v**3 + x*v**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 1, b: 2, p: 5}. What is prob of picking 1 b and 1 p?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 573836553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04578 + 0.04578. Suppose -35 = -5*w - 0*w. Let g = 5 - w. What is the closest to g in x, -12, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.228 + -14068391.\nAnswer: -14068390.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/8*(-4)\/3. Let n(u) = u**2 - u + 2. Let c be n(f). Suppose -z + c*y = 3*y + 7, -5 = -3*z + 2*y. Solve 0 = 3*t + 18 - z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -261061*q**2 - 16*q - 3790805 wrt q.\nAnswer: -522122*q - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -62 (c) -0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k - 15. Let i(w) = 546 + w**2 + 423 - 969. Calculate i(r(x)).\nAnswer: 36*x**2 - 180*x + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*h + 8616 = 0, 6*g - 2*h - 17208 = 2*g. What are the prime factors of g?\nAnswer: 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*s - 36. Suppose -4*t - 3*x = -21, x = 5*t - x - s. Calculate the remainder when 6 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:52 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -50*n + 37. Let w be l(2). Let g = 65 + w. Solve 0 = -2*h - 4*s + 12, g*s + 1 = 2*h + 13 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (-4)\/12)*(0 + -2). What is the third biggest value in -0.05, a, 0?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/4))**26\/(h**(1\/4)*h)**(7\/3) assuming h is positive.\nAnswer: h**(355\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z = -35*z + 1082 - 328 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2180969.\nAnswer: 7, 311567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/512*-216*2\/24*2.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -19, 45, 157, 317?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2. Suppose 3*x = -5*y + 46 - 20, -29 = -2*y + 5*x. Let j(h) = 758*h - 3*h**2 - 746*h - y*h**2. Give j(b(m)).\nAnswer: -40*m**4 + 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -314.4 (b) 2 (c) -0.1 (d) -2 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 2*z - 1. Let d(f) = 27*f**3 - 4*f + 8. What is -d(q) + n(q)?\nAnswer: -26*q**3 + 2*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/72)\/((-10)\/(-6))*(-1098)\/122\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i + 4 - 8*i**2 + 4 - 2. Let j(z) = z**2 - z - 1. Let f be (9\/6 - 1)*-2. Let k(u) = f*x(u) - 5*j(u). What is the derivative of k(o) wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18942, -18905, -18844, -18759, -18650?\nAnswer: -18517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 7 = -14*s. Let d be 1 + s + (-4 - -5). Let z = -3 + 4. Are d and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*sqrt(66)*2)\/(sqrt(48)\/sqrt(2)) + 2)**2.\nAnswer: -15 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.177 + -0.223. Which is the fourth smallest value? (a) -0.2 (b) 0.03 (c) q (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -467500 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 294044728 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: Calculate the remainder when 67 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -18619, -25 in decreasing order.\nAnswer: 4, -6, -25, -18619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1636 = -x, 7*c = 12*c - 4*x - 2722. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/375 and 53\/225?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s. Let r(j) = 54*j - 34*j - 25*j. What is z(r(y))?\nAnswer: 25*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8603*h + 8603*h + 1495*h**2 - 7 + 7 to k*h + b*h**2 + w and give b.\nAnswer: 1495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73802732 and 796?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5516 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(243) + 0)**2 + (1 + sqrt(243))**2*-3 + 4 - (sqrt(300) + (sqrt(300)*-1 + -5)**2 - -3*(-3*sqrt(300) + sqrt(300) + sqrt(300))).\nAnswer: -2025 - 134*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezsmmzzssszozszzme. Give prob of picking 3 z.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22154 divided by 583.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 36 = -3*d, 4*m + 3*d - 51 = -1. Let w be m\/35 - (-18)\/5. Let j be (-6)\/16 - (-171)\/72. Solve -j*l + 2 = -w*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3525 and 987.\nAnswer: 24675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2. Let q be p(-1). Let f = 9 + 17. What are the prime factors of (f\/q)\/((-2)\/(-3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - o + 0*o - 131 = 0, u + 38 = -2*o. Let n = 63 + u. Suppose -4*x = -25 - n. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2\/5 + 1423221234*w\/5 + 168796556742373563\/5 = 0.\nAnswer: -237203539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - 3*(sqrt(91) - (sqrt(91) - (1*sqrt(91) + sqrt(91)) - sqrt(91) - sqrt(91))))\/(-2*sqrt(7)*-1))**2.\nAnswer: 1573\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 0. Let v = b + 38. Let c be (20\/50)\/(v\/45). What is the greatest common divisor of c and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*2*4)\/(sqrt(18)\/sqrt(3)*1).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1196*j + 37*j + 194*j to the form s*j + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*z**2 - 3 + 419*z**2 + 1 + 5.\nAnswer: 348*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 188897119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5 - (3 + -1)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -217 - -219. Put d, 5, -6 in descending order.\nAnswer: 5, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) 220 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 164\/10 - (-4)\/(-10). Suppose -2*k = -0*k - n. Which is bigger: k or 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 8 = -4*p. Suppose d = p*d - 5. Solve 10 = 4*s + 5*c - 3, d*s - 11 = -c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -20) + (0 - -2) + 7 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -5, -0.1, 2\/5, -23.816?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 p, and 1 v when three letters picked without replacement from {i: 2, p: 2, v: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/26, -4794.99, -0.01, 1.\nAnswer: -4794.99, -1\/26, -0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Suppose 2*b + 50 = -0*b - 2*d, 5*d = 3*b + 51. Let g be q\/22 + 4\/b. Solve g = -l - 0 - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.76 in 5\/3, -4\/9, 26, 4, 4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - 46. Let b = v + 121. Let o = b + -27. Solve 5*w + 5 = -3*a + o, 2*w - a + 4 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o*u**2 - 398698206*o + 946983*u**2 wrt u.\nAnswer: -4*o*u + 1893966*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 112102001000021 (base 3) to base 6\nAnswer: 432043011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*f + 454 - 94. What is the closest to 0 in 1\/4, 2, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**4 - 2*h**3 + h**2 - 6*h. Let f(u) = -u**4 - u**3 + u**2 - 5*u. Let m(a) = -4*f(a) + 3*k(a). Suppose m(z) = 0. What is z?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12688860 divided by 5\nAnswer: -2537772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 22. Calculate the highest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 + 4*x**2 - 4*x**2)*(2*x + x - 2*x) - 34*x**3 - 269*x**2 + 269*x**2 as u*x**2 + j*x**3 + n*x + h and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 173*j**4\/12 + 47*j**3\/3 + j**2 - 54*j. What is the second derivative of n(z) wrt z?\nAnswer: 346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 2)\/(-6)*0*-1. Let q be 25\/2 + (-1)\/2. Suppose -3*y = -y - q. Is y equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 555\/(-6))*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 4*s**2 + 4*s - 2. Let h be o(3). Let j = -43 - h. Which is bigger: j or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 481 + -471. Solve 2*b = 4*r + k, 2*r = -10*b + 8*b - 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/225)\/((-7)\/(280\/(-12))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 0*m**3 + m + 1\/6*m**4 + 16*m**2 + 0. What is y(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -26*d - 1275. Calculate s(-57).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289291702 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41 + -126?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyf when four letters picked without replacement from {w: 3, p: 1, f: 3, y: 5, t: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 0*a - a + (2 + 2*a - 2)*(-1 + 0 - 1) + 2*a - 33*a + 17*a as n + k*a and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 23. 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: Simplify (u**(1\/12)\/u*u**14)**(8\/9) assuming u is positive.\nAnswer: u**(314\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**3 + 357648*d**2 + 33296236*d - 33653880 = 0. Calculate d.\nAnswer: -94, 1, 89505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 8.1, 0.04, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667 = 7*n + 16*n. Let k(x) = 10*x + 1. Let w be k(-5). Let q = n - w. What is the remainder when 59 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**3 - 2*s**2 + 2*s. Let f(a) = 298*a - 622*a - a**2 + 325*a. Calculate 2*f(z) - v(z).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -291 + 323. Calculate the remainder when c is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 45 + -10 - 8 - (11 - -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132974*a**3*i + 3*a*i + 620*a wrt a?\nAnswer: -797844*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1307 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -685*w - 3. Let a(r) = 2*r + 1. Calculate 4*a(z) + i(z).\nAnswer: -677*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 + 3 + (-1 - -249)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40461718 - -18?\nAnswer: 18.40461718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) -2\/9 (b) -5 (c) 2 (d) -274\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/30 - (-116)\/10. Let w be (267\/(-6))\/(1410\/h). Let g = 1\/47 - w. Which is the third smallest value? (a) g (b) 3 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Suppose -44 = -w*y - 0*y. Let v = -13 + y. Calculate the remainder when 25 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 832 and 50024.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0 + 2 - 2 - 1 + (2 + 3 - 4)*(-5 + 3 + 4) + 3 + 1 - 5 + 2 - 5 + 4 + 3 - 1 + 0 + 7 + 3 + 4)*(1 - l - 1)*(2 + 6 - 2).\nAnswer: -90*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663 (base 13) to base 4.\nAnswer: 101013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039 minus -0.04915?\nAnswer: 0.08815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 688 a factor of 184049632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/8 and 101\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2873 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/7))**(2\/13)*w**(-2\/11)\/(w**2*w*w))\/((w\/(w*w**0\/w))**(-34)*(w**(1\/2))**(-49)) assuming w is positive.\nAnswer: w**(108965\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6612.749 days in milliseconds?\nAnswer: 571341513600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-304)\/380*(-56825)\/2. What is m rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-1 - ((-6 - 10) + (20 - 10)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 52, -4, -0.05, -316, 0?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -69, 3, -1, -616, 4 in decreasing order.\nAnswer: 4, 3, 1, -1, -5, -69, -616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + ((-69)\/161)\/((-2)\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4 = -2*i - 6, 5*i - 4*p - 12 = 0. Solve 0 = 10*m - i*m - 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*r + 1264 = 76, 0 = u - 3*r - 578. Suppose 4*s = 9*s - u. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 306 + -306. Factor t + l**3 - 1\/2*l**5 + 0*l**2 + 0*l - 1\/2*l**4.\nAnswer: -l**3*(l - 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 - (45 + 2)) - (25 + (-20 - 3))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -54199, -108435, -162671, -216907, -271143?\n\"Answer: -54236*o + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2))\/(2\/4). Suppose 4*o + 52 = 4*x + 20, o = -l. Suppose 3*f = x*f - 732. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = f + f + 5*m, 0 = -5*f - 4*m - 67. Suppose s + 3*r - r - 37 = 0, 5*s = r + 130. Let i = s + f. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*g**3 - 22*g**3 - 41*g**3 - 16 - 5*g**2 in the form s + o*g**2 + y*g + n*g**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 10122?\nAnswer: 10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 17*o + 170. Let m be p(24). Suppose 0 = -2*k + 4, 0 = m*t - 5*k - 117 - 77. What is the greatest common factor of 561 and t?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3478006.1 rounded to the nearest one hundred thousand?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148735 + -77235. Round g to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 176050.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/((-300)\/(-45))*(-850)\/(-75)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 576447609 minus 0.3?\nAnswer: 576447608.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 14.37. Let u = 0.07 - w. What is the nearest to -1 in u, 4, -2\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9 + 3*f + 798*f**2 + 0*f - 14 - 805*f**2 + 0*f. Let a(n) = 8*n**2 - 4*n + 5. Determine -5*a(h) - 6*k(h).\nAnswer: 2*h**2 + 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, t: 4, s: 4, k: 1, i: 2, x: 1}. Give prob of sequence tiik.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11 and 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 27*l - 24. Give h(7).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3501264 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 10*l + 17. Determine v(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -20.4. Let q = 9 - u. Let y = 2 + -1.8. Which is the nearest to y? (a) 0.3 (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 - -117. Solve -k = -2*k + n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12392 - 12396. Let w(l) = 27*l**2 + 15*l - 15. Let u(f) = 7*f**2 + 4*f - 4. Let k be 1\/1 + 2*7. Determine k*u(h) + n*w(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23962, 191764, 647226, 1534174, 2996434?\nAnswer: 5177832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 2:01 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 560.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110040 (base 5) to base 9.\nAnswer: 53031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5654353.\nAnswer: 17, 131, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 8:27 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*71 - (-96102)\/1405?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17333*g**2*l**4 - g**2*l**2 + 78458*g + 2*l**6 wrt l.\nAnswer: -415992*g**2*l + 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 106*m + 88*m - 9*m - 350*m**2 + 35*m - 40 + 125*m**3 = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07998 - -5.07998. Which is the third smallest value? (a) q (b) -2\/3 (c) 0 (d) -0.5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaa. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 6:13 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114825393 to the nearest integer?\nAnswer: 10716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21212.\nAnswer: 2, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -18, 16 in ascending order.\nAnswer: -18, -11, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 2*v**3 - 2*v**3 + (3 + 3 - 4)*(-v**3 + 3*v**2 - 3*v**2) + 3*v**3 + 2*v**3 - 6*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2. Let a(c) be the first derivative of -536*c**2 + c + 4589. Determine h(a(n)).\nAnswer: 2298368*n**2 - 4288*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2330, 2333, 2338, 2345, 2354, 2365, 2378?\nAnswer: 2393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 - -2) - (2 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3107001 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -266*o + 449. Let x(d) = 43*d - 75. Let q(f) = -6*m(f) - 37*x(f). Calculate q(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*2\/30)\/(((-2)\/(-203))\/((-6880)\/4816)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7643 divided by -318\nAnswer: -7643\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -57068817535.285 and -0.1?\nAnswer: 57068817535.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11797691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 124, 131, 124, 97, 44, -41?\n\"Answer: -k**3 - k**2 + 17*k + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4*j\/j**(-15)*j*(j*j*j**(-3\/4)*j)**(-48) assuming j is positive.\nAnswer: j**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-561)\/748*(-6 - -14 - 24\/15).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(7260) + sqrt(7260))\/((2*sqrt(1452) - sqrt(1452)) + sqrt(1452) - sqrt(1452)))**2 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxllmxmlxmemwl. What is prob of sequence xxll?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 10) to base 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(2 - 2 - -10). Suppose 3 + 4 = y + 4*s, 3*s = 4*y + h. What is the units digit of ((-2)\/(-4))\/(y\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.32533 - 0.02533. What is the nearest to 1 in 5, 24\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0 (b) -6 (c) 0.2 (d) -499\/5 (e) 0.6 (f) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u - 41*u - 37*u = 819 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 2*j**2 + 3*j + 7. What is k(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -28, -36, -60, -106?\n\"Answer: -p**3 + p**2 + 6*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 2 - -5 - 16\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 3*d**2 - d. Let a be x(-3). Suppose 8 = h + a*h. Let y(v) = 5*v**2 - 4*v + 3. What is the tens digit of y(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 5 - 3 - 5 - 62*r**3.\nAnswer: -62*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33*(-46)\/3036)\/((5\/5)\/100).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 706 * -10.91.\nAnswer: -7702.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0511556 times -3?\nAnswer: 0.1534668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-899)\/(-372) - (-4)\/(-6) - 1\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -0.1 (c) -38 (d) -2\/7 (e) -0.6 (f) -1\/2 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2452)\/1976 + -9*(-4)\/(-234) - 4\/38\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/6))\/j)\/j**(-6)*j**(-2\/7)*j\/j**(-2\/15))**(2\/51) assuming j is positive.\nAnswer: j**(1403\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 218796 * -511.2\nAnswer: -111848515.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001474744 to 7 decimal places.\nAnswer: 0.0001475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34065 + 54934. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4580517 (base 9) to base 15\nAnswer: -33d02d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a615 (base 12) to base 7.\nAnswer: 453212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (770\/(-28)*23\/115)\/((-6)\/(-48))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -1300*v**3\/3 - 4517*v**2\/2 - 843*v. Differentiate q(d) wrt d.\nAnswer: -2600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(-2\/3)))**40*s\/(s*s**(-3)*s)*s**(3\/11))**(-4\/9))**(-46) assuming s is positive.\nAnswer: s**(175720\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37869 take away -328684?\nAnswer: 366553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4414 is divided by 1094?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**3 - 2*m**3 + 7*m**3 + 4 wrt m?\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1011, -1543, -2085, -2643, -3223, -3831, -4473?\nAnswer: -5155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1935, 2283, 2631, 2979?\n\"Answer: 348*y + 1587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 12*p**2 + 14*p - 1. What is the tens digit of k(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24064 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 548 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 + (1 - 16\/3). Which is the biggest value? (a) 1 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/4)\/2*((-1080)\/594)\/20?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -682114923*g**5 + 1213669533*g.\nAnswer: -13642298460*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, 6, 5, -20, -81?\n\"Answer: -2*a**3 + 6*a**2 + 7*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 987*k + 0*k**3 + 2 + 976*k + 2*k**3 to the form d*k**2 + b*k**3 + q + c*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.041 - -0.571. Let n = p + -72.53. Let k = n + 71.999926. What is k rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a milligram in micrograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154 (base 7) in base 4?\nAnswer: 30012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56036.9000025 + 56037. Let g = 0.4 - 0.3. Let t = g - z. What is t rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 6*x**2 + x + 1. Let n = 1 + -5. What is the remainder when a(n) is divided by 89 + -95 + 23 + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 - 98 = -9*m. Let n = -39 - -22. Let q = n + m. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24951 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 9*l + 45 = -4*g, -2*l = -g - 30. Suppose -l*j = 14*j - 233015. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 3297 = 3241. What is the greatest common factor of d and 500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240806992 divided by 4\nAnswer: -60201748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12202211111 + 11?\nAnswer: -12202211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(4 - 2) - 0. Let f = 2.93 + -3.3301. Let t = f + 0.0001. What is the nearest to 0.1 in q, t, -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 7*y + 9. Let x be n(-7). Factor -6*w - 4*w**5 - 27*w**3 - 15*w**4 + x*w**2 - w**5 + 2*w**5 - 30*w**2.\nAnswer: -3*w*(w + 1)**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9*d + 6. Let r(m) = -17*m - 11. Let s(j) = 6*r(j) + 11*z(j). Let b(p) be the third derivative of -5*p**4\/24 - 3*p**2 - 74*p. Determine b(s(y)).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.008 and -7526.3.\nAnswer: 60.2104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14627*h**6 + 6*h**5 - h**2 + 20186 wrt h.\nAnswer: 1755240*h**3 + 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + r + 1. Let z be n(-2). Suppose 0 = -z*p - p - 28. Let i = p + 11. Solve 3*t + 15 = l, -15 = 3*t - 0*t + i*l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1101 + l**2 - 2238 + 1084.\nAnswer: l**2 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 55*p + 1. Let v(g) = 24*g - 1. What is u(q) + 2*v(q)?\nAnswer: 103*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c*x + 1133*c + 1138*x**2 - 2*x wrt x?\nAnswer: 2*c + 2276*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -293535776979?\nAnswer: 293535776979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -0.305?\nAnswer: -0.305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m**2. Let b(s) be the first derivative of -3*s**2 + 4*s + 6. Let o(y) = 5*y - 3. Let c(n) = 3*b(n) + 4*o(n). Give c(i(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1310*j - 175553. Calculate f(134).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 3*q**2 + 4*q - 3. Let b be d(4). Let s be 1 - (2 + 3\/b). Round s to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*o - 62254 + 13229 = 0, 4*o - 49033 = -3*p. Does 116 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -187.918, -0.5, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 121*m**2 - 29*m - 77. Is d(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17224*z + 37281*z + 11711*z + 5.\nAnswer: 66216*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 1028.5867 and -4.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515293978.\nAnswer: 2, 23, 619, 18097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q**4 - 19*q**4 - 26*q**4)*(-2 + 0 + 0)*(4 - 4 + 2)*(-4 - 9 - 1).\nAnswer: -1960*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 0*x**2 - 1\/6*x**4 + 0*x**3 - 1\/10*x**6 + 4*x + 0 + 0*x**5. Find the third derivative of s(g) wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22529 - -32772. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -3787184.5873\nAnswer: 3787191.5873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -v**2 + 52820*v + 42716 wrt v?\nAnswer: -2*v + 52820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45494 is divided by 410?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + d. Let r(p) = -3*p**2 - p. Let w = -1 + 5. Let b(h) = 2*h**2 + 30*h + 55. Let q be b(-2). What is q*r(i) + w*n(i)?\nAnswer: -i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10567 + 10556. Which is the nearest to m? (a) 7 (b) 7\/12 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -2094\nAnswer: 4188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11325 (base 9) in base 3?\nAnswer: -101100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -900222 or -900239?\nAnswer: -900222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -2659.4294?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -3, 13, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -49300.811 rounded to the nearest 100?\nAnswer: -49300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*f - 4*f + 27*f = 247. Put 3, -2, f, 8, 0 in increasing order.\nAnswer: -2, 0, f, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.285545 nanoseconds in seconds?\nAnswer: 0.000000009285545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 r when three letters picked without replacement from cvocrxcdvvdxcdrcvcvc.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-6)*6)\/(234\/(-52)))\/5\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 716782 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5236 by 68.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 485768 to the power of 1\/2, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 532, 671, 810, 949, 1088, 1227?\n\"Answer: 139*q + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Suppose -m = -i - 4*m + 16, u = -i + m. Suppose 9*l - i*l - 65 = 0. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38670886873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8)**37\/(d*d*d*d**19\/d*d*d\/d**7) assuming d is positive.\nAnswer: d**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-8)\/60.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-9))\/(4 - 3 - 2). Which is the nearest to 1? (a) 5 (b) -0.2 (c) -0.4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4728\/152 + (-2)\/19. Find the second derivative of 176*y - 5*y**5 - l + 40 - 7*y**4 - 11 wrt y.\nAnswer: -100*y**3 - 84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 806 and 962?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 10)*1\/(-2). Let z = -3 + 2. Let a(v) = 2*v**2 - 2*v - 1. Let q be a(z). Which is bigger: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*r + 4*r. Suppose 2*t + 6 = 0, 10 = 4*s - 0*t + 2*t. Suppose 0 = -2*h + q + 2, -3*h + 2*q + 0 = -s. Is h at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, u: 3, e: 6}. Give prob of picking 1 q and 1 u.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 5456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**3 - 58*h**2 + 133*h + 196 = 0. What is h?\nAnswer: -1, 28\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*r + 4 + 2 = 0, -5*g + 9 = -2*r. Suppose -6*x - 4*u = 42, 4*x - 14*u + 18*u + 32 = 0. Sort -1, x, g in decreasing order.\nAnswer: g, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**4 + 681456*t**3 + 38698523325*t**2 - 681456*t - 38698523328 = 0?\nAnswer: -113576, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 163?\nAnswer: 15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-240))\/(7\/56).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.3, 6\/7.\nAnswer: -0.3, 6\/7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 6*z**7\/35 - 5*z**3\/3 - 8*z**2. Differentiate i(p) with respect to p.\nAnswer: 144*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (159\/49 + -1)\/(2022\/(-337)) and 43\/378.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5514 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 87*t**2 + 2*t + 3. Let x(k) = -87*k**2 - 2*k - 4. Let g(n) = 3*m(n) + 2*x(n). Is g(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11\/110)\/(-1*(-3)\/6). Let x = 4 - 4.3. Let l(y) = -y + 5. Let n be l(8). Which is the third smallest value? (a) q (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 6*m**2 - 4*m**2 + (m + 0*m - 2*m)*(-4*m + m + 4*m) + (2 - 2*m - 2)*(14*m - 8*m + 7*m) + (-1 + 1 + m)*(-4*m - 3 + 3).\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - c + 2, 40*c - 39*c - 2 = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 19. Let c be (-9)\/f*(-2)\/3. Let k be (-129 + 130)\/(5\/(-2)). Sort k, -4, c, -1 in ascending order.\nAnswer: -4, -1, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 2013757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95918207 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**3 + 4*k**3 + 0*k**3)*(5*k - k - 3*k + (3 + 0 - 5)*(-4*k - k + 4*k)).\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15119, -30409, -45699, -60989, -76279?\n\"Answer: -15290*m + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 0 - (-285 - -268)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 233*u - 997. Let x be l(111). What is the greatest common divisor of 992 and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2634 (base 7) in base 4?\nAnswer: 33231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p\/(p*p\/p**(-1))*p)\/(p\/(p**(8\/3)\/p)))**(-15\/2)*((p\/p**3)\/p)\/(p**1*p*p)*(p**(-1))**(3\/4) assuming p is positive.\nAnswer: p**(-107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -45.2 times -0.95\nAnswer: 42.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -159029*u - 1. Let c be s(-2). Suppose -2718057 = 2*f - c. Round f to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 + 102. List the prime factors of (t + -5)*519 - -7.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(3744)*2*-6*-2)\/(-2*sqrt(200)*2 + sqrt(200) + 4*(sqrt(200) + (sqrt(200) - (sqrt(200) + 2*sqrt(200) + sqrt(200))))))**2.\nAnswer: 269568\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 26589, 5, 2\/3, 1.7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/72*3\/(-6))\/((-7)\/(-3)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*o - o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**3 + 0*z**3 + 4*z**3 + (-11*z**2 + z**2 - 2*z**2)*(3*z - z - 4*z).\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c8529 (base 16) to base 9.\nAnswer: -1480480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1808.381 - 1798.3. Let h = -1.021 + q. Round h to one decimal place.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4604893586?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40273 (base 8) to base 7.\nAnswer: 66212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 10:53 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 115 = -3*x - 0*o, -3*o = 2*x - 84. Suppose x = -3*u + 8*u + n, 0 = -3*u - n + 23. Solve j - u = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v**2 - 11661*v - 52353.\nAnswer: -3*(v + 1939)*(2*v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-4*a + 4 - 4)*(-1 - 2 - 2)*(-14 + 7*a + 14).\nAnswer: 140*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k + 24. Let l be 2*2*2\/(-8). Calculate the least common multiple of k and (8\/l)\/(-1) - -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -474, -1540, -3554, -6816, -11626, -18284, -27090?\nAnswer: -38344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1097*o**3 - 1885*o**3 - 305*o**3)*(3*o - 4*o + 0*o).\nAnswer: 3287*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -961, -2040, -3241, -4564, -6009, -7576, -9265?\nAnswer: -11076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(57)\/(-2*1*sqrt(3)) + -3)*5.\nAnswer: -5*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 0*x**3 + 9*x**2 + 13*x + x**3 - 11 - 21*x. Let q be v(-9). Suppose 0*p - 5*p - 5 = a, 3*a - 4*p = q. Calculate the highest common factor of 30 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 12 = -v. What is the third derivative of -2*n**3 + 31*n**4 + v*n**3 - 9*n**3 - 21*n**2 wrt n?\nAnswer: 744*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178 and 1157?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o + 8. Let d be i(-6). Suppose -5*n - 4*p = -d, n - 4*p - 7 = -21. Calculate the lowest common multiple of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 207. Let j(v) = -v - 75. Let l(s) = -4*d(s) - 11*j(s). Let b(q) = q. Calculate 2*b(r) + l(r).\nAnswer: 5*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95779 and 9088.\nAnswer: 12259712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.36 + 0.19. Let f = n + 0.57. Let z = -3 + 4. What is the closest to z in -0.2, -2\/11, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-15 - -30)*(-2)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 13*s**2 - 23*s + 11. Let i be y(11). Suppose i = 25*b - 29*b + 12. Solve -4*z + b - 19 = -u, 4*z - 2*u + 16 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i + 29. Let j(t) = -t. Let z(r) = -3*j(r) + q(r). Let w = -11 + 24. Let k be z(w). Solve -3*u = -4*y + 19, -2*u - 4 = -k*y + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4191 and 470154?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191\/1110 + -1\/185. Suppose -6*k + 10*k - 12 = 0. Let v = 0.55 - 0.35. Which is the nearest to u? (a) -3 (b) k (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - 8*i + 4 + i**3 - i**2 + 0*i**2 - 4*i**2 + 0*i**2. What is s(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4)*(13\/2 - 6). Put 0, 1, -3, w, 169\/5 in decreasing order.\nAnswer: 169\/5, 1, 0, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6713 by 20.\nAnswer: 6713\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(30\/(-60)*16\/376)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 - -104. Let j(k) = 2*k - 13. Let u(p) = 3*p - 14. Let w(t) = 4*j(t) - 3*u(t). Give w(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - o + 5*b - 20, 2*b - 10 = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278099484.\nAnswer: 2, 3, 13, 1782689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211 (base 5) in base 14?\nAnswer: 17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.5, -5\/16, 4, 0.285, 1\/4?\nAnswer: 0.285","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(6\/((-16)\/8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6189296 + b - 6189296.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*m - 6, -o - 3 = 5*m - 32. Let l = -2 + o. What is the lowest common multiple of 5 and (0 - -1)\/(l\/6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w + 7. Let j(u) = u + 1. Let d(q) = 4*g(q) - 28*j(q). Let p(x) = x**2. Let k be p(0). Suppose 3*i + k = 3, 3*c - i = -4. Calculate d(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 0.3, -16, 4, -4 in descending order.\nAnswer: 55, 4, 0.3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 420 - 603. Round w to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*l + p - 7, 3*p - 7 = l. Suppose 5*f - 39 = -3*b, 3*f - b + 21 = 6*f. Suppose 0 = -c + f. What is the smallest common multiple of l and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5823859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 512\/12*(0 + 3). Let v be 112\/w*6\/7. Sort -2\/19, v, -4.\nAnswer: -4, -2\/19, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 37*f**4\/6 - 33*f**3\/2 + 15*f - 1. What is the second derivative of s(q) wrt q?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/44 + 1 + 141\/165\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 3. Let w(r) be the second derivative of -r**3\/3 - 7*r**2\/2 + 22*r. Calculate -5*b(f) + 2*w(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.8 - 48. Let w = -0.01 - -5.01. Let a = w + -5.4. What is the biggest value in 0, g, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-6)*2 + 772\/1. Is j*(2 + 0 + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 2, l: 1, q: 8}. Give prob of picking 1 b and 1 p.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) 22\/91 (b) 0.406 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110103765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4668, -18662, -41984, -74634?\n\"Answer: -4664*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.234 + -0.078.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 3*v - 18, -4*v - 76 + 75 = x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7))**(10\/3)*(n**(-2\/3))**43 assuming n is positive.\nAnswer: n**(-622\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2 (b) 0 (c) -0.7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-21))\/((-15)\/70). What is the third biggest value in -4, 2\/3, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3921795 and 56\/225?\nAnswer: 19608975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 i when three letters picked without replacement from hxxxheellhexxixwxl.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*v - 195, -25*j + 30*j - 3*v = 207. Solve 27*q + j + 144 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721802659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -176*c**3 - c**2 - c + 1013619 wrt c.\nAnswer: -528*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 598968389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19816, -70, -1 in ascending order.\nAnswer: -70, -1, 19816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b - 822 = -96*b, 2*b = -4*a - 2*a + 4*a + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 11:41 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*a - 9 + 17 + 609*a.\nAnswer: 397*a + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 204433223034?\nAnswer: -204433223044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 3*d**2 + 0*d + 0*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104740.\nAnswer: 2, 5, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 23 - 3. Let q(d) = -76*d + 2. Let h be q(2). Let y be h\/(-48) - (1 - -2). Which is the biggest value? (a) y (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.978002 millennia in decades?\nAnswer: 597.8002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 10:47 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2063, 4136, 6209, 8282, 10355?\nAnswer: 12428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*(-1*sqrt(39)\/sqrt(3))**2 + 3 + 5 + 4*(sqrt(13) + sqrt(13) + (sqrt(52)\/sqrt(4))**2 + 1)*-3.\nAnswer: -147 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3)\/(k*k**2*k*k))\/(k**2)**(-3\/2))\/((k**(2\/3))**(-4\/9)*k*k*(k**(-1\/6)\/k)\/k*k*k*k*k**(5\/4)) assuming k is positive.\nAnswer: k**(-553\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23802833 a multiple of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = 7*q + 36205. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -200.\nAnswer: -200.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/80, 22, -5, 1\/6, 25?\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 368, 1467, 4046, 8849, 16620, 28103?\n\"Answer: 124*h**3 - 4*h**2 + 243*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 + 44 + (-1 - 0) + (153 - 145) + -13.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10100000100 (base 2) to base 8\nAnswer: -2404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*w**3 - 8*w**2 - 10*w**2 - 7*w**2 + 22*w**2.\nAnswer: 140*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 3*g + 2*i, 2*g + 2*i - 86616 = -86598 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 2*a + 8*r - 84, -a + 4*r = -42. Solve 19*b + a + 15 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 13*j = -24. Suppose 3*n - 3*w - 9 = 0, j*n = -3*w + 24 - 5. Suppose 3*v + 12 = -h + 4*h, n*v + 13 = h. Let p(g) = 3*g**2. What is p(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3390192 divided by 10.\nAnswer: 1695096\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(135\/(-72))*(-6)\/28. Is v less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.5, 0.3, 1, 579\/14?\nAnswer: 579\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/50380 and -24\/5723?\nAnswer: 288324740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8 - 22\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from {r: 2, s: 2, p: 5, z: 10, n: 1}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(1*7\/105)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/4 - 65755*a**2\/4 + 3226897*a\/2 + 3292650 = 0. What is a?\nAnswer: -65853, -2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - -0.5. Suppose 12 = -z + 5*j, j + 4*j = -z + 8. Sort z, 2, d.\nAnswer: z, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 11*f + 1. Let u be s(-1). Let o = -13 - u. Let h be (-6 + o)*2\/(-3). Solve y + 20 = h*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (6 + -1)) + (1 + -5 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8028, 8035, 8038, 8037?\n\"Answer: -2*c**2 + 13*c + 8017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 8) to base 2.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -174408 and -4?\nAnswer: 174404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let l be o(-6). Suppose 10*q - l*q = 2716. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 + 2\/3. Let n = -15 - -15. What is the nearest to l in 1, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*b - 2*b = 0, -4*b = 20. Let m be ((-177)\/(-36) - w)*-16. Suppose 0 + 0*x**2 + 4\/3*x - m*x**3 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 95d - -c?\nAnswer: 96a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331963 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20466 - -43305?\nAnswer: 64104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.98 + -0.02. Let l be 6\/(-42)*1\/1. Which is the closest to -1? (a) i (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {i: 3, l: 1, y: 1, j: 3, g: 3, r: 7}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5397 is divided by 1247?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(7) + -3*sqrt(7)) - (sqrt(7) - (2 + sqrt(7) - sqrt(7))*6)) + ((sqrt(84)\/sqrt(3))\/sqrt(4) - (sqrt(7) + sqrt(21)\/sqrt(3) + -2))*2)**2 + -5.\nAnswer: 160*sqrt(7) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36182*p*u**2 + 2*p*u - 180239*p + u**2 with respect to u.\nAnswer: 72364*p*u + 2*p + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 17, m: 1}. What is prob of picking 2 s?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4220*m - 69. Let f be n(5). Let k = -35899 - f. What is k rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -430 - -430.000072. Let c = 0.1 - 0.1. Let s = c + h. What is s rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.62 (b) -3117 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (229*w + 38*w + 374*w + 188*w)*(0*w + 0*w - 2*w) to d*w**2 + p + m*w and give d.\nAnswer: -1658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 10:02 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185645 is divided by 61636?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q - 2*q - 11 + 3 + 26*q. Let s be a(6). Let u(l) = l**3 + 7*l**2 + 5*l + 8. Let w be u(-6). What is the greatest common divisor of w and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 3*u**2 + 2*u - 3. Suppose -10*r + 10 = -5*r. Suppose 0*s + 2*s - 6 = -4*w, -r*s = w + 3. Determine l(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12950 and 518.\nAnswer: 12950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 72*n**3 + 3*n**2 - 6*n + 5. Give h(1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*d - 99*d - 2562 = 336 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (9174 + -79 - (3 + 1))*13 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 24. Let l be 2\/(-4)*2*y. Let j = -33\/7 + 5. Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 4 + 0 + 2*n + (-n - n + 5*n)*(3 + 1 - 3) + (26 + 15 - 14)*(2 - 2 + n).\nAnswer: 32*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 17. Give f(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -7. Suppose 0 = 2*j + 2*p + 2, -2*j = -b*j - p - 10. Let m be (3\/9)\/(j\/9). Is m > 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231.6684 hours to milliseconds.\nAnswer: 834006240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 21*a**3 - 2*a**2 - a. Let y be q(2). Suppose 4*w - p = -6*p - y, -5*w - 204 = 3*p. Find the common denominator of ((-122)\/w)\/(18\/21) and 29\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7396547 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 54*4\/16*(-27)\/((-189)\/14)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-12)\/36)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**4 + k**2 - 2*k**4 + 2*k**4 - 2*k**3 + 2*k to the form f*k**2 + p*k**4 + i*k + o*k**3 + c and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - 6*l - 5*l + l in the form d*l + q and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 + 559*b**2\/2 - b\/4 - 559\/2.\nAnswer: (b - 1)*(b + 1)*(b + 1118)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 10 = 0, -2015*c + 2011*c + r + 31 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/6 and -89\/24582132.\nAnswer: 24582132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/8 + 19321*t\/4 = 0.\nAnswer: -38642, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -6771\nAnswer: 2\/6771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.6488 to one decimal place.\nAnswer: 73.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*j - j. Let d = j - -9. Solve -2*u = -2*f + 16, -2*f - 2*u = -u - d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 67*a + 570. Let g be u(-57). Put 59, 2, g, -2, 3 in increasing order.\nAnswer: -2, g, 2, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 6*f + 6. Let q be j(5). Let t = -1 - q. Let g be (-112)\/16 + -1 + 8. Sort t, 4, g in descending order.\nAnswer: 4, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - ((22 - (-2 + -2)) + 2)) + 8\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 1, g: 1}. What is prob of sequence gln?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*s = 4, -95*q - 2*s + 10 = -171*q + 71*q + 2*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 216\/2*(-4)\/8. Let z be 10\/117 - 12\/s. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/11960670 and 49\/34685943.\nAnswer: 346859430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v**3 + 11*v**2 - 30*v - 36. Let s(o) = -11*o**3 - 12*o**2 + 29*o + 35. Let x(p) = 5*a(p) + 4*s(p). Factor x(h).\nAnswer: (h - 4)*(h + 1)*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*w**3 + 20*w**3 + 28*w**3.\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1289 - -1288.1638. Let u = m - -0.774. Round u to three dps.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3 + 89*m**2 + 344*m + 340 = 0. What is m?\nAnswer: -85, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q + 22229 - 28029 = 0. Put 12, 0, q in descending order.\nAnswer: q, 12, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2 - 7857*m - 6008418 = 0.\nAnswer: -702, 8559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 9:41 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 418775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1055*l**3 + 7667*l**2?\nAnswer: -6330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0)\/h**26 assuming h is positive.\nAnswer: h**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4078 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 8*h + 3. Let i be k(8). Let d be i\/2 + (-13)\/(-2). What are the prime factors of ((-28)\/d)\/(2\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/8 + (-1)\/(-4). Suppose 4 = -5*u + 29. Let p(k) = -u*k**2 + 2*k**2 + 1 + 0*k**2. What is p(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 1)*(62*c - 77*c - 91*c)*(1 - 1 + 1 - 4 + 4 - 2 + (-5 + 1 + 3)*(2 - 3 - 1)) + 2*c + 0*c - c.\nAnswer: 107*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -329019 or -329017?\nAnswer: -329017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1440570969?\nAnswer: 3, 29, 5519429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3095 + 3095.03. What is the fourth smallest value in o, 4, -2\/11, -0.039?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1314.2 + -3264. Round q to the nearest ten.\nAnswer: -1950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 2. Let f = -6 - p. Calculate the lowest common multiple of f and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -946 or -843?\nAnswer: -843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1426, -5673, -12736, -22603, -35262, -50701, -68908?\n\"Answer: 2*n**3 - 1420*n**2 - n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - c)*(4*c**4 - 5*c**4 - 4*c**4) + (3 - 3 + 3*c**3)*(-4*c**2 + 3*c**2 - c**2) - 450*c**5 - 2131*c**5 + 447*c**5.\nAnswer: -2150*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2903166 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -11*d**4 + 45*d**3 + 19*d**4 - 49*d**3 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -79*p + 9961. Is f(-73) a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*g**4 - 5*g**3 + 99.\nAnswer: 28*g**3 - 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -5. Let y(m) = 786*m - 5502. Let g be y(7). Sort 2, g, j, 15 in ascending order.\nAnswer: g, 2, j, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -658, -1278, -1858, -2398?\nAnswer: -2898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 5*d + 4. Let g be b(3). Let r = g + -20. Which is bigger: r or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f + 2*f)*(1 - 2*f - 1) + f**2 - f**2 - 3*f**2 + (4*f + 2*f - 5*f + (-3 + 2*f + 3)*(-1 + 2 - 2))*(f - 2*f - f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 13. Calculate i(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. Let r(s) = s**2 + s + 26. Let a(u) = -3*u**2 - 3*u - 91. Let k(h) = 2*a(h) + 7*r(h). What is k(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72500000 to the nearest one million.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.069393 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-19)\/(456\/(-48)))\/(-2))\/(28\/296).\nAnswer: -74\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-4403)\/(-296)))\/((-4)\/(-34))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**7\/1260 - 11*j**4\/4 + 9*j - 4. Let o(i) be the third derivative of c(i). Let q(h) = 1 - 1 - 3*h + 9*h. What is o(q(d))?\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 6) to base 13\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*m + 29*m - 89 + 340.\nAnswer: -2*m + 251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9231)\/(-10860))\/(16\/(-160)*20\/48).\nAnswer: -102\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 145 (b) -5 (c) -32 (d) 1\/3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 814, 1611, 2408?\n\"Answer: 797*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 - (30 + 129 + -11).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/((q**(-1\/2)*q)\/q)))**18\/(q**2)**(-29)*q\/(q\/(q**8*q)*q)*q*q**(-7)*(q*q*((q\/q**(-2\/5))\/q)\/q)**37 assuming q is positive.\nAnswer: q**(604\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37260.003*1.\nAnswer: -37260.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155.9027 + -0.1027. Let d = l - 8.8. Let s = -146.933 + d. Round s to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3 + 19498*v**2 + 410432*v - 898840 = 0. What is v?\nAnswer: -23, 2, 9770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 21, 1, -34.\nAnswer: -34, -1, 1, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 7*r**3\/2 + 57*r + 38. Let d(y) = -424*y. Calculate t(d(p)).\nAnswer: -8904*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46514?\nAnswer: 2, 13, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z + 3. Let h be g(5). Let t = h - -21. Let b = -11 - -18. What is the least common multiple of t and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 8*f + 22. Suppose 0*d = 4*o + d + 63, 0 = 5*o + d + 79. Let z be y(o). Let c = -90 + z. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*l + 12*l**2 - 9*l - 14*l**2 as z*l + f*l**2 + p and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 717967 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207*w**3 + 217*w**4 - 6*w**2 + 188*w**3 - 273*w**4 to the form a*w**2 + l*w + o*w**3 + s*w**4 + v and give s.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -24 + 23 + (-4)\/(-2). Solve -3 = -4*c + f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 11:57 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m - 12*m - 15*m - 249*m**2 + 34*m as t + g*m + k*m**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/4*4\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1701 - 0.0172134?\nAnswer: -0.1873134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -130*x - 5833. Determine n(-45).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379 = -v - 9. Calculate the highest common divisor of v and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - c + 10. Let l be w(0). Let f be 4\/10 + (-24)\/l. Let h(m) = 6*m**2 + 2*m. What is the remainder when 59 is divided by h(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + r - 3. Let c = -277 + 314. Suppose -c = 13*a - 11. Give b(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110100 (base 8) in base 12?\nAnswer: -19454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t + 13. Suppose 6 = -4*f + w, -799*w + 801*w = -5*f - 14. Determine o(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, 3, 3\/7, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + (sqrt(143) - (sqrt(143) - (sqrt(143)*-4*-4 - sqrt(143)))) + sqrt(143) + -3*1*sqrt(143))\/(((sqrt(176)*-2 + sqrt(176))*1)\/sqrt(4)).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 208 = -12*o. Suppose -2*p = 2*i - o, p - 4*i - 15 + 7 = 0. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 8:16 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33420 - 63?\nAnswer: 33357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 11 + 10*x - 10*x - 2*x**2.\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -676 - -680. Does 11 divide t\/(48\/(-939))*(-88)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**2 - 90*h + 405 = 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 92286183*v**3 - 92286191*v**3 - 3*v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 21) + 11 + 4 - (23 - 2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**3 + 9*q**5 + 4*q**3 - q**5 - 4*q**5 + 3*q**5 + (2*q**2 + q**2 - 5*q**2)*(q**3 + q - q) + 0*q**2 + 0*q**2 + 2*q**5.\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 867756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 75. Suppose z = -k - 3*k. Let a(b) be the first derivative of -4*b**2 + 2*b + 31. Let m(u) = u. Determine k*m(q) - a(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = 726664 - 230504. Round c to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -139*i**3*t**2 - 386*i**3 + i**2*t**2 wrt t?\nAnswer: -278*i**3*t + 2*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.406242 decades?\nAnswer: 0.8406242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19902 divided by 2?\nAnswer: -9951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 + j**3 + 0*j**3 + (-2 + 6 - 2)*(-53*j**3 + 3*j**3 - 64*j**3).\nAnswer: -227*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/194 and -49\/159?\nAnswer: 30846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from xzezxzrxexvrxwrxxxe.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/231800 and -149\/14820?\nAnswer: 9040200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3))**(-48)\/(a\/((a*a*(a\/(a**(2\/3)\/a))\/a)\/a))**9 assuming a is positive.\nAnswer: a**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/165)\/(4\/3*14\/1008)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1386930, 2774067, 4161204, 5548341?\nAnswer: 6935478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 9.5. Let v = l + 1.5. Let q = v - 4.2. Sort -3\/7, q, -1 in decreasing order.\nAnswer: q, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 952486112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -14*6\/60.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 12:53 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 10 = s - 3*n, 2*s + 3*n - 4 = 0. Let m(i) = i**3 - 2*i**2 - 4*i + 7. Let r be m(s). Let y be ((-12)\/(-30))\/((-26)\/20). Is r at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -83*x - 80*x + 2212 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 7*r**2\/2 + 9*r - 1. Let g(p) = -p**3 - 11*p**2 + 11*p - 6. Let d be g(-12). Let n(t) = 4*t + 5. Give d*u(h) - 11*n(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76085860*k**2 + 67273373 with respect to k.\nAnswer: 152171720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 859019400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(800) + sqrt(800))*5 - (1*sqrt(800)*-6 + sqrt(800)))\/((-1*sqrt(80)*5)\/((1*sqrt(24))\/sqrt(3))) + 5.\nAnswer: -4*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 20 = 11*v. Let w(t) = 20*t**2 + 6*t - 6. Let l be w(v). Suppose 0 = -d - 6*r + 4*r + 144, -4*r = 5*d - l. List the prime factors of d.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 43. Let z be x(18). Suppose -99 = -5*n - y, z*n - 4*y - 44 = 5*n. What is the least common multiple of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(9*n + 45*n**4 - 6*n - 4*n) as j*n + r + z*n**4 + k*n**3 + q*n**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000575315 to 6 decimal places.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -32. Solve -3*v - f + 9 = 20, -s = -5*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -227*k**4 + k**2 + 227*k**4 + 343*k**5 + (k**2 - 2*k**3 - k**2)*(k**2 + 2*k - 2*k).\nAnswer: 341*k**5 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -151174 + -2057?\nAnswer: -153242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9 + 5 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l + 3. Let p be r(4). Suppose 0 = p*q - 0*q. Sort 0.4, -0.3, q, 0.2.\nAnswer: -0.3, q, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6460899 rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229898*u + 9678 - 1760 = 229824*u for u.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -50, -101, -178, -287, -434, -625, -866?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6624\/(-920)*(-4)\/6*5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1268 and 998.\nAnswer: 632732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -10, -970, 0.5, -7.5, -3, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + -2)*-6 + 4 + sqrt(125)*1.\nAnswer: -61*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4*0)\/2. Suppose j = -8*l + 4*l. Let s = 1232.3 - 1232. Which is the biggest value? (a) s (b) l (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10918142, 21836357, 32754572, 43672787?\n\"Answer: 10918215*d - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 31*u**2 - 5*u + 24. Let a(f) = 49*f**2 - 45*f**2 + 2*f - 21*f**2 - 12. Let m(w) = -11*a(w) - 6*y(w). Determine m(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000038695518 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 13 = -11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -56*y - 1798. Let u be z(-32). Let a(l) = 18*l**3 + 6*l. Let p(i) = 18*i**3 + 7*i. What is u*p(k) + 7*a(k)?\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k - 145 - 791. Let w = k + 167. Suppose -2*s + 5*t - 3 = 0, -20 = -2*t - 2*t. What is the remainder when w is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 + 9*j**3 + 13*j**3.\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2511 or 2521?\nAnswer: 2511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5336532635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3. Let g(b) = -2*b**3 + 7*b**2 + 3*b - 3. Let z(f) = -g(f) + 4*y(f). Let o(c) = -3*c**3 - 8*c**2 - 4*c + 4. What is -3*o(s) + 4*z(s)?\nAnswer: s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/8 - 6\/4. Let g be (6 + 2)\/(j\/(-4)). Suppose -5*f = g + 14. Let z(v) = v**2 + 1. Let s(b) = 3*b**2 + 3. Calculate f*s(m) + 17*z(m).\nAnswer: -m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*m*p**2 + 87*i**2*p**3 - 2*i*m*p**3 - 2*m*p**3 + 18*m*p wrt i?\nAnswer: -4*m*p**2 + 174*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6053?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 39 + 1460*c + 36 + 31 - 1457*c. Calculate j(-36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/22 and -161\/90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4*d = 12, -81*h + 79*h - 12 = -4*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 m, and 2 p when four letters picked without replacement from pppmy?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 63 = 48. Suppose 0 = 4*b + 4, 4*h - 108 = h + g*b. Solve 3*q - 4*k + h = -2*q, 5*q = -5*k + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 - -3367. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, g: 2}. What is prob of sequence egge?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccggccc. Give prob of sequence cgg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1061503.1436511 take away -20?\nAnswer: -1061483.1436511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 328, 557, 480, 103, -568?\n\"Answer: s**3 - 159*s**2 + 699*s - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, d: 2, b: 2, u: 1, o: 1}. What is prob of picking 1 d and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1620, 0.5, -1\/11, 5, -8.\nAnswer: -8, -1\/11, 0.5, 5, 6, 1620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-3 + 0 - (-12 + 13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = 3*x. Let o(a) = -5*a - 1. What is the lowest common multiple of o(x) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + -3*sqrt(13) + 2)**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-27))\/((-75)\/(255150\/(-4662))).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Suppose -4*t - 5*g + 14 + 2 = 0, 5*g - 18 = -l*t. Does 5 divide (t - -5)*15\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h - 5. Let x(m) = -5*m - 8. Determine 8*i(t) - 5*x(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -18*o + 39. Let x be w(2). Let u(d) be the third derivative of -d**6\/120 + d**5\/60 + d**4\/8 - d**3\/6 + d**2. What is u(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5701.0617 seconds?\nAnswer: 1.58362825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.5588 - 9.6588. Let v = -3 + 3.16. What is the nearest to q in 5, -1\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*u - 6*u, 4 = -4*g - 5*u. What is the second smallest value in 0, -1, 2, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -10\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 1221302?\nAnswer: -1221320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 bigger than -139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 484*w + 85. Let p be y(14). Suppose 12*o = 22773 - p. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -369*g - 1486 + 290 - 5815 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 3:54 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/16 and 103\/250.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 26. What is the common denominator of 647\/(-14) - (-6)\/(-21) and 8\/m - -2*(-149)\/(-280)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*q + 6, 0*q = 4*q - c - 3. Suppose q*i + 2*i = 4*z + 36, 20 = 4*i. Let l(u) = u**3 + 11*u**2 + 16*u + 55. Let y be l(-10). Is y != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*(-24)\/(-132)*1\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/(-570) - (-1968)\/(-3960)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0531 - -3.2369. Let y = n + 0.71. Let r = -0.06 + 3.06. Put -1, r, y in ascending order.\nAnswer: -1, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-11 + 4\/6*21870\/(-1890))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13142550 (base 6) to base 15\nAnswer: -886a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -325*o**2 + 325*o**2 + 24*o**3 + (-2*o**2 + o**2 + 3*o**2)*(3 - 3 + o) + (1 + 2*o**3 - 1)*(-3 + 7 - 2).\nAnswer: 30*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399, -430, -463, -498, -535?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 537, 1179, 2071, 3213, 4605?\nAnswer: 6247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -12*b**2. Let v(o) be the first derivative of o - 21. Let p(l) = 2*l - 6. Let g(m) = p(m) + 6*v(m). What is g(z(c))?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + o + 3 = -14*u, -7*o + 4*o - 31 = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 2. List the prime factors of 6 + -2 + (-24)\/r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 192271*a + 2114879. What is x(-11)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-44))\/(2\/(-2))*132\/(-18)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c - -4c?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -3. Let j(t) = 3*t**2 + 1. Let m(z) = z**3 + z**2 - 1. Give v*m(p) - j(p).\nAnswer: -p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 9*x**2 - 7*x + 161. Give w(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*u - 35. Let p(o) = 20 + o**2 + 12*o - u + 0*o**2. What is the units digit of p(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r. Let d(l) be the first derivative of -3*l**4 + l**2 + 6*l - 157. Let m(z) be the second derivative of d(z). Calculate x(m(a)).\nAnswer: -144*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 4*f)*(-3 - 10 - 37)*(-5*f + 4*f - 12*f) as u*f**2 + m + z*f and give u.\nAnswer: -2600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101221*k - 4383*k**3 - 2*k**2 - 5143*k**3 - 101224*k to the form x*k + p*k**2 + a*k**3 + g and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 362 = 147*l, 0 = 2*l - c + 47 - 34 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464 - 572 = -27*x. Suppose 5*w + t - 12 = -0*t, -5*w + 18 = -t. Let b(i) = -3*i - 1 - 5*i**2 + 2*i**2 + 4 + i**w + 0*i**2. Determine b(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a - 8. Let z(o) = o - 3. Let w(u) = 3*k(u) - 8*z(u). Let g(l) be the second derivative of 2*l**3\/3 + 2*l. What is g(w(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - 14 - -9 - (-86)\/(-40). Let v = 35\/92 + -3\/23. What is the nearest to 1\/3 in v, q, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from ssesssessssssssssss.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/40432 and 23\/456?\nAnswer: 121296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1225*j - 2143*j + 1609*j + 1955*j + 2096*j.\nAnswer: 4742*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110 + 110. Solve 18 = 6*z - x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -142 at most as big as -1135\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-243)*9 + 4\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4589 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3117926?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 104786656 and -2.\nAnswer: -209573312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ered when four letters picked without replacement from {d: 8, g: 1, r: 6, e: 1, n: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -764 or -159497?\nAnswer: -764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.064 + 0.027. Let t = 4.091 - m. Sort t, -1\/4, 1, 22 in increasing order.\nAnswer: -1\/4, 1, t, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3 + r - 3 - 11. Let q(m) = m - 59. Let o(j) = -j + 30. Let d(k) = -5*o(k) - 2*q(k). Let p(a) = 6*d(a) - 17*g(a). Give p(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + t**2 - 2*t - 96. What is s(0)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3774 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2115 + 0*c**2 - 4211 + 4*c**2 + 2109 + 4*c to n*c**2 + q + g*c and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (92 - 37*w**2 - 92 - 119*w**2)*(1 - 2 - 2*w**2 - w**2) in the form j + l*w**4 + t*w + i*w**3 + k*w**2 and give l.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1227*x + 818*x - 49556 = -165211 - 49990 for x.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1c2 (base 15) to base 5\nAnswer: -3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x. Let v(f) = -7*f**2 + 19*f**2 + 147 - 147. Determine g(v(d)).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/((s\/s**7)\/s))\/s)\/(s*(s\/s**2)\/s))**3\/((s**1)**25)**(-7) assuming s is positive.\nAnswer: s**202","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2*4\/28)\/(1408\/182336)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggx when three letters picked without replacement from {g: 3, u: 1, x: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 8*x**2 - 34*x - 154. Let i be l(12). Which is smaller: 139\/10 or i?\nAnswer: 139\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 1. Let i(n) = 143*n + 11. Let h(d) = -i(d) - o(d). Differentiate h(g) wrt g.\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 12}. What is prob of sequence bq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgggmgggmgggmggmmgm. Give prob of picking 2 g.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1848*a**2 - 1686*a**2 + 3315*a**2)*(-2 - 1 - 3) as r*a**2 + k + b*a and give r.\nAnswer: 1314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39, 4\/7, 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 20. Suppose -g*x + 6 = 3*x. Let f = -5 - -7. Calculate the greatest common divisor of f and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**1)**(-8\/13)\/((a\/a**(-1\/8))\/(a**2\/a)) assuming a is positive.\nAnswer: a**(-205\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-735)\/(-715) - 2\/(-11). Let h = 975\/4 + -247. Let s = h + 3. Which is the closest to s? (a) 0.4 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -182603*v + 1460808. Calculate x(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 190 - 211. Solve a*q - 2 - 10 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3192017 + -7.34503.\nAnswer: -3192024.34503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 17*o + 15 = 0. Let v be (-6)\/15 + 2\/o. Which is bigger: v or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -133*r + 7852. Let g be x(59). Solve -3*c + l = 25, 2*c - 6*l + 18 = -g*l for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1328164?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015606618 to 6 dps.\nAnswer: 0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -171, -339, -507, -675, -843?\n\"Answer: -168*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-90)\/(-5))\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11734504 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3445357891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 744\/(-2702) + (-18)\/(-63). Let r = s + -207\/1351. What is the common denominator of -19 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, f: 8, j: 2}. What is prob of sequence ffx?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, 1, 0.1, 1\/8 in increasing order.\nAnswer: 0.1, 1\/8, 1, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 427*c = -429*c - 13, 5*t - 10*c = -35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11\/25 + 46\/275. What is the nearest to y in -1, 2\/29, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29417206 a multiple of 1222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*k**3 - 4*k**3 - 1 + k**3 in the form h + g*k + p*k**2 + u*k**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1077 (base 13) to base 5\nAnswer: 33140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m. Let i be y(3). Suppose -5*w - i = -42. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s = -4 - 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -38?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 14 = h, -5*s - 12 = 2*h + 13. Suppose 0*u - u = -7. Let g(z) = -9*z + 2*z**2 + u*z - 3*z**2 - 4. Give g(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/67680 and -97\/15912?\nAnswer: 14957280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 294589 and 57.\nAnswer: 16791573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58179?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58127.1 micrograms to nanograms.\nAnswer: 58127100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 11) to base 12\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -24, -8, 1, 4 in descending order.\nAnswer: 4, 1, 0, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 + -65. Suppose -f*h + 5 + 10 = 5*s, -2*h + 4*s + 14 = 0. Is (h\/15)\/((-2)\/12) + 361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 + 0*r**2 + 0*r**2 + (61*r + 178*r - 58*r)*(-1 + 0*r**2 - 2*r**2 - r**3 + 4*r**2) to s*r + p + v*r**3 + x*r**4 + i*r**2 and give x.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12994 + 12996. Let j be 1\/3 + 1\/(-21). What is the second smallest value in y, -0.2, 0.54, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*a*o*s**2*w - 2*a*o*s*w - 2*a*o*s + 11*a*s**2*w - 5259*a*w - 500*o*s**2*w + 7*s*w + 2*s + 2*w wrt s.\nAnswer: 144*a*o*w + 22*a*w - 1000*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -3, 15, 51, 111?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1319*o + 557945. Give c(423).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/13 + 2094*y**3\/13 + 6320*y**2\/13 - 21000*y\/13 = 0. What is y?\nAnswer: -5, 0, 2, 1050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 10 + 14. Solve f = -f - 3*p + v, 5*f + 5*p - 15 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**2. Let g be d(-2). Let p = -196 - -336. What is the highest common factor of p and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*1\/12 + 0)*-4. Let r = -3 - -2. Let o = v + r. Which is greater: o or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -2\/7, -3\/7, -30?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/5*(-15)\/9. Sort -4, 8, j in decreasing order.\nAnswer: 8, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-4)\/(-24))\/(-33).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4937, -19881, -44783, -79637, -124437, -179177, -243851?\n\"Answer: z**3 - 4985*z**2 + 4*z + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 - 150 = s. Calculate the remainder when s is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8693325496 - -23.\nAnswer: -8693325473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 4, -131\/2, 0.3, -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 606862934 to the power of 1\/2, to the nearest integer?\nAnswer: 24635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -125, -87, -2, 78, 7 in ascending order.\nAnswer: -125, -87, -2, 7, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 5 + 1)*(s**2 - 3 + 3)*(-4 + 8 - 6).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010727302 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 154. Is -1 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 5961?\nAnswer: 2980.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -12248*g**2 - 1788205*g + 427. Give r(-146).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/19180 and 17\/2389828?\nAnswer: 11949140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3}. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -233, -242, -251, -260, -269?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -20, -32, -44?\n\"Answer: -12*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 124558774?\nAnswer: -124558767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 11*u**2 + u + 11. Let y be l(-11). Solve -h + 3 = -0*h, 3*g - 4*h + 27 = y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c. Let d(r) be the second derivative of -5*r**3\/6 - 2*r - 25. Calculate -d(i) + 6*u(i).\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -15.96884?\nAnswer: -16.96884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 1\/3, 0.4, -0.3, 2, 902?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(80))**2 + 3)*-3.\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3 = -2*n, -n = 2*p - 8 + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 - 48. Solve y + 4*t = 3*y - c, -t = 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117 divided by 117\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 3*o. Suppose 5*s - v = 5, -2*v + v = s - 1. Let c = s - 0. Suppose -2*p - 3*d - 4 = 1, 4*p + 3*d = -c. What is w(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5481 to 2 dps.\nAnswer: 2.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -107. What is the remainder when 68 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 10, 2, -555, -71 in descending order.\nAnswer: 10, 2, -10, -71, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 18*q**2. Let f(t) = 12*t - 1. Let g(y) = -98*y - 7. Let r(i) = 8*f(i) + g(i). What is k(r(s))?\nAnswer: 72*s**2 + 1080*s + 4050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -467*l - 977*l - 776*l - 391*l + 1 to the form h + i*l and give i.\nAnswer: -2611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 117\/6*(-90)\/65\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 7450\/6601 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from wsjwnkpkjkkjk.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -305*q - 5660. Let n be w(-19). Calculate the greatest common divisor of n and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmmemmemmeczmesmzm. Give prob of picking 1 s and 3 e.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 12*d**2 + 18242*d + 236975. Calculate a(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -847 + 1670 - 2224*v**2 - 822 + 6297*v**3 wrt v?\nAnswer: 37782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*z - 2*z**2 - 18*z + 3 + z**2 + (-4*z + 2*z + 3*z)*(-8 + 8 - z) in the form g + s*z**2 + u*z and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4972 = h + 4*h - 2*i, -2012 = -2*h - 5*i. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1867941.29 and -1?\nAnswer: 1867941.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -279 or 4\/263?\nAnswer: -279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/12 - -3 - (-13)\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -68 + 4662?\nAnswer: 45fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 966 + -977. Let b(d) = 5*d**3 + 14*d**2 - 11*d + 11. Let o(a) = -a**3 - 3*a**2 + 2*a - 2. What is y*o(l) - 2*b(l)?\nAnswer: l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*c + 601 = 9*c - 2636. Solve -c + 81 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2 - 1. Let j be (-11)\/55*(5 + 0). Let w be (j\/(-3))\/((-1 - -5)\/(-24)). What is v(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*h - 250 = -38*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 9*w + 2. Suppose z = -2*z + 27. Let f be n(z). Differentiate -3 + f*l - l + 4 wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -61*(-4 - -3) - -4. Let x = -34 + b. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/3 + (-184741)\/(-111)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*x**2 - 187*x**3 - 203*x + 1078*x - x**2 + 10*x**3 + 43*x**3 wrt x?\nAnswer: -804*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 9*r**2 + r - 4. Calculate y(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1ce (base 16) to base 12\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 165880 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*i**4 - i**3 - 17*i + 3?\nAnswer: -228*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 6*n - 17. Suppose 468 = n*f - 72. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3 + 858*n**2 + 855*n = 0.\nAnswer: -285, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 47*r. Let w(h) = 189*h + 5 - 1 - 7 + 4. Let p(l) = 9*n(l) - 2*w(l). Is p(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.3 and -4?\nAnswer: -29.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1257.7 + -1696. Let y = h + 438. Which is the second smallest value? (a) -4 (b) -17 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 14. Let s(r) = -r - m + r - 4*r. Let q(i) = 7*i + 13. Give -6*q(f) - 11*s(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*s = -102, 3*v - 16*s + 18*s - 103 = 0. Suppose -x - x + 140 = 0. Suppose -32 - x = -n. Calculate the remainder when n is divided by v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-12))\/(2\/(-3)). Let g(w) = -4*w**2 + y*w**2 + 0*w**2 - w**2. Let k(x) = 3*x. What is k(g(m))?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -21002001?\nAnswer: 21002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64855 is divided by 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/18? (a) -1\/2 (b) 1 (c) -45\/8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1206, -1165, -1096, -999, -874?\n\"Answer: 14*v**2 - v - 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*s**5 + 21957*s**4 - 14238740*s**3 - 4856570384*s**2 - 6224662080*s - 1382352400 = 0. Calculate s.\nAnswer: -242, -1, -2\/7, 1690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.821 greater than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*f - 8 - 9 = 0, -2*c - 3*f = -19. Suppose c*s + 2*s = 120. Suppose -3*m + s = -m. What is the remainder when 41 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1670054 and 10190160?\nAnswer: 601219440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4154, 4156, 4158?\n\"Answer: 2*u + 4152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v - 20. Let i(o) = 8*o + 43. Let k(a) = -4*i(a) - 9*m(a). Let d(g) = 9*g + 17. Give -6*d(s) + 13*k(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100 + 100?\nAnswer: 1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -11*f - 2. Let l(p) be the second derivative of -p**3\/6 - 5*p**2 - 3*p. Let d be l(-9). Let w be z(d). Solve -w = u + 4*h - 0*h, h - 9 = -4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198 * 1\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -35948181940051.\nAnswer: 35948181940051.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.035 - -0.695. Let v = o + -0.16. Let j be (-3)\/((-6)\/(-8) - 387\/12). Which is the second smallest value? (a) j (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -64562*m - 19 + 129118*m - 64572*m - 3*m**2. Calculate w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -4*w - 4*d, 14*d - 11*d + 37 = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**3 - z**2 + 6*z - 1. Let g(q) = 16*q**3 + 213*q**2 - 36*q + 4. Give 6*b(p) + g(p).\nAnswer: -2*p**3 + 207*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x. Let f(w) = 4*w + 0*w - 4*w + w**2. What is d(f(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 13*p**2 - 4*p - 2. Let w be o(-13). Suppose 15*g - w = 13*g. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*q + 4 - 3, 4*u - 6 = -5*q. Is (-7 + 3 + -467)*(q - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -491, -493, -495, -497, -499?\n\"Answer: -2*o - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*s**3 + 51*s**3 - 56*s**3)*(56 + 2 + 51 - 7 - 18).\nAnswer: 3192*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95\/3 + -32. Let j = 1.6 - 7.6. Let t = j + 3. What is the smallest value in t, 1\/3, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (sqrt(136) - 2*sqrt(136)))\/sqrt(8) + -2 + sqrt(272).\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -919 at most as big as -922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38)\/15*(-18)\/(-12). Let t = -4 - j. What is the third biggest value in t, 0.3, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a - 6 = 0. Let h be (1 - 2) + (2 - 0). Let z be (3\/(-1))\/(h - 2). Solve -a*j = -z*t - 6, 4*t + 14 = 5*j + 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*f**3 - 7*b*f + 9*b wrt f.\nAnswer: -6*b*f**2 - 7*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*h**2 + 3*h**3 - 6 - 9 - 89*h**2 + 11 - 4*h**3 + 3*h**4 as p*h**2 + o*h + u + y*h**3 + z*h**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -1, 47, 3, -3 in decreasing order.\nAnswer: 47, 3, -1, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. Let h(p) = -5 + 2 + 2 - 3*p. Give h(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g**3 + 27*g**2 - 31*g + 20. Let d(h) = -3*h**3 - 13*h**2 + 15*h - 10. Let x(w) = -5*d(w) - 2*t(w). Is 14 a factor of x(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2097 and 109743?\nAnswer: 329229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 20. Which is the closest to -0.1? (a) -0.9 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 13650?\nAnswer: -13653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 45\/12 + 2\/8. Suppose c*t - 7*t = 0. Solve t = 5*j - b + 12, 2*j + 7 = -b - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Let c = -12 - -8. Let j = 404\/7 - 58. What is the second biggest value in r, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-352)\/40 - (-8)\/10. Let i(j) = j**3 + 8*j**2 + j + 8. Let c be i(d). Solve c = 3*o - 8*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21001 (base 5) to base 7\nAnswer: -4004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 1, x: 2, r: 1}. What is prob of sequence brl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1383 + -0.4383. What is the smallest value in -13, k, -0.4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -33 (b) 16 (c) 1\/3 (d) -1.1 (e) -3 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g**2 - 24020955*g + 24020955*g.\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {y: 14, f: 5}.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -98*t + 90*t. Let n = 15 + -22. List the prime factors of 191\/7 - t\/n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/((-1)\/1 - (-9)\/(-9))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a541 (base 11) to base 7.\nAnswer: 55462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 + 15*a**2 - 10*a + 22. Calculate s(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6467.\nAnswer: 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777767 is divided by 45.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -112, -220, -324, -424?\n\"Answer: 2*s**2 - 114*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**4\/12 - 5*d**3\/6 + 3*d**2\/2 + 2*d. Let w be h(-5). Find the second derivative of w*f - f + 2*f**4 - f**4 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 1\/10*t**6 + 0 + 0*t**5 + 1\/2*t**3 + 0*t**2 + 0*t**4 - 3*t. Find the second derivative of d(j) wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Let f(z) = -48*z**2 - 1. Calculate a(f(n)).\nAnswer: 48*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*(-1 - 2)*4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1360 (base 7) to base 4.\nAnswer: -20110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 - 16*c**5 - 6*c**5 + (1 + 7 - 3)*(-3*c**5 + 5*c**5 - 4*c**5) + c**4 - 3*c**4 + 5*c**5 + 0*c**4.\nAnswer: -28*c**5 - 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 3*r - 30. Let k(o) = -2*o**2 + 7*o - 60. What is 3*k(b) - 7*m(b)?\nAnswer: b**2 + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 + 67 - 183 - 29*x**3 + 6*x + 56 - 2*x to f*x**2 + y*x + u*x**3 + m and give u.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59393.982 + -59445. Let u = -0.018 - y. Let i = -50.999979 + u. Round i to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648*m**2 - 268*m**2 - 186*m**2.\nAnswer: -1102*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 5\/6*l**3 + 0*l + 11\/8*l**4 + 2\/5*l**5 + 3 - 1\/2*l**2. Let y(c) = 0. Calculate c.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q - 9. Let x(j) = -2*j + 5. Calculate 3*m(b) + 5*x(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 6 + 3)*(5*n - 3*n - 3*n) - 8 + 3 - 2*n + 4 to the form u*n + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - p = -3, 0*p = -4*b + 2*p + 12. Find the second derivative of -4*f - 2*f**5 - 95*f**b - 16*f**5 + 95*f**3 wrt f.\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/54 and 25\/14?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-12))\/((-3)\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1211?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -123 - 0.1\nAnswer: -123.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2127722 plus -0.19?\nAnswer: -2127722.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.76 in -5, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**20\/(a**(2\/7)*a) assuming a is positive.\nAnswer: a**(131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14+-2341\nAnswer: -2327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(243) + (sqrt(243) - (sqrt(243) + sqrt(243) + 0 + sqrt(243) + 3)) - (-2 + sqrt(243))*1 - (2*(-4 + sqrt(243) - sqrt(243)) + 4))**2 + 2.\nAnswer: -108*sqrt(3) + 983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 23 = 10*m - 4*n, -35 = -5*m - 4*n. Which is the third smallest value? (a) 0.6 (b) m (c) -0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 39*v - 36*v, 667 = 2*w + 5*v. Let u = -332 + w. Solve -u*x = -4*o - 3*x + 7, 0 = 4*o + 4*x - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*l - 9199985, 4*y - 2*y + 18399985 = -3*l. Round y to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 377406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**4\/3 - 5*g**3\/2 + 26*g**2. Find the first derivative of y(j) wrt j.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5541 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(7\/(105\/(-10))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2421451560?\nAnswer: 2, 3, 5, 11, 1834433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 5\/3*s**3 + 8*s**2 + 6*s - 60. What is the second derivative of f(x) wrt x?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 + 196 = 5*s + 4*u, 48 = -4*s - 2*u for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/16)\/(41\/(-123))*-4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 16*d + 252. Let r(i) = -23*i - 378. Determine -5*r(k) - 7*u(k).\nAnswer: 3*k + 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -2\/3*o**3 - 2*o**2 + 0*o - 21. Suppose -2*h = -0 + 8. Determine f(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110)\/sqrt(5) - sqrt(22))*-4 + sqrt(22))\/((sqrt(11) + sqrt(176))*6) + 1 + 3)**2.\nAnswer: 4*sqrt(2)\/15 + 7201\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 8*l. Let c(a) = -14*a + 7 - 7 - a**2 + 11. Let s be c(-4). Suppose 4*f - s = -15. Calculate i(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142793853?\nAnswer: 3, 1063, 44777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -499503700 divided by 53150.\nAnswer: -9398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -150\/37 smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324685 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 b(q) = 2*q**2 - 2*q - 13. Suppose 6 = m + 5*a, 10 = -2*a + 7*a. What are the prime factors of b(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13472874*u + 100 = -13472870*u - 2*p, 5*u - 110 = -5*p for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 353046707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.68 + 0.4. Let p = r - 0.68. Let x = -40 - -40.2. What is the biggest value in p, x, -3\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 + 115 + -5 + 2. Suppose -5*u = -n - 3. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266963 is divided by 383.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, -3, -6, 2, 81 in descending order.\nAnswer: 81, 2, -2, -3, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*a + 25 = -80, -200 = -2*p + 4*a. Suppose -g + 5*g - 24 = 0. Let r be (-2 + (-22)\/(-6))*g. What is the greatest common divisor of p and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 24, 3, 1, -1\/264, -64?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l**2 + 11*l - 16*l - 13*l - 16*l.\nAnswer: -14*l**2 - 34*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q**(-2\/5))**(2\/29) assuming q is positive.\nAnswer: q**(4\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14445969, -28891904, -43337839?\nAnswer: -57783774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 11 = 3*r, 0 = -r - 2*r - 4*f + 26. Find the second derivative of -8*g**2 - r*g**5 + 4*g + g**5 + 8*g**2 wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2 = -s + 13, -4*c = s - 16. Let k = -5 + c. Suppose -20 = 14*z - 18*z, 3 = -3*x + 3*z. Solve u - x = -k*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + (-32 - -4) + 58?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -908? (a) 0.3 (b) -1 (c) -8 (d) -4 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -21.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 95046, -2, -35 in ascending order.\nAnswer: -35, -2, 0, 95046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40556*j + 13521*j = -13540*j - 13515*j + 20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o + 2. Let z be m(-1). What is the tens digit of (-637)\/(-21) - 2\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 99 = 10*x. What is the units digit of 8 - ((-27)\/18)\/(6\/x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/8*(-1 + (-2 - -1)). Does -5\/63 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9536*j**3 + 9531*j**3 - 4*j**2 + 4*j**2.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhiihhhiccih. What is prob of picking 2 i, 1 h, and 1 c?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 6:34 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1191876 and 616.\nAnswer: 26221272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-4)*240\/100. Which is greater: -3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 161*q - 43. Give c(1).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 644 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/10 - (0 + 75 + 1). Let y = w - -82. Let p(g) = -g - 4. Let b be p(-4). Sort -5, -2, y, b in decreasing order.\nAnswer: y, b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 3*c**3 + 3*c**3 + 2*c**4 - 1549 + 134*c**4 + 1549 + (-2*c - 1 + 1)*(-2*c**3 + 5*c**3 - 5*c**3) - 1 + c**4 + 1.\nAnswer: 141*c**4 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -628668?\nAnswer: 628669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 6*m**2 + 4*m. Let k be c(-5). Suppose -2*f - 2*q = 3*q - 81, 0 = -5*q - k. Suppose p - f = -3. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 11*v - 24. What is the remainder when 16 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116371\/71 - 1639. Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 5 + 6 + 0*v + 29.\nAnswer: -3*v + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 922 = 3*j - f, -1425 = -5*j - 3*f + 121. What are the prime factors of j?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(30)\/sqrt(6)) - sqrt(35)\/sqrt(5)*-3 - (-4 + (sqrt(9072) - (1*sqrt(9072))**2)).\nAnswer: -32*sqrt(7) + 9076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -231843*a**5*o - 2*a**2*o + 6*a - 613*o wrt a.\nAnswer: -13910580*a**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -201584.6702 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3\/(w\/w**(1\/4)))**43 assuming w is positive.\nAnswer: w**(387\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5 + 5742*p**4 + 158913*p**3 + 923298*p**2 + 1969740*p + 1425816 = 0. What is p?\nAnswer: -1886, -21, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -22. Let z = 503 + -3073\/6. Calculate the common denominator of z and 766\/140 + (-3)\/r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*z = 227 - 1023. Suppose 0 = -3*y + 2*y + 3. Let i(n) = y - n - 1 + 0*n. What is i(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1260677\/14 - 90186. Let z = 139 + i. Find the common denominator of z and -127\/90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {m: 1, b: 2, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -4*549\/(-252)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -772, -843, -944, -1063, -1188?\n\"Answer: 2*l**3 - 27*l**2 - 4*l - 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 115823, 115820, 115817, 115814, 115811, 115808?\n\"Answer: -3*s + 115826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 2 - 2)*(2*a**3 - 32 - 362*a**2 + 362*a**2) to the form u*a + p*a**4 + q*a**2 + c + v*a**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-7))\/((-3)\/(-42)). Let w(b) = -9*b**2. Let t(y) = 8*y**2. Let v(j) = n*w(j) + 5*t(j). Let d(h) = -h. Determine v(d(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 76859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -492 + 6. Let l = w - -485.7. Let b = 0.24 + -0.2. What is the third smallest value in b, 0, l, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*k + 10, 0*u = u - 5*k - 22. Let n be 3 + (-19*27 - u). What is the tens digit of n\/(-20) + 4\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 - -43809401950483\nAnswer: 43809401950509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4498763917 - -318\nAnswer: 4498764235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 3:21 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + sqrt(288)*-2 + sqrt(288) + -3 + -4)*6)**2*-1.\nAnswer: -11268 - 4320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 25*u**2 - 108*u - 1839. Calculate o(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(70))\/(sqrt(360)*2) + (-2*sqrt(448) - (-4*(-1 + sqrt(7)))**2) + 0.\nAnswer: -128 + 63*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*2\/28 - (-75)\/(-7). Let w = k + 11. Suppose h + 3 = w, -4*h = -q + 6*q - 43. Solve 5*y = 3*r - 31, 5*r - y - 4 = q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1080a8 - -4?\nAnswer: 1080ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494255150.\nAnswer: 2, 5, 9885103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x**2 - 2*x**2 - 3*x**2)*(-4*x + x + 2*x) + (-3 - 1 + 5)*(-5*x**3 - x**3 + 4*x**3) + x**3 + 0*x**3 - 3*x**3 + 7*x**2 - 7*x**2 + 5*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3187, 3210, 3249, 3304?\n\"Answer: 8*p**2 - p + 3180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + i - 26 = 0, 2*j - 36 = 21*i - 17*i. Solve 108 = j*v + 138 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 18*w**2 + 32*w + 11. Let v be u(16). Solve -k - v + 7 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40758873, -40758876, -40758881, -40758888, -40758897, -40758908, -40758921?\nAnswer: -40758936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from ihhiihreririih?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 30 = -5*y. Solve d + 3*a - 2 = -16, y*d + 3*a = -12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/6 and 115\/10560696.\nAnswer: 10560696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + (sqrt(21) + sqrt(336))*5)*-5*-4)\/(-1*sqrt(108)*-6 - (4*(sqrt(108) - -1*sqrt(108)) - sqrt(108))).\nAnswer: -260*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -407*l + 2864*l**2 - 2*l**3 - 2578*l - 2019*l + 2 + 615*l**2 wrt l?\nAnswer: -12*l + 6958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.93258 millilitres to litres.\nAnswer: 0.04993258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -o - 26. Let x = 193 + o. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jij when three letters picked without replacement from iujuuuiipjjuiu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/3, -4, 1270, -3 in decreasing order.\nAnswer: 1270, 0.5, -1\/3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8014?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - 77\/(-22)) + (1074\/4 - 2). What is the highest common factor of u and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 3. Let o be l(5). Let h(n) = -5*n - 2. What is the units digit of h(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 - 270*w**2 + 109*w - 1460. List the prime factors of r(-91).\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 + 21*g**2\/2 + 181*g\/4 - 8091\/2.\nAnswer: -(g - 31)*(g - 29)*(g + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 23*m**4\/12 + 2*m. Let o(v) be the first derivative of 0*v**2 + 189 + 0*v + 1\/3*v**3. What is c(o(w))?\nAnswer: 23*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((652698\/(-405))\/(-158))\/((-6)\/(-8)))\/((-18)\/(-5))?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = -w - 3*u, -w - 4 = u. What is the units digit of (w\/(-3))\/((-5)\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s. Let z(l) be the third derivative of -l + 0*l**3 + 76*l**2 - 1\/30*l**5 + 29\/24*l**4 + 0. Calculate z(j(u)).\nAnswer: -18*u**2 + 87*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Let d = n + -0.4. Let q = d - -0.9. Which is the nearest to 1? (a) -3 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5*g - 26 = 0, 6 = -3*b + 2*g + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 5*w**4\/12 - 3430*w**3\/3 + 1176490*w**2 + 3*w - 50. What is i in o(i) = 0?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**3 - 2*o**2 + 8*o - 12. Determine g(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 8 + 6)*(2*j - 6*j + 3*j)*(-j + 1 - 1) to the form s*j + k + l*j**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -20*j - 373. Give d(-12).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130785600*i**3 - 1211562*i - 20.\nAnswer: 784713600*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 75*f**2. Let v(i) = 2*i**2. Give v(s(q)).\nAnswer: 11250*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12424192 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 7 - 34*i**3 + 3.\nAnswer: -34*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 25 = -v, -14870*f + 14873*f = -v + 17 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14, -35, -76, -143, -242, -379?\n\"Answer: -y**3 - 4*y**2 - 2*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 3. Calculate v(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -16.6, 178\/7 in decreasing order.\nAnswer: 178\/7, -0.2, -16.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 6*z**2 + z - 7. Let g be n(6). Let y be -3*g\/(7 - 4). Solve -5*u + y = -4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (14 - 19) + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -80 (b) 6 (c) 2\/7 (d) 3 (e) 0.5 (f) 0.3 (g) -0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-920)\/130 - -7) + (186916\/26 - 5)?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Three letters picked without replacement from ddxwdxxdwdww. Give prob of picking 1 d and 2 x.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 + 21*h\/2 + 23.\nAnswer: -(h - 23)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/5 - -4\/35. Let g = -4 + 3. What is the nearest to g in u, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36741618993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 22*c + 10. Determine d(22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 14 = -2*q. List the prime factors of (q\/(-6))\/(-4 - (-7244)\/1812).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.488681 - -0.6227045. Let l = -0.221 + 0.087. Let r = l + y. What is r rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -157255*u + 471835. Determine d(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-90)\/6)\/5 + (-4)\/4*-68 and 1040?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3945 + 4?\nAnswer: 3949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613334629?\nAnswer: 23, 661, 40343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 1102.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.2627185 and 0.02.\nAnswer: 13.2827185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/2))**(-10\/7))**(11\/2)\/((c\/(c**(-2)\/c))\/c*(c*c**4)\/c*(c**(1\/3))**(-12)) assuming c is positive.\nAnswer: c**(-207\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29913 + -20835. What are the prime factors of s?\nAnswer: 2, 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 7*k + 2. Let c be h(-7). Suppose 0 = -4*j - c*i + 73 + 475, -5*i = 20. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4859209?\nAnswer: 4859209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 304488810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7139 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 2*l + 2 + 2*l + 0*l**2 - 3*l. Let u(s) = 19*s - 213. Let m be u(11). Calculate n(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z - 1. Suppose 512 - 520 = 4*f. Determine a(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 197\/4 + -50. Let y = -236\/1419 + -2\/129. Which is the biggest value? (a) -2\/21 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155 + 493. Suppose -a = -11*x + 12*x. Let q = -185 - x. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**3 + s**2. What is p(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 13*q = 8. Let l be -1*(6\/(-12)*10 + 3). Sort l, q, 7, -1 in increasing order.\nAnswer: q, -1, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-475*42\/(-1050) + 336\/(-58)).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -78 = -540\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffff. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4103225 (base 7) to base 9\nAnswer: -824142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 12*w + 3. Let h be v(-13). Let j(q) = -2*q**2 + 31*q + 2. Let x be j(h). Is (3 - 1)\/(x\/(-4417)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21848256986 minus -2115?\nAnswer: -21848254871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + sqrt(175)*-1 - sqrt(175)) + -3 + 5 + 3*sqrt(567))**2.\nAnswer: 88*sqrt(7) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.0856 (b) -0.06 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2472 divided by -1236\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000020204 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -2)\/(1 + 0). Let f be r*(2 + -3) - -1. Suppose 2 = f*i + 5*n, -i + 5*n = 3*i - 64. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = 0. Let g(t) = -1 + r + 9 - t. Let y be g(8). Solve o = -y*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -46238*g - 99. Is o(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 221010203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 34804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/6 and 71\/220?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r + 134. Determine j(17).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(272) + sqrt(272) + 2*(sqrt(272) + -1*sqrt(272)) + sqrt(272))\/sqrt(8))\/(sqrt(198)\/(sqrt(11)*2)))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.094 - 40.094. Let a = y + 39.961. What is a rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -62*p + 62*p - 35*p**2 + 6*p**2. Let o(t) = -2*t. Calculate j(o(w)).\nAnswer: -116*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-2\/9)\/p))**(-1\/3)\/(p**14\/(p\/((p\/p**(4\/11)*p)\/p))) assuming p is positive.\nAnswer: p**(-4171\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0113 times -0.013\nAnswer: 0.0001469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*l = 16, -5*t + 24 = l - 7 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 1590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13, 24, 39, 58, 81, 108?\n\"Answer: 2*f**2 + 5*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 369*t - 340. Let r(u) = -230*u + 227. Let p(a) = -8*r(a) - 5*w(a). Determine p(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1\/11, 131, 132.\nAnswer: -1\/11, -0.05, 131, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82 and 16?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2757.789 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2*((1 - 1) + -12926) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -121 - 78 + 256 - 107 + 2*z. Let f(h) = h. Determine f(x(p)).\nAnswer: 2*p - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15138548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 35*w + 217. Let d = -22999 - -23007. What is r(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 112*c + 15. Let v(p) = 36*p**2 - 441*p. What is v(k(t))?\nAnswer: 451584*t**2 + 71568*t + 1485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71928 by 3.\nAnswer: -23976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -766589*j**5*u**3 - j**3*u**2 - 14*j**2*u**3 + 85338*j*u**3 wrt j.\nAnswer: -45995340*j**2*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1965016, 3929213, 5893410?\n\"Answer: 1964197*t + 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47611?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8*p - 1. Let f(j) = -20*j + 27. Let o(m) = 2*f(m) + 4*u(m). What is o(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 5*r**4\/12 - r**3\/6 + 3*r**2 + 3. Determine c(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 64\/416 - 536\/(-1586). Do 1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 158489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3 (c) 504.054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - p - 2 = -3*y, -3*y + 7 = -p. Let g = 1 - 1. Let j be g - (3 - 1) - -2. Does y = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5) + -1) + -3*sqrt(45) + 3.\nAnswer: -15*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 434 + -415.1. Let i = 26 - f. Let v = -7 + i. What is the nearest to v in -2\/15, 0.5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 20 = -5*x - 3, x = 4. What is the remainder when (10 + 1)\/((-2)\/(-2)) is divided by ((-1)\/(-2))\/(f\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*m = -133, -4*w = -w + 3*m + 99. Let u be w\/(-2) + 2\/1. Let p be (-32)\/u + 2\/(-9). Let z(s) = s**3 - s + 2. Calculate z(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 - 15263*o + 213286. Calculate k(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 109, 148, 179, 196, 193, 164?\n\"Answer: -t**3 + 2*t**2 + 40*t + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59542079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 81082, 162228, 243372, 324514, 405654?\n\"Answer: -b**2 + 81149*b - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 6 + 4, 0 = -3*b - z + 19. Let t be (-2)\/b - (-51)\/7. Find the common denominator of (t\/35)\/((-8)\/(-790)) and -23\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8588616*b*q**2*t - 3*b*q**2 - 2*b*q - 21*q**2 + q + 1310929*t with respect to b.\nAnswer: 8588616*q**2*t - 3*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0.1365?\nAnswer: 2.8635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -645 + 914. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**3 - 205808*i**2 + 756702*i wrt i?\nAnswer: -18*i - 411616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -18*b - 200. Let r(z) = -57. Give -g(f) + 6*r(f).\nAnswer: 18*f - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-10))\/((-3)\/(-40)). Let p = o - -29. Suppose -2*l = f - 193, -f - 219 = -5*l + 281. Calculate the highest common factor of p and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 453, 5, -1, 9, -4, 1 in decreasing order.\nAnswer: 453, 9, 5, 4, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 202. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -975332 (base 11) to base 6.\nAnswer: -53225331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 651*l**2 - 3194*l - 192. What is z(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184583 by 3.\nAnswer: 184583\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1186124 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42845 + 1825*r + 1179*r**3 + 42845 + r**2 wrt r.\nAnswer: 7074*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + -1*sqrt(272) + 3 + 5 + sqrt(272) + 0 + -2)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 55225 = -2*j, 3*j - m + 55219 = 5*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 - -2.39. Let q = l - 4.19. Let z = 4.3 + q. What is the nearest to -1 in 1\/4, -5, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -13*r - 300. Let s(p) = 8*p + 200. Calculate 5*j(f) + 8*s(f).\nAnswer: -f + 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glvvlslvvlkvkvvfvsg. Give prob of sequence lkf.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 996 and 24?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 6 = 19*f + 4*r, 0 = 2*f + 23*r - 32 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - -4.4. What is the second biggest value in 2, 2\/7, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + q + 3. Determine j(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10618, 10468, 10238, 9934, 9562, 9128, 8638?\n\"Answer: w**3 - 46*w**2 - 19*w + 10682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514928 to the power of 1\/2, to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 63 times -99\nAnswer: -6237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.02460738 from -1387.\nAnswer: -1384.97539262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*a**2\/2 - 1229355*a\/2 + 122935.\nAnswer: 5*(a - 49174)*(5*a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2960*v**3 - 50*v**4 + 6248*v + 16794*v - 33363*v**2 - 9245*v**2 - 7200 + 12478*v.\nAnswer: -2*(v + 30)**2*(5*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 5*l - 12. Let d be o(5). What is the highest common factor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 9*o**2 - 39*o - 13. Suppose 2*j = 508 - 476. What is the hundreds digit of g(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*g**2 - 738*g**2 - 529*g**2 - 694*g**2.\nAnswer: -1844*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1504120 is divided by 752059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322319 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 907.7511 months to decades.\nAnswer: 7.5645925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(18\/31365) - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 368253.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168289060?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6616 = 22*i - 4010. List the prime factors of i.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 21 - (146 + (-4 + 2 - -1)).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**4 - 524902*u**2 + 0*u**3 + 2*u**3 - 4*u + 524905*u**2 + 56 in the form w*u**2 + v*u**3 + z + t*u**4 + x*u and give z.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 7*a = 425. Solve -a = -18*c + 23*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5991 - -5998. Let h(b) = b**2 + 12. Let g(x) = 3*x**2 + 36. Calculate n*h(p) - 2*g(p).\nAnswer: p**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10 and 24084614468.\nAnswer: 24084614478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3271, -6556, -9841?\nAnswer: -13126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 2*j + 3. Let l be 6\/(-9)*(-27)\/(-6). Let t be f(l). Suppose -2*p + 0*p = t. Solve 0 = -5*b - z + 7, -z + 1 = 2*b - p*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2884*z - 458511. What is t(-159)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 9*y**2 - 3*y + 2. Let r be u(-8). Calculate the highest common divisor of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34.062 + 0.062. Let m = r - -33.22. What is m rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:57 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 145, 307, 469, 631?\n\"Answer: 162*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1210 + 2403. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17783 - 10047. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -908*w = -857*w - 357 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15422064?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**2 + 2*x + 2. Let f(u) = -6*u**2 - 2*u - 3. Calculate 2*f(l) + 3*w(l).\nAnswer: 6*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -560341, -1120682, -1681023, -2241364, -2801705, -3362046?\n\"Answer: -560341*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-2*l + 0*l + 0*l) + (-5 + 5 - 3*l)*(2 - 6 + 1).\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(2*sqrt(6)))**2 + sqrt(50)\/(sqrt(30)\/sqrt(3)).\nAnswer: 5\/4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2. Let z(k) = 5108*k. Give z(i(g)).\nAnswer: -10216*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607*q**3 + 2*q**2 + 0*q**2 + 16 - 2*q - 2*q**2.\nAnswer: 607*q**3 - 2*q + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -80.42, -15, 4\/3?\nAnswer: -80.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 457960\nAnswer: 457966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785 is divided by 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014701 less than -0.6?\nAnswer: -1014701.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104 + 154. Let v = -50.051 + l. What is v rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1965.\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 524.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2097 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 4:21 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32, -57, -128, -269, -504, -857?\n\"Answer: -4*a**3 + a**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3628)\/199540)\/((-1)\/10)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.901 * -3\nAnswer: 2.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-759*h + 419*h - 1121*h - 703*h - 852*h)*(3*h**3 - 3*h**3 + h**3).\nAnswer: -3016*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22474?\nAnswer: 2, 17, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143665902.\nAnswer: 2, 3, 587, 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1107 and 11357.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.018 - -0.018. Sort v, -2\/7, -0.4 in descending order.\nAnswer: -2\/7, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**3 - c**2 - 6*c - 7. Let f(n) be the first derivative of -7\/2*n**2 - 8*n - 2\/3*n**3 - n**4 + 4. Let x(j) = 4*f(j) - 5*l(j). Determine x(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 32126317 from -937.14.\nAnswer: -32127254.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -1. Let l be (-2 - g)*(-2)\/(-4). Is 4 a factor of 36\/4 + l\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 9*z + 270 = 0, 2 = x + 5*z - 60. Solve -44*t + 104 = -x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)\/(sqrt(10) + sqrt(100)\/(sqrt(10)*1)))\/(1*sqrt(10)*1 + (sqrt(10) - (sqrt(250) - -1*sqrt(250)))))**2.\nAnswer: 5\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 1137280.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 1. Let z(d) = d - 1. Let m(p) = -v(p) - z(p). Suppose -2 = 9*t - 7*t. Let o(u) = u**2 - u + 1. Give t*m(n) + o(n).\nAnswer: n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -63 - 5) + -146\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 61 = v, -5*v + 6 = 1. Let r(y) = y**2 + 4*y + 3. Let j be r(-4). Suppose -3*c + 0*c = -9. Solve -5*l - t = -j*g - c, g + 2*l + 2 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in 14\/11, -19\/3, -4?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -43123*r + 1. Let b be y(1). Let p = 78600 + b. Let u = p - -4522. Round u to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -612, -2449, -5522, -9837, -15400, -22217, -30294?\n\"Answer: -w**3 - 612*w**2 + 6*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/5 (b) -5 (c) 0.01 (d) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x = 26*x + 454984. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4186786\/99 - -42290. Calculate the common denominator of a and -9\/506.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, 5, 186?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 220\/7 - 32. Let s = -833 - -832.7. Which is the nearest to -1? (a) v (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nrnnr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t = -60. Suppose 5*d + 4*k - 58 = 0, -2*d - k = -d - t. Let f = d + -8. Solve 9 = -f*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*i**2*s + 44*i**2 - 22037*i*s + i - 2*s**2 + 698 with respect to s.\nAnswer: 6*i**2 - 22037*i - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcnr when four letters picked without replacement from cwwcwrnrrco?\nAnswer: 3\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-1)\/(2\/(-6))). Let h(j) = -9*j + 9. Let d be h(i). Let s be (d - -6)*(-2)\/(-4). Solve 4 = -w + s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 11:05 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Let c be t(2). Let d be (-4)\/((20\/(-20))\/(2\/4)). Put -3, d, c in decreasing order.\nAnswer: d, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340282963 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*8\/(-4)*1. Suppose -s*o = 3*y + 11, -o - y = -5*y - 22. Solve 5*i = -o*n + 2, -3*n + 4*i = 2*n + 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41041 is divided by 20504.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2744094ml?\nAnswer: 0.0002744094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 152?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.7 + 5. Let f = 27.73 + 0.77. Let x = f + -28. Sort z, -1, x.\nAnswer: -1, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -81 - -5?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 853021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izz when three letters picked without replacement from iiiiizizi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 6*q + 3. Let t = 259 + -253. What is m(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2*z = -8 + 26, r + z - 1 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 71*b**6\/120 - b**4\/4 + 13*b**3\/6 + 92*b**2. What is the second derivative of f(h) wrt h?\nAnswer: 426*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -284055694.7965 and -6.\nAnswer: -284055700.7965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2 + 16*p - 22. Let z(v) = v**2 - 5*v + 7. What is -5*y(j) - 16*z(j)?\nAnswer: 4*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8580712 and 196283787.\nAnswer: 1570270296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 9:57 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, f: 2, h: 1, c: 1, d: 1, a: 1}. What is prob of sequence cfda?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2500 - -2129. Which is greater: h or -1487\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 0. Let t = 230 + -228. Find the first derivative of -3*s - t*s - m*s + 8 wrt s.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -a + 21, 0 = -2*a + 3*a - 1. Is ((-84)\/20)\/((-1)\/l) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:28 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67\/360 - 11\/180. Sort -0.5, p, 111, 0.5, -0.3 in descending order.\nAnswer: 111, 0.5, p, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 643.\nAnswer: 2\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -53. Let z = 20 + t. Calculate the highest common divisor of 30 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 3:59 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-888)\/126 + (-4)\/14)*405\/90?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -0.2, 0.2, 31\/7 in ascending order.\nAnswer: -0.2, 0.2, 1, 3, 31\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1800060 - 0.871\nAnswer: -1800060.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 - -0.99. Let v = x - 0.19. Let o = 0.1 - v. Which is the closest to o? (a) -1\/3 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(540)*-1)\/(((sqrt(18) - sqrt(162))*-3)\/(sqrt(726) - ((-1*sqrt(726) - sqrt(726)) + sqrt(726) + sqrt(726)))).\nAnswer: 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -71.7. Let n = 17 + c. Sort -3, n, -1\/4.\nAnswer: -3, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w + 2*n - 10, -2*w + 3*n = -20. Suppose w*y - 312 = 486. List the prime factors of y.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -307997*p. Let z(j) = -4*j. Give w(z(o)).\nAnswer: 1231988*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 5*m**2 - 6*m**2)*(m**3 + 0 + 0) + (5*m**3 - 2*m**3 - m**3)*(-m**2 + 0*m**2 + 3*m**2)*(0 + 0 - 1).\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -971*r**4 - 927*r?\nAnswer: -11652*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 803.4685 litres in millilitres?\nAnswer: 803468.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -31. Let l = -10 + s. Solve -2*w = -l*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604*k**3 - 608*k**3 + 8046*k - 8046*k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4583 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6744 is divided by 396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10152 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-518)\/(-222))\/(21\/54)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14941, -14934, -14927?\n\"Answer: 7*l - 14948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4962.252kg?\nAnswer: 4962252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 0*b + 5*b - 79 = 0, -b + 1 - 3 = -2*c - 15 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.082203 - -6.\nAnswer: 6.082203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -9*x + 6. Let q be o(-6). Suppose m - 4*m = -q. What is the lowest common multiple of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30327, -62247, -94153, -126039, -157899?\nAnswer: -189727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*q**2 + 2*q**2 - q**2 to the form h + o*q**2 + y*q and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 18*j**2 + 46*j - 515. Give r(17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (5 + 5 + -23 - (-7 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, -69, -270, -667, -1326, -2313, -3694?\n\"Answer: -11*i**3 + i**2 + 3*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 4*f + 0*f)*((-4 + 1 + 2)*(3*f - 3*f + 2*f) + 0*f + 4*f + 4*f) in the form c + n*f**2 + z*f and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -314, -300, -270, -218, -138, -24?\n\"Answer: o**3 + 2*o**2 + o - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 4. Let w(b) = b**2 + 5*b. Let y be w(j). Suppose 0 = -f + 4, 4*f - 152 = -4*h - y*f. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 6*y**2 - 7*y + 4. Let w be r(7). Suppose 0 = -w*v - 5*m + 1, -4*m = 2*v + v. Let t(x) = 6*x + 3 - x - v*x - 9. Calculate t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*a. Suppose a = -2*t + t + 112. What is the highest common divisor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2491006.1 rounded to the nearest ten thousand?\nAnswer: 2490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - r**4 + r**2 - 3*r**4 + 5*r**4 - 3*r**3 to a*r**4 + l*r + z*r**3 + w + b*r**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*b - 269 = 0, 4*n + 2*b = 6*b + 1016. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**3 - 4*i**3 + 5*i**3)*(-i + 4*i - 5*i) + 0*i**4 + 2*i**4 - 5*i**4 to w*i**2 + x*i + s*i**3 + t + h*i**4 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 - -124. Suppose -m - t = n, n - 8 = -n + 2*m. Suppose -3*k = -2*p - n*p + 518, -2*k - 1020 = -4*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75740000 rounded to the nearest 1000000?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4485571678 to the nearest integer?\nAnswer: 1649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -639847088 + 0.03.\nAnswer: -639847087.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -25111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 529771 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 716*x - 336*x + 561*x in the form i*x + n and give i.\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*a - 10, 2*a + 11 = 5*c - 5. Let d(q) = 2*q**2 - 7*q + 4. What is the units digit of d(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 24. Let s = -6 - b. Suppose z = s*z - 108. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043310 rounded to the nearest 10000?\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**3\/3 - 9*a**2\/2 + 16*a. Is m(-11) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**2)**6 assuming g is positive.\nAnswer: g**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2041 and 376233.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-37 + 17)\/20 - -170. Solve h = 59*q - 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1870 + 6197. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5460.\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2052 divided by 57\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544485 is divided by 36296?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*z**2 - 3*z**2 - 6*z**2)*(-4 + 4 - z**2) + 8*z**4 - 19*z**4 + 16*z**4 as y*z**4 + r + c*z**3 + i*z**2 + s*z and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -89612*s + 12545678. Give p(140).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73608 - 73529. Let d = 532 - 219. Calculate the remainder when d is divided by p.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 353*o**3 + 4*o**2 + 4*o - 18. Let q(y) = 354*y**3 + 4*y**2 + 5*y - 21. Calculate 7*m(j) - 6*q(j).\nAnswer: 347*j**3 + 4*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 45?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*s + 1055984. Suppose -f - 5*o - 131980 = 0, 2*f + s = -2*f - 2*o. Let j be -1 + f + (9 - 8). What is j rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**3 + 5*o**2\/2 + 4*o + 4. Let z be k(-2). Solve -2*q + 0*q - 7*q - 6*q - z*q**2 - 6 = 0 for q.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j**2 - 96803 + 96803 + j**3 - 5*j as p*j**2 + o + s*j**3 + w*j and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5))**(-2\/7))**7 assuming l is positive.\nAnswer: l**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6271 is divided by 233?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30169 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - 35.4. Let b = -0.0611 + -36.0389. Let y = l - b. What is the closest to y in -2\/7, -7, -3\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4584 = 2*a + 1710. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30975 divided by 3\nAnswer: 10325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.3 + -5.224. Round x to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14047?\nAnswer: 11, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*j + 263, -9*s + 11*s = -5*j + 516. Is s a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-147)\/10 + (2 - 2). Let u = 66\/5 + t. Let j = 1513\/9006 + -2\/1501. Which is the closest to -6? (a) -1 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and (5 + 11\/(-4))\/((-6)\/(-40)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 55. Suppose 410 = -21*n + i*n. Let h = n - 49. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5760 + -5701. Solve -4*b - 12 = 4*m, 5*b + m + s = 44 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 + 4 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3408 + -3554. Are v and -142 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Let k be d - (-5)\/(10\/6). Suppose -194 = -5*c + 16. What is the greatest common factor of c and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znznzn. Give prob of picking 2 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -264731806*d**4 + 27527261*d**2 + 4*d wrt d.\nAnswer: -6353563344*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145267292.\nAnswer: 2, 36316823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4 - 3*f + 13*f**3 - 9*f**2 + 2*f - 12*f**3. Let n = 1187 - 1178. Give q(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + d**2 - 1. Let w(y) = -y**4 - 5*y**3 + 7*y**2 - y - 6. Let m(o) = 6*n(o) - w(o). Suppose m(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1037, -1002, -937, -836, -693, -502?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41100 = -33*z + 13*z. What are the prime factors of z?\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*s - 3*g - 80, 5*s + 80 = -3*g. Let d be 13 + s - 3427*-89. Round d to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -5. Let w(v) = -357*v**3 - v. Let k be w(a). Is 10 a factor of 3\/18 + k\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 4. Let p = y + 6. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 372842 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -245115560.7 to the nearest ten thousand.\nAnswer: -245120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 18 = -5*s - i, -4*i = -24. Sort 4, s, -4, 19, -5 in descending order.\nAnswer: 19, 4, -4, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 590061*c**3 - 1180124*c**3 + 590062*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 43 = 6*c - n, -5*n = 4*c - 47. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.8 + 2.799967. Round i to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/9 + 16*p**3\/9 + 16*p**2\/3 - 64*p\/9 - 160\/9 = 0. What is p?\nAnswer: -2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**2. Let q(r) be the first derivative of 0*r - 11\/3*r**3 - 74 + 0*r**2. Determine q(m(o)).\nAnswer: -275*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(102)*3)\/((sqrt(18)\/sqrt(27) - sqrt(6)) + sqrt(42)\/sqrt(28)).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 639.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) -1 (c) 4\/5 (d) -11 (e) 3 (f) 51\/5 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 7:01 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3676?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**3 + 3*t**3 + 3*t**3)*(0*t + 3*t - t)*(-4 - 4*t + 4).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1669.54l to millilitres.\nAnswer: 1669540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8113 and -0.52.\nAnswer: 0.421876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 720468200643 - 720468200643 + 37*w.\nAnswer: 37*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -436\/55 - -597\/110. Which is the closest to 2\/11? (a) -2\/19 (b) -20 (c) 1 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29235133, 29235139, 29235147, 29235157?\nAnswer: 29235169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -8 + 10 - 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 6)*(135 + 22 - 48)*(165*b**2 - 29 + 58 - 29) to the form j*b**2 + q + a*b and give j.\nAnswer: -71940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 - 12*g**2 + 3*g - 13. Let w be q(6). Solve -w*h + 5 = -10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153660.\nAnswer: 2, 3, 5, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 10:52 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/5 - 10726348*j\/5 - 32179026\/5 = 0.\nAnswer: -5363171, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -1\/4, 9, 0.049271, 0.4 in increasing order.\nAnswer: -1\/4, 0.049271, 0.4, 6\/11, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 5 (c) -21\/2 (d) -4 (e) 12323 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 3*z + 26 + 2*z + 3*z. Is l(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-582913)\/36023 + 16 - 6\/(-65)*(-130)\/(-52). Let o(g) = g**2 - 2*g + 1. Let q be o(1). Is q != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, g: 1, v: 9}. Give prob of picking 1 l and 1 v.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22051631, 22051630, 22051629?\nAnswer: 22051628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -14*k + 5. Let x(q) = -q**2 - 37*q - 184. Let c be x(-31). What is t(c)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, c: 2, k: 4, b: 1, g: 4}. What is prob of picking 1 f and 1 c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134\/3 + 45. What is the nearest to y in -3\/4, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-14\/9))**(-7)*q**(-2\/9)*q\/(q\/q**6)*q**3\/q**(4\/3) assuming q is positive.\nAnswer: q**(67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10510 and 11561?\nAnswer: 115610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98811*w + 98822*w + 88 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**3 + 4*s**2 + 12*s + 2. Calculate b(-4).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 1887275891.\nAnswer: -1887275886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -14*l + 19*l - 97, -2*i - l = -239. Let a = i - 121. Solve k = -4*x + a, 7 = 4*x - 0*x - k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3554, -12891, -28474, -50303, -78378, -112699?\n\"Answer: -3123*p**2 + 32*p - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 93*x - 271. Let h be v(3). Which is the nearest to 4? (a) h (b) 0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 23954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = -30. What is the common denominator of -83\/12 and 230\/(-36) + w\/15?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (-2)\/(-4))\/((-32)\/(-768)). Let l(x) = x**3 + 12*x**2 + 1. What is l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2568563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*k = -53*k. Factor 16*u**3 + 89 + 128*u + k*u**4 - 3*u**4 + 72*u**2 - 9 + 3*u**4 + u**4.\nAnswer: (u + 2)**3*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -20, 7, -7 in increasing order.\nAnswer: -20, -7, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, p: 7, r: 2, m: 4, u: 3}. What is prob of picking 2 i?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-44)\/(-8) + -4 - (-182785)\/10. What is l rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-11664)\/(-6) - -10 - -2 and 14.\nAnswer: 13692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-3)*a*a))**(-1)*(a**(-2)*a)**(-4))**(2\/101) assuming a is positive.\nAnswer: a**(4\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(1*sqrt(13))**2 + sqrt(13).\nAnswer: -83 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2350.52 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2467\/7 + 353. Let r = -1.223 - 0.877. Let y = r + 2. Which is the closest to 0? (a) 0.3 (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 3, 4, 0, -3.\nAnswer: -3, 0, 3, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j + 1896. Suppose 5*p - 2*u + 1938 - 6365 = 0, 0 = 4*u - 16. Let t = j + p. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5\/4 - 13731*a**4\/4 + 357493*a**3\/4 - 2599857*a**2\/4 + 742986*a + 1485756 = 0?\nAnswer: -13757, -1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1211 * 0.03\nAnswer: 36.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 570.3 + -6885621337?\nAnswer: -6885620766.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1296 and 6912.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 7*p + 6. Give h(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2839*n + 1 + 5687*n - 10 - 16*n**2 - 2846*n to the form w*n**2 + k + u*n and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 306 by -9.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 580656492 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.055 + 4.055. Let q = -2.93 + -0.07. What is the closest to q in -5, -0.2, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16069667 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {f: 5, y: 4, b: 3, s: 3, i: 4}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 80 = -0*y. Calculate the lowest common multiple of 10 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 7:31 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -330, -332, -334, -336?\n\"Answer: -2*c - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**5 - 15859*b**2*s + 2*b*s - 5*b + 3*s + 91 wrt b.\nAnswer: -60*b**3 - 31718*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4006691*y**2 + 39*y + 21228 wrt y?\nAnswer: 8013382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 16*d**2 + 54*d + 2. Let z(n) = 69*n**2 + 215*n - 6*n**2 - 221 + 230. Let a(q) = 9*o(q) - 2*z(q). Find the second derivative of a(j) wrt j.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from laaaefrlreflaeaf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n. Let p = 31 - 28. What is r(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6072 + 6037 = -7*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*(-7)\/((-63)\/(-375)). Let q = l + 502. Solve 2*c + 0*c = -q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-5))\/((-6840)\/(-22800)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7408487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**2 + 11*j + 11. Let b be s(-1). Suppose l = 3*r + 5, 19*l = 24*l + 3*r - b. Calculate the lowest common multiple of 42 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 11*g**2 - 4. Let q be c(11). Is 12 a factor of ((-10)\/5)\/(q\/78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/9426 and 97\/2.\nAnswer: 9426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-11 + 7) - -15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 + l + l**2 - 6*l + 7 + l**2. Let f = -44 - -23. Let i = f + 15. Determine r(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 + 4*r**4 + 8*r**2 - 5*r**4 + (0 - 2 + 1)*(15 - 15 + 2*r**4 - 12*r) as v*r**2 + m*r**4 + s*r**3 + o*r + i and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66143911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1999962*y. Let u(f) = -10*f. Calculate u(z(v)).\nAnswer: 19999620*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**6\/60 + s**5\/8 + s**4\/6 + 735*s. Let o(b) = 0. Calculate b.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2. Let c = 258 + -256. Let z(t) = 34*t**2 + 44*t. Let i(b) = 10*b**2 + 15*b. Let o(x) = c*z(x) - 7*i(x). Calculate n(o(f)).\nAnswer: -4*f**4 - 68*f**3 - 289*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/5)\/(52\/(-65)))\/(-1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 113 + -10?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + m + 2. Let z = 17 + -20. Let s(o) be the third derivative of -o**5\/30 + o**3\/2 + 2*o**2. Determine z*r(u) + 2*s(u).\nAnswer: -u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -10*s + s**2 + 5*s + 5*s. Let t(l) = l**3 + l**2 - l + 5. Let r be t(0). Let m(c) = -c - c - r*c. What is u(m(g))?\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205634 and 286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -3. Let q(a) = a**2 - 2*a - 5. Calculate the remainder when q(-4) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 88 + 47 = 0. Suppose n = 23 - b. List the prime factors of (27\/(-36))\/(-2 + (-222)\/n).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/18083 or 1?\nAnswer: 2\/18083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(sqrt(18) - (-4 + sqrt(18) + 5))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112021011 - -10?\nAnswer: -112021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32891609\/1784 - -18437. Let s = 92795\/48168 + t. Calculate the common denominator of s and -67\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430\/7 > 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10000 (base 2) to base 10\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 55\/(18 + -7) + 47\/(-11). Factor -6\/11 - 2\/11*q**2 - y*q.\nAnswer: -2*(q + 1)*(q + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 687 - 235. Suppose 0 = 8*f - 484 - h. Calculate the highest common divisor of f and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**3 - 7*y**2 - 148*y - 584. What is the lowest common multiple of d(-4) and 96?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 96\/(-18))\/(1\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178 - -176. Let g = 10 + -9.4. Let p = g + 0.4. Put p, -3, 2\/9, c in decreasing order.\nAnswer: p, 2\/9, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -538, -547, -562, -583?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/16 of a centimeter?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 + 2*m + 2. Let q be a(0). Find the third derivative of -79*k**2 - 54*k**5 + 64*k**q - 184*k**2 wrt k.\nAnswer: -3240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27680 and 0.4.\nAnswer: -11072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*a**2*z**3 - 2*a**2 + a + 832*z**4 + 2327 wrt z.\nAnswer: 12*a**2*z**2 + 3328*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 16, k: 1, z: 1, p: 1}. What is prob of sequence zp?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79, -81, -93, -121, -171, -249?\n\"Answer: -g**3 + g**2 + 2*g - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/180 and -31\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-234)\/(-2 - (-1)\/2). Suppose 3*r = 6*r - b. What is the remainder when r is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*b + 22. What is the smallest common multiple of 46 and b?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a2 + 19?\nAnswer: 5bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204247, 204226, 204197, 204160, 204115, 204062, 204001?\nAnswer: 203932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 35*t + 14*t)*(-4 + 3*t**2 + 4).\nAnswer: 147*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**3 - 7*q**2 + 9*q - 2. Let p(k) = -k**2 + k. Let g(h) = -6*p(h) + w(h). What is the remainder when g(2) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9535 minus 39133.7?\nAnswer: -29598.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8633304.\nAnswer: 2, 3, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 minus -3.2?\nAnswer: 46.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 881*p**3 + 858*p**3 - 1494*p**3 - 3424*p**2 - 3*p**5 wrt p.\nAnswer: -180*p**2 + 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (122\/(-3))\/(42\/(-315)). Suppose y + h = 5*c - 4*y, -329 = -5*c - 3*y. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349894.7 micrograms to tonnes.\nAnswer: 0.0000003498947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 3 - (-20 - -9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01482168 rounded to 4 decimal places?\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1e69ae (base 16) to base 9\nAnswer: -3667053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/25, 72, 2\/9, 2\/8187?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.15081 rounded to one dp?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 3, 5, 25, 69, 143?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 132 = 3*j, 4*x - 3*j + 2*j - 186 = 0. Suppose 96 = x*t - 43*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.6573 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-5 + sqrt(637) + sqrt(637) + 1 + sqrt(637) + 1 + sqrt(637))**2 - ((-3 + sqrt(26)\/sqrt(2)*-3)**2 + 0)) + 4).\nAnswer: -40316 + 744*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 at most 3432\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 6*f - 4. Let o be h(-6). Let b = -310 - -234. Is b <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -6, 4*h = 4*a - 3*a - 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 100110101110111 (base 2) to base 10\nAnswer: 19831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*c**2 + 153 + 32*c**2 - 92*c**4 + 91*c**4 - c**3 - 70*c**2 to t*c + s + y*c**2 + n*c**3 + q*c**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4034\/9 + -448. Suppose -2\/9*o**2 + 4\/3 + g*o = 0. What is o?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64609459 less than 64609458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*j + 6856 = 1536 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 + 156*m**3 - 150*m**2 - 308*m.\nAnswer: -2*m*(m - 77)*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1061433492.\nAnswer: 2, 3, 7, 397, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 355.\nAnswer: -18\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/4 - 0\/(5 + -2). Solve -3\/7*u**2 + 0*u**q + 1\/7*u**4 + 0 + 2\/7*u = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5947 - 5947. Solve -46*y + 48 + 136 = a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 - 162 = 2*q + 4*f, -2*f - 36 = -4*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-3) + 343\/1428 + -2. Let o = 28968954203\/1020 + -28400923. Let j = d + o. Find the common denominator of -46 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 5*t - 1 = 0, -4 = 2*x - 5*t + t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -243627.\nAnswer: -243629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4. Sort 0.2, g, -5\/6 in increasing order.\nAnswer: -5\/6, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.65 + 9.22. Let u = -1.57 + t. Which is the second smallest value? (a) u (b) -8\/7 (c) 1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-8)\/4) + -1. Suppose 2*r = -j*r + 132. Suppose 0 = 4*b - 2*z - r, -4*b + 4*z = -b - 42. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + m + 9, -4*a - 2*m + 30 = 0. Suppose -d - d - a = 0. Does 22 divide (3 - 2)*d + 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.59789 + -18.6. Round j to four decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3328 + -3293.21. Let w = b + -34. What is w rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2666*d**2 - 2 - 3342*d**2 + 255*d**2 to the form p*d**2 + u + b*d and give p.\nAnswer: -5753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -819\/17. Let m = 6 + -6. Suppose 3*l + m*l = 0. Is l smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1719, -6892, -15513, -27582, -43099, -62064, -84477?\n\"Answer: -1724*s**2 - s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4983*d + 4984*d = -17 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w**2 - w. Let f(b) = -3*b + 3*b**2 + 10*b**2 + 8*b**2. Let m(y) = -6*f(y) + 13*r(y). Find the second derivative of m(a) wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(10\/(-9))*-5. Let t be (-2)\/f - 38\/72. Suppose 4 = 3*b - 4*z - 6, 3*b = -z - 10. Which is greater: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 + 1. Let y be 1\/(8\/(-4)) - (-5)\/2. Suppose -y*g + 0 + 4 = 0. Which is the third biggest value? (a) h (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065163313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 12050?\nAnswer: -12024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2. Let h(n) = -215*n. Calculate h(i(p)).\nAnswer: 645*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - (-4 + 5) - -2147*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l - 2. Let v be u(-3). Let g = v + 24. What is the highest common factor of g and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 641*p - 273*p = 864*p - 44164 + 4980 for p.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 43848?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2819645*k**2 - 1505776*k.\nAnswer: -5639290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*v**2 + 12*v + 8*v - 20*v as o*v**2 + b*v + y and give o.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h, 0 = 3*c - 45*h + 49*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 99.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/4 - 8299*o**4\/4 + 140899*o**3\/4 - 869885*o**2\/4 + 569450*o - 517625 = 0.\nAnswer: 2, 5, 8282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 3 + 0 - 4)*(484 - 45*g**2 - 484).\nAnswer: -135*g**3 + 45*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 40 = 4*a. Let k(n) = 11*n**2 + 15*n + 9. Let y(f) = -7*f**2 - 10*f - 6. Let j(l) = a*y(l) - 5*k(l). Let t be j(-5). Solve -t*w = 2*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/120*(-3 + 100\/28).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -71. Suppose 6 = g*p - p. Suppose -p*f - 5974 = -37744. Round f to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68791952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -0.253 (c) 0.5047\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 4:45 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 76 + 84 = 0. What is the greatest common divisor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*x**3 + 163668*x**2 - 549360*x.\nAnswer: -2*x*(x - 3270)*(25*x - 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -9431\nAnswer: 2\/9431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 7*u + 22. Let b(z) = -3*z + 11. Give -7*b(y) + 3*w(y).\nAnswer: 3*y**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -141*v + 137*v - 54, -4*k + 70 = -30*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-143) - (-42)\/273. What is the nearest to -4\/27 in 3, u, -4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1202 = -3*c, 3*t + 1244 = 2*c - 569. Let z(q) = -15*q**3 - 9*q - 7. Let p be z(-4). Let v = p + t. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 15. Suppose -104 = -5*j - l, 4*j - 5*l - 79 = -x*l. Solve -4*s - j + 9 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*j - 6. What is the least common multiple of 132 and j?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - -2) + 433 + -420\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1701 - 1691. Calculate the smallest common multiple of 252 and b.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azt when three letters picked without replacement from {z: 2, t: 7, a: 5, v: 2, q: 2}.\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/8310 or -1?\nAnswer: -1\/8310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 98*c - 99.\nAnswer: (c - 99)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-369)\/41*32\/(-12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3148*t + 226630. Give x(72).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -10144?\nAnswer: 10145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65395 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f + 54 - 114 = 42 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u - 1. Let r be h(-2). Suppose 0 = -v + 3, r*i = -3*v + v + 26. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14598 - 5249 = -276*l - 4667 for l.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43278 - 29614. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 17, 2\/295?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -456 (base 13) to base 3\nAnswer: -1000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(78)\/(sqrt(6)*1) - sqrt(13))*1 + -4 + sqrt(832) + -2 + sqrt(832) + sqrt(832).\nAnswer: -6 + 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3972)\/(-60) - 1\/5. Let d(p) = -p**3 - 16*p**2 + 6. What is the lowest common multiple of d(-16) and (-268)\/(-22) + (-12)\/v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -0.331164.\nAnswer: -0.031164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*k**2 + 2*k**3 - 52*k**2 + 3*k**3 - 53*k**2 to t*k**2 + a*k**3 + j*k + q and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -354 = -479338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -143*g**3 - g**2 - g - 1. Let a be v(-1). Let f = a - -445. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4*b - 10 = 0, -2*b = 835*q - 834*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*w - 10, u = -w - 3*w - 26. Let c = -1301\/6 + 3374\/15. Find the common denominator of 141\/w + 2\/3 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1698299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 6804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 4 + 4 - 2 + 1 + (-1 + 2 + 0)*(-3 + 3 - 1) + 0 + 1 + 0)*(-33*b - 30*b + 61*b - 4*b**2).\nAnswer: 12*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1a5125 (base 12) to base 9\nAnswer: -777772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.1 - -7.1. What is the biggest value in -2\/27, 2\/11, a, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27 and (-4)\/((-234)\/(-74) - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69855201389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 25*f + 206546 = -2*v, 3*f = -2*v + 154920. List the prime factors of f.\nAnswer: 2, 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61964388 a multiple of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3385 + -1636. Let g = k - -7450. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqltqltqqlq. Give prob of picking 1 t and 2 q.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 + r**2 - r - 1. Let h be d(1). Let t be 0\/((-1 + 0)\/(2\/h)). Solve 2*s = -4*g + 2, t*g + 5*s + 37 = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3666 - 4*i + 2989 + 2*i in the form f*i + r and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from ffif.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3242 - 3197.66. Round t to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 22*f - 54. Let y(p) = 65*p - 148. Let c(a) = 11*j(a) - 4*y(a). Let l(v) = -v. Calculate c(l(n)).\nAnswer: 18*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -6. Let n be ((-13)\/(-18) - 1)\/((-170)\/102). Let y = 2650 + -2652. What is the nearest to 0.1 in t, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693753997303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 10*f - 339 - 238 = 539 for f.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -26*v**2 - 94*v + 191. Determine c(2).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2030202 + 11?\nAnswer: -2030141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v - 5*x - 1186, -3*x - 1186 = -2*v. Suppose -5*h - 2*l + 8022 = 0, -h + 3*l = -1008 - v. Let y = h + -957. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(27983 + 5*v**2 + 6*v**3 - 27983).\nAnswer: -12*v**3 - 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (12 - (12 + -8)) + 103 - (-60 + 50).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 207*o**2 + 4*o - 19. Let g be m(4). Suppose 23*s = 24*s - g. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 7*q**6\/15 - q**4\/6 + 28*q**3\/3 - 47*q - 2. Find the second derivative of y(p) wrt p.\nAnswer: 168*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1519 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440 divided by 110.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 minus 0.329944230323?\nAnswer: 1.170055769677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59.156 + 0.156. Let w = j + 59. Suppose 0 = -8*m + 3*m + 5, 0 = 2*s + 5*m - 11. What is the closest to -2 in s, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 5:57 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 4*u**2 - 2*u**2)*(-3 + 0 + 2) + 4*u**2 - u**2 - u**2 + (2*u + 5*u - 5*u)*(4*u - u - 5*u) + 2*u**2 - 4 + 4.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1\/(w\/w**2*w)*w\/w**(-2\/3)*w*w*(w\/(w\/w**(-1\/2)))\/w assuming w is positive.\nAnswer: w**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62604, -124467, -186330, -248193, -310056?\nAnswer: -371919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - g**2 + 4*g - 8. Let r be y(5). Suppose p - 53 = -o, 95*p + r = 100*p - 2*o. Calculate the lowest common multiple of p and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -61*g + 49*g. Calculate the smallest common multiple of g and 13.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89494899*m**3 - 44747448*m**3 - 44747449*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3722620 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15498 - -501482. Let c = y + -1635008. Let r = 488028 + c. What is r rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.8, 1\/7, -79.3?\nAnswer: -79.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -33.734.\nAnswer: 101.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5 + 5 - 12*w. Suppose -9*p = 19*p - 140. Let j be (-84)\/(-70)*p\/3. Let z(u) = 2*u. Give j*g(i) + 14*z(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -69 + 78 + -16 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -835, -924, -1035, -1162, -1299, -1440, -1579?\n\"Answer: c**3 - 17*c**2 - 45*c - 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 369696.\nAnswer: -1\/123232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Suppose -4*v = -j - 25, 6*j = -v - 112 + 87. Which is the second smallest value? (a) y (b) j (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(1 - 1 + 2*y**2) + 5*y - y**2 - 5*y + y - 2*y**2 - y + (7*y - 4*y + 11*y)*(-y + 11 - 11).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (1 + -17)) + -22 + -47 + 61?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 19. Suppose 2*o - p*z - 17 = -o, 3*o = -4*z + 8. Which is the second smallest value? (a) -4 (b) -1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:54 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 145899 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46 or 1613\/36?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 3*s + 7*s)*(-1 - 5 + 3 + 1 + 0 - 3 + (-1 + 0 + 0)*(1 + 2 - 5) + 0 + 3 - 2 + 7 + 9 + 9).\nAnswer: 207*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 37.2, -2, -1\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-4)*(-14 - -18). Suppose -v - g*r = -25, -5 = -2*v + r + 2*r. Suppose -2*q + 0*q + v = 0. Solve -q*t + 32 = 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21331020313 + 2?\nAnswer: -21331020311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 73 = -117. Let g = 4 - 2. Let h be ((-8)\/10 + g)*285\/i. Which is the smallest value? (a) -1\/4 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 - 0.8. Let o = 3 - 1. Let m = -209 - -209. Which is the closest to -1\/9? (a) r (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2061*s**4 + 33*s**3 + 392902*s**2.\nAnswer: 49464*s + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + 6 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 83450000 to the nearest 1000000.\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -8.4, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 31 = 2*w, 3*w + f = -3*f + 4. Let q(r) = -3 - 2*r**2 - 10*r + 15*r - 6*r**2 - 2 + r**3. Is q(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 5, -0.3, 2, 4.\nAnswer: -23, -0.3, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 12*h**2 - 10*h - 3. Calculate f(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 455 = -3*f, 0 = f - 2*f - 4*l + 180. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (35 + -29)*(1 - 0)\/1. Solve -l + 10 = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4033, -2, -28.\nAnswer: -28, -2, 4033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.09 and 2034.816.\nAnswer: 2034.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 950*o + 29. Suppose 3*w - 2 + 12 = -h, 26 = 5*h - 4*w. Is p(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 104 = 46. Let i be 12\/5 + 12\/k. Solve 5*b = 25, i*b = 5*f - 0*f + 30 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 5, a: 5, e: 1}. What is prob of picking 1 a and 1 r?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4233 - -253?\nAnswer: -3540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1840\/11*z**3 + 17136*z**2 + 6492096\/11*z + 4244832\/11 + 6\/11*z**4.\nAnswer: 2*(z + 102)**3*(3*z + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1708 + 1713. Which is the smallest value? (a) -4 (b) -0.4 (c) z (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -101*y**2 - 7*y - 6. Let n(f) = 302*f**2 + 20*f + 17. Calculate -6*n(l) - 17*z(l).\nAnswer: -95*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*x + 32. Let i(j) be the second derivative of 1\/12*j**4 + 0*j**x + 0 - 1\/20*j**5 + 2*j + 0*j**3. Factor i(p).\nAnswer: -p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + (-23 - -22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 4, 0.5, -2 in ascending order.\nAnswer: -2, 0.5, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7126496 and 1192.\nAnswer: 1061847904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 900 and 119200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -252.3\nAnswer: 50.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 1. Let w be i(2). Suppose 0 = -2*c + 3*j + 105, 0 = -w*c + j - 0*j + 161. Is 27 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -12 + 161*f - 8 - 85*f - f**2 - 86*f. What is w(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/(5\/3). Let a = -9443 + 9435. Sort a, 4, z in descending order.\nAnswer: 4, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*(sqrt(45) - sqrt(5))*3)**2.\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -17. Let d be (-2)\/(-3) - (-50)\/u. Put d, -4, -1 in decreasing order.\nAnswer: d, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + d = -0*d + 67, a - 2*d = 19. Suppose -a*z + 12*z = -35. Let r be ((-2)\/(-4))\/(z\/56). Solve 0 = -r*i - 6 + 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**7\/168 + b**5\/40 - b**3\/24 - 18*b. Suppose k(l) = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21*(-5)\/(-15)*(1 - -1) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or -29210\/113?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416430 and 16335?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 9:08 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7876, 7873, 7870, 7867?\nAnswer: 7864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 + 2. Let o = 0.99 + -0.49. Which is the biggest value? (a) o (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35863470 is divided by 272?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlwzsilwesele. What is prob of sequence llz?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -459.86 - -460. What is the closest to 0 in -5, 1.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*p - 39*p + 12 = 0. What is the tens digit of (p\/4)\/(15\/(-570))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*n + 5*n = 792 + 1121 - 1505 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/36)*g*g**(-5\/6) assuming g is positive.\nAnswer: g**(5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 17 = -3*r + 5*y, 0 = 3*r - 3*y - 3. Let s(u) = -5*u**2 - 5*u - 11. Let q(p) = 3*p**2 + 3*p + 6. Let x(o) = 7*q(o) + 4*s(o). Calculate x(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k**3 - 2*k**2 + 1. Let d be 4\/(-6) - 20\/(-12). Give u(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + -84. Is 6\/(-18) + 2392\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 12:27 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 10:49 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 0 + 6*m + 2*m**2 - 4 - 14*m. Let p = 3042 + -3032. What is the units digit of z(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189271610 to the power of 1\/2, to the nearest integer?\nAnswer: 34486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:04 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -216 + 492. Let i = 281 - w. Solve 3*z = 5*f - i, -f + 2*z + 6 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(5\/2))\/(d\/(d*d*((d\/d**(-7\/6))\/d)\/d*d)))**(-1\/18))**(-15) assuming d is positive.\nAnswer: d**(85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnnnnnnnnnnmnnnnnn?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32072.\nAnswer: 2, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/(-539) + 162\/567)*(-2)\/11?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - -281)\/(-4)*(-254)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -4 - (-3 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160079 is divided by 428?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-5)\/(-50))\/(48\/(-440))\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Suppose -4*c + 8 = 0, 0*o - 4*o + c + 78 = 0. Let r(y) = 19 - 39 + o - 23*y. Calculate r(g(m)).\nAnswer: 23*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02600095 - -0.026. What is j rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Suppose j - 2 = -j, -47 = 5*s + z*j. Let w = s - -23. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-92 - 1)\/((-2)\/(-8)). Let m = -141 - v. Suppose 3*z = -5*b + 78, -4*z - 3*b = 41 - 134. Calculate the highest common divisor of m and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 17 = -5*p, -2*i = 7*p - 3*p + 14. Let u be (-1)\/7 - (-72)\/168. What is the nearest to -1 in 4, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2. Let n(i) be the first derivative of -7*i**2\/2 - 2*i + 154. Let k(y) = 195*y + 55. Let m(h) = 2*k(h) + 55*n(h). Determine a(m(b)).\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*o + 13556 = 1067*o + 2011 + 405 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 + 6*f + 3. Let n(a) = a**3 + 49*a**2 - 5*a - 242. Let g be n(-49). Give o(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -54978074, -54978072, -54978070, -54978068?\n\"Answer: 2*x - 54978076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*(-1 + 0 + 2)*(3*w + 15*w - 4*w).\nAnswer: 42*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 510, 479, 428, 357, 266, 155?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/514122 and 19\/84.\nAnswer: 1028244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1.4, -0.08, -1007, 0, 12?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 53 - (41 - 16 - -6)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23388080873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 435?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 642525619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1071\/10 - 107. Let h be (-4)\/(-80)*(0 - -13). Let r = -1\/4 + h. Which is the nearest to r? (a) -2\/7 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3649.078 years in decades?\nAnswer: 364.9078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -4, 3, 5\/27, 584?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2302 - -2306. Solve -m - 10 = -4*v - 2, 8 = w*v - 3*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 1) + 2\/11. Let n = 38 + -37. Which is the nearest to n? (a) 0.2 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-346.181447\nAnswer: 173.0907235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**3 + 4*q**2 - 6*q + 13. Is w(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 10 - 48 + 3*f**5 + 95*f + 59*f - 5*f**5 - 4*f**4 - 172*f**2 + 72*f**3 - 10 = 0.\nAnswer: -8, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3000363, -6000737, -9001111, -12001485, -15001859, -18002233?\n\"Answer: -3000374*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43759\/176 - -2748\/11. Calculate the common denominator of 6\/18 + (-119)\/6 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129768?\nAnswer: 2, 3, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -382820.\nAnswer: 1\/382820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4809099 is divided by 2404544?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -29. Let q = -5 + d. Let p be 1 - ((-7)\/(-6) + 0). Put p, q, 3 in descending order.\nAnswer: 3, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 less than 4947.9?\nAnswer: 4997.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 1524*g**5\/5 - 2*g**3\/3 + 243*g - 1245. What is the third derivative of t(o) wrt o?\nAnswer: 36576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -183*t - 104. Is p(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**3\/3 + 15*a**2\/2 - 11*a. Let o(m) = -m - 8. Determine 6*d(u) + 11*o(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwvvivv. Give prob of sequence wv.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q\/q**(3\/2))\/q)\/q*q)\/(q**17\/q))\/(q**(1\/8)*q*(((q**2\/q)\/q)\/q*q)\/q) assuming q is positive.\nAnswer: q**(-133\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(95)\/sqrt(5)*3 - (sqrt(1900)*4 + -5).\nAnswer: -37*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 995, 934, 873?\n\"Answer: -61*t + 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 h when three letters picked without replacement from {x: 9, u: 1, r: 7, a: 1, h: 2}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 307645410 by -3.\nAnswer: -102548470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let b(j) = -1429*j**2. Calculate b(f(o)).\nAnswer: -1429*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 11924 = -4*r - r, -3*s - 4*r = -11923. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**2 - 6*x**2 + 32*x**2 - 3*x**2 - 5*x**2 - 2*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -124a5 (base 12) to base 5\nAnswer: -1244033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*a - 76*a + 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -24*h. Let g(u) be the second derivative of -u**3 - 86*u. Calculate p(g(q)).\nAnswer: 144*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*o + 0*o + 15 = 0, -15 = -5*p + 2*o. Let i be (p\/3)\/((-4)\/6). Let c = i - -3. What is the closest to 0 in 2, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**6\/25 - 3*q**5\/10 - 4*q**4\/5 - 4*q**3\/5 - q + 2. Factor y(x).\nAnswer: -6*x*(x + 1)*(x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-5)\/(-25) - -2)\/(4\/10) and -37\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(1\/23)\/z))\/(z\/(z\/(z*z*z*z**(7\/2)\/z)*z)))\/((z*z**25)\/(z*z**(-2))) assuming z is positive.\nAnswer: z**(-1359\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4508*p**3 + 40124*p**2 + 4272*p - 2160 = 0.\nAnswer: -2\/7, 30\/161, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/6 + 0 - 52\/(-8). Sort 2, i, 3.\nAnswer: 2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 342575294?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1038*i**3*x + 180540887*i**3 - 3958*x with respect to x.\nAnswer: 1038*i**3 - 3958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/132 and ((-1)\/(-20))\/((-8304)\/(-2175) - 4).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72829, 1, 18.\nAnswer: 1, 18, 72829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/40*4)\/((-24)\/(-30))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**4\/18 + 76*w**3\/27 + 80*w**2\/9 - 3937. Solve m(x) = 0 for x.\nAnswer: -2, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296327890 to the power of 1\/3, to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27213 and 36284.\nAnswer: 108852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**1)**(1\/64)*(p\/(p*(p*p*p**(-1\/4)*p)\/p))**(-2\/51))\/((p\/(p**(-4\/5)\/p))\/(p\/((p**3\/p)\/p)))**(-12) assuming p is positive.\nAnswer: p**(549727\/16320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q - 11*q + 3*q + 8 + 3*q**2 to r + u*q**2 + d*q and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - 248*k**4 + 5*k - 5 - 57*k**2 + 2 + 249*k**4 + 4 to the form u*k**3 + q + n*k + b*k**4 + y*k**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10263 - 2281 = -112*i. What is the remainder when 1430 is divided by i?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57486?\nAnswer: 2, 3, 11, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2058, 15906, 53492, 126684, 247350, 427358?\n\"Answer: 1978*x**3 + x**2 - x + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 3.6 (b) 40\/7 (c) 3\/8 (d) -1\/5 (e) 4 (f) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.689, 3, -4, 0.05951, 4 in descending order.\nAnswer: 4, 3, 0.05951, -0.689, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**4\/2 + 5*k**3\/6 + 26*k**2. Differentiate l(q) with respect to q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + t = 35, t = -3*f + 5*t + 21. Let x(r) = 4*r - 8. Let q be x(f). Let s = q - 14. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9220019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(56)\/sqrt(4)*-6 - -1*sqrt(56)))\/(2*sqrt(1458) - 1*sqrt(2592)).\nAnswer: 8*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 0*r**4 + 1\/6*r**6 + 0*r**3 - 47*r**2 - 98 - 41\/5*r**5 + 0*r. Find the second derivative of s(u) wrt u.\nAnswer: 20*u**3 - 492*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -983\/9 less than -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, -263, -589?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 67. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6 and -23\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 84612.974240188?\nAnswer: -84615.974240188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1568*j = -1569*j + 11. Let t(i) = i**3 - 10*i**2 - 13*i + 6. Determine t(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 57, -11 in descending order.\nAnswer: 57, 4, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -4) + -12 + 3 + (-23 - -4).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -936 - -937. Let s = 0.81 + -0.71. What is the closest to s in h, 0.2, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 403*y + 968. What is p(-5)?\nAnswer: -1047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2 - 8753*i + 1226958 = 0.\nAnswer: -8891, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (2 + -13 + 2)) + (-44 - 6).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 = w + 2*t, 2*t = 5*w. Suppose -w*m = -3*q - 14, 0*q - 20 = -4*m + 2*q. Suppose -3*v + v + m = 0. Put 4\/9, 0.4, v in descending order.\nAnswer: v, 4\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1.003. Let t = -0.843 - h. Let c = t - -0.8400114. What is c rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 19*j**4\/24 + j**3\/6 - 31*j**2. Determine k(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66286 divided by -2882?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 - 32*v**2 + 107*v**2 - 41*v**2.\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*z + 6543 - 6646 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -23*d + 31. Find the second derivative of -4*i + 4 + 127*i**2 + 3 - 31*i**2 + 24*i**d + 1 wrt i.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -170 - u + 179 - 105*u**2 + 82 wrt u?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b50 (base 16) to base 7\nAnswer: 26246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8542136453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -11*b**3\/3 + 9431. Let m(p) = 2*p**2 - 1057. What is m(w(x))?\nAnswer: 242*x**4 - 1057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}